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Zambia · Grade 7 · Practice Sheet 14

Sheet code: ZAMBIA-G7-S14 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    A car travels 644 km in 7 hours. Find its average speed.

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

    A rectangle is 23 cm long and 7 cm wide. Find its area.

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

    A right-angled triangle has legs of 14 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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  4. 4.

    One item costs ZK 4.6. Find the total cost of 19 items.

    Formula:Total Cost
    total=price×quantity\text{total} = \text{price} \times \text{quantity}
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  5. 5.

    A car travels 195 km in 5 hours. Find its average speed.

    Formula:Speed
    v=dtv = \dfrac{d}{t}
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  6. 6.

    A circle has a radius of 18 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle
    A=πr2A = \pi r^2
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  7. 7.

    A value changes from 44 to 169. 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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  8. 8.

    A triangle has a base of 22 cm and a height of 12 cm. Find its area.

    Formula:Area of a Triangle
    A=12bhA = \tfrac{1}{2} b h
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  9. 9.

    A right-angled triangle has legs of 20 cm and 15 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  10. 10.

    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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  11. 11.

    ZK 5,000 is invested at 6% 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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  12. 12.

    A right-angled triangle has legs of 12 cm and 3 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  13. 13.

    ZK 175 is shared in the ratio 3 : 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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  14. 14.

    Solve for x: 7x + 5 = 75.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  15. 15.

    ZK 1,300 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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  16. 16.

    A right-angled triangle has legs of 13 cm and 13 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  17. 17.

    One item costs ZK 8.08. Find the total cost of 6 items.

    Formula:Total Cost
    total=price×quantity\text{total} = \text{price} \times \text{quantity}
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  18. 18.

    A value changes from 48 to 245. 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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  19. 19.

    A right-angled triangle has legs of 14 cm and 19 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  20. 20.

    Find 2/3 of 21.

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