Lebanon · Grade 9 · Practice Sheet 24

1. 1.

   A car travels 330 km in 3 hours. Find its average speed.

   Formula:Speed

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

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2. 2.

   A device runs at 187 V drawing 3.2 A. Find its power consumption.

   Formula:Electrical Power

   $P = V I$

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3. 3.

   A bag has 8 equally likely marbles, of which 3 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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4. 4.

   A car travels 376 km in 4 hours. Find its average speed.

   Formula:Speed

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

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5. 5.

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

   Formula:Pythagorean Theorem

   $c = \sqrt{a^2 + b^2}$

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6. 6.

   Find the gravitational potential energy of a 4 kg object raised 27 m. (g = 9.8 m/s²)

   Formula:Gravitational Potential Energy

   $PE = mgh$

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7. 7.

   A device runs at 159 V drawing 6 A. Find its power consumption.

   Formula:Electrical Power

   $P = V I$

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8. 8.

   A train moves at 65 km/h for 2.8 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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9. 9.

   Find the momentum of a 12 kg object moving at 11 m/s.

   Formula:Momentum

   $p = mv$

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10. 10.

    A device runs at 36 V drawing 2.8 A. Find its power consumption.

    Formula:Electrical Power

    $P = V I$

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11. 11.

    LL 120 is shared in the ratio 1 : 4. Find each share.

    Formula:Dividing in a Ratio

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

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12. 12.

    Solve for x: 8x + 18 = 50.

    Formula:Solving a Linear Equation

    $x = \dfrac{c - b}{a}$

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13. 13.

    An object has mass 138 g and volume 30 cm³. Find its density.

    Formula:Density

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

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14. 14.

    A device runs at 77 V drawing 1.8 A. Find its power consumption.

    Formula:Electrical Power

    $P = V I$

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15. 15.

    A 40 kg object moves at 25 m/s. Find its kinetic energy.

    Formula:Kinetic Energy

    $KE = \tfrac{1}{2} m v^2$

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16. 16.

    A circle has a radius of 3 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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17. 17.

    Find the momentum of a 46 kg object moving at 23 m/s.

    Formula:Momentum

    $p = mv$

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18. 18.

    Solve for x: 7x + 12 = 33.

    Formula:Solving a Linear Equation

    $x = \dfrac{c - b}{a}$

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19. 19.

    A wave has frequency 724 Hz and wavelength 2.84 m. Find its speed.

    Formula:Wave Speed

    $v = f\lambda$

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20. 20.

    An object has mass 124.8 g and volume 24 cm³. Find its density.

    Formula:Density

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

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