Fractions · Ages 11–12
Sharing in a ratio worksheet
Part of: Ratio and rate
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Sharing in a ratio worksheet
Fractions · Ages 11–12
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.The ratio of ⭐ to 🎈 is 4 : 1, and there are 20 altogether. How many does each box of the bar model stand for?
Answer:
2.The ratio of 🍌 to 🐰 is 1 : 2, and there are 6 altogether. There are 🍌 and 🐰.
Fill in each blank
Answer:
3.The ratio of 🧊 to 🐸 is 6 : 5, and there are 55 altogether. There are 🧊 and 🐸.
Fill in each blank
Answer:
4.The ratio of 📏 to 🐻 is 2 : 3, and there are 35 altogether. How many does each box of the bar model stand for?
Answer:
5.The ratio of 🐵 to 📎 is 1 : 2. There are 22 📎. How many are there altogether?
Answer:
6.The ratio of 🖍️ to 🚗 is 5 : 6. There are 15 🖍️. How many 🚗 are there?
Answer:
7.The ratio of 🌸 to 🍎 is 5 : 7. There are 49 🍎. How many are there altogether?
Answer:
8.The ratio of 🐟 to 🐻 is 3 : 4. There are 30 🐟. How many 🐻 are there?
Answer:
9.The ratio of 🍌 to 🌸 to 🥚 is 1 : 2 : 3, with 42 altogether. There are 🍌, 🌸 and 🥚.
Fill in each blank
Answer:
10.The ratio of 🐱 to 🚗 is 5 : 9, and there are 40 more 🚗 than 🐱. How many are there altogether?
Answer:
11.The ratio of 🌸 to 🌳 is 1 : 8, and there are 35 more 🌳 than 🌸. How many are there altogether?
Answer:
12.The ratio of 📏 to ⚽ to 🐵 is 2 : 3 : 5, with 80 altogether. There are 📏, ⚽ and 🐵.
Fill in each blank
Answer:
Part B: Word problems (4 marks each)
13.At a summer camp, the ratio of boys to girls is 1 : 7, and there are 66 more girls than boys. How many children are at the camp?
Working:
Answer:
14.A ribbon 54 cm long is cut into two pieces in the ratio 7 : 2. How long is the longer piece, in cm?
Working:
Answer:
15.Tsz-ching and Ka-yan share $286 of lai see money in the ratio 5 : 6. Tsz-ching gets $ and Ka-yan gets $.
Fill in each blank
Working:
Answer:
16.At a party, red, yellow and green balloons are in the ratio 1 : 1 : 3, 15 in all. How many more green balloons are there than red ones?
Working:
Answer:
17.A bakery makes a batch of mooncakes, lotus seed and red bean in the ratio 4 : 5. There are 108 lotus seed mooncakes. How many mooncakes are in the batch?
Working:
Answer:
18.A ribbon 35 cm long is cut into two pieces in the ratio 1 : 6. How long is the longer piece, in cm?
Working:
Answer:
Show the answers and working
Sharing in a ratio worksheet: Answers and working
Part A: Working out and filling in
1. 4
With a ratio of 4 : 1, how many boxes are there in all? The 20 are shared equally among them.
There are 4 + 1 = 5 boxes, and 20 ÷ 5 = 4.
2. 2, 4
There are 1 + 2 boxes. Find one box first: 6 ÷ (1 + 2).
Each box is 6 ÷ 3 = 2; 🍌: 1 × 2 = 2, and 🐰: 2 × 2 = 4.
3. 30, 25
There are 6 + 5 boxes. Find one box first: 55 ÷ (6 + 5).
Each box is 55 ÷ 11 = 5; 🧊: 6 × 5 = 30, and 🐸: 5 × 5 = 25.
4. 7
With a ratio of 2 : 3, how many boxes are there in all? The 35 are shared equally among them.
There are 2 + 3 = 5 boxes, and 35 ÷ 5 = 7.
5. 33
📎's 2 boxes are 22. Find one box first.
📎 has 22 in its boxes, so each box is 22 ÷ 2 = 11; all 3 boxes: 3 × 11 = 33.
6. 18
🖍️'s 5 boxes are 15. Find one box first.
🖍️ has 15 in its boxes, so each box is 15 ÷ 5 = 3; 🚗: 6 × 3 = 18.
7. 84
🍎's 7 boxes are 49. Find one box first.
🍎 has 49 in its boxes, so each box is 49 ÷ 7 = 7; all 12 boxes: 12 × 7 = 84.
8. 40
🐟's 3 boxes are 30. Find one box first.
🐟 has 30 in its boxes, so each box is 30 ÷ 3 = 10; 🐻: 4 × 10 = 40.
9. 7, 14, 21
There are 1 + 2 + 3 boxes. Find one box first.
6 boxes in all, each 42 ÷ 6 = 7: 7, 14 and 21.
10. 140
How many more boxes does 🚗 have than 🐱? Those boxes are worth 40. Find one box first.
The gap between 🚗 and 🐱 is 9 − 5 = 4 in boxes, worth 40, so each box is 40 ÷ 4 = 10; all 14 boxes are 140.
11. 45
How many more boxes does 🌳 have than 🌸? Those boxes are worth 35. Find one box first.
The gap between 🌳 and 🌸 is 8 − 1 = 7 in boxes, worth 35, so each box is 35 ÷ 7 = 5; all 9 boxes are 45.
12. 16, 24, 40
There are 2 + 3 + 5 boxes. Find one box first.
10 boxes in all, each 80 ÷ 10 = 8: 16, 24 and 40.
Part B: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 88 children
How many more parts do the girls have? Those parts are 66 children. Find one part first.
Girls have 7 − 1 parts more, 66 children, so a part is 11; all 1 + 7 parts: 88.
14. 42 cm
There are 7 + 2 parts. Find one part first; the longer piece is the one with more parts.
Each part is 54 ÷ (7 + 2) = 6 cm; the longer piece has more parts: 42 cm.
15. 130, 156
There are 5 + 6 parts. Find one part first: 286 ÷ (5 + 6).
5 + 6 parts in all, $26 a part: Tsz-ching gets $130 and Ka-yan gets $156.
16. 6 balloons
There are 1 + 1 + 3 parts. Find one part first.
Each part is 15 ÷ (1 + 1 + 3) = 3; green has 3 − 1 parts more: 6.
17. 243 mooncakes
Lotus seed is 4 parts, 108 mooncakes. Find one part first.
Lotus seed: 108 ÷ 4 = 27 a part; all 4 + 5 parts: 243.
18. 30 cm
There are 1 + 6 parts. Find one part first; the longer piece is the one with more parts.
Each part is 35 ÷ (1 + 6) = 5 cm; the longer piece has more parts: 30 cm.
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