ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER
Q1. a) Evaluate 0.2 × 0.6 .
Answer ……………………………. [1]
72
b) Express as a fraction in its lowest terms.
108
Answer ……………………………. [1]
4 5
c) Evaluate × , giving your answer in its simplest form .
3 8
Answer ……………………………. [1]
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Q2. a) Write the number 0.00024 in standard form.
Answer ……………………………. [1]
b) Giving your answer in standard form, evaluate (6 × 107 ) + (5 × 106 ).
Answer ……………………………. [2]
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Q3. The temperatures, in °C, at midnight on 10 consecutive days were
4, 1, 0, –2, –1, –3, 1, –2, 3, –1.
a) Find the difference between the highest and the lowest temperature.
Answer ……………………………. [1]
b) How many of these temperatures are within 2.5 °C of 1 °C?
Answer ……………………………. [1]
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Q3. It is given that 𝑓(𝑥) = 3𝑥 − 5.
Find
a) 𝑓(−4)
b) 𝑓 −1 (𝑥)
Answer a) ……………………………. [1]
Answer b) ……………………………. [2]
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Q4. a) Express 0.047852 correct to two decimal places.
Answer ……………………………. [1]
b) Express, correct two significant figures,
i) 15 823. 762,
Answer ……………………………. [1]
ii) 0.003048 9
Answer ……………………………. [1]
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Q5. a) A journey started at 07 44 and finished at 11 32. How long, in hours and minutes, did the
journey take?
Answer …….…… hours …………… minutes [1]
b) The time difference between Brunei and London is 7 hours. So, when it is 19 00 in
Brunei, it is 12 00 in London. When it is 03 30 in Brunei, what time is it in London?
Answer ……………………………. [2]
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Q6. a) Factorize completely,
i) 5𝑎2 − 20.
Answer ……………………………. [2]
ii) 2𝑦 2 − 3𝑦 − 2
Answer ……………………………. [2]
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iii) 5𝑥 2 − 10𝑥.
Answer ……………………………. [1]
b) Solve 3𝑦 + 6 = 7𝑦 − 10.
Answer ……………………………. [2]
c) Solve 3𝑝(𝑝 + 2) = 0
Answer ……………………………. [2]
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Q7. 𝑦 is directly proportional to the square of 𝑥.
Given that 𝑦 = 2 when 𝑥 = 4. Find
a) The formula for 𝑦 in terms of 𝑥.
Answer a) y = ……………………………. [2]
b) 𝑦 when 𝑥 = 10.
Answer b) y = ……………………………. [2]
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Q8. A straight line passes through the points 𝑃 (1, 2) and 𝑄 (5, – 14).
Find,
a) the coordinates of the midpoint of 𝑃𝑄.
b) the gradient of 𝑃𝑄.
c) the equation of line parallel to 𝑃𝑄 and passing through (0, 6).
Answer a) ( ………… , ………… ) [2]
Answer b) ……………………………. [2]
Answer c) ……………………………. [1]
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Q9. a) Arrange the following in order, starting with the smallest.
3 2
0 −1 − 1.2
4 5
Answer ………… , ………… , ………… , ………… , ………… [2]
Smallest
b) Solve the simultaneous equations.
4𝑥 − 3𝑦 = 14
2𝑥 + 𝑦 = −3
Answer x = …………………………….
y = ……………………………. [3]
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