Belgium · Year 7 · Practice Sheet 13

1. 1.

   Find 1/5 of 50.

   Formula:Fraction of a Quantity

   $\text{result} = \dfrac{a}{b} \times N$

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2. 2.

   A circle has a radius of 17 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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3. 3.

   A rectangle is 19 cm long and 16 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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4. 4.

   Find the perimeter of a rectangle measuring 10 m by 7 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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5. 5.

   A right-angled triangle has legs of 17 cm and 15 cm. Find the length of the hypotenuse.

   Formula:Pythagorean Theorem

   $c = \sqrt{a^2 + b^2}$

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6. 6.

   A car travels 872 km in 8 hours. Find its average speed.

   Formula:Speed

   $v = \dfrac{d}{t}$

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7. 7.

   A triangle has a base of 30 cm and a height of 25 cm. Find its area.

   Formula:Area of a Triangle

   $A = \tfrac{1}{2} b h$

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8. 8.

   Find the mean (average) of these numbers: 88, 55, 66, 47, 10.

   Formula:Arithmetic Mean

   $\bar{x} = \dfrac{\sum x}{n}$

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9. 9.

   What is 75% of 180?

   Formula:Percentage of a Quantity

   $\text{result} = \dfrac{p}{100} \times N$

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10. 10.

    A car travels 228 km in 6 hours. Find its average speed.

    Formula:Speed

    $v = \dfrac{d}{t}$

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11. 11.

    €132 is shared in the ratio 1 : 3. Find each share.

    Formula:Dividing in a Ratio

    $\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T$

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12. 12.

    €3,100 is invested at 3% simple interest per year for 5 years. Find the interest earned.

    Formula:Simple Interest

    $I = \dfrac{P \times r \times t}{100}$

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13. 13.

    A car travels 800 km in 8 hours. Find its average speed.

    Formula:Speed

    $v = \dfrac{d}{t}$

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14. 14.

    Find the area of a square with side length 29 cm.

    Formula:Area of a Square

    $A = s^2$

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15. 15.

    A circle has a radius of 17 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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16. 16.

    A triangle has a base of 19 cm and a height of 24 cm. Find its area.

    Formula:Area of a Triangle

    $A = \tfrac{1}{2} b h$

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17. 17.

    Find the area of a square with side length 7 cm.

    Formula:Area of a Square

    $A = s^2$

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18. 18.

    A right-angled triangle has legs of 12 cm and 3 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem

    $c = \sqrt{a^2 + b^2}$

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19. 19.

    Find the circumference of a circle whose radius is 5 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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20. 20.

    A car travels 150 km in 3 hours. Find its average speed.

    Formula:Speed

    $v = \dfrac{d}{t}$

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