Worksheet: Equivalent Ratios

In this worksheet, we will practice simplifying ratios, whether they be part-to-part ratios or three-part ratios, and how to find equivalents to these ratios.

Q1:

Find the ratio 19109.5 in its simplest form.

  • A 9 9 5
  • B 1 5
  • C 3 6 1 2 0
  • D 1 9 9 0
  • E 5 1

Q2:

Express the ratio 10753 in its simplest form.

  • A 3 0 3 5
  • B 2 1 5 0
  • C 7 6
  • D 6 7
  • E 5 0 2 1

Q3:

A boy has 209 LE and his sister has 132 LE. What is the ratio between his money and hers in its simplest form?

  • A 1 9 1 2
  • B 7 1 9
  • C 1 2 1 9
  • D 1 2 7
  • E 7 1 2

Q4:

Which of the following ratios is equivalent to 1.5 : 4.6?

  • A7.5 : 10.6
  • B7.5 : 23
  • C3 : 2.3
  • D7.5 : 4.6
  • E3 : 4.6

Q5:

We can find equivalent ratios by multiplying or dividing both sides by the same number. For example, 1 : 5 is equivalent to 2 : 10.

Write a ratio equivalent to 59 by 4 that is the result of multiplying both sides by 4.

  • A 3 6 2 0
  • B 9 1 3
  • C 1 0 1 8
  • D 2 0 3 2
  • E 2 0 3 6

Write a ratio equivalent to 3 : 8 that is the result of multiplying both sides by 5.

  • A15 : 8
  • B3 : 40
  • C15 : 40
  • D40 : 15
  • E8 : 13

Q6:

Which of the following ratios is equivalent to 3 : 7?

  • A7 : 3
  • B12 : 28
  • C7 : 11
  • D1 : 21
  • E1 : 5

Q7:

If 𝑥𝑦=113, then which of the following represent the ratio 20𝑥25𝑦21𝑥+10𝑦 in its simplest form?

  • A 2 9 5 2 0 1
  • B 1 7 3 2 1 5
  • C 9 5
  • D 2 1 5 1 7 3
  • E 5 9

Q8:

9 1 0 of the circle’s area is shaded and 1819 of the triangle’s area is shaded. What is the ratio between the area of the circle and the area of the triangle?

  • A 3 7 0 3 6 1
  • B 1 0 1 9
  • C 1 9 1 0
  • D 2 0 1 9
  • E 3 6 1 3 7 0

Q9:

Given that 4𝑥27𝑦=3𝑥𝑦, which of the following correctly express the ratio 𝑥𝑦?

  • A 4 9 or 31
  • B 9 4 or 31
  • C 4 9 or 13
  • D 9 4 or 13

Q10:

A student got 30 out of 90 marks in the first-term exam in physics, and he got 81 out of 90 in the second-term exam. Express the ratio of his total marks scored in the two exams to the total marks available in its simplest form.

  • A 1 3
  • B 3 7 3 0
  • C 1 0 2 7
  • D 3 7 6 0

Q11:

A square and a rectangle have the same length perimeters, and the length of the rectangle is five times its width. What is the ratio between the area of the rectangle and the area of the square in its simplest form?

  • A 1 2 5
  • B 5 1 2
  • C 9 5
  • D 5 9

Q12:

Express the ratio 3552 as a fraction in its simplest form.

  • A 5 2 3 5
  • B 8 7 5 2
  • C 5 2 1 7
  • D 3 5 5 2

Q13:

Express the ratio of 72 minutes to 30 minutes in its simplest form.

  • A 3 0 7 2
  • B 7 5
  • C 5 7
  • D 1 2 5
  • E 5 1 2

Q14:

Are the ratios 654lb:oz and 550lb:oz equivalent?

  • Ano
  • Byes

Q15:

Fill in the blank: 636=6.

Q16:

Which of the following has an equivalent ratio to that of the shown figure?

  • A
  • B
  • C
  • D
  • E

Q17:

Are the ratios 7 : 8 and 21 : 22 equivalent?

  • Ayes
  • Bno

Q18:

Fill in the blank: 59=15.

Q19:

Are 927 and 1854 equivalent ratios?

  • Ayes
  • Bno

Q20:

If the ratios 6 : 4 and 4 : 𝑥 are equivalent, find the value of 𝑥.

  • A 3 8
  • B 8 3
  • C6
  • D 2 3
  • E16

Q21:

Which of the following ratios is equivalent to 3045:?

  • A 3 2
  • B 9 6 :
  • C10 to 15
  • D90 to 60

Q22:

Write the ratio between the two numbers 28 and 40 in its simplest form.

  • A 1 1 0
  • B 7 1 0
  • C 1 4 1 0
  • D 1 4 2 0

Q23:

Complete the following pattern: 12,24,48,.

  • A 1 6 8
  • B 8 1 4
  • C 8 1 6
  • D 6 1 6
  • E 1 6 3 2

Q24:

Write a ratio equivalent to 5436 that is the result of dividing both sides by 6.

  • A 6 0 4 2
  • B 9 6
  • C 6 9
  • D 9 3 6
  • E 4 2 6 0

Write a ratio equivalent to 44 : 60 that is the result of dividing both sides by 4.

  • A11 : 60
  • B11 : 15
  • C44 : 15
  • D15 : 11
  • E40 : 56

Q25:

Which of the following ratios is equivalent to 3 : 9?

  • A9 : 3
  • B1 : 7
  • C6 : 12
  • D2 : 6
  • E1 : 27

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