Russia · Grade 9 · Practice Sheet 3

1. 1.

   A current of 4.4 A flows through a 57 Ω resistor. Find the voltage across it.

   Formula:Ohm's Law

   $V = I R$

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2. 2.

   A cone has base radius 4 cm and height 11 cm. Find its volume. (π ≈ 3.14159)

   Formula:Volume of a Cone

   $V = \tfrac{1}{3} \pi r^2 h$

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3. 3.

   ₽1,300 is invested at 3% compound interest per annum for 2 years. Find the final amount (to 2 d.p.).

   Formula:Compound Interest

   $A = P\left(1 + \dfrac{r}{100}\right)^{t}$

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4. 4.

   Find the momentum of a 30 kg object moving at 3 m/s.

   Formula:Momentum

   $p = mv$

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5. 5.

   A device runs at 215 V drawing 5.3 A. Find its power consumption.

   Formula:Electrical Power

   $P = V I$

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6. 6.

   A train moves at 58 km/h for 5.5 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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7. 7.

   A circle has a radius of 23 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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8. 8.

   A device runs at 66 V drawing 7.1 A. Find its power consumption.

   Formula:Electrical Power

   $P = V I$

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9. 9.

   ₽115 is shared in the ratio 2 : 3. Find each share.

   Formula:Dividing in a Ratio

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

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10. 10.

    Find the volume of a sphere of radius 12 cm. (π ≈ 3.14159)

    Formula:Volume of a Sphere

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

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11. 11.

    ₽1,800 is invested at 10% simple interest per year for 2 years. Find the interest earned.

    Formula:Simple Interest

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

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12. 12.

    Find the force needed to accelerate a 26 kg mass at 4.6 m/s².

    Formula:Newton's Second Law

    $F = ma$

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13. 13.

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

    Formula:Momentum

    $p = mv$

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14. 14.

    A force of 70 N moves an object 31 m in the direction of the force. Find the work done.

    Formula:Work Done

    $W = F d$

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15. 15.

    A cylinder has radius 6 cm and height 19 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cylinder

    $V = \pi r^2 h$

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16. 16.

    Find the momentum of a 56 kg object moving at 23 m/s.

    Formula:Momentum

    $p = mv$

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17. 17.

    ₽320 is shared in the ratio 3 : 5. Find each share.

    Formula:Dividing in a Ratio

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

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18. 18.

    A wave has frequency 891 Hz and wavelength 4.26 m. Find its speed.

    Formula:Wave Speed

    $v = f\lambda$

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19. 19.

    A device runs at 136 V drawing 1.3 A. Find its power consumption.

    Formula:Electrical Power

    $P = V I$

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20. 20.

    A wave has frequency 805 Hz and wavelength 1.16 m. Find its speed.

    Formula:Wave Speed

    $v = f\lambda$

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