Germany · Klasse 6 · Practice Sheet 37

1. 1.

   A triangle has a base of 23 cm and a height of 7 cm. Find its area.

   Formula:Area of a Triangle

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

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2. 2.

   One item costs €4.27. Find the total cost of 4 items.

   Formula:Total Cost

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

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3. 3.

   Find the mean (average) of these numbers: 79, 11, 83, 16, 53.

   Formula:Arithmetic Mean

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

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4. 4.

   €96 is shared in the ratio 5 : 3. Find each share.

   Formula:Dividing in a Ratio

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

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5. 5.

   A triangle has a base of 9 cm and a height of 4 cm. Find its area.

   Formula:Area of a Triangle

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

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6. 6.

   Find the area of a square with side length 23 cm.

   Formula:Area of a Square

   $A = s^2$

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7. 7.

   An item costs €7.72 and you pay with €10. How much change do you get?

   Formula:Change Due

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

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8. 8.

   Calculate 63 ÷ 3.

   Formula:Division

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

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9. 9.

   Convert 1.91 kilometres into metres.

   Formula:Metric Length Conversion

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

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10. 10.

    An item costs €35.96 and you pay with €40. How much change do you get?

    Formula:Change Due

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

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11. 11.

    €140 is shared in the ratio 2 : 3. Find each share.

    Formula:Dividing in a Ratio

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

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12. 12.

    A circle has a radius of 24 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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13. 13.

    Calculate 341 ÷ 11.

    Formula:Division

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

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14. 14.

    Find the perimeter of a rectangle measuring 11 m by 35 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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15. 15.

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

    Formula:Circumference of a Circle

    $C = 2\pi r$

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16. 16.

    A triangle has a base of 6 cm and a height of 13 cm. Find its area.

    Formula:Area of a Triangle

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

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17. 17.

    An item costs €33.91 and you pay with €50. How much change do you get?

    Formula:Change Due

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

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18. 18.

    Find the perimeter of a rectangle measuring 5 m by 12 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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19. 19.

    A triangle has a base of 29 cm and a height of 27 cm. Find its area.

    Formula:Area of a Triangle

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

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20. 20.

    Find the perimeter of a rectangle measuring 24 m by 24 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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