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Lebanon · Grade 8 · Practice Sheet 29

Sheet code: LEBANON-G8-S29 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    A value changes from 81 to 36. 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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  2. 2.

    Solve for x: 5x + 7 = 27.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  3. 3.

    A force of 173 N acts on an area of 4.6 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  4. 4.

    Find the circumference of a circle whose radius is 10 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle
    C=2πrC = 2\pi r
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  5. 5.

    A triangle has a base of 16 cm and a height of 15 cm. Find its area.

    Formula:Area of a Triangle
    A=12bhA = \tfrac{1}{2} b h
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  6. 6.

    An object has mass 54.4 g and volume 32 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  7. 7.

    Find the mean (average) of these numbers: 74, 53, 51, 13, 95.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  8. 8.

    A value changes from 176 to 189. 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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  9. 9.

    LL 152 is shared in the ratio 3 : 5. Find each share.

    Formula:Dividing in a Ratio
    share=parttotal parts×T\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T
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  10. 10.

    A right-angled triangle has legs of 10 cm and 5 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  11. 11.

    A car travels 160 km in 2 hours. Find its average speed.

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

    A train moves at 83 km/h for 2.8 hours. How far does it travel?

    Formula:Distance from Speed & Time
    d=v×td = v \times t
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  13. 13.

    A circle has a radius of 14 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle
    A=πr2A = \pi r^2
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  14. 14.

    A right-angled triangle has legs of 5 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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  15. 15.

    A circle has a radius of 9 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle
    A=πr2A = \pi r^2
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  16. 16.

    LL 75 is shared in the ratio 1 : 2. Find each share.

    Formula:Dividing in a Ratio
    share=parttotal parts×T\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T
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  17. 17.

    A car travels 88 km in 2 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  18. 18.

    An object has mass 50.6 g and volume 23 cm³. Find its density.

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

    A right-angled triangle has legs of 16 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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  20. 20.

    An object has mass 124.8 g and volume 24 cm³. Find its density.

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