Ghana · Grade 9 · Practice Sheet 4

1. 1.

   Find the circumference of a circle whose radius is 16 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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2. 2.

   A wave has frequency 680 Hz and wavelength 4.02 m. Find its speed.

   Formula:Wave Speed

   $v = f\lambda$

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3. 3.

   A value changes from 116 to 99. Find the percentage change (to 2 d.p.).

   Formula:Percentage Change

   $\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100$

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4. 4.

   A device runs at 68 V drawing 5.9 A. Find its power consumption.

   Formula:Electrical Power

   $P = V I$

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5. 5.

   A bag has 22 equally likely marbles, of which 11 are red. Find the probability of drawing a red marble (to 3 d.p.).

   Formula:Simple Probability

   $P(E) = \dfrac{\text{favourable}}{\text{total}}$

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6. 6.

   A wave has frequency 750 Hz and wavelength 4.3 m. Find its speed.

   Formula:Wave Speed

   $v = f\lambda$

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7. 7.

   Find the momentum of a 22 kg object moving at 24 m/s.

   Formula:Momentum

   $p = mv$

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8. 8.

   A current of 2.6 A flows through a 49 Ω resistor. Find the voltage across it.

   Formula:Ohm's Law

   $V = I R$

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9. 9.

   A wave has frequency 860 Hz and wavelength 3.42 m. Find its speed.

   Formula:Wave Speed

   $v = f\lambda$

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10. 10.

    GH₵ 224 is shared in the ratio 5 : 3. Find each share.

    Formula:Dividing in a Ratio

    $\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T$

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11. 11.

    Find the force needed to accelerate a 10 kg mass at 5.3 m/s².

    Formula:Newton's Second Law

    $F = ma$

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12. 12.

    An object has mass 129.8 g and volume 22 cm³. Find its density.

    Formula:Density

    $\rho = \dfrac{m}{V}$

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13. 13.

    A car travels 255 km in 5 hours. Find its average speed.

    Formula:Speed

    $v = \dfrac{d}{t}$

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14. 14.

    A train moves at 92 km/h for 4 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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15. 15.

    Find the volume of a sphere of radius 2 cm. (π ≈ 3.14159)

    Formula:Volume of a Sphere

    $V = \tfrac{4}{3} \pi r^3$

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16. 16.

    Find the momentum of a 8 kg object moving at 11 m/s.

    Formula:Momentum

    $p = mv$

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17. 17.

    GH₵ 1,100 is invested at 8% simple interest per year for 4 years. Find the interest earned.

    Formula:Simple Interest

    $I = \dfrac{P \times r \times t}{100}$

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18. 18.

    A force of 43 N moves an object 38 m in the direction of the force. Find the work done.

    Formula:Work Done

    $W = F d$

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19. 19.

    Find the force needed to accelerate a 16 kg mass at 6.5 m/s².

    Formula:Newton's Second Law

    $F = ma$

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20. 20.

    A train moves at 76 km/h for 5 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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