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South Africa · Grade 7 · Practice Sheet 50

Sheet code: SOUTH-AFRICA-G7-S50 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    A right-angled triangle has legs of 11 cm and 17 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  2. 2.

    A car travels 144 km in 2 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  3. 3.

    A right-angled triangle has legs of 20 cm and 19 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  4. 4.

    A value changes from 77 to 45. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100
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  5. 5.

    A car travels 276 km in 3 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  6. 6.

    What is 75% of 210?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  7. 7.

    Convert 2.16 kilometres into metres.

    Formula:Metric Length Conversion
    1km=1000m1\,\text{km} = 1000\,\text{m}
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  8. 8.

    A car travels 680 km in 8 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  9. 9.

    Find 1/3 of 54.

    Formula:Fraction of a Quantity
    result=ab×N\text{result} = \dfrac{a}{b} \times N
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  10. 10.

    Find the area of a square with side length 19 cm.

    Formula:Area of a Square
    A=s2A = s^2
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  11. 11.

    A right-angled triangle has legs of 15 cm and 14 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  12. 12.

    Find the mean (average) of these numbers: 82, 68, 57, 23, 18, 23.

    Formula:Arithmetic Mean
    xˉ=xn\bar{x} = \dfrac{\sum x}{n}
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  13. 13.

    A value changes from 85 to 244. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100
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  14. 14.

    Find the area of a square with side length 4 cm.

    Formula:Area of a Square
    A=s2A = s^2
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  15. 15.

    A value changes from 61 to 121. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100
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  16. 16.

    Find the area of a square with side length 24 cm.

    Formula:Area of a Square
    A=s2A = s^2
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  17. 17.

    A right-angled triangle has legs of 12 cm and 16 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  18. 18.

    A value changes from 141 to 256. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100
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  19. 19.

    A car travels 848 km in 8 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  20. 20.

    Find the area of a square with side length 15 cm.

    Formula:Area of a Square
    A=s2A = s^2
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