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Lesson: Applications on Ratios

Worksheet • 8 Questions

Q1:

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

Q2:

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 = 2 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 = 1 8 c m , 𝑃 = 9 2 c m

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:

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?

Q5:

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

Q6:

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.

  • A85 people per square mile
  • B701 people per square mile
  • C75 people per square mile
  • D people per square mile
  • E80 people per square mile

Work out the population density of the UK.

  • A701 people per square mile
  • B17 people per square mile
  • C85 people per square mile
  • D695 people per square mile
  • E705 people per square mile

Q7:

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

Q8:

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

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