Question 1

What is the ratio of 30 cm to 1.5 m?

Accepted Answer

To find the ratio, both quantities must be in the same unit. 1.5 m = 1.5 × 100 cm = 150 cm. The ratio is 30 cm : 150 cm = 30 / 150 = 1 / 5 = 1:5.

Question 2

Which of the following ratios is equivalent to 2:3?

Accepted Answer

A ratio equivalent to 2:3 can be found by multiplying both terms by the same number. If we multiply 2 and 3 by 4, we get 8:12.

Question 3

Are the numbers 15, 45, 40, 120 in proportion?

Accepted Answer

Four numbers are in proportion if the ratio of the first two is equal to the ratio of the last two. 15:45 = 1:3 and 40:120 = 1:3. Since both ratios are equal, they are in proportion.

Question 4

Find the missing term in the proportion: 14 : 21 = : 15

Accepted Answer

Let the missing term be x. Then 14/21 = x/15. Simplifying 14/21 gives 2/3. So, 2/3 = x/15, which means x = (2 × 15) / 3 = 10.

Question 5

What is the simplest form of the ratio 40:72?

Accepted Answer

To find the simplest form, divide both terms by their Highest Common Factor (HCF). The HCF of 40 and 72 is 8. So, 40÷8 : 72÷8 = 5:9.

Ratio and Proportion