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Algeria · Grade 8 · Practice Sheet 17

Sheet code: ALGERIA-G8-S17 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    Solve for x: 6x + 9 = 39.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  2. 2.

    What is 25% of 380?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  3. 3.

    A value changes from 148 to 116. 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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  4. 4.

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

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  5. 5.

    DA 2,400 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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  6. 6.

    DA 168 is shared in the ratio 5 : 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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  7. 7.

    A value changes from 189 to 22. 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.

    Find the circumference of a circle whose radius is 14 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle
    C=2πrC = 2\pi r
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  9. 9.

    Find the mean (average) of these numbers: 22, 40, 41, 36, 27.

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

    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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  11. 11.

    Find the circumference of a circle whose radius is 14 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle
    C=2πrC = 2\pi r
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  12. 12.

    Solve for x: 4x + 7 = 35.

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

    Find the mean (average) of these numbers: 11, 99, 86, 22, 64.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  14. 14.

    A bag has 10 equally likely marbles, of which 5 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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  15. 15.

    A value changes from 122 to 72. 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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  16. 16.

    Find the mean (average) of these numbers: 50, 11, 61, 16, 30.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  17. 17.

    What is 5% of 90?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  18. 18.

    An object has mass 117.8 g and volume 38 cm³. Find its density.

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

    What is 5% of 290?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  20. 20.

    A bag has 23 equally likely marbles, of which 8 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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