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Qatar · Grade 8 · Practice Sheet 23

Sheet code: QATAR-G8-S23 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    A right-angled triangle has legs of 7 cm and 10 cm. Find the length of the hypotenuse.

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

    An object has mass 156.2 g and volume 22 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  3. 3.

    QAR 55 is shared in the ratio 4 : 1. 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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  4. 4.

    What is 75% of 490?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  5. 5.

    Find the mean (average) of these numbers: 91, 88, 30, 55, 99, 44.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  6. 6.

    A cylinder has radius 8 cm and height 17 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder
    V=πr2hV = \pi r^2 h
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  7. 7.

    A value changes from 29 to 259. 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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  8. 8.

    A force of 234 N acts on an area of 4.2 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  9. 9.

    A bag has 30 equally likely marbles, of which 9 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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  10. 10.

    A cylinder has radius 11 cm and height 27 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder
    V=πr2hV = \pi r^2 h
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  11. 11.

    A right-angled triangle has legs of 7 cm and 11 cm. Find the length of the hypotenuse.

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

    Solve for x: 5x + 14 = 59.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  13. 13.

    A value changes from 85 to 156. 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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  14. 14.

    What is 20% of 50?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  15. 15.

    Find the circumference of a circle whose radius is 12 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle
    C=2πrC = 2\pi r
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  16. 16.

    Solve for x: 3x + 12 = 30.

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

    A force of 197 N acts on an area of 3.3 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  18. 18.

    Find the mean (average) of these numbers: 37, 14, 18, 19.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  19. 19.

    A bag has 22 equally likely marbles, of which 3 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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  20. 20.

    QAR 65 is shared in the ratio 3 : 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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