Combined Maths and All Sciences Notes
Combined Maths and All Sciences Notes
Combined Maths and All Sciences Notes
ORG
CAIE IGCSE
MATHS (0580)
SUMMARIZED NOTES ON THE SYLLABUS
CAIE IGCSE MATHS
(0580)
1.Number
Natural numbers:
used for counting purposes
A∩B is shaded A∪B is shaded
all possible rational &irrational numbers
Integer: a whole number ⊂ ‘is a subset of’
Prime numbers:
divisible only by itself and one
1 is not a prime number
Rational numbers: can be written as a fraction
Irrational numbers: cannot be written as a fraction e.g. π
Cube numbers: made from multiplying a rational number
to itself twice. ξ = {a, b, c, d, e} A’ is shaded
Reciprocals: A number made by raising a rational number b ∈X
to -1, or 1 over that number
of elements in A
1.2. HCF and LCM
∈ = …is an element of…
Highest Common Factor and Lowest Common Multiple: \n otin = …is not an element of…
A′ = compliment of set A
Øor = empty set
ξ = Universal set
A ∪ B = union of A and B
A ∩ B = intersection of A and B
A ⊆ B = A is a subset of B
HCF = product of common factors of x and y A ⊂ B = A is a proper subset of B
LCM = product of all items in Venn diagram A⊄B = A is not a subset of B
1.4. Indices
Standard form:
104 = 10000
103 = 1000
102 = 100
Prime Factorization: finding which prime numbers 101 = 10
multiply together to make the original number 100 = 1
10−1 = 0.1
1.3. Sets 10−2 = 0.01
10−3 = 0.001
Definition of sets e.g. 10−4 = 0.0001
A = {x: x is a natural number} 10−5 = 0.00001
B = {(x, y): y = mx + c}
Limits of accuracy:
C = {x: a ≤ x ≤ b}
D = {a, b, c, …} The degree of rounding of a number
Set representations: E.g. 2.1 to 1 d.p 2.05 ≤ x <
2.15
Finding limits when adding/multiplying: add/multiply
respective limits of values
Finding maximum value possible when
dividing/subtracting: max value divided by/minus min
value
A∩B is shaded A∪B is shaded Finding minimum value possible when
dividing/subtracting: min value divided by/minus max
⊂ ‘is a subset of’
value
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1.5. Ratio & Proportion Units of speed: km/hr or m/s
Units of distance: km or m
Ratio: used to describe a fraction
Units of time: hr or sec
e.g. 3 : 1
Foreign exchange: money changed from one currency 5
to another using proportion km/hr × = m/sec
E.g. Convert $22.50 to Dinars 18
18
$1 : 0.30KD m/sec × = km/hr
$22.50 : 6.75KD 5
Map scales: using proportion to work out map scales
1km = 1000m 2.Algebra & Graphs
1m = 100cm
1cm = 10mm
Direct variation: y is proportional to x
2.1. Factorisation
y = kx 3x2 + 6x
Inverse variation: y is inversely proportional to x 3x(x + 2)
1 Difference of two squares:
y∝
x
k 25 − x2
y=
x (5 + x)(5 − x)
Percentage: 4d + ac + ad + 4c
Convenient way of expressing fractions
Percent means per 100 4 (d + c) + a(c + d)
Percentage increase or decrease:
(4 + a)(c + d)
Actual Change
P ercentage increase = × 100 Trinomial:
Original Amount
Simple interest: x2 + 14x + 24
PRT x2 + 12x + 2x + 24
I =
100
x (x + 12) + 2 (x + 12)
Where, P = P rincipal, R = Rate Of I nterest,
and (x + 2)(x + 12)
T = T ime
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ax2 + bx + c = 0 - Quadratic Formula
e.g. x2 − x − 6 = 0
Factorize a out Where a = 1 , b = −1 , c = −6
Plug the numbers in the Quadratic Formula:
2
b
a (x + x) + c = 0
a x = −b ±b2 − 4ac
2a
Complete the Square
b Therefore:
a ((x + ) 2 b2
— ) + c= 0 — (−1) ±(−1)2 − 4 (1) (−6)
2
2 2 4
b x= 2 (1)
b2
a (x + — +c=0
2a 4a x1 = 3
)
2 2
b − 4ac x2 = −2
b =
4a
a (x + ) - Complete the Square
2a
x+ b 2
2a b2 − 4ac e.g. x2 + 10x + 5 = 0
=
( ) 4a2 (WARNING! Coefficient of x2 Must be 1 for this to work)
b b2 − 4ac
4a2 x2 + 10x + 5 = 0
x+ =±
2a (x + 5)2 − 52 + 5 = 0
b ± b2 − 4ac 2
x+ = 4a2 (x + 5) — 20 = 0
2a
Note: 4a2 is a square number
(x + 5)2 = 20
b
x+ = ± b2 − 4ac x + 5 = ± 20
2a 2a
−b ±b2 − 4ac x = −5 ± 20
x=
2a
Answer is:
x1 = −5 + 20 , x2 = −5 − 20
Standardized form:
y = ax2 +bx + c
Complete Square form: (x − 3) (x + 2) = 0
y = (x + a)2 +b (Where axis of symmetry is x =
−a) x1 = 3
To find turning point of quadratic equation, complete
x2 = −2
the square, then the turning point is: (−a, b)
Ways to solve Quadratic equation:
Graphing Method
Factorizing Quadratic
Formula Complete
the Square
x2 − x − 6 = 0
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2.3. Reciprocal Graphs (Hyperbola)
Standardized Form:
y=a
x
If a is Positive: The Line will be Ifinathe
is Negative: The Line will be in
png) 1st&3rd Quadrant 2nd&4th Quadrant
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Using differentiation
dy
gives you the gradient of the curve at any point in
d
terms of x
n dy
When y = x , = nxn−1
d
2.5. Exponential Graphs Stationary/ turning
dy
point:′ =0
dy
st d
1 Derivative = = f (x)
dx ′′
nd d2 y
2 Derivative = = f (x)
d
To determine if stationary point is maximum or
minimum:
nd
Use 2 derivative
2
d y
Maximum point: <0
d
d2 y
Minimum point: >0 d
Use gradients around the point
Input x values slightly above and below
stationary point and calculate gradient
2.7.Simultaneous Equations
Can be solved either by substitution or elimination
Generally solved by substitution as follows:
Step 1: obtain an equation in one unknown and solve
this equation
Step 2: substitute the results from step 1 into linear
Standardized form: equation to find the other unknown
The points of intersection of two graphs are given by the
y = a (b)x
Properties: solution of their simultaneous equations
a is the y-intercept
Asymptotes are lines that a curve approaches, but 2.8. Inequalities
never touches because the curve continues to infinity,
in this case the y-axis Solve like equations
b is the rate of growth Multiplying or dividing by negative ⇒ switch sign
When 0 < b < 1, the graph will go downwards from
y
left to right ≥ −7
−
y ≤ −7 × −3
2.6. Gradient of a Curve y ≤ 21
By drawing tangents
In a straight line, gradient is constant When two inequalities present, split into two
Curves have varying gradients throughout the graph.
