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Ghana · Grade 8 · Practice Sheet 31

Sheet code: GHANA-G8-S31 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    A cylinder has radius 14 cm and height 16 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder
    V=πr2hV = \pi r^2 h
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  2. 2.

    GH₵ 1,600 is invested at 6% simple interest per year for 5 years. Find the interest earned.

    Formula:Simple Interest
    I=P×r×t100I = \dfrac{P \times r \times t}{100}
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  3. 3.

    What is 30% of 600?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  4. 4.

    A train moves at 86 km/h for 5.3 hours. How far does it travel?

    Formula:Distance from Speed & Time
    d=v×td = v \times t
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  5. 5.

    A right-angled triangle has legs of 14 cm and 12 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  6. 6.

    GH₵ 2,300 is invested at 5% simple interest per year for 4 years. Find the interest earned.

    Formula:Simple Interest
    I=P×r×t100I = \dfrac{P \times r \times t}{100}
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  7. 7.

    A bag has 29 equally likely marbles, of which 28 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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  8. 8.

    A right-angled triangle has legs of 3 cm and 4 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  9. 9.

    Solve for x: 8x + 1 = 97.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  10. 10.

    Find the mean (average) of these numbers: 63, 92, 60, 37.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  11. 11.

    A car travels 268 km in 4 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  12. 12.

    A value changes from 142 to 247. 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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  13. 13.

    A train moves at 25 km/h for 4.9 hours. How far does it travel?

    Formula:Distance from Speed & Time
    d=v×td = v \times t
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  14. 14.

    Solve for x: 9x + 17 = 116.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  15. 15.

    What is 15% of 580?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  16. 16.

    A car travels 156 km in 3 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  17. 17.

    A circle has a radius of 8 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle
    A=πr2A = \pi r^2
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  18. 18.

    An object has mass 39.6 g and volume 18 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  19. 19.

    A car travels 285 km in 3 hours. Find its average speed.

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

    A cylinder has radius 4 cm and height 19 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder
    V=πr2hV = \pi r^2 h
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