Germany · Klasse 6 · Practice Sheet 48

1. 1.

   Find the circumference of a circle whose radius is 10 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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2. 2.

   One item costs €22.9. Find the total cost of 8 items.

   Formula:Total Cost

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

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3. 3.

   A rectangle is 10 cm long and 25 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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4. 4.

   An item costs €38.04 and you pay with €50. How much change do you get?

   Formula:Change Due

   $\text{change} = \text{paid} - \text{cost}$

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5. 5.

   Find the perimeter of a rectangle measuring 34 m by 11 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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6. 6.

   A circle has a radius of 15 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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7. 7.

   Calculate 38 × 7.

   Formula:Multiplication

   $p = a \times b$

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8. 8.

   Find the circumference of a circle whose radius is 22 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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9. 9.

   €2,800 is invested at 3% simple interest per year for 2 years. Find the interest earned.

   Formula:Simple Interest

   $I = \dfrac{P \times r \times t}{100}$

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10. 10.

    €105 is shared in the ratio 4 : 3. Find each share.

    Formula:Dividing in a Ratio

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

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11. 11.

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

    Formula:Area of a Circle

    $A = \pi r^2$

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12. 12.

    An item costs €41.77 and you pay with €60. How much change do you get?

    Formula:Change Due

    $\text{change} = \text{paid} - \text{cost}$

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13. 13.

    Find the mean (average) of these numbers: 46, 93, 88, 15, 78, 15.

    Formula:Arithmetic Mean

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

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14. 14.

    Calculate 384 ÷ 12.

    Formula:Division

    $q = \dfrac{a}{b}$

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15. 15.

    A train moves at 84 km/h for 3.3 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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16. 16.

    Find the perimeter of a rectangle measuring 41 m by 5 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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17. 17.

    An item costs €5.61 and you pay with €20. How much change do you get?

    Formula:Change Due

    $\text{change} = \text{paid} - \text{cost}$

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18. 18.

    Find the circumference of a circle whose radius is 25 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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19. 19.

    A car travels 632 km in 8 hours. Find its average speed.

    Formula:Speed

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

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20. 20.

    Convert 1.61 kilometres into metres.

    Formula:Metric Length Conversion

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

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