Multiplying, dividing and mixed operations · Ages 9–10

Unitary method: finding one first worksheet

Part of: The distributive property and mixed operations

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Multiplying, dividing and mixed operations · Ages 9–10

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.5 notebooks cost $110. One costs $, and 2 cost $.
Fill in each blank
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2.8 kites cost $176. How much does one cost?
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3.7 ballpoint pens cost $119. How much do 2 cost?
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4.6 cup noodles cost $120. How many can you buy with $180?
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5.3 notebooks cost $27. How much do 5 cost?
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6.9 storybooks cost $117. How many can you buy with $143?
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7.6 storybooks cost $30. Ka-yan has $27 and buys 3 of them. How much is left?
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8.7 erasers cost $133. Ka-yee has $180 and buys 9 of them. How much is left?
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13.2 cinema tickets cost $120. How much do 8 of the same tickets cost?
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14.A copier prints 108 sheets in 3 minutes. At that rate, how many sheets does it print in 6 minutes?
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15.Chi-keung walks 720 m in 8 minutes. At that speed, how many minutes does 990 m take?
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16.A car goes 24 km on 3 litres of petrol. At that rate, how far does it go on 8 litres?
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17.A supermarket's juice is “buy 5, get 1 free”, at $6 a carton. Ka-lok wants 31 cartons. What is the least Ka-lok must pay, in dollars?
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18.4 cinema tickets cost $260. How much do 9 of the same tickets cost?
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Show the answers and working

Unitary method: finding one first worksheet: Answers and working

1. 22, 44
Find one first: $110 pays for 5 of them. What do you divide by?
Find one first: 110 ÷ 5 = 22; then 2 of them: 22 × 2 = 44.
2. 22 dollars
$176 is the price of 8 of them. Share $176 equally into 8.
Share $176 equally into 8: 176 ÷ 8 = 22, so one costs $22.
3. 34 dollars
Find the price of one first: share $119 equally into 7.
One: 119 ÷ 7 = $17; 2: 17 × 2 = $34.
4. 9 cup noodles
Find the price of one first, 120 ÷ 6, then see how many of those fit into $180.
One costs 120 ÷ 6 = $20; 180 ÷ 20 = 9.
5. 45 dollars
Find the price of one first: share $27 equally into 3.
One: 27 ÷ 3 = $9; 5: 9 × 5 = $45.
6. 11 storybooks
Find the price of one first, 117 ÷ 9, then see how many of those fit into $143.
One costs 117 ÷ 9 = $13; 143 ÷ 13 = 11.
7. 12 dollars
Find the price of one first, 30 ÷ 6, then work out what 3 of them cost.
One costs 30 ÷ 6 = $5, so 3 cost 5 × 3 = $15; 27 − 15 = $12 is left.
8. 9 dollars
Find the price of one first, 133 ÷ 7, then work out what 9 of them cost.
One costs 133 ÷ 7 = $19, so 9 cost 19 × 9 = $171; 180 − 171 = $9 is left.

9. True
Find the price of one, work out what 9 of them cost, and compare with $207.
One costs 138 ÷ 6 = $23, so 9 cost 23 × 9 = $207. 3 more items is 3 more items' worth, not $3 more.
10. D. 184 ÷ 8 × 10
$184 is the price of 8 of them. First think how to find the price of one.
Find one: 184 ÷ 8 = 23, then times 10.
11. C. 45 ÷ 3 × 10
$45 is the price of 3 of them. First think how to find the price of one.
Find one: 45 ÷ 3 = 15, then times 10.
12. True
Find the price of one, work out what 6 of them cost, and compare with $138.
One costs 92 ÷ 4 = $23, so 6 cost 23 × 6 = $138. 2 more items is 2 more items' worth, not $2 more.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 480 dollars
Find the price of one ticket first: share $120 equally into 2.
One: 120 ÷ 2 = $60; 8: 60 × 8 = $480.
14. 216 sheets
Find how many sheets it prints in 1 minute first: 108 ÷ 3.
In 1 minute: 108 ÷ 3 = 36; in 6: 36 × 6 = 216.
15. 11 minutes
Find how far Chi-keung walks in 1 minute first: 720 ÷ 8.
1 minute covers 720 ÷ 8 = 90 m, so 990 ÷ 90 = 11 minutes.
16. 64 km
Find how far 1 litre goes first: 24 ÷ 3.
1 litre: 24 ÷ 3 = 8 km; 8 litres: 8 × 8 = 64 km.
17. 156 dollars
“Buy 5, get 1 free” means every 6 cartons, you pay for 5. Work out how many lots of 6 are in 31, and so how many are free.
Every 6 cartons, only 5 are paid for. 31 cartons hold 5 lots of 6 (5 free), so 26 are paid for: 26 × 6 = $156.
18. 585 dollars
Find the price of one ticket first: share $260 equally into 4.
One: 260 ÷ 4 = $65; 9: 65 × 9 = $585.

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