To find the gradient at a point:
x < 3x − 1 < 2x + 7
1. Draw the graph
2. Draw a tangent at the point in the graph, ensuring it
x < 3x − 1 3x − 1 < 2x + 7
only touches the graph at that point (Use a ruler)
x> 1 x<8
2
3. Find the gradient of the tangent 1
<x<8
2
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For non-strict inequalities (≤, ≥) use solid line
Steps to solve:
Interpret y = mx + c
Draw straight line
graphs Shade
Solve From O to A: Uniform speed
From A to B: Constant speed (acceleration = 0)
From B to C: Uniform deceleration / retardation
3.2. Congruence
Gradient = speed
SSS (Side – Side – Side) rule: All the three sides of the
triangles must be equal
2.12. Speed-Time Graphs
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Rectangle:
Parallelogram:
RHS (Right angle – Hypotenuse – Side) rule :
There must two right-angled triangles Opposite sides parallel/equal
The length of the hypotenuses must be the same
opposite angles equal
One of the corresponding sides of each triangle must be
the same
diagonals bisect each other
SAS (Side – Angle – Side) rule:
Rhombus:
There must be an angle and a side present A parallelogram with all
The angle of the adjacent sides must be equal sides equal
The two sides of the triangle must be equal
opposite angles equal
Trapezium:
Kite:
3.5. Construction
Constructing triangles:
3.4. Quadrilaterals
Rectangle:
Opposite sides parallel/equal
all angles 90°
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3.6. Symmetry
Line of symmetry: Divides a two-dimensional shape into
two congruent (identical) shapes Corresponding angles are equal
Plane of symmetry: Divides a three-dimensional shape
into two congruent solid shapes
Alternate angles
Properties of circles:
Equal chords are equidistant from the centre
The perpendicular bisector of a chord passes through
the centre
Tangents from an external point are equal in length
3.7. Polygons
∘
Sum of angles at a point = 360
∘
Angles on a straight line = 180
Sum of angles in a triangle =
180∘
For regular polygon ∘
360
External angles =
Internal angles n
360∘
= 180∘ − n
For irregular polygon:
∘
Sum of exterior angles = 360
Sum of interior angles= 180(n − 2)
Vertically opposite angles are equal
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OR
ab sin θ
1
Triangle= b×h
2 a + b) h
1
Trapezium
= 2(
Circle= πr 2
Sector= πr 2 × θ
3
4.3. Units
Volume:
Angles in semicircleare
90° Opposite angles in a cyclic
quadrilateral = 180°
Mass:
Tangents from one point
are equal. ∠ between
tangent and radius is Alternate segment theorem
90°
4. Mensuration
4.1. Area
Parallelogram = b × h
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x1 + x2 y1 + y2
,
( 2 2 )
6. Trigonometry
Connecting volume and capacity:
Capacity: 6.1. Bearings
3
1ml = 1cm
1kl = 1m3
Mass ( ) = another point A 2
Density = Volume Thef(x)
bearing
= 1 of a point B from ()=
is:
An angle measured from the north at A.
Midpoint of Graph:
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6.4. Graphs of simple trigonometric
functions
∘
sin (x) = sin (180 − x)
Angle of depression:
Angle below the horizontal line.
1
ab sin c
Area of a triangle:
2
6.3. Ratios
Sine and cosine shifted by 90°
Right angled triangles: Sine has x-intercepts at multiples 180°, and cosine at (90°
+ multiples of 180°)
opposite ∘
sin x hypotenuse → SOH tan (x) = tan (180 + x)
adjacent
cos x hypotenuse
→ CAH
opposite
tan x = → TOA
adjac
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a b c The centre, angle and direction of rotation are needed
=
sin a sin b sin c to describe a rotation
= A clockwise rotation is negative, and an anticlockwise
Cosine rule
a2 = b2 + c2 − 2bc cos a
Area of image = K 2 ×
area of object
method’
8. Probability
Multiplication by a scalar:
Scalar quantity: has a magnitude but no direction Probability is the study of chance, or the likelihood of an
The negative sign reverses the direction of the vector event happening
Column vector:
number of favourable outcomes
P (event) =
total number of outcomes
If probability = 0, event is impossible
If probability =1, event is certain to happen
All probabilities lie between 0 and 1
8.2. Events
Top number = horizontal component
Bottom number = vertical component Two events are exclusive if they cannot occur at the same
time
Parallel vectors:
Vectors are parallel if they have the same direction
In general, the vector k ( a ) is parallel to ( a )
b b
Modulus of a vector:
m
In general, if x = ( ), ∣x∣ =(m2 + n2
n
7.2. Transformation
Reflection (M):
When describing a reflection, the position of the
mirror line is essential
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Rotation (R):
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Symbol : P (A∣B)
Construct the Venn diagram, using sample space of both 9.2. Averages
events
P(A|B) = P(A ∩ B) / P(B) Mean
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Median:
Difference in position of boxes represents if data in
The middle value - when the data has been written in
one set is overall higher or lower than another data
ascending or descending order
5+1 set. (3) and (4)
Odd no. of values = 3rd value
2
6+1
Variation in lengths of different sections and position
Even no. of values = 3.5th value of median show how evenly the data is
2
(add two values divide by 2) spread, compared to other data sets (1)
Mode:
Most frequently occurring value
Range:
Difference between highest and lowest values
Exclusive events:
Estimated mean of grouped data:
Work out midpoints of each group and multiply by
frequency
Divide by number of values
9.5. Pie Charts
9.3. Cumulative Frequency
Sectors represent data, and these sectors form a circle.
Cumulative frequency is the total frequency up to a given
point Angle of a sector:
Interpretation:
Median, quartiles and extreme values can be found
by reading on the scale of y-axis
Short boxes mean low IQR and vice versa (2), (3)
Long whiskers mean a lot of extreme values and vice
versa (1)
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9.7. Pictograms Displays the correlation between two sets of data
May have positive, negative or no correlation
Data is represented in pictures
A key is given to represent the value of a picture.
E.g. = 5 people
Line of best fit drawn through points that has an equal
number of points on each side to show the trend
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CAIE IGCSE
BIOLOGY (0610)
SUMMARIZED NOTES ON THE THEORY SYLLABUS
CAIE IGCSE BIOLOGY
respiratory system
2. Characteristics and
Classification of Living
1.2. Levels of Organisms
Organization
Cell Function Adaptation(s) Diagram 2.1. Characteristics of Living
Biconcave shape Organisms
Red No nucleus
Transport of
blood Movement: action by an organism or part of an organism
oxygen Flexible
cell causing a change of position or place
Has haemoglobin
Respiration: the chemical reactions that break down
Long
nutrient molecules in living cells to release energy
Many protein
Contracts to get Sensitivity: ability to detect or sense changes in the
Muscle fibres in
structures environment (stimuli) and to make responses
cell cytoplasm to
closer together Growth: permanent increase in size and dry mass by
shorten cell an increase in cell number or cell size or both
when Reproduction: processes that make more of the same
energy available kind of organism
Excretion: removal from organisms of toxic materials, the
waste products of metabolism (chemical reactions in cells
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3.2. Osmosis
Movement of water molecules from a region of high-
water potential to a region of low water potential, through
a partially permeable membrane
Conc. of solute outside cell = conc. inside cell → no change
in size
Conc. of solute outside cell > conc. inside cell → cell
shrinks (Plasmolysis)
Conc. of solute outside cell < conc. inside cell → cell swells
(Turgid)
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In animals:
Each chromosome is a very long molecule of tightly
Increasing solute concentration inside of cell can
coiled DNA
cause cell to explode as a result of it having too much
Two strands coiled together to form a double helix
water, crenation.
Each strand contains chemicals called bases
In plants:
Cross-links between strands are formed by pairs of bases
Increasing solute concentration inside of cell causes
The bases always pair up in the same way:
cell to become turgid, vacuole fills up.
A and T
Decreasing solute concentration inside of cell causes
C and G
cell to become flaccid, losing water and vacuole gets
smaller. Cell body shrinks, pulling away from cell wall
5.Enzymes
3.3. Active Transport
Catalyst: a substance that speeds up a chemical reaction
Movement of particles through a cell membrane, from a and is not changed by the reaction
region of lower concentration to a region of higher Enzymes: proteins that function as biological catalysts
concentration against a concentration gradient, using Enzymes lowers amount of energy needed for reaction to
energy released during respiration take place
Active transport is needed when an organism wants to Enzyme lowers the activation energy needed for reaction
optimize the amount of nutrients it can take up - ion to take place
uptake by root hairs and uptake of glucose by epithelial Lock and key theory:
cells of villi.
