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Austria · Klasse 7 · Practice Sheet 3

Sheet code: AUSTRIA-G7-S03 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    Find the mean (average) of these numbers: 87, 24, 77, 41, 71.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  2. 2.

    A right-angled triangle has legs of 17 cm and 14 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  3. 3.

    A circle has a radius of 11 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle
    A=πr2A = \pi r^2
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  4. 4.

    A train moves at 68 km/h for 5.5 hours. How far does it travel?

    Formula:Distance from Speed & Time
    d=v×td = v \times t
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  5. 5.

    One item costs €11.91. Find the total cost of 10 items.

    Formula:Total Cost
    total=price×quantity\text{total} = \text{price} \times \text{quantity}
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  6. 6.

    A value changes from 58 to 108. 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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  7. 7.

    Find the mean (average) of these numbers: 68, 85, 42, 21, 14, 63.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  8. 8.

    A rectangle is 40 cm long and 16 cm wide. Find its area.

    Formula:Area of a Rectangle
    A=l×wA = l \times w
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  9. 9.

    Convert 4.25 kilometres into metres.

    Formula:Metric Length Conversion
    1 km=1000 m1\,\text{km} = 1000\,\text{m}
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  10. 10.

    A bag has 14 equally likely marbles, of which 10 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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  11. 11.

    Convert 11.94 kilometres into metres.

    Formula:Metric Length Conversion
    1 km=1000 m1\,\text{km} = 1000\,\text{m}
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  12. 12.

    A right-angled triangle has legs of 3 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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  13. 13.

    What is 40% of 400?

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

    Find 1/4 of 68.

    Formula:Fraction of a Quantity
    result=ab×N\text{result} = \dfrac{a}{b} \times N
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  15. 15.

    Find the mean (average) of these numbers: 47, 74, 38, 35, 34, 44.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  16. 16.

    What is 25% of 270?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  17. 17.

    Find 3/8 of 96.

    Formula:Fraction of a Quantity
    result=ab×N\text{result} = \dfrac{a}{b} \times N
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  18. 18.

    €1,900 is invested at 4% simple interest per year for 5 years. Find the interest earned.

    Formula:Simple Interest
    I=P×r×t100I = \dfrac{P \times r \times t}{100}
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  19. 19.

    A bag has 10 equally likely marbles, of which 9 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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  20. 20.

    A train moves at 36 km/h for 2.1 hours. How far does it travel?

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