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Jordan · Grade 7 · Practice Sheet 30

Sheet code: JORDAN-G7-S30 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    Find the area of a square with side length 20 cm.

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

    Find 1/5 of 30.

    Formula:Fraction of a Quantity
    result=ab×N\text{result} = \dfrac{a}{b} \times N
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  3. 3.

    A bag has 25 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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  4. 4.

    A value changes from 160 to 155. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100
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  5. 5.

    Convert 4.08 kilometres into metres.

    Formula:Metric Length Conversion
    1km=1000m1\,\text{km} = 1000\,\text{m}
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  6. 6.

    Find 4/8 of 64.

    Formula:Fraction of a Quantity
    result=ab×N\text{result} = \dfrac{a}{b} \times N
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  7. 7.

    Find the perimeter of a rectangle measuring 30 m by 16 m.

    Formula:Perimeter of a Rectangle
    P=2(l+w)P = 2(l + w)
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  8. 8.

    A triangle has a base of 23 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 circle has a radius of 8 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle
    A=πr2A = \pi r^2
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  10. 10.

    A right-angled triangle has legs of 7 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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  11. 11.

    Find the perimeter of a rectangle measuring 30 m by 13 m.

    Formula:Perimeter of a Rectangle
    P=2(l+w)P = 2(l + w)
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  12. 12.

    JD 85 is shared in the ratio 2 : 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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  13. 13.

    Find the mean (average) of these numbers: 87, 57, 52, 79.

    Formula:Arithmetic Mean
    xˉ=xn\bar{x} = \dfrac{\sum x}{n}
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  14. 14.

    Solve for x: 2x + 18 = 30.

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

    A right-angled triangle has legs of 10 cm and 17 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  16. 16.

    JD 2,000 is invested at 4% 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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  17. 17.

    Find the area of a square with side length 9 cm.

    Formula:Area of a Square
    A=s2A = s^2
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  18. 18.

    Find the perimeter of a rectangle measuring 36 m by 25 m.

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

    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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  20. 20.

    A value changes from 131 to 148. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change
    %change=newoldold×100\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100
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