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Sharing Problems

Quiz · Maths · Stage 3 · Year 5
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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 One pie is shared equally by 4 children. How much does each child get?
Show worked solution
1 ÷ 4 = 1/4.
2 3 pies are shared equally by 4 children. Write each share as a fraction.
Show worked solution
3/4 of a pie each.
3 6 m of rope is cut into 4 equal pieces. How long is each piece, in centimetres?
Show worked solution
600 ÷ 4 = 150 cm (1 1/2 m).

Level 2 · Core

4 4 pizzas are shared equally among 6 people. How much does each person get, in simplest form?
Show worked solution
4 ÷ 6 = 4/6 = 2/3 of a pizza each.
5 7 chocolate bars are shared equally by 2 children. How much does each get, as a mixed number?
Show worked solution
3 whole bars each, and the seventh bar is halved: 1/2. So 3 1/2.
6 $3 is shared equally by 4 children. How many cents does each get?
Show worked solution
300 ÷ 4 = 75 cents.

Level 3 · Challenge

7 Five pies are shared equally by 4 children.1  Each child gets 5/4 of a pie.
2  Each child gets 1 1/4 pies.
3  Each child gets more than 1 1/2 pies.
Which statements are correct?
Show worked solution
5 ÷ 4 = 5/4 (1 ✓) = 1 1/4 (2 ✓), which is less than 1 1/2 (3 ✗). 1 and 2.
8 A 2 m ribbon is cut into 5 equal pieces. Give each piece as a fraction of a metre, and in centimetres.
Show worked solution
2/5 m each, which is 200 ÷ 5 = 40 cm.
9 A 3 m plank is cut into 8 equal pieces. How long is each piece, in centimetres?
Show worked solution
300 ÷ 8 = 37.5 cm (3/8 of a metre).