SBHS 2011 Yr 9 HY
SBHS 2011 Yr 9 HY
SBHS 2011 Yr 9 HY
M O O R E PA R K , S U R RY H I L L S
Year 9
Half Yearly Examination 2011
Advanced Mathematics
General Instructions
Examiner: B. Kilmore
NAME:
Class
9A
9B
9C
9D
9E
9F
9G
Teacher
Mr Fuller
Ms Evans
Ms Nesbitt
Mr Elliott
Ms Ward
Mr Boros
Mr McQuillan
Question
1
2
3
4
5
6
7
Total
Mark
/10
/10
/10
/12
/13
/12
/13
/80
Section 1 - 10 Marks
Number
1. By writing each fraction as a decimal determine which fraction is bigger,
11
13
or
15
17
(1)
2. Calculate 32
(1)
(1)
4. Two partners invest $1000 and $1700 in a business. How should a profit of $567 be
(2)
5. The ratio of profit to selling price of an article is 1:5. What is the profit if the cost
price is $2.40?
(2)
(2)
(1)
a) 9.005
b) 0.00538
Section 2 10 Marks
Working Mathematically
8. Natalie guessed the number of jellybeans in a jar but guessed 24 too many. Her friend,
Harriet, guessed 16 too few. The average of their guesses is 192. How many jellybeans are
there in the jar?
(3)
1
2
9. Jason used 48 L of water to wash his car over 1 hours. How much water would he
1
have used if it took him 2 hours to wash the car assuming that the water was used at
2
the same rate?
(2)
10. It takes 3 people 3 hours (working at the same rate) to clean up after a party.
a) How long would it take one person to clean up after the same party if they also
worked at the same rate?
(1)
b) If one of the original three people worked at half the rate of the other two, how
long would the same three people take to cleanup?
(2)
11. A colour TV costs a store $675. They apply a 45% mark-up, but later offer it as a special,
with 20% off. What is the stores actual profit?
(2)
Section 3 10 Marks
Working Mathematically -3m
12. Lando bought 7 tonnes of pumpkins at $75 per tonne. He sold 5 tonnes at $94.50 per tonne.
At what price must he sell the remaining pumpkins to make an overall profit of 22%?
(3)
Algebra 7m
13. If Michael is 14 years old, how old will he be in y years?
(1)
2
14. Given t = 3 , calculate h when h= 40t - 5t
(1)
(5)
a) 3(2a 7) 4a
b) 4( p 3) 2 p (1 p )
c) (4c 3d )(4c 3d )
d) (2 x 3)( x 1)
e) ( x 3) 2
Section 4 12 Marks
Algebra
16. Simplify the following:
a)
5a 4a
3
7
b)
2 x 1 3x 2
4
3
c)
5 25
3a a
(6)
17. Find a simplified expression which would calculate the shaded area of this diagram:
4a + 2
2a + 2
a+1
3a + 1
(3)
Section 5 13 Marks
Probability
19. A jar contains identical balls numbered 1 to 10. If one ball is drawn out at
random, what is the probability that:
a) The number is even?
(1)
(1)
( 1)
21. The instructions for workers preparing boxes of 100 Sydney High Surprise gift
chocolates are:
Exactly 30 chocolates must contain vanilla flavouring;
Exactly 40 chocolates must have soft centres;
55 chocolates must be either vanilla-flavoured or soft-centred or both
Calculate the probability that a randomly chosen chocolate from the 100 in the box is
both vanilla-flavoured and soft-centred.
(3)
22. Of a group of 50 people, 32 play tennis, some play golf, 10 play no sport, 18 play both
tennis and golf.
a) Draw a Venn Diagram showing this information.
(2)
b) If one of these people is selected at random, find the probability that they play
golf.
(1)
23. Twenty people are trapped in a lift: 8 have blue eyes and 9 have brown eyes; 5 have
blonde hair and 7 have black hair; 1 person has red hair and the rest are brunettes.
The red-haired person has green eyes; there are 2 blue-eyed blondes and 2 hazel-eyed
brunettes. 3 black-haired people have blue eyes.
One person is chosen at random to climb up the shaft to get help. What is the
probability it is someone with:
a) Brown eyes and black hair?
b) Brown eyes and brunette hair?
(4)
(1)
(3)
10
(1)
(2)
(2)
.......
a)
ABCC
b)
........
Reasson: ..........
........
Reason: ..........
11
(3)
CD is a quadrilateral. C
Choose from
m the list below, circlinng the name that
b) ABC
bestt describes ABCD
A
and give a reaso
on for your answer.
(1)
Squuare
Rhombuus
Rectanglee
Reason:
12
m
Trapezium
(3)
(4)
13
14
15