Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 What is 1/3 of 18?
Show worked solution
18 ÷ 3 = 6.
2 Find 1/5 of 30, then 2/5 of 30.
Show worked solution
30 ÷ 5 = 6; 2 × 6 = 12.
3 What is 1/10 of 250?
Show worked solution
250 ÷ 10 = 25.
Level 2 · Core
4 Mia has $40 and spends 2/5 of it. How much does she spend?
Show worked solution
A fifth of 40 is 8; two fifths are $16.
5 A rope is 2 m long. Find 1/8 of it and 3/8 of it, in centimetres.
Show worked solution
200 ÷ 8 = 25 cm; 3 × 25 = 75 cm.
6 What is 3/4 of an hour, in minutes?
Show worked solution
60 ÷ 4 = 15; 3 × 15 = 45 minutes.
Level 3 · Challenge
7 Three fifths of a number is 24.1 One fifth of the number is 8.
2 The number is 40.
3 The number is 72.
Which statements are correct?
2 The number is 40.
3 The number is 72.
Which statements are correct?
Show worked solution
24 ÷ 3 = 8 per fifth (1 ✓). 5 × 8 = 40 (2 ✓, 3 ✗). 1 and 2.
8 Jack paints 2/5 of a 10-section wall yellow and half of it purple. The rest is green. How many sections of each colour?
Show worked solution
Yellow: 2/5 of 10 = 4. Purple: 1/2 of 10 = 5. Green: 10 − 4 − 5 = 1.
9 Five sixths of a number is 60. What is the number?
Show worked solution
A sixth is 12; the number is 6 × 12 = 72.