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Kenya · Grade 7 · Practice Sheet 30

Sheet code: KENYA-G7-S30 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    A circle has a radius of 18 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle
    A=πr2A = \pi r^2
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  2. 2.

    Convert 6.91 kilometres into metres.

    Formula:Metric Length Conversion
    1 km=1000 m1\,\text{km} = 1000\,\text{m}
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  3. 3.

    A car travels 399 km in 7 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  4. 4.

    Solve for x: 7x + 1 = 57.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  5. 5.

    A rectangle is 13 cm long and 7 cm wide. Find its area.

    Formula:Area of a Rectangle
    A=l×wA = l \times w
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  6. 6.

    A value changes from 194 to 106. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change
    % change=new−oldold×100\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100
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  7. 7.

    What is 20% of 540?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  8. 8.

    A train moves at 23 km/h for 3.6 hours. How far does it travel?

    Formula:Distance from Speed & Time
    d=v×td = v \times t
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  9. 9.

    Find the mean (average) of these numbers: 50, 82, 36, 70, 10.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  10. 10.

    A rectangle is 38 cm long and 30 cm wide. Find its area.

    Formula:Area of a Rectangle
    A=l×wA = l \times w
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  11. 11.

    A value changes from 72 to 228. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change
    % change=new−oldold×100\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100
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  12. 12.

    Find the mean (average) of these numbers: 89, 38, 58, 34, 49, 59.

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

    Find 1/4 of 44.

    Formula:Fraction of a Quantity
    result=ab×N\text{result} = \dfrac{a}{b} \times N
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  14. 14.

    A value changes from 161 to 50. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change
    % change=new−oldold×100\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100
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  15. 15.

    A right-angled triangle has legs of 3 cm and 9 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  16. 16.

    Solve for x: 7x + 2 = 16.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  17. 17.

    A train moves at 65 km/h for 5 hours. How far does it travel?

    Formula:Distance from Speed & Time
    d=v×td = v \times t
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  18. 18.

    A value changes from 56 to 208. Find the percentage change (to 2 d.p.).

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

    A circle has a radius of 24 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle
    A=πr2A = \pi r^2
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  20. 20.

    A bag has 9 equally likely marbles, of which 6 are red. Find the probability of drawing a red marble (to 3 d.p.).

    Formula:Simple Probability
    P(E)=favourabletotalP(E) = \dfrac{\text{favourable}}{\text{total}}
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