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S2M
KBTC International School
Examination and Evaluation Board
NAME
ROLL NUMBER
LEVEL
Secondary 2
BATCH NUMBER
Dual Batch 1
EXAM
Pre Mid-Year
MATHEMATICS
August 2023
25 Marks
45mins
READ THESE INSTRUCTIONS FIRST.
Write your answers in the space provided.
Write in dark blue and black pen.
You may use an HB pencil for any lines, diagrams
or graphs.
Do not use correction fluid.
100
ANSWER ALL QUESTIONS.
Score
This document consists of (5) pages.
Secondary 2
KBTC International School
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SECTION A (10 × 1 = 10 marks)
Questions 1 to 10 carry 1 mark each. Show your work clearly in the space below each question and
write your answers in the spaces provided.
1. Write the answer in index form.
𝟒𝟓 ÷ 𝟐𝟑
Answer: ______________________________
2. Complete the following factorization.
6x – 15 = 3(2x -
)
Answer: ______________________________
3. Write these decimal number in order size, starting with the smallest.
-11.525, -11.5.2, -11.125, -11.6
Answer: ______________________________
4. Write the expression for the given statement: "one-third of twice x add 12".
Answer: ______________________________
5. y is a number with three decimal places and -0.274 ≤ y < -0.27. Write the largest value of y.
Answer: ______________________________
6. The average mass of 6 pupils is 54.0196 kg. Express the mass of each pupil in two significant figures.
Answer: ______________________________
7. Simplify 4(2𝑥 + 3𝑥
2)
− 𝑥(6 + 𝑥)
Answer: ______________________________
8. The area of rectangle A is 2𝑎2 + 18a. If the width is 2a, find the length of the rectangle in simplest
form.
Answer: ______________________________
9. Calculate the size of angle of k.
Answer: ______________________________
Secondary 2
KBTC International School
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10. Find the value of e if c=48, d= 33.
Answer: ______________________________
SECTION B (5 × 3 = 15 marks)
Questions 11 to 15 carry 3 marks each. Show your working clearly in the space below each question. If
necessary, give your answers in the units stated.
11. (a) Aria thinks of a number. She multiplies it by 4 then subtract 1. The answer is the same as 3 times
the number plus 6. What number Aria think of?
(b) Write the inequality that the number line shows. List the possible integer values.
12. This is how a taxi company works out the cost of a journey for a customer. There is a fixed charge of
$6 plus $2 per kilometer.
(a) Write a formula for the cost of a journey, in
i. Words
ii. Letters
(b) Use your formula to work out the cost of journey of 4.5 km.
Secondary 2
KBTC International School
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13. (a)Work out the size of angles x and y in the diagram.
(b) Work out the missing number in this calculation.
𝟑𝟐×(𝟎.𝟖−
𝟎.𝟎𝟐
Secondary 2
)
= 800
KBTC International School
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14. The diagram shows the sizes of the two equal angles in an isosceles triangle.
(a) Write an equation to represent the problem.
(b) Solve your equation to find the value of x.
(c) Work out the size of each of the angles in the triangle.
15. Show that x + y = 270 ˚.
x
Secondary 2
y
KBTC International School