4.Biological Molecules
Carbohydrates: made from Carbon, Hydrogen and
Oxygen (CHO)
Fats and oils: made from Carbon, Hydrogen and Oxygen
(CHO)
Proteins: made from Carbon, Hydrogen, Oxygen, Substrate: the molecule(s) before they are made to react
Nitrogen Product: the molecule(s) that are made in a reaction
and sometimes Sulfur (CHON{S}) Catabolic reaction: molecules are broken down
Anabolic reaction: molecules are combined
Basic units (monomers) Larger molecules (macromolecules)
Simple sugars Starch and glycogen 5.2. Effect of Temperature on Enzymes
Fatty acids and glycerol Fats and oils
Amino acids Proteins Enzymes have an optimum temperature: the
temperature at which they work best giving the fastest
reaction ≈ 37°C in animals
4.2. Chemical Tests When temperature increases, molecules move faster so
collide with an enzyme in less time
Starch: Add few drops of iodine, +ve result = blue-black
Having more energy makes them more likely to bind to
colour
active site.
Reducing sugars: Add Benedict’s reagent, then mixture is
If temperature is too high, enzyme molecules vibrate too
heated in water bath for 2 to 3 minutes. +ve result = brick-
vigorously and enzyme is denatured; it loses its shape
red precipitate, -ve result = remains blue
and will no longer bind with a substrate.
Proteins: Add few drops of Biuret reagent, +ve result =
When the temperature is too low there is not enough
mauve colour
kinetic energy for the reaction so it reacts too slowly.
Fats: Emulsion test; ethanol is added to mixture, and this
is poured into a test tube with an equal amount of distilled
water, +ve result = milky-white emulsion 5.3. Effect of pH on Enzymes
Vitamin C: Decolourisation of DCPIP shows that a
vitamin C is probably present. Enzymes are sensitive to pH
Some enzymes work best in an acid and others in an
alkaline
4.3. Structure of a DNA
Enzymes work best at their optimum pH
If the pH is changed then the enzyme will denature and
Chromosomes are made of a molecule called DNA
will no longer fit with substrate- no reaction takes place
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5.4. Graphs for Changes in Warmed in ethanol until leaf is colourless to extract
chlorophyll, which would mask observation
Enzyme Activity
Dipped in water briefly: to soften leaf
Leaf is placed on a white tile and iodine is added. If starch
Effect of Temperature Effect of pH
is present, colour will be blue-black and if absent, it will
remain orange
6. Plant Nutrition
Photosynthesis: process by which plants
manufacture carbohydrates from raw materials
using energy from light.
6.4. Carbon Dioxide is Necessary for
light+cholorophyll P hotosynthesis
C arbonDioxide + Water Glucose + Oxyg en
6CO + 6H O light+cholorophyll Take two destarched potted plants.
2 2 +C6 H12O6 + 6O 2
Cover both the plants with bell jars and label them as A
The carbon dioxide diffuses through the open stomata and B.
of the leaf of a plant and water is taken up through roots. Inside A, keep NaHCO 3 (sodium bicarbonate). It
Chlorophyll is a dye, which traps light energy and converts produces CO2 .
it into chemical energy for the formation of carbohydrates Inside B, keep NaOH (Sodium hydroxide). It absorbs
and their subsequent storage. CO2 .
Keep both the set-ups in the sunlight for at least 6 hours.
Perform the starch test on both plants.
6.2. Chlorophyll Is Necessary for
Photosynthesis
Take a potted plant with variegated (green and white)
leaves.
Destarch the plant by keeping it in complete darkness for
about 48 hours.
Expose the plant to the sunlight for a few days.
Leaf boiled in water for 2 minutes to break down cell The leaves of Plant A will turn black after the starch test
walls, denature enzymes and allow for easier penetration The leaves of Plant B will remain orange/brown after
by ethanol. starch test
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6.5. Limiting Factors Stomata: little holes that opens and closes to allow
gaseous exchange to take place. The stomata close to
Limiting factor: something present in the environment in prevent water loss and open to let gases come in and
such short supply that it restricts life processes. out. When guard cells lose water, the stoma close (at
night), while the stoma open when guard cells gain
Light intensity water & swell (during the day).
As the amount of light
increases, the rate of
photosynthesis increases (a-
b)
The limiting factor is light
Increasing the amount of
light after a certain point has
no
effect on the rate (c)
The limiting factor is now
carbon dioxide or
temperature
Bidirectional vessel
Cuticle: waxy layer that prevents water loss from top of Contains sieve elements which allow sugars to pass from
the leaf one cell to next downwards
Epidermis: transparent cell that allows sunlight to pass Contains companion cells which provide energy for active
through to the palisade cell transport of sugars all over plant.
Palisade: found at the top of the cell and contains many Translocation moves organic molecules (sugars, amino
chloroplasts which absorbs sunlight. acids) from source to sink.
Spongy mesophyll layer: irregularly shaped cells which Phloem vessels still have cross walls called sieve plates
create air spaces to allow gaseous exchange to take that contain pores.
place; do not contain many chloroplasts Companion cells actively load sucrose into the phloem.
Vascular Bundle: made up of xylem and phloem Water follows high solute in phloem by osmosis. A positive
Xylem: vessel which transports water and dissolved pressure potential develops moving mass of phloem sap
minerals and has lignified walls made of cellulose forward.
Phloem: vessel which transports nutrients Phloem still contains small amount of cytoplasm along the
walls but the organelle content is greatly reduced.
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7.7. Diarrhoea
Diarrhoea: when not enough water is absorbed from the
faeces
To cure this is to give oral rehydration therapy 7.11. Prevention
One of these infectious by a bacterium causing
the diseases cholera (spreads rapidly) Eating food with low sugar content
The cholera bacterium produces a toxin that causes Regular and effective teeth brushing to remove plaque
secretion of chloride ions into the small intestine, causing Finishing a meal with a crisp vegetable and a glass of
osmotic movement of water into the gut, causing water
diarrhoea, dehydration and loss of salts from the blood
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7.13. Absorption
8. Transport in Plants
Function: to absorb water and minerals from the soil
8.1. Xylem and Phloem They have an elongated shape for more surface area
which increases the rate of absorption of water by
Functions of xylem and phloem osmosis and ions by active transport
To transport substances from source, where they are
taken in or made, to the sinks, where they are used 8.3. Pathway Taken by Water
To support the stem
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8.7. Translocation
Movement of sucrose and amino acids in phloem; from
regions of production (sources) to regions of storage or
to regions of utilization in respiration or growth (sinks).
Translocation in different seasons:
Spring: sucrose transported from stores in roots to
leaves
Summer & early autumn: sucrose goes from
photosynthesizing leaves to root stores,
Water enters root hair cell from moist soil via osmosis
because water potential is higher in soil than in 9.Transport in Animals
cytoplasm.
Water passes through the cortex cells by osmosis but Circulatory system: system of tubes (veins, capillaries,
mostly by “suction”. arteries) with a pump (heart) and valves (in heart and
Water and minerals are forced to cross the endodermis. veins) to ensure one-way flow of blood.
Water enters xylem then leaves when it gets to mesophyll
cells 9.2. Transport Systems
8.4. Transpiration Single circulation system (fish):
Two heart chambers
Transpiration: evaporation of water at surfaces of the Blood absorbs oxygen in gills
mesophyll cells followed by loss of water vapour from Released in body cells then back to heart
plant leaves, through stomata. Double circulation system:
Water leaves mesophyll cells, into air spaces created by Four heart chambers
irregular shape of spongy mesophyll cells, then Blood passes through heart twice
diffuses out of the stomata. Oxygenated in lungs, to heart, to body, back to heart
Wilting: occurs if water loss is greater than water uptake – Advantage: delivers greater blood flow rate to tissues
cells become flaccid, tissues become limp and plant no around the body as the heart pumps the oxygenated
longer supported blood to it from the lungs
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11.1. Gas Exchange During exercise, tissues respire at a higher rate, the
change in breathing volume and rate helps to keep CO2
Property of surface Reason concentration and pH at safe levels.
Thin (one cell thick) Short distance to diffuse
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oxygen.
