South Africa · Grade 6 · Practice Sheet 41

1. 1.

   Find 5/8 of 88.

   Formula:Fraction of a Quantity

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

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2. 2.

   Find the mean (average) of these numbers: 49, 65, 97, 11, 75.

   Formula:Arithmetic Mean

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

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3. 3.

   Find the circumference of a circle whose radius is 24 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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4. 4.

   Find 1/4 of 16.

   Formula:Fraction of a Quantity

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

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5. 5.

   Find the area of a square with side length 28 cm.

   Formula:Area of a Square

   $A = s^2$

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6. 6.

   R144 is shared in the ratio 5 : 3. Find each share.

   Formula:Dividing in a Ratio

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

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7. 7.

   Calculate 120 ÷ 10.

   Formula:Division

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

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8. 8.

   Calculate 63 × 4.

   Formula:Multiplication

   $p = a \times b$

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9. 9.

   Find 2/3 of 57.

   Formula:Fraction of a Quantity

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

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10. 10.

    Find the perimeter of a rectangle measuring 21 m by 27 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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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.

    A train moves at 44 km/h for 5.7 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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13. 13.

    Convert 3.97 kilometres into metres.

    Formula:Metric Length Conversion

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

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14. 14.

    A train moves at 53 km/h for 2.3 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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15. 15.

    Find the circumference of a circle whose radius is 21 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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16. 16.

    Calculate 319 ÷ 11.

    Formula:Division

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

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17. 17.

    An item costs R27.71 and you pay with R30. How much change do you get?

    Formula:Change Due

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

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18. 18.

    A car travels 564 km in 6 hours. Find its average speed.

    Formula:Speed

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

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19. 19.

    Calculate 112 ÷ 8.

    Formula:Division

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

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20. 20.

    Find the circumference of a circle whose radius is 12 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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