T

Thirds & Fifths

Quiz · Maths · Y3 Fractions · Year 3
← Back to lesson

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.

Progress: 0 / 9 correct
Keep going!

Level 1 · Warm-up

1 What is 1/3 of 18?
Show worked solution
18 ÷ 3 = 6.
2 What is 1/5 of 25?
Show worked solution
25 ÷ 5 = 5.
3 Which is larger: 1/3 or 1/5?
Show worked solution
Cutting into 3 gives bigger pieces than cutting into 5, so 1/3 is larger.

Level 2 · Core

4 What is 2/3 of 15?
Show worked solution
1/3 of 15 is 5, so 2/3 is 2 × 5 = 10.
5 What is 3/5 of 20?
Show worked solution
1/5 of 20 is 4, so 3/5 is 3 × 4 = 12.
6 A class of 30 students has 1/5 of them away sick. How many students are at school?
Show worked solution
1/5 of 30 is 6 away, so 30 − 6 = 24 at school.

Level 3 · Challenge

7 2/3 of a number is 12. What is the number?
Show worked solution
If 2/3 is 12 then 1/3 is 6, so the whole is 3 × 6 = 18.
8 Which is more: 2/5 of 30, or 1/3 of 30? Write the larger answer as a number.
Show worked solution
2/5 of 30 is 12 and 1/3 of 30 is 10, so the larger is 12.
9 A prize of $60 is shared so that one person gets 2/5 of it and the rest is shared equally between 3 others. How much does each of the 3 others get?
Show worked solution
2/5 of $60 is $24, leaving $36. Shared between 3: 36 ÷ 3 = $12 each.

⭐ Bonus Challenge · only if the rest felt easy

10 Which is bigger: 2/3 of 12, or 3/5 of 15? Type the bigger answer as a number.
Show worked solution
2/3 of 12: one third is 4, so two thirds is 8. 3/5 of 15: one fifth is 3, so three fifths is 9. The bigger answer is 9.