Belgium · Year 7 · Practice Sheet 29

1. 1.

   What is 25% of 110?

   Formula:Percentage of a Quantity

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

   View formula →
2. 2.

   €133 is shared in the ratio 3 : 4. Find each share.

   Formula:Dividing in a Ratio

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

   View formula →
3. 3.

   A bag has 24 equally likely marbles, of which 12 are red. Find the probability of drawing a red marble (to 3 d.p.).

   Formula:Simple Probability

   $P(E) = \dfrac{\text{favourable}}{\text{total}}$

   View formula →
4. 4.

   Find the perimeter of a rectangle measuring 38 m by 32 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

   View formula →
5. 5.

   Find the circumference of a circle whose radius is 9 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

   View formula →
6. 6.

   Find 3/4 of 60.

   Formula:Fraction of a Quantity

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

   View formula →
7. 7.

   Find the mean (average) of these numbers: 39, 14, 81, 87.

   Formula:Arithmetic Mean

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

   View formula →
8. 8.

   Find the circumference of a circle whose radius is 27 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

   View formula →
9. 9.

   Solve for x: 8x + 8 = 56.

   Formula:Solving a Linear Equation

   $x = \dfrac{c - b}{a}$

   View formula →
10. 10.

    One item costs €13.79. Find the total cost of 6 items.

    Formula:Total Cost

    $\text{total} = \text{price} \times \text{quantity}$

    View formula →
11. 11.

    A value changes from 122 to 51. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change

    $\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100$

    View formula →
12. 12.

    A bag has 25 equally likely marbles, of which 9 are red. Find the probability of drawing a red marble (to 3 d.p.).

    Formula:Simple Probability

    $P(E) = \dfrac{\text{favourable}}{\text{total}}$

    View formula →
13. 13.

    Find the mean (average) of these numbers: 41, 49, 77, 95.

    Formula:Arithmetic Mean

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

    View formula →
14. 14.

    A train moves at 89 km/h for 3.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

    View formula →
15. 15.

    Find the area of a square with side length 24 cm.

    Formula:Area of a Square

    $A = s^2$

    View formula →
16. 16.

    €270 is shared in the ratio 5 : 4. Find each share.

    Formula:Dividing in a Ratio

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

    View formula →
17. 17.

    Find the perimeter of a rectangle measuring 42 m by 34 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

    View formula →
18. 18.

    A triangle has a base of 16 cm and a height of 4 cm. Find its area.

    Formula:Area of a Triangle

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

    View formula →
19. 19.

    A train moves at 69 km/h for 2.8 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

    View formula →
20. 20.

    Convert 7.63 kilometres into metres.

    Formula:Metric Length Conversion

    $1\,\text{km} = 1000\,\text{m}$

    View formula →

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