CAMBRIDGE LOWER SECONDARY PROGRESSION TEST PAPER
STAGE 7
1. Find the lowest common multiple of 24 and 18
2. Pierre rolls a fair six-sided dice numbered 1 to 6
Tick to show if each pair of events is mutually exclusive or not muatually exclusive.
Mutually exclusive
Not
mutually exclusive
Rolling a 6 and rolling an even number
Rolling an odd number and rolling a factor of 6
Rolling a square number and rolling a multiple of
3
3. Caculate 123  (172)
4. Jamila says “64 is both square and a cube number”
Is it correct or not? Why?
5. Write down the equation of a line that is parallel to the y-axis on a coordinate grid
6. The diagram shows a parallelogram. Find the values of p, q, r
7. The distance from Longtown to Manville is 76 km. These towns are plotted on a map. The map has a
scale of 1cm = 20km. Find the distance between these two towns on the map
8. Find the value of 3a  b when a  6.4 and b  4.3
9. Here is a triangle .
Samira tries to calculate the area of this triangle.
Here is her working and answer
5 13  65
65:2  32,5
ANSWER 32.5 cm
Describe two errors she has made.
Error 1: ……..
Error 2: …….
10. Yuri has some cloth 3.5 metres long. He cuts a 2-metre lenghth from this cloth to make a shirt.
Find the percentage of the cloth he has left
11. Anastasia changes …
12. Here is a circle with the centre marked O
On the diagram, draw and label the following parts of the
circle:
 A chord
 A tagent
 A radius
13. Complete this state
1 square metre = …….. square centimetres
14. Mike is x years old and Naomi is y years old
a) Write down what is represented by the expression y  x
………………………………………………………………………………………….[1]
b) Their ages are connected ny the equation y  2 x  7 . Naomi is 37 years old. Find the sum of Mike’s
age and Naomi’s age
15. a) Write 317.96 correct to one decimal place (Lam tron den hang don vi)
3
b) Work out
100  41.5
. Give your answer to two decimal places
3  22
16 (a) Simplify 5x  7  8x
(b) Write the missing value to complete this statement
17. Tick to show if each of the following statements is always true, sometimes true pr never true
Always true
A parallelogram has exactly one line of symmetry
A square has two rotational symmetry of order 4
A trapezium has two diagonals of equal length
Sometimes true
Never true