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Year 6 Mathematics · 20 July 2026
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Mathematics : Year 6
Mixed Practice
Name:
Mathematics · Year 6
Date:
20 July 2026
Section A — Warm Up
1.
Calculate the volume of this cube. Give your answer in cm³.
5 cm
Answer:
2.
Find x:
x
×
3
/
4
= 4
1
/
2
Answer:
3.
Two straight lines cross. One angle is 74°. Find the vertically opposite angle in degrees.
74°
?°
?°
?°
Answer:
4.
Calculate: (17 - 9) - 2
Answer:
5.
A point is at (1, 1). Translate it 1 right, 1 up. What are its new coordinates?
-10
-10
-8
-8
-6
-6
-4
-4
-2
-2
2
2
4
4
6
6
8
8
10
10
0
P
Answer:
Section B — Practice
6.
Ivy buys 4 biscuits and a sandwich costing £1. The total is £41. How much does each biscuit cost?
Answer:
7.
Elsie eats
2
/
3
of a chocolate bar. Olivia eats
3
/
4
of what is left. What fraction of the chocolate bar is left?
Answer:
8.
Ava buys 6 packs of erasers. Each pack has 12, but 4 are broken in every pack. How many usable erasers does she have?
Answer:
9.
A bag has 12 red and 25 blue counters. P(red) as a fraction in lowest terms?
Answer:
10.
Express 6
7
/
10
in decimal form.
Answer:
Section C — Challenge
11.
The journey times were: 15, 19, 13, 23, 22 minutes. What was the mean (average) travel time to school?
Answer:
12.
Which percentage converts most easily to an angle?
Answer:
13.
Find x: x ÷ 0.2 = 12.0
Answer:
14.
A jug of 12
4
/
5
litres of juice is shared between 4 children equally. How much does each get?
Answer:
15.
Liam builds a trapezium-shaped shelf with parallel sides 12 cm and 18 cm and perpendicular height 21 cm. Find the area in cm².
Answer:
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