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Mathematics Exam Paper - Ruimsig Academy

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2024
Mathematics
Name and Surname
Centre Number
Date
ZA331
2024
35 minutes
Additional materials:
- Black / blue pen
- Ruler
- Eraser
- Protractor / set square
INSTRUCTIONS:
-
Answer all questions.
Write your answer to each question in the space provided.
All calculations to be done on paper provided unless
requested on assessment paper.
You are not allowed to use a calculator.
INFORMATION
-
The total mark for this paper is 30.
The number of marks for each question or part question
is shown in brackets [ ] .
This document consists of 7 printed pages
_
RUIMSIG ACADEMY is a registered Cambridge International School
Centre Number ZA331
1
2
1
(a)
Work out.
7 – (–4)
(b) Write 7 as a decimal.
50
[1]
[1]
[1]
(c) 4 × −5 =
(d )−45 ÷
[1]
= −5
[1]
2
81 =
3
Here is a function machine.
Input
–2
Output
(a) Find the output when the input is 15
[1]
(b) Find the input when the output is 40
[1]
3
4
Work out.
21 – 6 + 5
5 + 62
[2]
5 a)
Find the lowest common multiple (LCM) of 6 and 9.
[1]
b)
Find the highest common factor (HCF) of 48 and 60.
[1]
[Turn over
4
6
Kim expands the bracket expression 5(2x − 3) and gets the answer 10x − 3
Is Kim correct? Tick one box.
Yes □
No □
Explain your answer.
_____________________________________________________________________
7
[2]
(a) Here are the second, third and fourth terms in a linear sequence.
…
1
–4
–9
…
(i) Write down the first and fifth terms in the sequence.
[2]
first term
fifth term
(ii) Describe the term-to-term rule for the sequence.
[1]
(b) The nth term of a different sequence is 7n.
Find the 9th term in this sequence.
[1]
5
8 Calculate the size of each lettered angle. (do not use a protractor)
[1]
9 (a) Complete this sentence by writing the three correct values.
A square-based pyramid has
edges,
faces and
vertices.
[2]
(b) A 3D shape has one curved surface, no vertices and no edges.
Write down the name of this shape.
10 (a) Work out.
[1]
1 2
×
7 3
[1]
(b) Work out.
2 24
÷
5 25
Give your answer in its simplest form.
[2]
[Turn over
6
11 Samira has 2.8 litres of lemonade.
She pours an equal amount of this lemonade into 5 cups.
She has 1.56 litres of lemonade remaining.
Work out the amount of lemonade in each cup.
Give your answer in litres.
l
12
a
[2]
The diagram shows the lengths of the equal sides of an isosceles triangle.
Use the information to write an equation.
______________________________________________________________________________________________________________
b
Solve your equation to find the value of y.
___________________________________________________________________________________________________________
[2]
7
13 Write these fractions in order of size, starting with the smallest:
2 7
,
,
5
.
3 12 8
Show all your working.
_____________________________________________________________________________________
[2]
[Turn over
8
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