Practice A: Multiplying a Fraction and a Whole Number
Chapter 8 · Consolidation 1
Mixed consolidation. Attempt problems independently before revealing the solutions.
What is 1/4 of 20 counters?
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Partition 20 into 4 equal groups: 20 ÷ 4 = 5.
Calculate 4/5 × 7. Give the simplified result.
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7 copies of 4/5 make 28/5 = 5 3/5.
Calculate 2/4 × 7. Give the simplified result.
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7 copies of 2/4 make 14/4 = 3 1/2.
Find 2/3 of a set of 24 objects.
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Divide into 3 equal groups of 8, then choose 2 groups for 16 objects.
Find 4/5 of a set of 15 objects.
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Divide into 5 equal groups of 3, then choose 4 groups for 12 objects.
Find 7/8 of a set of 64 objects.
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Divide into 8 equal groups of 8, then choose 7 groups for 56 objects.
A teacher has 6 cards. She gives 1/2 of them away. How many cards remain?
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1/2 of 6 is 3; subtract from the original 6.
A shop starts with 24 items and sells 2/4. It then sells 1/4 of what remains. How many items remain?
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First 12 sell, leaving 12. Taking 1/4 of that remainder removes 3, so 9 remain.
What is 1/4 of 28 counters?
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Partition 28 into 4 equal groups: 28 ÷ 4 = 7.
Calculate 4/5 × 3. Give the simplified result.
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3 copies of 4/5 make 12/5 = 2 2/5.
Calculate 2/6 × 3. Give the simplified result.
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3 copies of 2/6 make 6/6 = 1.
Find 1/8 of a set of 48 objects.
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Divide into 8 equal groups of 6, then choose 1 groups for 6 objects.
Find 2/3 of a set of 21 objects.
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Divide into 3 equal groups of 7, then choose 2 groups for 14 objects.
Find 7/10 of a set of 30 objects.
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Divide into 10 equal groups of 3, then choose 7 groups for 21 objects.
A teacher has 4 cards. She gives 1/2 of them away. How many cards remain?
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1/2 of 4 is 2; subtract from the original 4.
A shop starts with 15 items and sells 2/3. It then sells 1/5 of what remains. How many items remain?
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First 10 sell, leaving 5. Taking 1/5 of that remainder removes 1, so 4 remain.
What is 1/10 of 90 counters?
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Partition 90 into 10 equal groups: 90 ÷ 10 = 9.
Calculate 1/3 × 5. Give the simplified result.
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5 copies of 1/3 make 5/3 = 1 2/3.