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In this lesson, we will learn how to use the ratio properties to solve problems.

Q1:

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

Q2:

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

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

Q3:

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

Q4:

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

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.

Q6:

Shady’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?

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.

Q8:

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

Q9:

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

Q10:

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

Q11:

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

Q12:

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

Q13:

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

Q14:

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

Q15:

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

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 .

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 .

Q19:

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

Q20:

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

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