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Worksheet: Properties of Ratio

Q1:

Express the ratio 4 2 minutes : 0 . 1 hours in its simplest form.

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

Q2:

Write a ratio equivalent to 5 4 3 6 that is the result of dividing both sides by 6.

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

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

  • A11 : 15
  • B15 : 11
  • C44 : 15
  • D11 : 60
  • E40 : 56

Q3:

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

  • A1 : 7
  • B9 : 3
  • C6 : 12
  • D2 : 6
  • E1 : 27

Q4:

Express the ratio between 900 pt and 4 LE in its simplest form.

  • A 9 4 0
  • B 4 9
  • C 4 5 2
  • D 9 4
  • E 4 0 9

Q5:

The side length of a square is 2 cm. A rectangle has length 7 cm and width 5 cm. Find the ratio between the perimeter of the square and the perimeter of the rectangle in its simplest form.

  • A 1 6
  • B 4 3 5
  • C 2 3
  • D 1 3

Q6:

Anthony’s monthly salary is 400 LE. He spends 160 LE and saves the remainder. What is the ratio between the amount he saves and his salary in its simplest form?

  • A
  • B
  • C
  • D

Q7:

The side length of a square is 4 cm. A rectangle has length 4 cm and width 3 cm. Find the ratio between the area of the square and the area of the rectangle in its simplest form.

  • A 1 3
  • B 8 7
  • C 1 1
  • D 4 3

Q8:

Given that 𝑎 𝑏 = 2 0 2 1 , find the value of 7 𝑎 + 2 𝑏 8 𝑎 2 𝑏 .

  • A 1 4 1
  • B 5 9 9 1
  • C41
  • D 9 1 5 9

Q9:

Write this ratio in its simplest form: The ratio of the circumference of a circle to its diameter.

  • A 2 𝜋 1
  • B 1 𝜋
  • C 1 2 𝜋
  • D 𝜋 1

Q10:

Write this ratio in its simplest form: The ratio of the side length of a square to its perimeter.

  • A 1 3
  • B 4 1
  • C 3 1
  • D 1 4

Q11:

If 𝑎 𝑏 = 4 3 1 4 , and 𝑎 𝑐 = 4 3 1 2 , find the value of 𝑐 𝑏 .

  • A 4 3 1 2
  • B 7 6
  • C 1 2 4 3
  • D 6 7
  • E 4 3 1 4

Q12:

Express the ratio between the areas 6 0 sahms and 3 1 3 kirats in its simplest form.

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

Q13:

Express the ratio between the areas 3 0 kirats and 0 . 5 feddans in its simplest form.

  • A 5 1
  • B 2 5
  • C 1 5
  • D 5 2
  • E 5 4

Q14:

Express the ratio 1 . 2 3 . 8 in its simplest form.

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

Q15:

If 𝑎 3 3 , 𝑎 + 3 3 , 𝑏 2 4 , and 𝑏 + 2 4 are in proportion, find the value of 𝑎 𝑏 .

  • A 1 1 4
  • B 8 1 1
  • C 4 1 1
  • D 1 1 8

Q16:

If 𝑎 5 𝑥 + 𝑦 = 𝑏 4 𝑦 𝑥 = 𝑐 6 𝑥 + 8 𝑦 , find the value of 𝑎 + 5 𝑏 6 𝑏 + 𝑐 .

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

Q17:

Find the missing term that makes the following numbers proportional: 0.8, 4.2, , 42.

Q18:

Given that 𝑥 𝑦 = 7 2 , which of the following are equal to 𝑥 𝑦 𝑥 + 𝑦 .

  • A 9 5
  • B 2 7
  • C 5 2
  • D 5 9
  • E 7 9

Q19:

If 𝑥 + 𝑦 3 5 = 𝑦 + 𝑧 4 6 = 𝑧 + 𝑥 2 9 , find the value of 𝑥 + 𝑦 + 𝑧 𝑦 𝑧 .

  • A5
  • B 6 5 5
  • C 1 5
  • D 5 5 6

Q20:

Determine the ratio between 400 g and 0.5 kg in its simplest form.

  • A 2 2 5
  • B 5 4
  • C 8 1
  • D 4 5
  • E 1 8