prac2xl.comMathematics : Year 6
Mixed Practice
Name: Mathematics · Year 6Date: 18 September 2026
Section A — Warm Up
1.
If today is Tuesday, what day of the week is it in 39 days?
Answer:
2.
Sort these numbers: 77, 9, 42, 21, 7, 105, 24, 147, 27, 84, 45, 18.
How many of these numbers are multiples of 7 but not 3?
Answer:
3.
What is 5 1/5 + 2 1/5?
Answer:
4.
Amelia pays £50 for 5 books at £6.00 each. The change is divided equally between 2 friends. How much does each friend get?
Answer:
5.
Work out: 5 1/4 ÷ 3
Answer:
Section B — Practice
6.
Calculate: 3 - (30 - 47) + 30
Answer:
7.
A walking-route map at scale 1:100,000 shows Elijah's route as 12 cm. Real distance in km?
Answer:
8.
A fish tank is a cuboid measuring 2 cm × 9 cm × 13 cm. Find its volume in cm³.
Answer:
9.
Convert the ratio 21:4 to percentages.
Answer:
10.
What is 8 2/4 as a decimal?
Answer:
Section C — Challenge
11.
Freya's toy cube has volume 216 cm³. Find the side length in cm.
Answer:
12.
In 3,413,547, the digit 4 appears in the hundred thousands place and the tens place. The 4 in the hundred thousands place is how many times the value of the 4 in the tens place?
Answer:
13.
Two lines cross. One angle is (5x + 11)° and its vertically opposite is 71°. Find x.
Answer:
14.
A bag has only red and blue counters. P(red) is 50%. There are 6 red counters. How many counters in total?
Answer:
15.
Using each of 3, 7, 5, 2 exactly once, make a 4-digit number as close to 3,000 as possible.
Answer:
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