prac2xl.comMathematics : Year 6
Mixed Practice
Name: Mathematics · Year 6Date: 24 September 2026
Section A — Warm Up
1.
Work out the missing digit to make this calculation correct:
▢5 − 43 = 32
Answer:
2.
A model boat is built at scale 1:100. The model is 15 cm long. What is the real boat length in cm?
Answer:
3.
Anya and 3 friends have a mean age of 9 years. The friends are 8, 7, 11 years. What is her age?
Answer:
4.
Which is larger: 2 or -1/2?
Answer:
5.
What decimal value is shown by the arrow on the number line?
Answer:
Section B — Practice
6.
How many positive integer pairs (a, b) satisfy a + b = 23 with a < b?
Answer:
7.
2(a − 6) means... Write the expanded expression.
Answer:
8.
A kite-shaped tile has diagonals 20 cm and 22 cm. Find its area in cm².
Answer:
9.
Divide 5,312 by 16. Give your answer to 2 decimal places.
Answer:
10.
A parallelogram-shaped tile has base 21 cm and perpendicular height 4 cm. Find its area in cm².
Answer:
Section C — Challenge
11.
V = l × w × h. V = 324, l = 6, w = 9. Find h.
Answer:
12.
This table classifies 70 students in total. One cell is missing — find it.
Answer:
13.
A farm has ducks and cows — 23 heads and 84 legs in total. How many ducks are there?
Answer:
14.
Facing a bearing of 020°, you turn 40° anticlockwise. What is your new bearing?
Answer:
15.
Simplify: 3(d − 3m) − 2(d + 3m)
Answer:
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