121/1 KCSE 2024 SUPPER PREDICTION

Kenya Certificate of Secondary Education

-MATHEMATICS- Paper 1
ALT A
Nov. 2024 - 2 1/2 hours
Name……………………………………………. Index Number……………………………….

Candidate’s Signature……………………………Date………………………………………….

Instructions to the Candidates

a) Write your name and index number in the spaces above.
b) Sign and write the date of examination in the spaces provided above.
c) Answer all the questions in this question paper.
d) These paper consist of two sections; Section I and Section II
e) Show all the steps in your calculations, giving your answers at each stage in the spaces provided below each
question.
f) Marks may be given for correct working even if the answer is wrong.
g) Non-programmable silent electronic calculators and KNEC Mathematical tables may be used, except where stated
otherwise.
h) This paper consist of 17 printed pages.
i) Candidates should check the question paper to ascertain that all the pages are printed as indicated and that
no questions are missing.
j) Candidates should answer the questions in English.

EXAMINER’S USE ONLY

Section I
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 TOTAL

Section II
17 18 19 20 21 22 23 24 25 TOTAL
Grand Total

© 2024 KCSE Supper Prediction

Disclaimer: This is Sample exam. Its only ment for preparations and
revision purposes only.
For MAEKING SCHEMES 0791801250
email: kexamscentre@gmail.com.
 SECTION I (50 MARKS)
Answer all questions in this Section

1. Evaluate : (3 marks)

1 1 25 3
of 2 +  − 
9 3 33 2
2 1 1
of 3 
5 3 3

2. Simplify completely (3mks)

12𝑥 2 −11𝑥𝑦+2𝑦 2
18𝑥 3 −8𝑥𝑦 2

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3. Use the exchange rates below to answer this question.

Buying Selling

1 US dollar 63.00 63.20

1 UK £ 125.30 125.95

A tourist arriving in Kenya from Britain had 9600 UK Sterling pounds (£). He converted the pounds to
Kenya shillings at a commission of 5%. While in Kenya, he spent ¾ of this money. He changed the
balance to US dollars after his stay. If he was not charged any commission for this last transaction,
calculate to the nearest US dollars, the amount he received.
(3mks)

4. Solve for x in the following equation. (3mks)

4x (8x - 1) = tan 45o

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5. The sum of interior angles of two regular polygons of sides; n and n + 2 are in the ratio 3:4. Calculate the sum
of the interior angles of the polygon with n sides. (3mks)

6. Use logarithms to evaluate the following correct to 4 decimal places.

2 1.764 −2  0.324
4 (3mks)
5.42

7. Find the region defined by the following inequalities (3mks)

2y < x + 4; 4y ≥ -x – 4; x ≤ 2

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8. Find the equation of locus of points equidistant from A (6, 5) and B (-2, 3) (3mks)

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9. The GCD three numbers is 6 and their LCM is 900. If two of the numbers are 36 and 60, find the least
possible third number. (3mks)

10. Use the tables of squares, cube roots and reciprocals to evaluate
(3mks)
3
√0.008 10
−
0.375 37.52

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11. Solve the following pair of simultaneous equations using substitution method (3mks)
4𝑏 + 3𝑡 − 475 = 0
5𝑡 + 2𝑏 = 325

12. Given that Sin  = 4/5 and  is an acute angle, find without using tables or calculators
(a) Tan (2mks)

(b) Cos (180 - ) (1mk)

13. The figure below is a triangular prism of uniform cross-section in which AF = FB =3cm,

AB = 4cm and BC = 5cm. Draw a clearly labeled net of the prism. (3mks)

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14. The mass of two similar cans is 960g and 15000g. If the total surface area of the smaller can is 144cm2,
determine the surface area of the larger can. (3mks)

15. In the circle O is the centre, angle DAB = 870 Arc AB is twice arc AD.TD is a tangent to the circle at D.
Giving reasons, Calculate
(i) Angle AOB. (2mks)

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 (ii) Angle ADT (2mks)

16. A sector of a circle of radius 42cm subtends an angle of 1200 at the centre of the circle. The sector
is folded into an inverted right cone. Calculate

(i) The base radius of the cone (3mks)

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 (ii) To one decimal place the vertical height of the cone (1mk)