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Dialysis Transplant
More expensive in the long
Less expensive in the long
run run
Very disruptive (three 6-8 hrs Not very disruptive (only have
sessions per week) to take medication)
Do not need to find kidney Need a kidney
Need a machine & must live
Can go anywhere, anytime
near one
Risk of rejection
14.Coordination and
14.3. Reflex arc
Response
A reflex action is an involuntary, quick action to respond to
14.1. Nervous Control in Humans a stimulus, in order to protect the body from danger
E.g. quickly removing your hand from hot metal surface
They involve three neurones: a sensory neurone, relay
The nervous system consists of two parts:
neurone and motor neurone.
Central nervous system (CNS) consisting of the
The gap between neurones is called a synapse.
brain and spinal cord, which are the areas of
How the reflex arc works:
coordination Peripheral nervous system (PNS) made
A stimulus affects a receptor (cell or organ that
up of nerves and neurones, which coordinate and
converts a stimulus into an electrical impulse)
regulate bodily functions.
A sensory neurone carries impulse from the receptor
Involuntary actions: not under conscious control e.g. reflex
to the CNS
action
Voluntary actions: are done if we decide to carry them out Connector/relay neurone carries impulse slowly
(because it has no myelin sheath) across the spinal
chord
14.2. Types of Neurons Motor neurone carries impulse from the CNS to the
effector
Nerve impulse: an electrical signal that passes along Effector (either a muscle or a gland) carries out the
nerve cells called neurones response
Motor Neurone:
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14.4. Synapses
14.7. Accomodation
Synapse: a junction between two neurones, consisting of
Adjusting for near and distant objects.
a gap across which impulses pass by diffusion of a
neurotransmitter
Synaptic cleft: small gap between each pair of neurones
Inside the neurones axon, there are 100s of tiny vacuoles
(vessicles each contain a chemical called
neurotransmitter)
When an impulse arrives, the vessicles move to the cell
membrane and empty their content into the synaptic cleft
The neurotransmitter quickly diffuses across the tiny gap
and attaches to receptor molecules in the cell membrane
of the relay neurone
This can happen because the shape of the
neurotransmitter molecules is complimentary to the
shape of the receptor molecule
Many drugs e.g. heroin act upon synapses
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Rods Cones
Provide low detail, black & Provide detailed, coloured
white images, good for seeing images; they work in high light
in low intensity light (at intensity.
night).
Packed most tightly around Most tightly packed at
edge of retina so you can centre of retina, so objects
see things most clearly are seen most clearly when
Comparison Nervous system Endocrine system
14.10. Hormones
A chemical substance, produced by a gland, carried by the
blood, which alters the activity of one or more specific
target organs and is then destroyed by the liver.
14.11. Adrenaline
A hormone secreted by the adrenal gland.
It increases pulse rate, makes the glycogen in muscles is
converted to glucose and released into blood, makes
you breathe deeper and more rapidly, airways become
wider, and makes skin become pale as blood is diverted
away. Increases blood glucose concentration for
respiration.
Adrenaline is secreted for example: while bungee jumping
or riding a rollercoaster
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14.13. Homeostasis
The maintenance of a constant internal environment.
Homeostasis is the control of internal conditions
within set limits
14.15. Glucoregulation
Blood glucose levels are monitored and controlled by the
pancreas
The pancreas produces and releases different
hormones depending on the blood glucose level
Insulin is released when blood glucose levels are high –
the liver stores excess glucose as glycogen
Glucagon is released when blood glucose levels are low
– the liver converts stored glycogen into glucose and
releases it into the blood
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15. Drugs
Drugs: Any substance taken into the body that modifies
or affects chemical reactions in the body.
15.2. Antibiotics
Antibiotics work by stopping a metabolic practice
14.17. Homeostatic Organs performed by the bacteria you are trying to get rid of, but
not performed by human cells.
Cells: change composition of blood as they remove
Some bacteria are resistant to antibiotics which reduces
nutrients and O2 and add wastes and CO2
the effectiveness of antibiotics
Heart: keeps blood pressure constant to deliver oxygen
Development of resistant bacteria such as MRSA can be
and nutrients around body
minimised by limiting use of antibiotics only when
Skin: to maintain heat exchange with external
essential and ensuring treatment is completed
environment
Antibiotics don’t work on viruses because they are not
Kidneys: regulate water and salt levels (osmoregulation)
really living and they make the host cell perform the tasks
and the removal of wastes like urea (excretion)
for them.
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16.5. Pollination
16.6. Germination
Pollination: transfer of pollen grains from the male part of
the plant (anther of stamen) to the female part of the A process controlled by enzymes
plant (stigma). Water: activates enzymes to turn insoluble food stores
Agents of pollination: insects, birds, mammals, water and into soluble substances, and makes tissues swell so that
wind the testa splits
Oxygen: enters through the gaps in the testa (along with
Insect Pollinated Wind Pollinated water), and is used in aerobic respiration.
Large colourful petals – attract Dull petals Temperature: must be suitable for enzymes to work (at
Sweetly scented No scent optimum temperature).
Nectaries No nectaries
Moderate amount of pollen Huge amount of pollen 16.7. Sexual Reproduction In
Pollen is spiky/sticky Pollen round and smooth Humans
Anther & stigma inside flower Anther & stigma hangs out
Stick stigma Stigma hairy Male reproductive system:
Flowers have stripes which
act
as guide-lines for insects
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Day 1 to 5:
In the ovary, FSH secreted by the Pituitary Gland to
stimulate the maturation of ONE follicle in the ovary.
In the uterus: the endometrium breaks down;
menstruation
Day 5 to 12:
In the ovary the follicle keeps maturing
In the uterus, oestrogen is secreted by follicle and the
ovarian tissues to prepare the endometrium
Day 13/14/15:
In the ovary, LH is also secreted by the Pituitary Gland
to trigger the release of the egg from follicle into the
fallopian tube
Day 15 to 28:
Ovary: contains follicles which develop into the ova and In the ovary, LH triggers formation of Corpus Luteum
produces progesterone and oestrogen In the uterus: progesterone is secreted by Corpus
Oviduct (fallopian tube): carries the ovum to uterus Luteum to keep endometrium thick, waiting for
Uterus (womb): where the fetus develops. possible embryo implant.
Cervix: neck of uterus: a strong rigid muscle, moist by Day 28 – Scenario 1: Egg not fertilized
mucus with a small opening No implantation takes place, the Corpus Luteum
Vagina: receives penis during intercourse, and way out for degenerates, causing a lack of progesterone.
baby at birth. Moist tube of muscle, flexible and secretes This means that endometrium is no longer thick,
mucus back to Day 1
Day 28 – Scenario 2: Egg is fertilized
Implantation occurs.
16.8. Menstrual Cycle This makes the hormones to keep the Corpus
Luteum maintained which means that progesterone
is high. This keeps the Endometrium thick for
pregnancy
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19.1. Food Chains and Food Webs In the process of raising an animal, plants lose energy to
environment, then animal loses energy to environment
The sun is the principal source of energy input to and does not use up all the plant material so it is very
biological systems. inefficient.
Energy flow is not a cycle; it starts from the sun and then
that energy is harnessed by plants which are eaten by Pyramid of Numbers Pyramid of Biomass
animals which are eaten by other animals.
At each step, energy is lost to the environment.
Food chain: a chart showing the flow of energy (food) from
one organism to the next beginning with a producer, for
example:
proteins
We need only a couple of vegetables to have one Primary consumers eat the plants and can make their
meal, but to have meat we must feed the animal a lot own proteins, secondary consumers eat primary
of plant material in order to get far less meat. consumers and so on.
Death and decay happens at each trophic level leading
to stage one
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Nuclear fall-out:
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5.Enzyme Activity
2H2O2 (l) → H O (l) + O
2 2
This reaction can be catalyzed by an enzyme (catalase) or
by a non-biological catalyst (Manganese IV oxide)
Method:
2
Put 3 cm of hydrogen peroxide in a test tube.
Add fresh potato strips and shake gently.
Keep your thumb on top of the test tube, or use a stopper,
to retain the gas.
