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What is a ratio? A ratio is the way we can determine how one number is related to another number. A ratio may be written as “A:B” or A/B. It can also be phrased as “A to B”.

1.

What is the ratio of 15 to 20?

3:1

3:3

3:4

3:5

2.

What is the ratio of 6 to 10?

3:2

3:3

3:4

3:5

You must find the greatest common factor of 6 and 10. In this case the greatest common factor is “2”.

6 ÷ 2 = 3

10 ÷ 2 = 5

The ratio of 6 to 19 is 3:5. Answer (d) is the correct answer

6 ÷ 2 = 3

10 ÷ 2 = 5

The ratio of 6 to 19 is 3:5. Answer (d) is the correct answer

3.

What is the ratio of 12 to 144?

1:13

1:16

1:19

1:12

You must find the greatest common factor of 12 and 144. In this case the greatest common factor is “12”.

12 ÷ 12 = 1

144 ÷ 12 = 12

The ratio of 12 to 144 is 1:12. Answer (d) is the correct answer

12 ÷ 12 = 1

144 ÷ 12 = 12

The ratio of 12 to 144 is 1:12. Answer (d) is the correct answer

4.

What is the ratio of 25 to 75?

5:45

5:15

5:25

5:35

You must find the greatest common factor of 25 and 75. In this case the greatest common factor is “5”.

25 ÷ 5 = 5

75 ÷ 5 = 15

The ratio of 25 to 75 is 5:15. Answer (b) is the correct answer

25 ÷ 5 = 5

75 ÷ 5 = 15

The ratio of 25 to 75 is 5:15. Answer (b) is the correct answer

5.

What is the ratio of 121 to 66?

11:6

10:6

14:6

13:6

You must find the greatest common factor of 121 and 66. In this case the greatest common factor is “11”.

121 ÷ 11 = 11

66 ÷ 11 = 6

The ratio of 121 to 66 is 11:6. Answer (a) is the correct answer

121 ÷ 11 = 11

66 ÷ 11 = 6

The ratio of 121 to 66 is 11:6. Answer (a) is the correct answer

6.

What is the ratio of 12 to 36?

2:6

2:8

2:2

2:4

You must find the greatest common factor of 12 and 36. In this case the greatest common factor is “6”.

12 ÷ 6 = 2

36 ÷ 6 = 6

The ratio of 12 to 36 is 2:6. Answer (a) is the correct answer

12 ÷ 6 = 2

36 ÷ 6 = 6

The ratio of 12 to 36 is 2:6. Answer (a) is the correct answer

7.

What is the ratio of 9 to 81?

1:7

1:8

1:9

1:89

You must find the greatest common factor of 9 and 81. In this case the greatest common factor is “9”.

9 ÷ 9 = 1

81 ÷ 9 = 9

The ratio of 9 to 81 is 1:9. Answer (c) is the correct answer

9 ÷ 9 = 1

81 ÷ 9 = 9

The ratio of 9 to 81 is 1:9. Answer (c) is the correct answer

8.

What is the ratio of 14 to 21?

2:7

2:4

2:3

2:1

You must find the greatest common factor of 14 and 21. In this case the greatest common factor is “7”.

14 ÷ 7 = 2

21 ÷ 7 = 3

The ratio of 14 to 21 is 2:3. Answer (c) is the correct answer

14 ÷ 7 = 2

21 ÷ 7 = 3

The ratio of 14 to 21 is 2:3. Answer (c) is the correct answer

9.

What is the ratio of 24 to 32?

3:6

3:4

3:8

3:2

You must find the greatest common factor of 24 and 32. In this case the greatest common factor is “8”.

24 ÷ 8 = 3

32 ÷ 8 = 4

The ratio of 24 to 32 is 3:4. Answer (b) is the correct answer

24 ÷ 8 = 3

32 ÷ 8 = 4

The ratio of 24 to 32 is 3:4. Answer (b) is the correct answer

10.

What is the ratio of 100 to 150?

2:3

2:5

2:7

2:9

You must find the greatest common factor of 100 and 150. In this case the greatest common factor is “50”.

100 ÷ 50 = 2

150 ÷ 50 = 3

The ratio of 100 to 150 is 2:3. Answer (a) is the correct answer

100 ÷ 50 = 2

150 ÷ 50 = 3

The ratio of 100 to 150 is 2:3. Answer (a) is the correct answer

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15 ÷ 5 = 3

20 ÷ 5 = 4

The ratio of 15 to 20 is 3:4. Answer (c) is the correct answer