Worksheet: Applications on Ratios

In this worksheet, we will practice using ratios to solve real-world problems.

Q1:

𝐴 𝐡 𝐢 𝐷 is a rectangle in which 𝐴 𝐡 = 1 8 c m , and 𝐢 𝐻 𝐸 𝐹 is a square whose side length is 10 cm, where 𝐢 𝐻 𝐻 𝐡 = 5 9 . Find the length of 𝐴 𝐷 and the perimeter 𝑃 of the shaded part.

  • A 𝐴 𝐷 = 1 8 c m , 𝑃 = 9 2 c m
  • B 𝐴 𝐷 = 2 8 c m , 𝑃 = 8 2 c m
  • C 𝐴 𝐷 = 1 8 c m , 𝑃 = 8 2 c m
  • D 𝐴 𝐷 = 2 8 c m , 𝑃 = 9 2 c m

Q2:

Find the ratio between the perimeter of the triangle 𝐴 𝐡 𝐢 and the perimeter of the parallelogram 𝑋 π‘Œ 𝑍 𝐿 in its simplest form.

  • A 2 7 ∢ 2 2
  • B 9 ∢ 2 8
  • C 2 7 ∢ 4 9
  • D 9 ∢ 1 1

Q3:

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3∢40 pm. At this time, he started pumping gas into the tank. At exactly 3∢44 pm, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?

Q4:

A rectangle has a perimeter of 56 cm and side lengths in the ratio 5 ∢ 2 . What is the area of the rectangle?

Q5:

A circle has a diameter of 35 cm and a rectangle has sides of 11 cm and 4 cm. Using πœ‹ = 2 2 7 , express the ratio between the perimeter of the circle and the perimeter of the rectangle in its simplest form.

  • A 5 ∢ 1
  • B 3 ∢ 1 1
  • C 1 ∢ 5
  • D 1 1 ∢ 3
  • E 5 ∢ 2

Q6:

Dalia noticed that the tax on her gross salary is equal to of her net salary. What fraction of her gross salary does she pay in taxes? (Hint: net salary gross salary tax)

  • A
  • B
  • C
  • D
  • E

Q7:

For a school project, Sameh decides to compare the population densities of the US and the UK. He finds that, approximately, the population of the US is 323 million and its area is 3.8 million square miles and the UK’s are 65.6 million and 93.6 thousand square miles. Answer the following, working to the nearest whole number.

Work out the population density of the US.

  • A80 people per square mile
  • B75 people per square mile
  • C people per square mile
  • D85 people per square mile
  • E701 people per square mile

Work out the population density of the UK.

  • A701 people per square mile
  • B695 people per square mile
  • C705 people per square mile
  • D85 people per square mile
  • E17 people per square mile

Q8:

Frank is planning out a design for a home. The design includes a bedroom with a rectangular floor. The length of the actual bedroom will be 15 feet. On the blueprint, the length is 3 inches. He notices that the area of the bedroom on the blueprint is 6 in2. What is the actual width of the bedroom?

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.