Do the “glowing splint” test → the splint relights
Positive control: repeat original experiment using
manganese IV oxide → bubbles of O2 form
Conclusion: Reaction happens because of a catalyst
1st negative control: repeat original experiment using
boiled potato strips → nothing happens
Conclusion: Enzymes denature when they are at high
2.Comparisons temperatures
2nd negative control: repeat original experiment using
water instead of hydrogen peroxide → nothing
Make sure the points you use to compare diagrams are happens Conclusion: hydrogen peroxide is the
visible in the diagrams substrate
Use labels on the diagrams as your guide 3rd negative control: repeat in a cold environment, the
You can compare numbers shape and proportional sizes. effervescence should be slower
Don't compare sizes unless you're given a scale. Conclusion: enzymes don’t work as well in the cold
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9.Investigating Insulation Aim to use quantities that have magnitudes that are
towards the upper values of the scale
12.Germination
B will germinate fastest because it has access to water,
oxygen and is at a warm temperature
A does not have access to water
C does not have access to
oxygen
D has a very cold temperature even thought all other
factors are present
10.Respiration
13. Geotropism
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2.3. Filtration
Used to separate a solid from a liquid
Assessing purity
1. Drop substance onto the start line (pencil) drawn Solution is heated to increase concentration (solvent
on chromatography paper evaporates)
2. Paper is placed in beaker with solvent; the paper A drop of solution is placed on a slide to check for crystal
must touch the surface of the solvent while the line formation
must be above the liquid Solution is left to cool and crystallise.
3. Solvent travels up the paper by capillary action Crystals are filtered from solution; washed with distilled
4. Different solubilities lead to different travel rates [ water
high solubility-> high travel rate]
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Solvent It dissolves…
Water Some salts, sugar
White spirit Gloss paint
Propanone Grease, nail polish
Ethanol Glues, printing inks, scented substances
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Sulphate SO42- -2
2- Each silicon is
Silicate SiO3bonded to 4 oxygen -2
1 carbon atom 1 carbon atom
Phosphate 3-atoms, and each -3
bonded to 4 bonded to 3 PO4
oxygen is bonded
carbon atoms carbon atoms
to 2 silicon atoms 4.2. Word equations
[tetrahedral [hexagonal layers]
[tetrahedral
structure]
structure] Balancing equations: A chemical equation is balanced
when there are equal number of atoms and charges on
High m.p. and b.p High m.p. and b.p High m.p. and b.p
both sides of the equation
Conducts electricity
no free electrons no free electrons State symbols:
(free electrons)
(s) = solid
Used for cutting as (l) = liquid
Used in pencil Used in
it is strongest (g) = gas
lead and as a production
known substance (aq) = aqueous solution
lubricant of glass
3.6. Metallic Bonding Names of compounds
Compound ending with -ide only contain two different
elements
Metallic bonding: An electrostatic force of attraction between Compound ending with -ate contain oxygen
a lattice of positive metal ions and a sea of mobile electrons
4.3. Masses
Relative atomic mass (Ar): mass of one atom of an
element relative to one twelfth of the mass of one atom
of Carbon-12
Relative molecular mass (Mr): sum of relative atomic
masses of all the atoms in one molecule of the compound
Number of Moles =
molar mass
Valencies of common ions 4.6. Moles in Gases
Name Formula Valency Volume = No. of Moles × 24dm3at r.t.p (room tempe
Iron (II) Fe2+ +2
Copper (II) Cu2+ +2 4.7. Concentration
Ammonium NH4+ +1
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no. of moles
Concentration =
volume
3
Moles per dm
1mol/dm3 = 1M
Grams per dm3, g/dm3
4.10. Percentages
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Components:
Anode: pure metal being used to electroplate the
object
3+
Cathode: object being electroplated During electrolysis aluminum ( Al + 3e- → Al ) is
Electrolyte: aqueous solution of the soluble salt of 2-
produced at the carbon cathode and oxygen ( 2O - 4e-
pure metal (same as anode)
→ O2 ) at the carbon anode.
Used to: Due to the high temp. the oxygen reacts with the carbon
Prevent corrosion in the graphite anode to form CO2 and so anode has to
Enhance appearance
be periodically replaced
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-
Hydrogen cations reduced to H2
Cl ions; Chlorine gas Unreacted ions (Na+, H+ and OH-) move through porous membrane due
molecules
Example:
Left + -
Na and OH which form aqueous sodium hydroxide
The refining of copper: Impure copper as the anode and
pure copper as the cathode; the aqueous copper (II) 6. Chemical Energetics
sulfate helps the copper ions move from the anode to the
cathode. Here the ions gain electrons and become copper
6.1. Energetics of a Reaction
atoms, making the pure copper cathode thicker.
2+
1. Reaction at Anode: Cu – 2e Cu (mass decreases) Chemical reactions involve a transfer of energy between the
2+ system (the chemical reaction) and its surroundings.
2. Reaction at Cathode: Cu + 2e Cu (mass
increases) Exothermic reaction Endothermic reaction
Heat energy is released into Heat energy is absorbed from
the surroundings the surroundings
Bond making reactions Bond breaking reactions
Surrounding temperature Surrounding temperature
increases decreases
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6.5. Hydrogen
Produced by reacting methane gas with steam
Used in fuel cells and rockets
Advantages Disadvantages
Difficult to transport as it is a
Releases a lot of energy
6.3. Bond Energy gas at room temperature
Forms explosive mixture with
This is the amount of energy required or released when a Does not produce air when stored under
bond is formed or broken respectively. The unit measure pollutants pressure
of this energy is kJ/mol. Is expensive to produce
Renewable and abundant
The energy change in a reaction is calculated using the (requires a lot of energy)
following formula:
Reaction at anode:
Example 2H2 → 4H+ + 4e-
H2 + Cl2 ⟶ 2HCl Reaction at cathode:
Bond Bond energy (kj/mol) 4H+ + O2 + 4e- → 2H2 O
H-H 436
Cl - Cl 243 The flow of the electrons, through the electric circuit, from
the cathode to the anode generates a current. This cell is
used to drive electric motors in the automotive industry.
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3
Unit = (mol/dm )/s
7.3. Concentration
Increasing concentration of reactants increases rate of reaction
7.Chemical Reactions
Physical change Chemical change
Reaction is easily reversible Reaction is harder to reverse
Product has no new chemical Chemical product has
properties different properties
Ex. dissolving solute in a Energy change
solvent [exothermic/endothermic] 7.5. Particle Size
Decreasing the particle size increases the rate of reaction
7.2.Rates of Reaction
Decreasing particle size increases surface area; more
Collision Theory reactant particles exposed to collide so the successful
Successful collisions have enough activation energy at collision rate increases. This results in an increased rate
moment of impact to break pre-existing bonds and form new of reaction
bonds
Rates of reaction
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Explosive combustion
Enzymes are biological catalysts which speed up
Fine particles are combustible in air due to larger surface reactions but remain chemically unchanged at the end
area Enzymes function best at optimum temperature and pH
The rate of reaction is high making them explosive level otherwise they may denature and completely stop
Examples: methane gas in coal mines and flour milling functioning
If a gas evolves,
measure loss in
If a gas evolves, mass \n per unit
measure volume of time by placing on If a colour change ,
gas produced per a balance then measure the time
unit time using a putting \n a cotton taken to turn
gas syringe wool on top to cloudy
allow gas to pass
but not
to enter
7.7. Catalyst
7.9. Photochemistry
A catalyst is a substance (usually a transition metal)
which speeds up a chemical reaction, but remains A photochemical reaction is one where light causes a
unchanged at the end reaction to occur. The higher the light intensity the higher
Adding a catalyst increases the rate of reaction the rate of the reaction.