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 SECTION II: 50 MARKS
Answer any FIVE questions in this section

17. A bus and a Nissan left Nairobi for Eldoret, a distance of 340 km at 7.00 a.m. The bus
travelled at 100km/h while the Nissan travelled at 120km/h. After 30 minutes, the Nissan
had a puncture which took 30 minutes to mend
(a) Find how far from Nairobi the Nissan caught up with the bus (5marks)

(b) At what time of the day did the Nissan catch up with the bus? (2marks)

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 (c) Find the time at which the bus reached Eldoret (3marks)

18. In the diagram below OA = a, OB = b the points P and Q are such that AP = 2/3 AB, OQ = 1/3 OA
A

Q P

O B

(a) Express OP and BQ in terms of a and b (2 mks)

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 (b) If OC = hOP and BC = kBQ, Express OC in two different way and hence

(i) Deduce the value of h and k. (5 mks)

(ii) Express vector OC in terms of a and b only. (2 marks)

(iii) State the ratio in which C divides BQ (1 mk)

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 19. The table alongside shows the marks scored in a Chemistry test.

(a) Calculate the mean mark (3mks)

Marks Frequency
5 – 14 3
15 – 34 19
35 – 54 50
55 – 84 26
85 – 94 2

(b) Draw a histogram to represent the above information (4mks)

(c) Using the histogram, find the median mark (3mks)

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20. Given the quadratic function y = 3x2 + 4x - 2
a) Complete the table below for values of x ranging - 4 < x < 3. (2mks)

x -4 -3 -2 -1 0 1 2 3
y
b) Using the grid provided draw the graph of y = 3x2 + 4x – 2 for -4 < x < 3 (3mks)

c) Using the graph, find the solution to the equations.

i) 3x2 + 4x – 2 = 0 (2mks)

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 ii) 3x2 + 7x + 2 = 0 (3mks)

21. A triangle ABC has vertices A(2,1), B(5,2) and C(0,4).

(a) On the grid provided plot the triangle ABC. (2 mks)

2
(b) A1B1C1 is the image of ABC under a translation ( ). Plot A1B1C1 and state its coordinates.(2mks)
−5

(c) Plot A11B11C11 the image of A1B1C1 after a rotation about the origin through a negative quarter turn. State its
coordinates. (3 mks)

(d)A111B111C111 is the image of A11B11C11 after a reflection on the line y = 0.

Plot A111B111C111 and state its coordinates. (3 mks)

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22. Two bus stations P and Q are such that Q is 500km due East of P. Two buses M and N
Leave from P and Q respectively at the same time. Bus M moves at 360km/h on a bearing of
N 300E. Bus N moves at a speed of 240km/h on a bearing of N450W. The two buses stop after 1
½ hrs.
1
Using a scale of 7
10
a) Show the relative positions of the buses after 1 ½ hrs. (6mks)

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 (b) Find the distance between the buses after 1 ½ hrs. (2mks)

(c) Find the true bearing of;

i) M from N

ii) N from M after 1 ½ hrs. (2mks)

23. The diagram below represents square based pyramid standing vertically. AB = 12cm, PQ = 4cm and the
height of pyramid PQSV is 10cm.

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 V

(a) If PQRSV is a solid, find the volume of material used to make it. (2mks)

(b) Find the

(i) height of the frustrum ABCDPQRS (2mks)

(ii) Volume of the frustrum (3mks)

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 (c) The liquid from a hemisphere is poured into PQRS. Find radius correct to 4 significant figures of the
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hemisphere if the liquid from hemisphere filled the solid completely.𝑈𝑠𝑒 𝜋 = 7
(3mks)

24. The displacement h metres of a particle moving along a straight line after t seconds
is given by h = -2t3 + 3/2 t2 + 3t

(a) Find the initial acceleration. (3mks)

(b) Calculate

(i) The time when the particle was momentarily at rest. (3mks)

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 (ii) Its displacement by the time it comes to rest momentarily. (2mks)

(c ) Calculate the maximum speed attained. (2mks)

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 Disclaimer: This is Sample exam. Its only ment for
preparations and revision purposes only.
For Answers contact us on 0791801250 or email:
kusomaplex@gmail.com. Website: kusomaplex.co.ke

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