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Switzerland · Grade 8 · Practice Sheet 23

Sheet code: SWITZERLAND-G8-S23 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    A car travels 152 km in 2 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  2. 2.

    A cylinder has radius 3 cm and height 16 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder
    V=πr2hV = \pi r^2 h
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  3. 3.

    A car travels 345 km in 5 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  4. 4.

    A right-angled triangle has legs of 8 cm and 5 cm. Find the length of the hypotenuse.

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

    Solve for x: 4x + 6 = 50.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  6. 6.

    A force of 185 N acts on an area of 5 m². Find the pressure.

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

    A car travels 664 km in 8 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  8. 8.

    What is 50% of 540?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  9. 9.

    Find the mean (average) of these numbers: 54, 96, 77, 48, 40.

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

    A circle has a radius of 13 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 mean (average) of these numbers: 64, 94, 45, 40, 61.

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

    Find the circumference of a circle whose radius is 8 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle
    C=2πrC = 2\pi r
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  13. 13.

    A train moves at 21 km/h for 1.6 hours. How far does it travel?

    Formula:Distance from Speed & Time
    d=v×td = v \times t
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  14. 14.

    CHF 200 is shared in the ratio 1 : 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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  15. 15.

    A circle has a radius of 6 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle
    A=πr2A = \pi r^2
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  16. 16.

    A cylinder has radius 11 cm and height 10 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder
    V=πr2hV = \pi r^2 h
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  17. 17.

    CHF 5,000 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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  18. 18.

    A train moves at 34 km/h for 5.1 hours. How far does it travel?

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

    Solve for x: 8x + 17 = 57.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  20. 20.

    A right-angled triangle has legs of 8 cm and 4 cm. Find the length of the hypotenuse.

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