A catalyst allows the reaction to go by an alternative
pathway with lower activation energy 1. Photosynthesis: light provides energy for the
More particles will have an energy greater than or equal reaction and chlorophyll is a dye that absorbs light.
to the activation energy, therefore successful collision
rate increases resulting in increased rate of reaction carbon dioxide + water → (light + chlorophyll) → glucose +
For gaseous reactants, if catalyst is solid metal, the oxygen
catalyst provides a surface for reaction to take place on 6CO2 + 6H2O → (light + chlorophyll) →
C6H12O6 + 6O2
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Method B: Titration
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Halide ions:
Chemical Properties Physical Properties
Add nitric acid, then aqueous silver nitrate
Readily react with oxygen and Good conductors of heat and
- White precipitate
Chloride (Cl ) water; stored in oil electricity
- Cream precipitate
Bromide (Br ) React violently with chlorine Soft and easy to cut
- Yellow precipitate Burst into flames when
Iodide (I )
heated with oxygen[red
flame for lithium; yellow Shiny when freshly cut
- flame for sodium; lilac flame
Nitrate ions (NO3 ):
for
Add aqueous sodium hydroxide then add warm aluminum foil potassium]
Pungent gas produced, turns damp red litmus blue Produce soluble white Low melting and boiling
compounds. points
2-
Carbonate ions (CO3 ): compared to most metals.
Add dilute hydrochloric acid React with water to form
If bubbles/ gas produced turn limewater cloudy, carbonate alkaline metal and hydrogen Low densities for metals
ion present gas
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Properties Uses
Helium- filling balloons and
Density increases down the
aircrafts because it is lighter
group
than air and will not catch
fire.
Argon – filling (tungsten) light
Monoatomic and colorless bulbs to stop the filament
reacting with oxygen.
10.3. Reactivity Series
M.P. and B.P. increases Neon – is used in
down the group advertising signs because it
glows red. Note: Aluminum- despite its high placement in the
Don’t conduct electricity reactivity series- is seemingly unreactive due to its
Inert due to full outer protective aluminum oxide layer
shell electrons
General Reactivity series (descending order
Chemical
of reactivity)
reactivity of metals
10.Metals
10.1. Properties of Metals
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Pollutant Source Negative impact 3. Potassium for making proteins and to resist diseases.
Damages brain and
Lead Combustion of Reaction with any alkali substance (except ammonia)
nerve cells in young
Compounds leaded fuels displaces ammonia from its compound, for example:
children Calcium hydroxide + ammonium chloride→ Calcium
chloride
+ Ammonia + Water
11.6. Fractional Distillation of Air
1. Air is filtered for dust 11.10. Greenhouse Gases
2. Cooled to -80℃ to remove CO2 and water vapour
Greenhouse gases: Methane and Carbon Dioxide
(because they would freeze and block the pipes)
Trap heat inside Earth’s atmosphere, increasing it’s
using absorbent filters.
average temperature. Leads to climate change
3. Remaining air is cooled to liquify at -200℃. The
Causes global warming, melting of polar-caps, rising sea
Noble gases are still in the gaseous state and are
levels, floods and droughts
removed.
4. The (liquid) air, consisting of NO2 and O2, is pumped
into the fractional column where it is slowly 11.11. Formation of Carbon Dioxide
warmed. The remaining components rise and
condense in different fractions due to different Respiration
boiling points and are collected. Reaction between an acid and a carbonate
Complete combustion of a carbon containing substance
Sources of methane: oil and natural gas, decomposition of Thermal decomposition of limestone
vegetation, and waste gases from digestion in animals
Preventing oxidation
1. Coating iron with barriers that prevent contact
with air or H2O
Plastic, paint and grease
Electroplating with tin or chromium
Galvanizing: dipping in molten zinc
1. Sacrificial protection- attaching a block of more
reactive metal, normally zinc or magnesium, to the
iron body which corrodes in its place.
11.9. Fertilizer
Artificial fertilizers contain NPK:
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12.2. Uses
Manufacture of lime (Calcium oxide)
1. Obtained from the thermal decomposition of
Sulfur Sulfur Dioxide
limestone in a lime kiln
As a bleach for wood pulp in
Rubber vulcanization 2. CaCO3 + heat → CaO + CO2
the manufacture of paper
3. Slaked lime (Calcium Hydroxide): small amounts
In car batteries as an Food preservative; kills of water is slowly added to lime
electrolyte bacteria CaO + H2O → Ca(OH)2
Manufacture of sulphuric Metal and ore refining Uses:
acid (reducing agent)
( Contact Process) Lime Slaked lime
Neutralizing acidic industrial
12.3. Contact Process waste products, e.g. flue gas Neutralizing soil acidity levels
desulfurization
Essential conditions: Production of sugar from
Manufacture of steel
Catalyst- Vanadium (V) oxide sugar cane
Temperature- 450°C
Pressure- 2atm Uses of Limestone:
Uses:
Concentrated Diluted
14.2. Fuels
Used in phosphate fertilizers Cleaning metal surfaces
Common fossil fuels include: coal, natural gas [main
Production of paints and Catalyst in organic reactions constituent: methane] and petroleum
dyes
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(n=1) Ethene:C2H4 (n=2)
14.3. Alkanes
Alkanes are saturated hydrocarbons [single carbon bonds]
that are generally unreactive however they do undergo
combustion reactions
General formula = CnH2n+2
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Methanol:CH3OH(n=1) Ethanol:C2H5OH(n=2)
Methods of production:
Fermentation (only for
Hydration of Ethane
ethanol) Ethanoic acid:
The ethene reacts with steam Weak acid with high pH and low dissociation
-Yeast added to dissolved (reversibly) to form ethanol Formed by:
glucose. Products: ethanol, in the following Oxidation of ethanol
carbon dioxide and heat- conditions:570°C60- With acidified potassium mangenate (VII)
Temperature between 25-35 70atmCatalyst- phosphoric
°C for optimal enzyme acid[while low temp. gives
activity (dies after alcohol better yield, high temp. is Carboxylic acids react with alcohols (with an acid catalyst) to
concentration increases) used for faster rate of give esters, in a condensation reaction, for example:
reaction]
Ethanoic acid + ethanol ⇌ ethyl ethanoate + water
Slow reaction, produces (alcohol = -yl & carboxylic acid = -oate)
Fast reaction, produces pure
dilute solution that requires
ethanol. Continuous
processing. Can only be
produced in batches
production (no batches) 14.8. Polymers
Produces greenhouse gas
No greenhouse pollutants Large molecules built up from small units known as
(CO2
monomers.
Uses non-renewable
Uses renewable resources
resources (crude oil)
Uses of ethanol:
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Use Structure
Plastic bags and
gloves, clingfilm
(low density), mugs, 2. Terylene [polyester] made from a dicarboxylic acid
Polythene monomer and diols (alcohol with an -OH
bowls, chairs,
dustbins (high functional group). Forms ester linkage.
density)
Water pipes,
Polychloroethane wellingtons, hoses,
(PVC) covering for
electricity cables 14.10. Pollution from Plastics
Choke birds, fish and other animals that try to eat them.
Polypropene Crates, ropes
They clog up drains and sewers and cause flooding.
They collect in rivers, and get in the way of fish. Some
Used as expanded river beds now contain a thick layer of plastic
polystyrene in When incinerated, release greenhouse gases (like carbon
fast- food cartons, dioxide) that contribute to climate change.
Polystyrene
packaging, and
insulation for 14.11. Natural Polymers
roofs
and walls Proteins and carbohydrates as the main constituents of food.
Coated on frying
pans to make Proteins:
them non-stick,
Teflon Proteins contain the same linkages (amide links) as nylon,
fabric protector,
windscreen wipers, but with different units. Their structure is:
flooring
Condensation Polymerization:
The fermentation of fructose and glucose with yeast
When 2 different monomers are linked together with enzymes produces ethanol and carbon dioxide
the removal of a smaller molecule, usually water (forms
one H20 molecule per linkage).
