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Fractions and Measurements Quiz

Total questions: 24

Worksheet time: 1hrs 12mins

Name
Class
Date
1.

Simplify the following fractions: a) 18/24 b) 45/60

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2.

Add and subtract the following fractions: a) 3/8 + 5/16 b) 7/12 - 5/18

4 lines
3.

Multiply and divide the following fractions: a) 4/9 × 3/5 b) 8/15 ÷ 2/3

4 lines
4.

Convert the following fractions to decimals: a) 7/8 b) 3/20

4 lines
5.

Perform the following calculations: a) 0.75 + 0.46 b) 1.32 - 0.89 c) 0.8 × 0.35 d) 4.5 ÷ 1.2

4 lines
6.

Calculate the area of the following shapes: a) A rectangle with a length of 12 cm and a width of 8 cm. b) A circle with a radius of 7 cm (π = 3.14).

4 lines
7.

Find the volume of: a) A cuboid with dimensions 5 m × 4 m × 3 m. b) A cylinder with a height of 10 cm and a radius of 3 cm (π = 3.14).

4 lines
8.

Solve the following equation: 3x + 5 = 20

4 lines
9.

Solve the following equation: 2x - 7 = 13

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10.

Simplify the following expression: 4(3x + 2)

4 lines
11.

Simplify the following expression: 5x - 3 + 2x + 7

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12.

A blueprint has a scale of 1:50. What is the actual length of a pipe that measures 6 cm on the blueprint?

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13.

Calculate the length of the hypotenuse of a right triangle with one side of 5 cm and an angle of 30° (round to 2 decimal places).

4 lines
14.

Find the angle Θ in a triangle where the opposite side is 7 cm and the adjacent side is 24 cm (round to 2 decimal places).

4 lines
15.

A container weighs 15 kg on Earth. Calculate its weight on the Moon, where gravity is 1/6th that of Earth.

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16.

A steel bar has a mass of 24 kg. If the density of steel is 8 g/cm³, find the volume of the bar in cm³.

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17.

Calculate the angles in a triangle with sides measuring 5 cm, 12 cm, and 13 cm.

4 lines
18.

Find the perimeter of a semicircle with a diameter of 14 cm (π = 3.14).

4 lines
19.

Divide $1200 in the ratio 3:5.

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20.

If a mixture contains sugar and water in a ratio of 2:7, how much sugar is there in 450 ml of the mixture?

4 lines
21.

Simplify the following: $3^2 \times 2^3$

4 lines
22.

Simplify the following: $\sqrt{144}$

4 lines
23.

Solve: $x^3 = 64$

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24.

Solve: $x^2 = 121$

4 lines