Denmark · Grade 6 · Practice Sheet 33

1. 1.

   kr 224 is shared in the ratio 3 : 5. Find each share.

   Formula:Dividing in a Ratio

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

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2. 2.

   Find the mean (average) of these numbers: 91, 74, 78, 67, 60, 87.

   Formula:Arithmetic Mean

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

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3. 3.

   One item costs kr 4.27. Find the total cost of 9 items.

   Formula:Total Cost

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

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4. 4.

   An item costs kr 4.3 and you pay with kr 20. How much change do you get?

   Formula:Change Due

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

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5. 5.

   Find the perimeter of a rectangle measuring 13 m by 14 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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6. 6.

   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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7. 7.

   Find the perimeter of a rectangle measuring 21 m by 10 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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8. 8.

   Calculate 27 × 12.

   Formula:Multiplication

   $p = a \times b$

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9. 9.

   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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10. 10.

    Find the perimeter of a rectangle measuring 8 m by 22 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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11. 11.

    Convert 3.05 kilometres into metres.

    Formula:Metric Length Conversion

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

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12. 12.

    Find the area of a square with side length 21 cm.

    Formula:Area of a Square

    $A = s^2$

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13. 13.

    Find the perimeter of a rectangle measuring 16 m by 4 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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14. 14.

    Find 6/8 of 40.

    Formula:Fraction of a Quantity

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

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15. 15.

    A triangle has a base of 24 cm and a height of 21 cm. Find its area.

    Formula:Area of a Triangle

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

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16. 16.

    A train moves at 33 km/h for 5.9 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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17. 17.

    Calculate 120 ÷ 10.

    Formula:Division

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

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18. 18.

    What is 15% of 150?

    Formula:Percentage of a Quantity

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

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19. 19.

    A rectangle is 11 cm long and 29 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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20. 20.

    A car travels 432 km in 4 hours. Find its average speed.

    Formula:Speed

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

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