Myanmar · Grade 7 · Practice Sheet 20

1. 1.

   A right-angled triangle has legs of 17 cm and 20 cm. Find the length of the hypotenuse.

   Formula:Pythagorean Theorem

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

   View formula →
2. 2.

   A rectangle is 35 cm long and 7 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

   View formula →
3. 3.

   A value changes from 44 to 153. Find the percentage change (to 2 d.p.).

   Formula:Percentage Change

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

   View formula →
4. 4.

   A right-angled triangle has legs of 14 cm and 8 cm. Find the length of the hypotenuse.

   Formula:Pythagorean Theorem

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

   View formula →
5. 5.

   Find the mean (average) of these numbers: 42, 31, 14, 50.

   Formula:Arithmetic Mean

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

   View formula →
6. 6.

   A value changes from 118 to 215. Find the percentage change (to 2 d.p.).

   Formula:Percentage Change

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

   View formula →
7. 7.

   Find the mean (average) of these numbers: 39, 79, 27, 14, 99, 35.

   Formula:Arithmetic Mean

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

   View formula →
8. 8.

   A car travels 380 km in 4 hours. Find its average speed.

   Formula:Speed

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

   View formula →
9. 9.

   A triangle has a base of 36 cm and a height of 6 cm. Find its area.

   Formula:Area of a Triangle

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

   View formula →
10. 10.

    Solve for x: 5x + 16 = 36.

    Formula:Solving a Linear Equation

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

    View formula →
11. 11.

    Find the perimeter of a rectangle measuring 30 m by 20 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

    View formula →
12. 12.

    Convert 5.07 kilometres into metres.

    Formula:Metric Length Conversion

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

    View formula →
13. 13.

    A rectangle is 27 cm long and 9 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

    View formula →
14. 14.

    Find the mean (average) of these numbers: 56, 30, 71, 30, 29.

    Formula:Arithmetic Mean

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

    View formula →
15. 15.

    Convert 9.24 kilometres into metres.

    Formula:Metric Length Conversion

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

    View formula →
16. 16.

    A circle has a radius of 16 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

    View formula →
17. 17.

    A bag has 13 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 →
18. 18.

    Find the mean (average) of these numbers: 10, 18, 44, 46, 86.

    Formula:Arithmetic Mean

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

    View formula →
19. 19.

    What is 10% of 310?

    Formula:Percentage of a Quantity

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

    View formula →
20. 20.

    A triangle has a base of 18 cm and a height of 26 cm. Find its area.

    Formula:Area of a Triangle

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

    View formula →

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