Germany · Klasse 7 · Practice Sheet 6

1. 1.

   A value changes from 173 to 188. Find the percentage change (to 2 d.p.).

   Formula:Percentage Change

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

   View formula →
2. 2.

   A circle has a radius of 18 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

   View formula →
3. 3.

   What is 12% of 90?

   Formula:Percentage of a Quantity

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

   View formula →
4. 4.

   Find 2/3 of 48.

   Formula:Fraction of a Quantity

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

   View formula →
5. 5.

   A train moves at 93 km/h for 5.6 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

   View formula →
6. 6.

   A rectangle is 7 cm long and 15 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

   View formula →
7. 7.

   A train moves at 74 km/h for 2.4 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

   View formula →
8. 8.

   A bag has 22 equally likely marbles, of which 20 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 →
9. 9.

   Find the area of a square with side length 26 cm.

   Formula:Area of a Square

   $A = s^2$

   View formula →
10. 10.

    A value changes from 69 to 40. 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.

    A rectangle is 31 cm long and 27 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

    View formula →
12. 12.

    Find the area of a square with side length 9 cm.

    Formula:Area of a Square

    $A = s^2$

    View formula →
13. 13.

    A rectangle is 40 cm long and 21 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

    View formula →
14. 14.

    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 →
15. 15.

    One item costs €8.34. Find the total cost of 17 items.

    Formula:Total Cost

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

    View formula →
16. 16.

    A right-angled triangle has legs of 15 cm and 17 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem

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

    View formula →
17. 17.

    Find 1/5 of 55.

    Formula:Fraction of a Quantity

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

    View formula →
18. 18.

    Find the mean (average) of these numbers: 94, 35, 64, 44, 12.

    Formula:Arithmetic Mean

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

    View formula →
19. 19.

    Find the perimeter of a rectangle measuring 42 m by 17 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

    View formula →
20. 20.

    €150 is shared in the ratio 3 : 2. Find each share.

    Formula:Dividing in a Ratio

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

    View formula →

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