India · Class 9 · Practice Sheet 17

1. 1.

   A device runs at 141 V drawing 3.3 A. Find its power consumption.

   Formula:Electrical Power

   $P = V I$

   View formula →
2. 2.

   A wave has frequency 553 Hz and wavelength 0.8 m. Find its speed.

   Formula:Wave Speed

   $v = f\lambda$

   View formula →
3. 3.

   Solve for x: 4x + 6 = 18.

   Formula:Solving a Linear Equation

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

   View formula →
4. 4.

   Find the force needed to accelerate a 32 kg mass at 2.5 m/s².

   Formula:Newton's Second Law

   $F = ma$

   View formula →
5. 5.

   A circle has a radius of 12 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

   View formula →
6. 6.

   Find the force needed to accelerate a 15 kg mass at 7.1 m/s².

   Formula:Newton's Second Law

   $F = ma$

   View formula →
7. 7.

   Find the momentum of a 22 kg object moving at 3 m/s.

   Formula:Momentum

   $p = mv$

   View formula →
8. 8.

   Find the gravitational potential energy of a 47 kg object raised 9 m. (g = 9.8 m/s²)

   Formula:Gravitational Potential Energy

   $PE = mgh$

   View formula →
9. 9.

   Solve for x: 9x + 4 = 67.

   Formula:Solving a Linear Equation

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

   View formula →
10. 10.

    A bag has 22 equally likely marbles, of which 4 are red. Find the probability of drawing a red marble (to 3 d.p.).

    Formula:Simple Probability

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

    View formula →
11. 11.

    Solve for x: 8x + 8 = 104.

    Formula:Solving a Linear Equation

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

    View formula →
12. 12.

    A train moves at 43 km/h for 1.7 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

    View formula →
13. 13.

    A device runs at 151 V drawing 8.3 A. Find its power consumption.

    Formula:Electrical Power

    $P = V I$

    View formula →
14. 14.

    Find the volume of a sphere of radius 6 cm. (π ≈ 3.14159)

    Formula:Volume of a Sphere

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

    View formula →
15. 15.

    ₹1,400 is invested at 3% compound interest per annum for 4 years. Find the final amount (to 2 d.p.).

    Formula:Compound Interest

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

    View formula →
16. 16.

    ₹1,900 is invested at 3% simple interest per year for 3 years. Find the interest earned.

    Formula:Simple Interest

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

    View formula →
17. 17.

    A device runs at 208 V drawing 0.2 A. Find its power consumption.

    Formula:Electrical Power

    $P = V I$

    View formula →
18. 18.

    Find the force needed to accelerate a 49 kg mass at 5.5 m/s².

    Formula:Newton's Second Law

    $F = ma$

    View formula →
19. 19.

    A value changes from 20 to 25. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change

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

    View formula →
20. 20.

    Find the gravitational potential energy of a 50 kg object raised 28 m. (g = 9.8 m/s²)

    Formula:Gravitational Potential Energy

    $PE = mgh$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.