Austria · Klasse 5 · Practice Sheet 6

1. 1.

   A triangle has a base of 14 cm and a height of 5 cm. Find its area.

   Formula:Area of a Triangle

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

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2. 2.

   Find the area of a square with side length 12 cm.

   Formula:Area of a Square

   $A = s^2$

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3. 3.

   Find the perimeter of a rectangle measuring 23 m by 13 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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4. 4.

   Calculate 19 × 12.

   Formula:Multiplication

   $p = a \times b$

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5. 5.

   Calculate 147 ÷ 7.

   Formula:Division

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

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6. 6.

   An item costs €38.49 and you pay with €50. How much change do you get?

   Formula:Change Due

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

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7. 7.

   A rectangle is 38 cm long and 15 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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8. 8.

   Find the area of a square with side length 18 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   One item costs €23.55. Find the total cost of 12 items.

   Formula:Total Cost

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

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10. 10.

    Convert 2.12 kilometres into metres.

    Formula:Metric Length Conversion

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

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11. 11.

    Find the area of a square with side length 11 cm.

    Formula:Area of a Square

    $A = s^2$

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12. 12.

    Convert 3.53 kilometres into metres.

    Formula:Metric Length Conversion

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

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13. 13.

    Find 2/5 of 55.

    Formula:Fraction of a Quantity

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

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14. 14.

    Find the perimeter of a rectangle measuring 18 m by 5 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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15. 15.

    Calculate 210 ÷ 6.

    Formula:Division

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

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16. 16.

    A triangle has a base of 35 cm and a height of 16 cm. Find its area.

    Formula:Area of a Triangle

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

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17. 17.

    Find the mean (average) of these numbers: 84, 69, 24, 32, 81, 27.

    Formula:Arithmetic Mean

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

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18. 18.

    An item costs €19.69 and you pay with €20. How much change do you get?

    Formula:Change Due

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

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19. 19.

    A train moves at 52 km/h for 6 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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20. 20.

    A triangle has a base of 25 cm and a height of 28 cm. Find its area.

    Formula:Area of a Triangle

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

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