1
For
Examiner’s
Use
Given that m= 25 and n=7.
Find the value of
√𝑚2 − 𝑛2 .
Answer .................................................................................. [2]
2
(a) When an aircraft was flying from Singapore to London the temperature outside the aircraft
was − 66°𝐶. When the aircraft landed at London airport the temperature was 15°𝐶.
Calculate the difference between these temperatures.
Answer (a).......................................................................... °𝐶 [2]
(b) On a particular day the temperature varied by 24°𝐶 . The highest temperature recorded was
32°𝐶. What was the lowest temperature recorded on that day?
Answer (b) ......................................................................... °𝐶 [2]
3
(a) Write in the missing numbers:
24
4
5
=
= =
36 12
22
Answer (a) ...................................., ...................................... [2]
(b) Without using your calculator and writing down all your working, show that
5
3
÷2
8
4
Answer (b) ............................................................................ [2]
4
Write the following decimals in order of magnitude, starting with the smallest:
7.0
0.7
0.77
0.707
0.07
7.7
Answer ................<............. <................<.............<.............<................ [2]
5
The diameter of the Sun is 1, 390, 000 km.
Write the diameter of the Sun in standard form.
Answer ..................................................................................km [2]
6
Insert brackets to make the following statement correct.
For
Examiner’s
Use
6 × 4 + 6 ÷ 3 = 36
[2]
7
3.9 × 26.4
4.83
(a) Rewrite this calculation with each number rounded to 1 significant figure.
[2]
(b) Use your answer to part (a) to estimate the answer to the calculation.
write your answer correct to 1 significant figure.
Answer (b) ................................................................................... [2]
8
In a race, an athlete runs 2200 m at an average speed of 6 m/s.
The distance is given correct to the nearest 100 m and the speed correct to the nearest metre per
second.
Complete the two statements in the answer space
Answer ...........................≤ distance <.......................... [2]
..............................≤ speed <.......................... [2]
9
In a shop, a bicycle is priced at $650.
The price includes Government Tax at 15%.
How much is the tax?
Answer $.................................................................................. [3]
10
The rate of exchange is $ 1 = 15.43 Argentinean pesos . Calculate the price, in pesos, of a $630
sofa set.
Answer .................................................................................... [2]
11
(a) The height, h centimetres, reached by a ball thrown vertically upwards is proportional to the
square of the speed, S metres per second, with which it is thrown. When S = 5, h = 100.
(i)
For
Examiner’s
Use
Explain why the equation connecting “h” and “S” is written as 𝒉 = 𝟒𝑺𝟐 ,
[2]
(ii)
Find the value of h when S = 12
Answer (a)( ii) .................................................................................. [1]
(b) A train completed a 405 km journey in 5.4 hours.
(i)
Calculate the average speed of the train,
Answer (b) (i) ........................................................................ km/h [2]
(ii)
Write 5.4 hours in hours and minutes.
Answer (b) (ii)...............................hours............................... min [1]
12
The price of a box of soap powder increased from $2.50 to $2.65. Calculate the percentage increase
in the price?
Answer ...................................................................................% [2]
13
The diagram, which is not drawn to scale, shows the graph of the function y = mx + c, which passes
through the points A (0, 1) and B (4, 4).
y
B (4, 4)
A (0, 1)
O
x
(a) find the value of m and the value of c,
For
Examiner’s
Use
Answer (a) m =............................................................
C =............................................................ [2]
(b) Calculate the length of AB.
Answer (b) AB =............................................................................ [2]
14
Given that y = ap + aq
(a) Calculate the value of y when a = 3, p = – 4 and q = – 5
Answer (a) y =................................................................................... [2]
(b) Make “p” the subject of the formula.
Answer (b) p =................................................................................... [2]
15
(a) Solve the equation
5 ( 𝑥 + 2) – 3 (𝑥 – 5 ) = 29
Answer (a) x =................................................................................... [2]
(b) Factorise completely
𝑥3 − 𝑥
Answer (b) ................................................................................... [2]
16
Use compasses and ruler only.
For
Examiner’s
[2] Use
(a) Construct an angle AOB = 600. Line OA is drawn.
(b) On the same diagram construct the angle bisector of angle AOB.
A
O
17
[2]
The diagram shows a triangular prism. AB = 6 cm, BC = 8 cm and the angle ABC = 90°. The prism
has a length of 25 cm.
NOT TO
SCALE
A
6 cm
25 cm
B
8 cm
C
Calculate the volume of the prism.
Answer ................................................................................... cm³ [3]
18
On a farm the number of workers picking fruits on eleven days were
3, 8, 9, 12, 12, 15, 12, 13, 10, 8, 4.
Find the
(a) mean number of workers,
Answer (a) ................................................................................... [2]
For
Examiner’s
Use
(b) median
Answer (b) ................................................................................... [1]
(c) mode
Answer (c) ................................................................................... [1]
19
A
D
O
NOT TO
SCALE
114°
116°
C
B
CA and CB are tangents to a circle, centre O. ∠𝐴𝑂𝐵 = 116°
(a) Find ∠𝐴𝐷𝐵
Answer (a) ................................................................................... ° [1]
(b) Find ∠𝐴𝐶𝐵
Answer (b) ................................................................................... ° [1]
(c) Find ∠𝐵𝐴𝐶
Answer (c) ................................................................................... ° [2]
20
NOT TO
SCALE
10 cm
3 cm
14 cm
This net can be folded to make an open box.
(a) Find the perimeter of the net given,
Answer (a) ................................................................................... cm [2]
(b) Find the volume of the box,
Answer (b) ................................................................................... cm³ [2]
(c) Find the total external area of the box.
Answer (c) ................................................................................... cm² [2]
For
Examiner’s
Use