Philippines · Grade 9 · Practice Sheet 4

1. 1.

   A right-angled triangle has legs of 12 cm and 7 cm. Find the length of the hypotenuse.

   Formula:Pythagorean Theorem

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

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2. 2.

   A car travels 96 km in 2 hours. Find its average speed.

   Formula:Speed

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

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3. 3.

   A 40 kg object moves at 19 m/s. Find its kinetic energy.

   Formula:Kinetic Energy

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

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4. 4.

   A circle has a radius of 11 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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5. 5.

   A train moves at 42 km/h for 3.8 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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6. 6.

   A cylinder has radius 3 cm and height 18 cm. Find its volume. (π ≈ 3.14159)

   Formula:Volume of a Cylinder

   $V = \pi r^2 h$

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7. 7.

   Find the force needed to accelerate a 10 kg mass at 3.3 m/s².

   Formula:Newton's Second Law

   $F = ma$

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8. 8.

   A force of 48 N moves an object 4 m in the direction of the force. Find the work done.

   Formula:Work Done

   $W = F d$

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9. 9.

   A wave has frequency 110 Hz and wavelength 0.6 m. Find its speed.

   Formula:Wave Speed

   $v = f\lambda$

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10. 10.

    A bag has 12 equally likely marbles, of which 5 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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11. 11.

    Find the momentum of a 57 kg object moving at 8 m/s.

    Formula:Momentum

    $p = mv$

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12. 12.

    Solve for x: 2x + 9 = 17.

    Formula:Solving a Linear Equation

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

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13. 13.

    Find the force needed to accelerate a 34 kg mass at 2.6 m/s².

    Formula:Newton's Second Law

    $F = ma$

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14. 14.

    A current of 3.2 A flows through a 31 Ω resistor. Find the voltage across it.

    Formula:Ohm's Law

    $V = I R$

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15. 15.

    A value changes from 137 to 206. 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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16. 16.

    A device runs at 218 V drawing 6.2 A. Find its power consumption.

    Formula:Electrical Power

    $P = V I$

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17. 17.

    Find the momentum of a 49 kg object moving at 13 m/s.

    Formula:Momentum

    $p = mv$

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18. 18.

    A wave has frequency 52 Hz and wavelength 0.67 m. Find its speed.

    Formula:Wave Speed

    $v = f\lambda$

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19. 19.

    A circle has a radius of 14 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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20. 20.

    A force of 16 N moves an object 8 m in the direction of the force. Find the work done.

    Formula:Work Done

    $W = F d$

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