In digestion, the hydrolysis (Decomposition of a chemical
1. Nylon [polyamide] is made from a dicarboxylic acid
compound by reaction with water) of starch happens in the
monomer and an amine monomer (compound
mouth by the enzyme amylase to make glucose
with an NH2 functional group). Forms amide
linkage. 1. Hydrolysis:
Starch → glucose
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1.Apparatus 2.Experiments
Reducing Copper(III) Oxide to Copper
2.2. Experiments
Showing that oxygen and water is needed for rusting iron
3.Rates of Reaction
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4.Energy in Alcohol
Find the amount of energy given when an alcohol is
burnt:
You need to know:
Mass of water
Change in mass of burner containing alcohol
Specific heat capacity of water
Temperature change of water
The molecular mass of the alcohol
Change in mass
= Number of moles burnt Change
Molecular
in temperature × Mass of water × SHC of
water = Energy
Energy
= Amount of energy per mole (J/mol)
Moles
3.2. Timing
Time how long it takes for the cross to disappear from
view
You can change the temperature and concentration of
acid used
5.Finding Concentration
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Crystallization
Some water in the solution is evaporated so solution
becomes more concentrated.
Solution is left to cool and crystallise.
Crystals are filtered to remove solvent.
7.Chromatography
Principle: Difference in solubility separates different
pigments
Drop substance to center of filter paper and allow it to
dry
Drop water on substance, one drop at a time
Paper + rings = chromatogram.
Stationary phase: material on which the separation takes
place
Mobile phase: mixture you want to separate, dissolved in
a solvent.
Interpreting simple chromatograms:
Number of rings/dots = number of substances
If two dots travel the same distance up the paper they
are the same substance.
You can calculate the Rf value to identify a substance,
given by the formula:
Rf Value Distance moved by solute
Distance moved by solvent
=
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9. Making Salts
Removes a liquid from a mixture of liquids, because Starting with an insoluble base:
liquids have different b.p.s
Mixture is heated to evaporate substance with lowest b.p. Add insoluble base to acid and heat gently, it will
some of the other liquid(s) will evaporate too. dissolve Keep adding until no more dissolves (reaction is
Beads are heated to boiling point of lowest substance, so done) Filter out the insoluble (excess) base
that substance being removed cannot condense on
beads. 9.2. Titration:
Other substances continue to condense and will drip
back into the flask Put a certain amount alkali in a flask and add
The beaker can be changed after every fraction. phenolphthalein
Add acid from a burette, stirring, until it goes colourless
Find out how much acid you used and repeat, to be more
accurate
Evaporate water from neutral solution
Precipitation:
Mix the two soluble salts, so they react together
Filter the mixture to separate the products produced
8.4. Separating mixture of two solids: (soluble and insoluble salt produced)
Wash the insoluble salt on the filter paper
Can be done by dissolving one in an appropriate solvent Dry the insoluble salt in a warm oven
Then filter one and extract other from solution by
evaporation
If one solid is magnetic, can use a magnet e.g. sand 10.Salts and Indicators
and iron
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2+ CaCO3(s) + HCl(aq)
Calcium (Ca CaCO ) White ppt.
3 (marble
No ppt.
CO2 Dilute HCl → CaCl2(aq) + H2O(l)
2+
chips) Light blue soluble
Copper (Cu ) Light blue ppt. + CO (g)
ppt. 2
2+
Manganese (IV)
Iron(II) (Fe ) Green ppt. Green ppt.
oxide 2HCL(aq) + [O] →
Cl2 3+ Conc. HCl
Iron(III) (Fe (as Red-brown ppt.
) an oxidising Red-brown
H2O(l) + ppt.
Cl2(g)
2+ agent)
White soluble ppt. White soluble ppt.
Zinc (Zn )
Zn(s) + HCL(aq) →
H2 Pieces of zinc Dilute HCl
ZnCl2(aq) + H2(g)
Manganese (IV)
Hydrogen 2H2O2(aq) → 2H2O(l)
O2 oxide
Anion Test peroxide + O2(g)
Test result
(as a catalyst)
Carbonate Limewater goes
2-
(CO ) Add dilute nitric acid
cloudy
14. Collecting Gases
3
- White ppt.
Chloride (Cl )
- Add nitric acid, then
Bromide (Br ) aqueous silver nitrate Cream ppt.
Downward Upward
- Yellow ppt. Gas
Iodide (I ) Method displacement displacement Over water
syringe
Add aqueous Gas produced turns of air of air
Nitrate
- sodium hydroxide damp red litmus Gas is To
(NO 3 ) Gas more Gas less
then add paper blue Use sparingly measure
aluminum dense than dense than
when... soluble in the
Add nitric acid, then air air
Sulphate water volume
2- add aqueous barium White ppt.
(SO )
nitrate
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Downward Upward
Gas
Method displacement displacement Over water
syringe
of air of air
Apparatus
Carbon-
dioxide,
Carbon
chlorine,
Ammonia, dioxide,
Examples sulphur Any gas
hydrogen hydrogen,
dioxide,
oxygen
hydrogen
chloride
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PHYSICS (0625)
SUMMARIZED NOTES ON THE THEORY SYLLABUS
CAIE IGCSE PHYSICS
TIME
ACCELERATION BY GRAVITY
Interval of time is measured using clocks or a stopwatch
SI unit for time is the second(s)
An object in free-fall near to the Earth has a constant
To find the amount of time it takes a pendulum to make a
acceleration caused by gravity due to the Earth’s uniform
spin, time ~25 circles and then divide by the same
gravitational field
number as the number of circles.
Objects are slowed down by air resistance. When
deceleration caused by air resistance = acceleration by
1.2. Motion gravity, i.e. no net force acting on a body in free fall, the
body reached terminal velocity
Speed is the distance an object moves in a time frame.
It is measured in meters/second (m/s) or
1.3. Mass and Weight
kilometers/hour (km/h).
Mass: A measure of matter in a body and the body’s
Total Distance
∴ Speed = Total Time resistance to motion.
Weight is the force of gravity on a body as a result of its
Speed is a scalar quantity as it only shows magnitude. mass.
Speed in a specified direction is velocity, which is a vector
Weight = Mass × G
1.4. Density
Mass (m)
Density (ρ) =
Volume (V)
Density of a liquid: Place measuring cylinder on balance.
Area under the line equals to the distance travelled
Add liquid. Reading on measuring cylinder = V, change in
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F = kx
1.5. Forces
Force is measured in Newtons
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distance from P ivot (m) A parallelogram has to be made with the acting forces
(F1 and F2). The resultant force will be the diagonal.
Therefore, increasing force or distance from the pivot
increases the moment of a force Make sure the same scale is used to convert between
This explains why levers are force magnifiers length and forces. Measure length of diagonal and use
scale to convert value into force (FR).
Turning a bolt is far easier with a wrench because the
perpendicular distance from pivot is massively
increased, and so is the turning effect. 1.9. Momentum
In equilibrium, clockwise moment = anticlockwise
moment there is no resultant force acting on the body. Momentum: product of mass and velocity
This can be proven by hanging masses of the same
weight on opposite sides of a meter rule on a pivot at p = mv
equal distances from the pivot showing that the meter
Principle of conservation of linear momentum: when
rule in stationary.
bodies in a system interact, total momentum remains
constant provided no external force acts on the system.
1.7. Centre of Mass
mAuA + mBuB = mAvA + mBvB
Centre of mass: imaginary point in a body where total
Impulse: product of force and time for which it acts
mass of body seems to be acting.
An object will be in stable equilibrium when it returns to
Ft = mv − mu
its original position given a small displacement.
For an object that is displaced, it will stabilize only if the
force caused by it’s weight is within it’s base. 1.10. Energy
Energy: amount of work and its measured in Joules (J)
An object may have energy due to its motion or its
position
Conservation of energy: energy cannot be created or
destroyed, when work is done, energy is changed from
one form to another.
Energy can be stored
G.P.E. = mgh
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BROWNIAN MOTION
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PV = constant
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Q = mc
IMPORTANT: The Q’s in both equations are NOT the same, however theIn
c’snon-metals
are. - when heat is supplied to something, its
atoms vibrate faster and pass on their vibrations to the
adjacent atoms.
