Austria · Klasse 6 · Practice Sheet 48

1. 1.

   A car travels 208 km in 4 hours. Find its average speed.

   Formula:Speed

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

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2. 2.

   Calculate 85 × 9.

   Formula:Multiplication

   $p = a \times b$

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3. 3.

   A circle has a radius of 5 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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4. 4.

   An item costs €41.91 and you pay with €50. How much change do you get?

   Formula:Change Due

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

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5. 5.

   Calculate 40 × 3.

   Formula:Multiplication

   $p = a \times b$

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6. 6.

   What is 30% of 150?

   Formula:Percentage of a Quantity

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

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7. 7.

   Find the perimeter of a rectangle measuring 18 m by 29 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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8. 8.

   A triangle has a base of 24 cm and a height of 24 cm. Find its area.

   Formula:Area of a Triangle

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

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9. 9.

   €100 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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10. 10.

    Find the area of a square with side length 15 cm.

    Formula:Area of a Square

    $A = s^2$

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11. 11.

    A triangle has a base of 21 cm and a height of 17 cm. Find its area.

    Formula:Area of a Triangle

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

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12. 12.

    An item costs €12.67 and you pay with €30. How much change do you get?

    Formula:Change Due

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

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13. 13.

    Find the area of a square with side length 25 cm.

    Formula:Area of a Square

    $A = s^2$

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14. 14.

    Find the perimeter of a rectangle measuring 29 m by 29 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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15. 15.

    Find the mean (average) of these numbers: 14, 72, 34, 54.

    Formula:Arithmetic Mean

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

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16. 16.

    What is 50% of 500?

    Formula:Percentage of a Quantity

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

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17. 17.

    One item costs €7.37. Find the total cost of 7 items.

    Formula:Total Cost

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

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18. 18.

    A rectangle is 7 cm long and 29 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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19. 19.

    A triangle has a base of 17 cm and a height of 29 cm. Find its area.

    Formula:Area of a Triangle

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

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20. 20.

    Calculate 84 ÷ 3.

    Formula:Division

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

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