Austria · Klasse 6 · Practice Sheet 40

1. 1.

   Calculate 132 ÷ 4.

   Formula:Division

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

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2. 2.

   One item costs €20.4. Find the total cost of 20 items.

   Formula:Total Cost

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

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3. 3.

   Find the mean (average) of these numbers: 96, 50, 38, 87.

   Formula:Arithmetic Mean

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

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4. 4.

   What is 25% of 180?

   Formula:Percentage of a Quantity

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

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5. 5.

   A triangle has a base of 14 cm and a height of 9 cm. Find its area.

   Formula:Area of a Triangle

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

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6. 6.

   Convert 5.82 kilometres into metres.

   Formula:Metric Length Conversion

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

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7. 7.

   Calculate 61 × 6.

   Formula:Multiplication

   $p = a \times b$

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8. 8.

   Convert 5.03 kilometres into metres.

   Formula:Metric Length Conversion

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

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9. 9.

   Find the area of a square with side length 10 cm.

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    Convert 10.16 kilometres into metres.

    Formula:Metric Length Conversion

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

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11. 11.

    Calculate 312 ÷ 8.

    Formula:Division

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

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12. 12.

    Find the area of a square with side length 20 cm.

    Formula:Area of a Square

    $A = s^2$

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13. 13.

    Calculate 36 × 8.

    Formula:Multiplication

    $p = a \times b$

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14. 14.

    Find the area of a square with side length 22 cm.

    Formula:Area of a Square

    $A = s^2$

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15. 15.

    Find the circumference of a circle whose radius is 16 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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16. 16.

    €273 is shared in the ratio 3 : 4. Find each share.

    Formula:Dividing in a Ratio

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

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17. 17.

    A rectangle is 26 cm long and 4 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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18. 18.

    Find the circumference of a circle whose radius is 30 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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19. 19.

    Find the perimeter of a rectangle measuring 9 m by 32 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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20. 20.

    A train moves at 74 km/h for 5.4 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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