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Grades 6, 7 and 8 - Math - Middle School - Ratio
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Ratio is the relation between two numbers or quantities. It is useful for showing the number of times one value contains or is contained within the other. For instance in the ratio 1:3, if 1 is sand and 3 is water, you would need three times the amount of water in relation to sand. Ratios help us to visualize how different numbers of things compare to one another. They are also very similar to fractions. The ratios 1:3 and 2:3 can also be represented by the fractions  1⁄3 and  2⁄3. Tip: if you reverse the order of the numbers in a ratio, the ratio changes. 2:1 is NOT the same as 1:2. The... Show more
Grades 6, 7 and 8 - Math - Middle School - Ratio
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25 Questions

1. When making a cake, for every 400g of flour 200g of sugar is required. What is another way of saying this?
2. If the ratio of boys to girls is 1:1, which of the following statements is correct?
3. In a box of chocolates there are 4 milk chocolates to 3 dark chocolates. How many dark chocolates in a box of 49 chocolates?
4. What are the fractional parts of the ratio 2:9?
5. The ratio between blue boxes and yellow boxes is 3:2. If there are 4 yellow boxes how many blue boxes are there?
6. John has twice as many stamps than Yasif. If Yasif has 5 stamps how many stamps does John have?
7. William, Anna and Terry all have their birthdays on the same day. If their ages are in the ratio 1:4:5 respectively, and their combined age is 140, how old are they?
8. In every 10 bricks, 3 are red. We have 30 bricks so how many are red?
9. How else can the ratio 8:56 be written?
10. The ratio of brown rats to black rats is 4:8. If there are 24 black rats, how many brown rats are there?
11. Zara uses 20ml of fruit concentrate for every 60ml of water. How much fruit concentrate will she require for 180ml of water?
12. Peter has 20 blue pens. How many red pens must he buy if the ratio of blue to red pens has to be 2:3?
13. There are 3 yellow boxes for every 1 blue box. If there are 6 yellow boxes how many blue boxes are there?
14. The proportion of brick houses in every 20 is 3⁄10. How many brick houses in a street of 100 houses?
15. How else can the ratio 0.125:1.25:2.125 be written?
16. For every 2 black squares there is 1 white square. What is the ratio of black to white?
17. Granny gave Dave, Harry and Mary £600. If the money was shared out in the ratio 1:4:5 respectively, how much did each person get?
18. In every 10 tiles there are 2 red tiles. What is the proportion of red tiles?
19. The ratio of green bottles to white bottles is 3:4. What fraction of the bottles is white?
20. One hundred paintings have to be selected for an art exhibition. If the ratio of amateur paintings to professional paintings has to be 2:3, how many amateur paintings and professional paintings have to be selected?
21. In every 12 tiles the proportion of blue tiles is 3⁄4. How many blue tiles in every 12?
22. What are the fractional parts of 12:4:8?
23. The workload has to be shared out between three workers, A, B and C in the ratio 2:6:3 respectively. If the work consists of 1,100 units, how many units will each of the workers have to do?
24. 2⁄5 of the dogs are Labradors and 3⁄5 are Alsatians. What is this fact expressed as the ratio of Alsatians to Labradors?
25. The ratio of small houses to big houses is 4:7. Which of the following would not be acceptable on the basis of this ratio?

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