Austria · Klasse 6 · Practice Sheet 15

1. 1.

   Find the mean (average) of these numbers: 63, 23, 69, 31, 74, 46.

   Formula:Arithmetic Mean

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

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2. 2.

   Convert 5.09 kilometres into metres.

   Formula:Metric Length Conversion

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

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3. 3.

   A train moves at 76 km/h for 2.9 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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4. 4.

   Find 3/5 of 80.

   Formula:Fraction of a Quantity

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

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5. 5.

   One item costs €20.98. Find the total cost of 20 items.

   Formula:Total Cost

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

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6. 6.

   Calculate 33 × 5.

   Formula:Multiplication

   $p = a \times b$

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7. 7.

   A rectangle is 29 cm long and 9 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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8. 8.

   Find the perimeter of a rectangle measuring 22 m by 35 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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9. 9.

   A triangle has a base of 15 cm and a height of 22 cm. Find its area.

   Formula:Area of a Triangle

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

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10. 10.

    Find 2/5 of 90.

    Formula:Fraction of a Quantity

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

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11. 11.

    One item costs €15.73. Find the total cost of 17 items.

    Formula:Total Cost

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

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12. 12.

    An item costs €43.98 and you pay with €50. How much change do you get?

    Formula:Change Due

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

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13. 13.

    A triangle has a base of 4 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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14. 14.

    Convert 8.26 kilometres into metres.

    Formula:Metric Length Conversion

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

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15. 15.

    Find 3/4 of 40.

    Formula:Fraction of a Quantity

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

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16. 16.

    An item costs €35.16 and you pay with €40. How much change do you get?

    Formula:Change Due

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

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17. 17.

    Find the mean (average) of these numbers: 27, 58, 95, 17, 54.

    Formula:Arithmetic Mean

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

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18. 18.

    An item costs €18.06 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.

    Find the area of a square with side length 27 cm.

    Formula:Area of a Square

    $A = s^2$

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20. 20.

    Calculate 90 × 6.

    Formula:Multiplication

    $p = a \times b$

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