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Denmark · Grade 7 · Practice Sheet 19

Sheet code: DENMARK-G7-S19 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    Find the mean (average) of these numbers: 37, 97, 25, 31, 22, 12.

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

    A train moves at 88 km/h for 1.7 hours. How far does it travel?

    Formula:Distance from Speed & Time
    d=v×td = v \times t
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  3. 3.

    A value changes from 84 to 25. 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.

    kr 3,600 is invested at 3% simple interest per year for 3 years. Find the interest earned.

    Formula:Simple Interest
    I=P×r×t100I = \dfrac{P \times r \times t}{100}
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  5. 5.

    Find the perimeter of a rectangle measuring 28 m by 31 m.

    Formula:Perimeter of a Rectangle
    P=2(l+w)P = 2(l + w)
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  6. 6.

    Find the mean (average) of these numbers: 72, 77, 47, 73, 95.

    Formula:Arithmetic Mean
    xˉ=∑xn\bar{x} = \dfrac{\sum x}{n}
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  7. 7.

    What is 75% of 440?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  8. 8.

    A car travels 608 km in 8 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  9. 9.

    A value changes from 141 to 197. 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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  10. 10.

    Find 2/3 of 27.

    Formula:Fraction of a Quantity
    result=ab×N\text{result} = \dfrac{a}{b} \times N
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  11. 11.

    A value changes from 65 to 234. 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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  12. 12.

    A right-angled triangle has legs of 12 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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  13. 13.

    A circle has a radius of 4 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle
    A=πr2A = \pi r^2
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  14. 14.

    A right-angled triangle has legs of 16 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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  15. 15.

    Find the perimeter of a rectangle measuring 13 m by 4 m.

    Formula:Perimeter of a Rectangle
    P=2(l+w)P = 2(l + w)
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  16. 16.

    One item costs kr 18.33. Find the total cost of 11 items.

    Formula:Total Cost
    total=price×quantity\text{total} = \text{price} \times \text{quantity}
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  17. 17.

    A circle has a radius of 15 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle
    A=πr2A = \pi r^2
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  18. 18.

    Convert 3.35 kilometres into metres.

    Formula:Metric Length Conversion
    1 km=1000 m1\,\text{km} = 1000\,\text{m}
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  19. 19.

    A value changes from 42 to 224. 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 circle has a radius of 4 cm. Find its area. (Use π ≈ 3.14159)

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