EXAMINATION NO: ………………………………….
ST KELMON PRIVATE SECONDARY SCHOOL
2024 JCE MOCK EXAMINATION
MATHEMATICS
(100 Marks) Subject Number: j131
rd
Monday, 3 April Time allowed: 2 hours
8:00 - 10:00 AM
Instructions
1. This paper contains 9 printed pages please
check.
2. Answer all 21 questions Answer all questions.
3. Write your examination number on all the Question Tick if Do not write
number answered on these
pages. columns
4. The maximum number of marks for each 1
answer is indicated against each question. 2
5. Write your answers in the spaces provided for
3
each question.
6. Calculators may be used 4
7. All working must be clearly shown 5
8. Write your answer in the spaces provided for 6
each question. 7
8
In the table provided on this page tick against
the questions you have answered 9
10
11
12
13
14
15
16
17
18
19
20
21
Turnover
Page 1 of 9
EXAMINATION NO: ………………………………….
1. Factorise b2 + bd + bc + cd completely. (4 marks)
2. Simplify 2113 – 1033, giving the answer in base 10. (4 marks)
1 𝑎
3. Make r the subject of the formula 3 = 𝑏 −𝑥𝑟. (3 marks)
4. A customer uses 192 units of electricity in a month. If the electricity supply
company has a fixed charge of k350.00 per month and k14.50 per unit of
electricity, calculate the electricity bill for the customer (4 marks)
Page 2 of 9
EXAMINATION NO: ………………………………….
5. Solve the simultaneous equations x – 2y = 27, 7x + y= 9 (7 marks)
6. Triangles UVW and XYW are similar. If UW =6cm, UV = 9cm and XW = 3.6 cm,
calculate the length of XY. (4 marks)
7. The sum of interior angles of a regular polygon is 1980. Calculate the number of
sides of the polygon. (5 marks)
Page 3 of 9
EXAMINATION NO: ………………………………….
8. Solve the equation 𝑥 2 + 7x +10 = 0 (5 marks)
1
9. Simplify 2y0 − 273 . (4 marks)
10. Given that a = 2, b = -3 and p = 5. Evaluate 2p2 – 5ab (4 marks)
11. Use logarithms to evaluate 9.346 × 43.51, giving your answer correct to
1decimal place. (5 marks)
Page 4 of 9
EXAMINATION NO: ………………………………….
12. An insurance company charges a premium of k15 per k100 per annum of the sum
insured. If a house is insured for k250 000, find the premium charged per annum
. (3marks)
13. A box contains 10 red pens, 15 black pens and 5 green pens. Calculate the
probability of picking a red pen at random. (3 marks)
14. Expand and simplify (8 ─ x)2 (5 marks)
15. Two sets A and B are such that n (A) =12 , n(A n B ) = 4 and n( B ) = 10 . Use a
Venn diagram to find n (A u B). (5 marks)
Page 5 of 9
EXAMINATION NO: ………………………………….
16. Table below shows number of chickens kept by three farmers in Chilakalaka
village.
Farmer A B C
Number of chickens 150 100 50
Draw a pie chart to represent the information in the table. (5 marks)
17. Solve an inequality 2p – 17 < 5p – 2. (5 marks)
18. a. Copy and complete the table of values for y = 5 – x. (3 marks)
x 1 5
y 1
b. Taking a scale of 2centimetres to represent 1 unit on both axes, draw the graph of
y = 5 – x on the graph paper provided. (3 marks)
Page 6 of 9
EXAMINATION NO: ………………………………….
c. Use the graph to solve the equations y = 5 – x and y = 1 + x. (2 marks)
19.
In figure below AB, CD and EF are parallel to one another. Angle HIB = 1400 and
angle GEF =1100.
Calculate the angles labeled u and w. (7 marks)
20. Calculate the total surface area of the right pyramid in the figure below. (7
marks)
24 cm
D C
10 cm
Page 7 of 9
EXAMINATION NO: ………………………………….
A 14 cm B
21. Using a pair of compasses and a ruler only, construct in the same diagram :
a. A triangle PQR in which PQ =3 cm, QR = 5 cm and PR = 7 cm. (2 marks)
b. A point S which is equidistant from points P, Q and R. (2 marks)
Page 8 of 9
EXAMINATION NO: ………………………………….
END OF QUESTION PAPER
Page 9 of 9
