2023 SUPER MOCK CORE/GENERAL MATHEMATICS 1

PAPER 1 1 hour 30 minutes

[50 marks]

Answer all the questions.

Each question is followed by four options lettered A to D. Find out the correct option for each
question and shade in pencil on your answer sheet, the answer space which bears the same letter as
the option you have chosen. Give only one answer to each question.

Think carefully before you shade the correct space; erase completely any answer(s) you wish to
change. Do all rough work on this question paper. Now answer the following questions.
. × .
1. Evaluate, correct to three decimal places,
.
A. 0.361
B. 0.036
C. 0.037
D. 0.004
2. There are 30 students in a class, 15 study woodwork and 13 study metalwork, 6 study neither
of the two subjects. How many students study woodwork but not metalwork?
A. 5
B. 9
C. 11
D. 13
3. Solve log + log ( − 8) = 2
A. 6
B. 7
C. 8
D. 9
4. What is the sum of the interior angles of a regular polygon with 12 sides?
A. 720
B. 1260
C. 1440
D. 1800
5. Find the roots of the quadratic equation: 3 − 2m – 65 = 0
A. , 5
B. − , −5
C. − , 5
D. , −5
6. A distance of 36km on the ground is represented by a line of 1.8cm on a map. What is the
scale of the map?
A. 1: 2,000
B. 1: 20,000
C. 1:200,000
D. 1: 2,000,000
7. Simplify
A. +
B. − +
C. −
D. − −

40°

NOT DRAWN TO SCALE

8. Find the value of m in the diagram above.
A. 140°
B. 130°
C. 50°
D. 40°
9. The ages of a father and son are 10x years and xyears respectively. In 32 years, time, the ratio
of their ages will be 2: 1. Find the sum of their ages.
A. 72years
B. 64years
C. 44years
D. 34years
10. Factorise − 8 + 15
A. ( − 5)( − 3)
B. ( + 5)( − 3)
C. ( − 5)( + 3)
D. ( + 5)( + 3)
11. Simplify (2 − 4) − (2 − 1)
A. − − 3
B. − − 1
C. −1
D. − + 1
12. Find the truth set of the inequality; 3 + 8 < 5 − 8.
A. { : < 6}
B. { : > 8}
C. { : < 2}
D. { : > 6}
13. The diagram below shows a triangle inscribed in a circle of centre o.
If < LNM = (x + 15)° and < NLM = (x – 5)°, find the value of x.

A. 35°
B. 40°
C. 45°
D. 50°
14. Simplify 2 – 3 ÷ 2 of 3
A.
B.
C.
D.
15. Simplify: −
A.
B. −
C.
D.
16. Find the zeros of the function: ( ) = .
A. −8
B. 8
C. 2
D. −6
17. A binary operation ∆ = + − 2 is defined on the set of real number R, find 2 ∆ − 1.
A. −1
B. −2
C. 1
D. 3
18. If = , determine the value of that makes the function undefined.
A. −
B. −2
C. −3
D. 4
19. Which of the following numbers is the smallest? 0.569, , √6, 50%
A. 50%
B. √6,
C. 0.569
D.
20. By how much is the sum of 3 , (2 − 6), 4 (−4 − 2) ℎ 25 ?
A. 5 + 8
B. 20 + 8
C. 20 − 8
D. −20 + 8
21. The exterior angle of a regular pentagon is 70°. Find the sum of its interior angles.
A. 170°
B. 270°
C. 370°
D. 550°
22. Make the subject of the relation √ =
A. =
B. =
C. =
D. =√
23. The marks of eight students in a Maths test are: 10, 4, 5, 14, 13, 16, and 7. Find the range.
A. 16
B. 14
C. 13
D. 12
24. Which of the following are parallelogram? I. Rectangle II. Rhombus III. Square
A. I and II
B. I and III
C. II and III
D. I, II and III
25. What is the next number in the sequence , , , , … ?
A. 22
B. 24
C. 26
D. 36
26. Find the mean of the numbers; , , , .
A. 23
B. 24
C. 25
D. 26
27. In the diagram below, O is the centre QRS and < SQR = 28°. Find <ORS
P

28°
O

S R

A. 76°
B. 62°
C. 56°
D. 28°
28. A chord of length 8cm is at the distance of 3cm from the centre of a circle. Find the radius of
the circle.
A. 8cm
B. 7cm
C. 6cm
D. 5cm
29. The base of a parallelogram is twice its perpendicular height. If the area is 128 , calculate
the length of the base.
A. 32cm
B. 24cm
C. 16cm
D. 8cm
30. Each exterior angle of the polygon is 30°. Calculate the sum of the interior angles.
A. 540°
B. 720°
C. 1080°
D. 1800°
31. If two times a number is multiply by 4 the result is 64, find the number.
A. 4
B. 6
C. 8
D. 12
32. Solve 12 + = 9.
A. – 3
B. – 2
C. 2
D. 3
33. Find the mode from the following set of numbers: 3, 4, 9, 5, 3, 4, 3,7, 8, 3, 9 and 12.
A. 3
B. 7
C. 9
D. 12
34. The mean of the numbers 5, 2y, 4 and 3 is 5. Find the value of y.
A. 8
B. 5
C. 4
D. 3
35. The mean of the numbers 15, 21,17,26,18 and 29 is 21. Calculate the standard deviation.
A. 2
B. 5
C. 6
D. 9

The following are scores obtained by some students in a test:

8 18 10 14 18 11 13
14 13 17 15 8 16 13
Use this information to answer questions 35 and 36
36. Find the median score.
A. 13.0
B. 13.5
C. 14.0
D. 14.5
37. How many score above the mean score?
A. 7
B. 8
C. 9
D. 10

The sets P= {1,2,4,5,7} and Q= {3,4,7,8} are subsets of the universal set
U= {1,2,3 … .9,10}
Use this information to answer questions 38 to 40.
38. Find
A. {3, 6, 8}
B. {3, 6,7, 8}
C. {3, 6, 8,9,10}
D. {3, 6,7,8,9,10}
39. Find ∩
A. {6, ,9,10}
B. {6,10}
C. {4, 7}
D. {1, 2, 3}
40. Find
A. {1,2,3,4,5,6,7,8,9,1}
B. {∅}
C. {}
D. {0}
41. Find ( )
A. 4
B. 5.
C. 7
D. 8
42. The first term of Geometric Progression (GP) is 3 and the 5th term is 48. Find the common ratio.
A. 2
B. 4
C. 8
D. 16
43. Find the sum of the interior angles of a pentagon.
A. 550
B. 540
C. 350
D. 340
44. Find the quadratic equation whose roots are − .
A. 6 − −1=0
B. 3 − −1=0
C. 6 + −1=0
D. 3 + +1=0
45. Express 758873 to three significant figures.
A. 7599
B. 759
C. 75900
D. 759000
46. Simplify:
A. −
B. +
C. 2 − 2
D. −2
47. Factorize: 7−6 −
A. ( − 7)(1 − )
B. ( − 1)( − 7)
C. ( + 7)(1 − )
D. ( − 1)( + 7)
48. Expand: ( − √2 )( + √2 )
A. − 2√2 − 2
B. + 2√2 − 2
C. − √2
D. −2
49. Kussi, Vivian and Rita shared 120 oranges in the ratio 2:3:5. By how much is the least share less than
the greatest?
A. 48
B. 36
C. 30
D. 24
50. An athlete runs 100 metres in 10 seconds. Find his speed in kilometres per hour.
A. 36 km/h
B. 30 km/h
C. 18 km/h
D. 12 km/h

END OF PAPER