United Kingdom · Year 6 · Practice Sheet 33

1. 1.

   £102 is shared in the ratio 5 : 1. Find each share.

   Formula:Dividing in a Ratio

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

   View formula →
2. 2.

   Find the mean (average) of these numbers: 46, 24, 56, 42.

   Formula:Arithmetic Mean

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

   View formula →
3. 3.

   Find 3/4 of 80.

   Formula:Fraction of a Quantity

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

   View formula →
4. 4.

   A train moves at 91 km/h for 1.7 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

   View formula →
5. 5.

   A car travels 648 km in 6 hours. Find its average speed.

   Formula:Speed

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

   View formula →
6. 6.

   £180 is shared in the ratio 3 : 3. Find each share.

   Formula:Dividing in a Ratio

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

   View formula →
7. 7.

   Find the area of a square with side length 11 cm.

   Formula:Area of a Square

   $A = s^2$

   View formula →
8. 8.

   Find the circumference of a circle whose radius is 29 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

   View formula →
9. 9.

   An item costs £17.45 and you pay with £30. How much change do you get?

   Formula:Change Due

   $\text{change} = \text{paid} - \text{cost}$

   View formula →
10. 10.

    A rectangle is 38 cm long and 26 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

    View formula →
11. 11.

    A circle has a radius of 13 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

    View formula →
12. 12.

    An item costs £10.99 and you pay with £30. How much change do you get?

    Formula:Change Due

    $\text{change} = \text{paid} - \text{cost}$

    View formula →
13. 13.

    £2,100 is invested at 7.5% simple interest per year for 6 years. Find the interest earned.

    Formula:Simple Interest

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

    View formula →
14. 14.

    A triangle has a base of 33 cm and a height of 17 cm. Find its area.

    Formula:Area of a Triangle

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

    View formula →
15. 15.

    A circle has a radius of 11 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

    View formula →
16. 16.

    A train moves at 70 km/h for 2.1 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

    View formula →
17. 17.

    Calculate 117 ÷ 3.

    Formula:Division

    $q = \dfrac{a}{b}$

    View formula →
18. 18.

    Find the perimeter of a rectangle measuring 35 m by 24 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

    View formula →
19. 19.

    A triangle has a base of 12 cm and a height of 26 cm. Find its area.

    Formula:Area of a Triangle

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

    View formula →
20. 20.

    A car travels 413 km in 7 hours. Find its average speed.

    Formula:Speed

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

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.