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Japan · Grade 7 · Practice Sheet 10

Sheet code: JAPAN-G7-S10 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    One item costs ¥9.58. Find the total cost of 4 items.

    Formula:Total Cost
    total=price×quantity\text{total} = \text{price} \times \text{quantity}
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  2. 2.

    Convert 4.69 kilometres into metres.

    Formula:Metric Length Conversion
    1 km=1000 m1\,\text{km} = 1000\,\text{m}
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  3. 3.

    A bag has 12 equally likely marbles, of which 11 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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  4. 4.

    Find the circumference of a circle whose radius is 18 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle
    C=2πrC = 2\pi r
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  5. 5.

    A right-angled triangle has legs of 15 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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  6. 6.

    One item costs ¥5.34. Find the total cost of 7 items.

    Formula:Total Cost
    total=price×quantity\text{total} = \text{price} \times \text{quantity}
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  7. 7.

    A rectangle is 4 cm long and 29 cm wide. Find its area.

    Formula:Area of a Rectangle
    A=l×wA = l \times w
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  8. 8.

    A right-angled triangle has legs of 20 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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  9. 9.

    A rectangle is 25 cm long and 5 cm wide. Find its area.

    Formula:Area of a Rectangle
    A=l×wA = l \times w
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  10. 10.

    A car travels 528 km in 8 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  11. 11.

    ¥224 is shared in the ratio 4 : 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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  12. 12.

    Find the area of a square with side length 19 cm.

    Formula:Area of a Square
    A=s2A = s^2
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  13. 13.

    A value changes from 96 to 77. 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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  14. 14.

    A car travels 260 km in 5 hours. Find its average speed.

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

    A value changes from 102 to 116. 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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  16. 16.

    A right-angled triangle has legs of 15 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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  17. 17.

    Convert 6.83 kilometres into metres.

    Formula:Metric Length Conversion
    1 km=1000 m1\,\text{km} = 1000\,\text{m}
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  18. 18.

    Find 3/8 of 104.

    Formula:Fraction of a Quantity
    result=ab×N\text{result} = \dfrac{a}{b} \times N
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  19. 19.

    A value changes from 134 to 110. 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 20 cm. Find its area. (Use π ≈ 3.14159)

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