Lesson Worksheet: Ratios of Geometric Figures Mathematics

In this worksheet, we will practice writing and simplifying ratios and using that to solve problems in geometric context.

Q1:

Find the ratio between the lengths 120cm and 3.2 m in its simplest form.

  • A803
  • B154
  • C380
  • D38
  • E83

Q2:

Find, in the simplest form, the ratio between the circumference of a circle whose radius is 7 cm and the perimeter of a square whose side length is 4.5 cm, where 𝜋=227.

  • A922
  • B229
  • C114
  • D411

Q3:

In a given rectangle, the length is four times the width. If the length is 40 cm, express the ratio between the rectangle’s perimeter and length in its simplest form.

  • A110
  • B101
  • C507
  • D52
  • E25

Q4:

Using the figures, determine the ratio between the area of triangle 𝐴𝐵𝐶 and the area of square 𝑋𝑌𝑍𝐿. Give your answer in its simplest form.

  • A41
  • B45
  • C85
  • D81

Q5:

In the figure below, what is the ratio between the green parts and red parts in its simplest form?

  • A23
  • B21
  • C12
  • D32

Q6:

Determine the ratio between the quantities 242802.2dmcmm in the simplest form.

  • A121411
  • B1201114
  • C1201411
  • D121114

Q7:

Express the following ratio in its simplest form: 18675LmL.

  • A541
  • B527
  • C154
  • D275
  • E5216

Q8:

Express the ratio 4.72,35018.8kmmkm in its simplest form.

  • A128
  • B218
  • C821
  • D812

Q9:

A square has side length 12 cm and a rectangle has sides of length 20 cm and 6 cm. What is the ratio between the perimeter of the rectangle and that of the square in its simplest form?

  • A1213
  • B56
  • C65
  • D52
  • E1312

Q10:

If the side length of a square is equal to the side length of an equilateral triangle, what is the ratio of the perimeter of the square to the perimeter of the equaliteral triangle?

  • A13
  • B43
  • C41
  • D34

This lesson includes 64 additional questions and 467 additional question variations for subscribers.

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