South Africa · Grade 6 · Practice Sheet 30

1. 1.

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

   Formula:Area of a Square

   $A = s^2$

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2. 2.

   A triangle has a base of 27 cm and a height of 4 cm. Find its area.

   Formula:Area of a Triangle

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

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3. 3.

   An item costs R19.73 and you pay with R30. How much change do you get?

   Formula:Change Due

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

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4. 4.

   What is 50% of 440?

   Formula:Percentage of a Quantity

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

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5. 5.

   A car travels 693 km in 7 hours. Find its average speed.

   Formula:Speed

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

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6. 6.

   A rectangle is 8 cm long and 3 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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7. 7.

   Find the mean (average) of these numbers: 52, 75, 52, 91.

   Formula:Arithmetic Mean

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

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8. 8.

   A rectangle is 19 cm long and 25 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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9. 9.

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

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    One item costs R24.61. Find the total cost of 10 items.

    Formula:Total Cost

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

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11. 11.

    R3,000 is invested at 6% simple interest per year for 6 years. Find the interest earned.

    Formula:Simple Interest

    $I = \dfrac{P \times r \times t}{100}$

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12. 12.

    A train moves at 86 km/h for 3.2 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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13. 13.

    A circle has a radius of 17 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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14. 14.

    Find the circumference of a circle whose radius is 17 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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15. 15.

    Find the area of a square with side length 5 cm.

    Formula:Area of a Square

    $A = s^2$

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16. 16.

    An item costs R37.35 and you pay with R40. How much change do you get?

    Formula:Change Due

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

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17. 17.

    Find the circumference of a circle whose radius is 4 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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18. 18.

    R4,300 is invested at 8% simple interest per year for 5 years. Find the interest earned.

    Formula:Simple Interest

    $I = \dfrac{P \times r \times t}{100}$

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19. 19.

    A triangle has a base of 9 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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20. 20.

    Find the area of a square with side length 13 cm.

    Formula:Area of a Square

    $A = s^2$

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