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Japan · Grade 7 · Practice Sheet 25

Sheet code: JAPAN-G7-S25 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    One item costs ¥7.35. Find the total cost of 5 items.

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

    A rectangle is 23 cm long and 10 cm wide. Find its area.

    Formula:Area of a Rectangle
    A=l×wA = l \times w
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  3. 3.

    ¥2,600 is invested at 10% simple interest per year for 6 years. Find the interest earned.

    Formula:Simple Interest
    I=P×r×t100I = \dfrac{P \times r \times t}{100}
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  4. 4.

    ¥162 is shared in the ratio 3 : 3. 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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  5. 5.

    What is 50% of 190?

    Formula:Percentage of a Quantity
    result=p100×N\text{result} = \dfrac{p}{100} \times N
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  6. 6.

    Solve for x: 4x + 16 = 52.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  7. 7.

    A bag has 15 equally likely marbles, of which 6 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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  8. 8.

    A rectangle is 25 cm long and 14 cm wide. Find its area.

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

    A car travels 225 km in 5 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  10. 10.

    One item costs ¥3.26. Find the total cost of 6 items.

    Formula:Total Cost
    total=price×quantity\text{total} = \text{price} \times \text{quantity}
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  11. 11.

    A value changes from 121 to 189. 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.

    Solve for x: 8x + 11 = 67.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  13. 13.

    Convert 3.28 kilometres into metres.

    Formula:Metric Length Conversion
    1 km=1000 m1\,\text{km} = 1000\,\text{m}
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  14. 14.

    A right-angled triangle has legs of 3 cm and 16 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  15. 15.

    A value changes from 146 to 181. 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.

    Convert 1.98 kilometres into metres.

    Formula:Metric Length Conversion
    1 km=1000 m1\,\text{km} = 1000\,\text{m}
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  17. 17.

    ¥3,400 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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  18. 18.

    Find the perimeter of a rectangle measuring 27 m by 10 m.

    Formula:Perimeter of a Rectangle
    P=2(l+w)P = 2(l + w)
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  19. 19.

    ¥1,600 is invested at 4% simple interest per year for 4 years. Find the interest earned.

    Formula:Simple Interest
    I=P×r×t100I = \dfrac{P \times r \times t}{100}
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  20. 20.

    A right-angled triangle has legs of 14 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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