In metals – conduction happens in the previous way and
2.6. Melting and Boiling in a quicker way –electrons are free to move, they travel
randomly in the metal and collide with atoms and pass on
Melting is when a solid turns into a liquid.
the vibrations Good conductors are used whenever heat
The temperature increases thus kinetic energy in solid
is required to travel quickly through something
increases and particles vibrate more rapidly.
Bad conductors (insulators) are used to reduce the
When melting starts there is no increase in temperature
amount of heat lost to the surroundings
of the substance because thermal energy supplied is
Convection is the flow of heat through a fluid from places
being used to break bonds between particles of the solid
of higher temperature in places of lower temperature by
thus making it into a liquid.
movement of the fluid itself.
The latent heat of fusion is the amount of energy needed
As a fluid (liquid or gas) warms up, the particles which are
to melt 1Kg of a substance
warmer become less dense and rise.
The melting point is the temp. at which a substance They then cool and fall back to the heat source, creating a
liquefy
cycle called convection current.
Boiling is when a liquid turns into a gas
As particles circulate they transfer energy to other
The temperature increases thus kinetic energy in liquid
particles. If a cooling object is above a fluid it will create
increases and particles vibrate more rapidly.
a convection current as well.
When boiling starts, there is no increase in temperature
of the substance because the thermal energy supplied is
being used to break bonds between particles of the liquid
thus making it into a gas.
The latent heat of vaporization is the amount of energy
needed to boil 1Kg of a substance
The boiling point is the temp. at which a substance boils
The difference between boiling and evaporation is that: Thermal radiation is mainly infra-red waves, but very hot
Boiling occurs at a fixed temperature and throughout objects also give out light waves. Infra-red radiation is
the liquid part of the electromagnetic spectrum.
Evaporation occurs at any temperature and only on
the surface
Condensation is when a gas turns back into a liquid.
When a gas is cooled, the particles lose energy. They
move more and more slowly. When they bump into each
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Laws of reflection:
Reflection:
Angle of incidence = angle of reflection
Waves bounce away from surface at same angle they
The incident ray, reflected ray and normal are always
strike it
on the same plane (side of mirror)
Angle of incidence = angle of reflection
Critical angle: an angle at which the r = 90 degrees, where
The incident ray, normal and reflected ray all lie on
the reflected ray bends at a 90 degree angle
the same plane.
Speed, wavelength and frequency are unchanged by If the angle of incidence is greater than the critical angle
there is no refracted ray, there is total internal
reflection
reflection. If the angle of incidence is less than the
critical angle the incidence ray will split into a refracted
ray and a weaker reflected ray.
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Virtual Image
Real Image
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4.3. Current
Current: a flow of charge, the SI unit is the Ampere (A).
An ammeter measures the current in a circuit and is
connected in series
Current is a rate of flow of charge.
In metals, current is caused by a flow of electrons
Charge (C )
Current (A) =
T ime (s)
+ve and -ve
I = Q/t
1e = 1.6 × 10−19 C
1C = 6.25 × 1018 e
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E
V= The combined resistance of 2 resistors in parallel is
C less than that of either resistor by itself and the
current in the two resistors in greater in the source
4.6. Resistance than in the individual resistors and is equal to the sum
of the currents in all the resistors connected in
parallel.
Resistance (Ω) = Voltage = V
Current I Advantages of putting lamps in parallel are:
If one lamp breaks, the other still works
Factors affecting resistance:
Each lamp gets maximum PD
In series: PD across the supply = PD across all the
Length
Ω∝L components combined
The electrons have to travel a longer length and In parallel: Current across the source = sum of currents in
thus encounter more resistance. the separate branches
Cross-sectional area
4.9. Circuit Diagrams
1
Ω∝
A
More electrons can flow per unit time, increasing the
current and therefore decreasing the resistance.
Material Cell
Better conductor = less resistance
Current Voltage Character of an Ohmic Resistor and a
Battery of cells Or
Filament Lamp:
Power supply
a.c. power supply
Junction of conductors
Lamp
Fixed resistor
Thermistor
Ohm’s law states that voltage across a resistor is directly Variable Resistor
proportional to the current through it. This is only true if
Light dependent resistor
the temperature of the resistor or lamp remains constant
Heater
Motor
4.8. Series and Parallel Circuits Generator
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Transformer
Diode
Fuse
Oscilloscope
Normally closed relay: when coil not energized, switch is
AND gate closed, completing circuit
OR gate
NAND gate
NOR gate
NOT gate
4.10. Action and Use of Normally open relay: when coil energized, switch is
closed, breaking circuit
Circuit Components
A potential divider divides the voltage into smaller parts.
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Circuit Breaker:
An automatic switch which if current rises over a
specified value, the electromagnet pulls the contacts
apart, breaking the circuit.
The reset button is to rest everything.
It works like a fuse but is better because it can be
reset.
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5.Atomic Physics
5.1. The Atom
Atoms consist of:
Nucleus: central part of atom made of protons
(positively charged) and neutrons. These two types of
particles are called nucleons. They are bound together
by the strong nuclear force.
Electrons: almost mass-less particles which orbit
nucleus in shells
2
This is proved by Rutherford’s Gold Foil Experiment
Proton number: number of protons in an atom
Nucleon number: the number of nucleons (protons
+ neutrons) in an atom
The following is the nuclide notation for atoms
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Alpha decay:
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PHYSICS (0625)
SUMMARIZED NOTES ON THE SYLLABUS
CAIE IGCSE PHYSICS
5.Refraction of Light
2.Specific Heat Capacity
Apparatus: Ray Box, Rectangular piece of glass, Plain
Apparatus: Solid block, Drill, Thermometer, Heater (of paper, Pencil.
known power), Cotton wool. Procedure:
Procedure: Place the Plain paper below the rectangular piece of
Drill two holes in the block. glass.
Measure the mass of the block. Project a ray towards the glass.
Place the heater in one of the blocks, the Make two points to mark the incident ray, two to mark
thermometer in the other. the refracted ray and two to mark the emergent ray.
Use cotton wool to properly insulate/lag the block. Join all the lines, measure the angles and calculate
Note the initial temperature of block and turn on refractive index.
heater for xseconds Repeat with different angles; Snell's law shown.
Calculate Heat Energy Supplied by heater using
formula Q=Pt.
Note the final temperature of block. 6. Resistance
Q
Specific heat capacity = .
m× and
3.Cooling Rate of Water Temperature
Apparatus: Heater, Thermometer, Beaker, Stopwatch, Apparatus: Resistor, Battery, Connecting wires, Ammeter,
Beaker containing Water. Voltmeter, Oven.
Procedure: Procedure:
Place heater into beaker and turn it on to raise the Make a circuit with the battery, connecting wires,
temperature of water to 60°C ammeter and voltmeter, resistor.
Stir the contents of the water and place Measure the resistance of the resistor using the
thermometer into the beaker. formula R=V/I.
Note the starting temperature and turn on the Heat the resistor in the oven. Place the resistor back
stopwatch. into the circuit.
Take readings of the thermometer and stopwatch at Measure the readings again and calculate R=V/I.
regular intervals (e.g. 60 sec). Draw up a conclusion about how the resistance
Draw up a table and plot a graph to conclude increases as temperature increases.
your experiment.
7.Speed of Sound
4.Picking a Better Insulator
Apparatus: Two observers, Gun, Stopwatch.
Procedure:
Two observers are set apart at a known
distance. One observer has the gun, the other
has the stopwatch.
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Thickness of pins
Drawing graphs:
Thickness of mirror
Label axis
Protractor is not
Choose a proper scale
precise
Well-judged best fit line
Inaccuracy of ray box method: thickness of rays.
Thin and neat lines
Inaccuracy of pin method: pins not straight, or too close,
Measuring the gradient:
or thickness of lines drawn.
Draw a triangle on graph
Measuring 10 oscillations rather than 1:
Use clear lines
Reduce human errors
Triangle must be larger than half the line
Give more accurate value of time taken (T)
For 2 values to be directly proportional, graph of the
Gives an average of T
values be a straight line from origin.
11. Graphs
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