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United Arab Emirates · Grade 9 · Practice Sheet 13

Sheet code: UAE-G9-S13 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    Find the circumference of a circle whose radius is 17 m. (Use π ≈ 3.14159)

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

    AED 1,400 is invested at 7.5% 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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  3. 3.

    Find the force needed to accelerate a 36 kg mass at 7.2 m/s².

    Formula:Newton's Second Law
    F=maF = ma
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  4. 4.

    Find the momentum of a 36 kg object moving at 21 m/s.

    Formula:Momentum
    p=mvp = mv
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  5. 5.

    A device runs at 212 V drawing 3.8 A. Find its power consumption.

    Formula:Electrical Power
    P=VIP = V I
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  6. 6.

    A value changes from 52 to 79. 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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  7. 7.

    A device runs at 84 V drawing 3 A. Find its power consumption.

    Formula:Electrical Power
    P=VIP = V I
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  8. 8.

    An object has mass 68 g and volume 8 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  9. 9.

    A force of 38 N moves an object 10 m in the direction of the force. Find the work done.

    Formula:Work Done
    W=FdW = F d
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  10. 10.

    A wave has frequency 515 Hz and wavelength 2.82 m. Find its speed.

    Formula:Wave Speed
    v=fλv = f\lambda
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  11. 11.

    AED 3,000 is invested at 3% compound interest per annum for 3 years. Find the final amount (to 2 d.p.).

    Formula:Compound Interest
    A=P(1+r100)tA = P\left(1 + \dfrac{r}{100}\right)^{t}
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  12. 12.

    An object has mass 14 g and volume 10 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  13. 13.

    AED 2,900 is invested at 6% compound interest per annum for 4 years. Find the final amount (to 2 d.p.).

    Formula:Compound Interest
    A=P(1+r100)tA = P\left(1 + \dfrac{r}{100}\right)^{t}
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  14. 14.

    A force of 154 N acts on an area of 8.2 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  15. 15.

    AED 96 is shared in the ratio 5 : 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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  16. 16.

    AED 3,000 is invested at 5% compound interest per annum for 5 years. Find the final amount (to 2 d.p.).

    Formula:Compound Interest
    A=P(1+r100)tA = P\left(1 + \dfrac{r}{100}\right)^{t}
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  17. 17.

    An object has mass 98.8 g and volume 13 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  18. 18.

    AED 4,900 is invested at 10% 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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  19. 19.

    A cone has base radius 8 cm and height 17 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cone
    V=13πr2hV = \tfrac{1}{3} \pi r^2 h
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  20. 20.

    A value changes from 71 to 157. 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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