Fractions · Ages 11–12

Rates and unit prices worksheet

Part of: Ratio and rate

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Fractions · Ages 11–12

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Name:Date:Score:／48

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

1.A printer prints 168 pages in 7 minutes. How many pages does it print each minute, on average?
Answer:
2.5 erasers cost $40 altogether. How much does each one cost, in dollars?
Answer:
3.A printer prints 35 pages in 5 minutes. How many pages does it print each minute, on average?
Answer:
4.8 notebooks cost $184 altogether. How much does each one cost, in dollars?
Answer:
5.5 water bottles cost $55. How much do 2 cost, in dollars?
Answer:
6.A 200 g bag of coffee beans costs $20. How much is that for each 100 g, in dollars?
Answer:
7.A 900 g bag of coffee beans costs $18. How much is that for each 100 g, in dollars?
Answer:
8.7 erasers cost $70. How much do 6 cost, in dollars?
Answer:

9.The same storybook is sold in four packs. Which is the best buy?
- A. 5 for $50
- B. 3 for $39
- C. 6 for $72
- D. 6 for $30
Choose the right answer
Answer:
10.The same ballpoint pen is sold in four packs. Which is the best buy?
- A. 3 for $42
- B. 4 for $16
- C. 6 for $48
- D. 2 for $22
Choose the right answer
Answer:
11.When buying erasers, “2 for $22” is a better buy than “5 for $45”.
True or false?
Answer:
12.When buying ballpoint pens, “4 for $48” is a better buy than “6 for $24”.
True or false?
Answer:

13.Say £1 can be changed for HK$11. Ka-yee takes HK$440 on a trip to London. How many pounds can that be changed for?
Working:
Answer:
14.A supermarket sells cereal in two packs: a small 200 g pack for $20 and a big 800 g pack for $56. Which is the better buy?
- A. They are equally good buys
- B. The big pack
- C. There isn't enough to tell
- D. The small pack
Choose the right answer
Working:
Answer:
15.A tap lets out 6 L of water in 3 minutes. At that rate, how many minutes does it take to fill a 40 L tank?
Working:
Answer:
16.Ka-lok's family buys 4 iced lemon teas at a cha chaan teng and pays $88 in all. How much is one iced lemon tea, in dollars?
Working:
Answer:
17.Shop A sells 6 cans of soda for $33, and shop B sells 2 cans for $10. Buying at the cheaper shop, how much is saved on each can, in dollars?
Working:
Answer:
18.May's family buys 4 iced lemon teas at a cha chaan teng and pays $96 in all. How much is one iced lemon tea, in dollars?
Working:
Answer:

Show the answers and working

Rates and unit prices worksheet: Answers and working

1. 24 pages
Share the 168 pages equally over 7 minutes: how many in each minute?
Pages a minute = pages ÷ minutes: 168 ÷ 7 = 24.
2. 8 dollars
The unit price is the cost of one: share the $40 equally among the 5.
Unit price = total ÷ how many: 40 ÷ 5 = 8.
3. 7 pages
Share the 35 pages equally over 5 minutes: how many in each minute?
Pages a minute = pages ÷ minutes: 35 ÷ 5 = 7.
4. 23 dollars
The unit price is the cost of one: share the $184 equally among the 8.
Unit price = total ÷ how many: 184 ÷ 8 = 23.
5. 22 dollars
Find the price of one first, 55 ÷ 5, then think about 2.
Find the unit price first: 55 ÷ 5 = 11; then 2 × 11 = 22.
6. 10 dollars
How many lots of 100 g are there in 200 g?
200 g is 2 lots of 100 g: 20 ÷ 2 = 10.
7. 2 dollars
How many lots of 100 g are there in 900 g?
900 g is 9 lots of 100 g: 18 ÷ 9 = 2.
8. 60 dollars
Find the price of one first, 70 ÷ 7, then think about 6.
Find the unit price first: 70 ÷ 7 = 10; then 6 × 10 = 60.

9. D. 6 for $30
Turn each pack into the price for one: total ÷ how many. Then compare.
Change each to a unit price: the cheapest is $5 each.
10. B. 4 for $16
Turn each pack into the price for one: total ÷ how many. Then compare.
Change each to a unit price: the cheapest is $4 each.
11. False
Turn both into the price for one: 22 ÷ 2 and 45 ÷ 5.
Unit prices: 22 ÷ 2 = 11 and 45 ÷ 5 = 9; the lower one is the better buy.
12. False
Turn both into the price for one: 48 ÷ 4 and 24 ÷ 6.
Unit prices: 48 ÷ 4 = 12 and 24 ÷ 6 = 4; the lower one is the better buy.

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

13. 40 pounds
Each £1 takes HK$11. How many lots of 11 are there in 440?
Each £1 takes HK$11: 440 ÷ 11 = 40.
14. B. The big pack
Turn both packs into the price for each 100 g, then compare.
For each 100 g: small 20 ÷ 2 = $10, big 56 ÷ 8 = $7; the lower one is the better buy.
15. 20 minutes
Find how many litres flow out each minute first: 6 ÷ 3.
Each minute it lets out 6 ÷ 3 = 2 L; 40 ÷ 2 = 20 minutes.
16. 22 dollars
Share the $88 equally among the 4 drinks.
88 ÷ 4 = 22.
17. 0.5 dollars
Find each shop's price for one can first: 33 ÷ 6 and 10 ÷ 2.
Shop A: 33 ÷ 6 = $5.5 a can; shop B: 10 ÷ 2 = $5 a can; the difference is $0.5.
18. 24 dollars
Share the $96 equally among the 4 drinks.
96 ÷ 4 = 24.

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