UnicMinds

# Ratios & Proportions Worksheet

Ratio and Proportion are used for comparison in mathematics. Ratio is a comparison of two quantities while Proportion is a comparison of two ratios.

A ratio is a comparison of two quantities that have the same units. You can express a ratio in any one of the following ways   –   20/3       20:3     or      20 to 3

A proportion is a statement that two ratios or rates are equal. It can be given as a sentence in words, but most often a proportion is an algebraic equation.

These practice questions below will test your conceptual understanding in Ratios & Proportions.

Question 1:

Express the below ratios in its simplest form.

• 25 litres to 0.5 litres
• 168 :  200
• 5.6 m to 6 km

Question 2:

In the ratio 4 : 5, the consequent is 20. Find the antecedent.

Question 3:

6.5 litres : 13 litres = X : 10 kg      ;    Find X.

Question 4:

Find the fourth proportional for the below.

• 5.6, 2.1, 1.6, x
• 5³/₅, 3¹/₂, 2, x

Question 5:

Find the third proportional for the below

• 4,  12,    x
• 0.2,   0.4,   x

Question 6:

A mallard duck has 16 ducklings. Four of the ducklings are male. What is the ratio of male to female ducklings?

Question 7:

You earn \$32 in 5 hours. At that rate, how much would you earn in 8 hours?

Question 8:

The below two figures are similar. Use proportions to find the side ‘n’.

Question 9:

Find the mean proportional between

• 9 and 4
• 1⁴/₅ and ⁴/₅

Question 10:

Bobby paid \$8.00 for 20 pounds of oranges. What is the ratio of the price of oranges to the pound of oranges?

Hope these questions help as a useful practice for the fundamental concepts of Ratios and Proportions, thank you.
You may like to read: Percentages Worksheet, Vedic Math Tricks, and Kangaroo Math for Kids.

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