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Fractions of a Collection

Quiz · Maths · Y3 Fractions · Year 3
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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.

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Level 1 · Warm-up

1 What is 1/3 of 21 counters?
Show worked solution
21 ÷ 3 = 7 counters.
2 There are 24 students in a class and 1/4 of them wear glasses. How many wear glasses?
Show worked solution
24 ÷ 4 = 6 students.
3 What is 1/2 of 50 marbles?
Show worked solution
50 ÷ 2 = 25 marbles.

Level 2 · Core

4 A bag holds 20 lollies and 3/5 of them are red. How many are red?
Show worked solution
1/5 of 20 is 4, so 3/5 is 3 × 4 = 12 red lollies.
5 There are 18 eggs and 2/3 of them are used. How many eggs are LEFT?
Show worked solution
1/3 of 18 is 6, so 2/3 is 12 used. That leaves 18 − 12 = 6 eggs.
6 A team of 15 players has 1/5 of them absent. How many players are present?
Show worked solution
1/5 of 15 is 3 absent, so 15 − 3 = 12 are present.

Level 3 · Challenge

7 A quarter of a collection is 7 counters. How many counters are in the whole collection?
Show worked solution
The whole is 4 equal groups of 7, so 4 × 7 = 28 counters.
8 A box holds 36 chocolates. 1/3 are dark and 1/4 are white. The rest are milk. How many are milk?
Show worked solution
Dark: 1/3 of 36 = 12. White: 1/4 of 36 = 9. Together 21, so milk is 36 − 21 = 15.
9 In a class, 2/5 of the students play soccer, and 12 students play soccer. How many students are in the class?
Show worked solution
If 2/5 is 12 then 1/5 is 6, so the class is 5 × 6 = 30 students.

⭐ Bonus Challenge · only if the rest felt easy

10 In a class of 28 students, 1/4 walk to school and 1/2 come by car. The rest catch the bus. How many catch the bus?
Show worked solution
1/4 of 28 = 7 walk. 1/2 of 28 = 14 come by car. That is 21 students, so 28 − 21 = 7 catch the bus.