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Israel · Grade 8 · Practice Sheet 12

Sheet code: ISRAEL-G8-S12 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    What is 20% of 270?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  2. 2.

    Find the mean (average) of these numbers: 63, 47, 56, 86.

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

    A force of 212 N acts on an area of 6.4 m². Find the pressure.

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

    An object has mass 135 g and volume 27 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  5. 5.

    ₪160 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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  6. 6.

    A force of 380 N acts on an area of 4.1 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  7. 7.

    A cylinder has radius 4 cm and height 15 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder
    V=πr2hV = \pi r^2 h
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  8. 8.

    A force of 246 N acts on an area of 9.7 m². Find the pressure.

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

    A car travels 210 km in 2 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  10. 10.

    A right-angled triangle has legs of 11 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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  11. 11.

    Find the mean (average) of these numbers: 63, 70, 82, 86.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  12. 12.

    ₪1,900 is invested at 7.5% simple interest per year for 2 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.

    ₪140 is shared in the ratio 3 : 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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  14. 14.

    A value changes from 169 to 194. 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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  15. 15.

    A force of 286 N acts on an area of 5.7 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  16. 16.

    Solve for x: 4x + 3 = 19.

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

    A cylinder has radius 3 cm and height 7 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder
    V=πr2hV = \pi r^2 h
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  18. 18.

    A train moves at 99 km/h for 1.9 hours. How far does it travel?

    Formula:Distance from Speed & Time
    d=v×td = v \times t
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  19. 19.

    A value changes from 152 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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  20. 20.

    A force of 277 N acts on an area of 7.7 m². Find the pressure.

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