Math: Middle School: Grades 6, 7 and 8 Quiz - Numbers - Ratios (Questions)

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In Math, ratios are a way of comparing quantities. For example, if there are 25 girls and 20 boys in a class, the ratio is 25 : 20. Because the numbers 25 and 20 have a common factor of 5, this can be canceled down to 5 : 4, known as the simplest form.

1. What is 150 cm : 4 m in its simplest form?
[ ] 2 : 7
[ ] 3 : 8
[ ] 4 : 9
[ ] 5 : 9
2. The ratio of two bags of flour is 3 : 4. If the smaller bag holds 900 g of flour, how much does the larger bag hold?
[ ] 1,000 g
[ ] 1,100 g
[ ] 1,200 g
[ ] 1,300 g
3. A road map is drawn to a scale of 1 cm = 8 km. A distance of 6.5 cm on the map represents how many kilometers of the road?
[ ] 52 km
[ ] 56 km
[ ] 65 km
[ ] 81 km
4. What is £8 : 420p in its simplest form?
[ ] 13 : 25
[ ] 17 : 28
[ ] 19 : 33
[ ] 40 : 21
5. Divide £85 in the ratio 1 : 4.
[ ] £17 : £68
[ ] £23 : £62
[ ] £40 : £45
[ ] £60 : £25
6. Dean buys 75 shares for £262.50. How much would 325 shares cost Dean?
[ ] £1,037.10
[ ] £1,137.50
[ ] £1,317.50
[ ] £1,731.40
7. Divide 240 liters in the ratio 3 : 5.
[ ] 50 : 150
[ ] 80 : 140
[ ] 90 : 150
[ ] 90 : 170
8. A drink is made from orange juice and lemonade in the ratio 3 : 7. How much lemonade is needed if 60 ml of orange juice is used?
[ ] 110 ml
[ ] 120 ml
[ ] 130 ml
[ ] 140 ml
9. What is 12 kg : 4,800 g in its simplest form?
[ ] 5 : 2
[ ] 6 : 3
[ ] 7 : 4
[ ] 8 : 5
10. 15 pints of milk cost £7.80. What is the cost of 22 pints of milk?
[ ] £10.80
[ ] £11.44
[ ] £14.44
[ ] £15.03
Math: Middle School: Grades 6, 7 and 8 Quiz - Numbers - Ratios (Answers)
1. What is 150 cm : 4 m in its simplest form?
[ ] 2 : 7
[x] 3 : 8
[ ] 4 : 9
[ ] 5 : 9
The common factor is 50 cm. There are 3 x 50 cm in 150 cm and there are 8 x 50 cm in 4 m
2. The ratio of two bags of flour is 3 : 4. If the smaller bag holds 900 g of flour, how much does the larger bag hold?
[ ] 1,000 g
[ ] 1,100 g
[x] 1,200 g
[ ] 1,300 g
A ratio such as 3:4 means 3/7 of one thing and 4/7 of another thing. The 7 comes from adding 3 and 4. The ratio 3:4 can also be written as a fraction 3/4 for calculations. In this case 900/x = 3/4 where x is the big bag of flour: so x = (4 x 900)/3. Use this method when dealing with ratios
3. A road map is drawn to a scale of 1 cm = 8 km. A distance of 6.5 cm on the map represents how many kilometers of the road?
[x] 52 km
[ ] 56 km
[ ] 65 km
[ ] 81 km
4. What is £8 : 420p in its simplest form?
[ ] 13 : 25
[ ] 17 : 28
[ ] 19 : 33
[x] 40 : 21
The quantities in the ratio MUST be in the same units: in this case change the £8 to 800p
5. Divide £85 in the ratio 1 : 4.
[x] £17 : £68
[ ] £23 : £62
[ ] £40 : £45
[ ] £60 : £25
Remember the two numbers must total £85
6. Dean buys 75 shares for £262.50. How much would 325 shares cost Dean?
[ ] £1,037.10
[x] £1,137.50
[ ] £1,317.50
[ ] £1,731.40
7. Divide 240 liters in the ratio 3 : 5.
[ ] 50 : 150
[ ] 80 : 140
[x] 90 : 150
[ ] 90 : 170
8. A drink is made from orange juice and lemonade in the ratio 3 : 7. How much lemonade is needed if 60 ml of orange juice is used?
[ ] 110 ml
[ ] 120 ml
[ ] 130 ml
[x] 140 ml
60 ml / 3 = 20 ml and 7 x 20 ml = 140 ml
9. What is 12 kg : 4,800 g in its simplest form?
[x] 5 : 2
[ ] 6 : 3
[ ] 7 : 4
[ ] 8 : 5
10. 15 pints of milk cost £7.80. What is the cost of 22 pints of milk?
[ ] £10.80
[x] £11.44
[ ] £14.44
[ ] £15.03