 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