Hong Kong · Grade 7 · Practice Sheet 17

1. 1.

   HK$ 324 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 →
2. 2.

   Convert 4.28 kilometres into metres.

   Formula:Metric Length Conversion

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

   View formula →
3. 3.

   HK$ 4,800 is invested at 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 →
4. 4.

   One item costs HK$ 24.43. Find the total cost of 15 items.

   Formula:Total Cost

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

   View formula →
5. 5.

   A circle has a radius of 3 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

   View formula →
6. 6.

   Find the area of a square with side length 17 cm.

   Formula:Area of a Square

   $A = s^2$

   View formula →
7. 7.

   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 →
8. 8.

   Find the area of a square with side length 28 cm.

   Formula:Area of a Square

   $A = s^2$

   View formula →
9. 9.

   A right-angled triangle has legs of 7 cm and 15 cm. Find the length of the hypotenuse.

   Formula:Pythagorean Theorem

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

   View formula →
10. 10.

    A value changes from 70 to 151. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change

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

    View formula →
11. 11.

    Find the mean (average) of these numbers: 53, 41, 29, 52, 96, 89.

    Formula:Arithmetic Mean

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

    View formula →
12. 12.

    A train moves at 46 km/h for 2.4 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

    View formula →
13. 13.

    Solve for x: 4x + 1 = 37.

    Formula:Solving a Linear Equation

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

    View formula →
14. 14.

    A rectangle is 17 cm long and 9 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

    View formula →
15. 15.

    Find 2/3 of 48.

    Formula:Fraction of a Quantity

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

    View formula →
16. 16.

    Find the area of a square with side length 28 cm.

    Formula:Area of a Square

    $A = s^2$

    View formula →
17. 17.

    Convert 7.49 kilometres into metres.

    Formula:Metric Length Conversion

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

    View formula →
18. 18.

    Find the perimeter of a rectangle measuring 25 m by 18 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

    View formula →
19. 19.

    Find the circumference of a circle whose radius is 23 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

    View formula →
20. 20.

    A right-angled triangle has legs of 12 cm and 13 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem

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

    View formula →

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