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India · Class 8 · Practice Sheet 31

Sheet code: INDIA-G8-S31 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    A triangle has a base of 28 cm and a height of 14 cm. Find its area.

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

    Find the mean (average) of these numbers: 83, 44, 78, 51.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  3. 3.

    ₹3,100 is invested at 4% simple interest per year for 3 years. Find the interest earned.

    Formula:Simple Interest
    I=P×r×t100I = \dfrac{P \times r \times t}{100}
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  4. 4.

    A right-angled triangle has legs of 20 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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  5. 5.

    A force of 102 N acts on an area of 7.5 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  6. 6.

    A train moves at 56 km/h for 5.4 hours. How far does it travel?

    Formula:Distance from Speed & Time
    d=v×td = v \times t
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  7. 7.

    Solve for x: 3x + 3 = 24.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  8. 8.

    A value changes from 53 to 70. 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.

    A force of 89 N acts on an area of 9.9 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  10. 10.

    A value changes from 125 to 206. 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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  11. 11.

    What is 20% of 590?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  12. 12.

    ₹2,400 is invested at 7.5% simple interest per year for 3 years. Find the interest earned.

    Formula:Simple Interest
    I=P×r×t100I = \dfrac{P \times r \times t}{100}
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  13. 13.

    A force of 363 N acts on an area of 3.1 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  14. 14.

    ₹4,800 is invested at 6% 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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  15. 15.

    A right-angled triangle has legs of 3 cm and 6 cm. Find the length of the hypotenuse.

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

    A triangle has a base of 32 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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  17. 17.

    A bag has 16 equally likely marbles, of which 11 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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  18. 18.

    Solve for x: 9x + 14 = 104.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  19. 19.

    A car travels 576 km in 6 hours. Find its average speed.

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

    ₹296 is shared in the ratio 4 : 4. 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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