Hong Kong · Grade 7 · Practice Sheet 6

1. 1.

   Convert 4.85 kilometres into metres.

   Formula:Metric Length Conversion

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

   View formula →
2. 2.

   Find the perimeter of a rectangle measuring 36 m by 34 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

   View formula →
3. 3.

   A triangle has a base of 19 cm and a height of 26 cm. Find its area.

   Formula:Area of a Triangle

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

   View formula →
4. 4.

   HK$ 90 is shared in the ratio 5 : 5. Find each share.

   Formula:Dividing in a Ratio

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

   View formula →
5. 5.

   A bag has 14 equally likely marbles, of which 6 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 →
6. 6.

   Solve for x: 2x + 18 = 22.

   Formula:Solving a Linear Equation

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

   View formula →
7. 7.

   A right-angled triangle has legs of 5 cm and 4 cm. Find the length of the hypotenuse.

   Formula:Pythagorean Theorem

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

   View formula →
8. 8.

   One item costs HK$ 13.81. Find the total cost of 16 items.

   Formula:Total Cost

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

   View formula →
9. 9.

   Convert 1.87 kilometres into metres.

   Formula:Metric Length Conversion

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

   View formula →
10. 10.

    A car travels 535 km in 5 hours. Find its average speed.

    Formula:Speed

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

    View formula →
11. 11.

    Find the area of a square with side length 15 cm.

    Formula:Area of a Square

    $A = s^2$

    View formula →
12. 12.

    Find the perimeter of a rectangle measuring 42 m by 31 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

    View formula →
13. 13.

    HK$ 296 is shared in the ratio 3 : 5. Find each share.

    Formula:Dividing in a Ratio

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

    View formula →
14. 14.

    Find the perimeter of a rectangle measuring 14 m by 31 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

    View formula →
15. 15.

    A value changes from 143 to 53. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change

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

    View formula →
16. 16.

    A bag has 12 equally likely marbles, of which 10 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 →
17. 17.

    A car travels 721 km in 7 hours. Find its average speed.

    Formula:Speed

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

    View formula →
18. 18.

    Find 1/2 of 8.

    Formula:Fraction of a Quantity

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

    View formula →
19. 19.

    A car travels 208 km in 4 hours. Find its average speed.

    Formula:Speed

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

    View formula →
20. 20.

    Find the perimeter of a rectangle measuring 21 m by 18 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

    View formula →

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