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Ethiopia · Grade 12 · Practice Sheet 29

Sheet code: ETHIOPIA-G12-S29 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    Find the population standard deviation of: 18, 19, 7, 7, 9 (to 2 d.p.).

    Formula:Standard Deviation (Population)
    σ=∑(x−xˉ)2n\sigma = \sqrt{\dfrac{\sum (x - \bar{x})^2}{n}}
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  2. 2.

    A force of 472 N acts on an area of 7.2 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  3. 3.

    Find the population standard deviation of: 19, 8, 13, 19, 20 (to 2 d.p.).

    Formula:Standard Deviation (Population)
    σ=∑(x−xˉ)2n\sigma = \sqrt{\dfrac{\sum (x - \bar{x})^2}{n}}
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  4. 4.

    A wave has frequency 455 Hz and wavelength 2.65 m. Find its speed.

    Formula:Wave Speed
    v=fλv = f\lambda
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  5. 5.

    A 9 kg object moves at 17 m/s. Find its kinetic energy.

    Formula:Kinetic Energy
    KE=12mv2KE = \tfrac{1}{2} m v^2
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  6. 6.

    Br 1,900 is invested at 8% compound interest per annum for 2 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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  7. 7.

    A force of 6 N moves an object 8 m in the direction of the force. Find the work done.

    Formula:Work Done
    W=FdW = F d
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  8. 8.

    A current of 0.7 A flows through a 28 Ω resistor. Find the voltage across it.

    Formula:Ohm's Law
    V=IRV = I R
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  9. 9.

    Find the gravitational potential energy of a 44 kg object raised 10 m. (g = 9.8 m/s²)

    Formula:Gravitational Potential Energy
    PE=mghPE = mgh
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  10. 10.

    A device runs at 147 V drawing 10 A. Find its power consumption.

    Formula:Electrical Power
    P=VIP = V I
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  11. 11.

    Find the force needed to accelerate a 8 kg mass at 5.6 m/s².

    Formula:Newton's Second Law
    F=maF = ma
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  12. 12.

    A cone has base radius 7 cm and height 11 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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  13. 13.

    Br 3,900 is invested at 4% 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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  14. 14.

    A force of 19 N moves an object 9 m in the direction of the force. Find the work done.

    Formula:Work Done
    W=FdW = F d
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  15. 15.

    A body starts at 0 m/s and accelerates at 2.3 m/s² for 11 s. Find its final velocity.

    Formula:Kinematics (v = u + at)
    v=u+atv = u + at
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  16. 16.

    A current of 5 A flows through a 9 Ω resistor. Find the voltage across it.

    Formula:Ohm's Law
    V=IRV = I R
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  17. 17.

    Find the gravitational potential energy of a 15 kg object raised 3 m. (g = 9.8 m/s²)

    Formula:Gravitational Potential Energy
    PE=mghPE = mgh
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  18. 18.

    A cone has base radius 12 cm and height 23 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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  19. 19.

    In a triangle, a = 6, b = 16 and the included angle C = 60°. Find side c (to 2 d.p.).

    Formula:Cosine Rule
    c=a2+b2−2abcos⁡Cc = \sqrt{a^2 + b^2 - 2ab\cos C}
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  20. 20.

    A device runs at 41 V drawing 1 A. Find its power consumption.

    Formula:Electrical Power
    P=VIP = V I
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