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Czechia · Grade 8 · Practice Sheet 13

Sheet code: CZECHIA-G8-S13 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    A right-angled triangle has legs of 18 cm and 7 cm. Find the length of the hypotenuse.

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

    What is 25% of 350?

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

    An object has mass 51 g and volume 17 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  4. 4.

    A bag has 24 equally likely marbles, of which 17 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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  5. 5.

    A cylinder has radius 7 cm and height 28 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder
    V=πr2hV = \pi r^2 h
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  6. 6.

    Kč 63 is shared in the ratio 2 : 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 circle has a radius of 19 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle
    A=πr2A = \pi r^2
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  8. 8.

    Find the circumference of a circle whose radius is 19 m. (Use π ≈ 3.14159)

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

    Kč 4,100 is invested at 10% 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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  10. 10.

    What is 25% of 160?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  11. 11.

    A force of 26 N acts on an area of 4.2 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  12. 12.

    A car travels 474 km in 6 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  13. 13.

    What is 75% of 170?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  14. 14.

    A car travels 300 km in 3 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  15. 15.

    A right-angled triangle has legs of 17 cm and 20 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 value changes from 191 to 219. 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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  17. 17.

    Find the circumference of a circle whose radius is 22 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle
    C=2πrC = 2\pi r
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  18. 18.

    A force of 423 N acts on an area of 7.4 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  19. 19.

    A value changes from 33 to 56. 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.

    Kč 4,800 is invested at 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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