Hungary · Grade 10 · Practice Sheet 2

1. 1.

   A population of 5,600 grows 2% per year. Find its size after 5 years (nearest whole number).

   Formula:Exponential Growth

   $N = N_0 (1 + r)^{t}$

   View formula →
2. 2.

   Find the force needed to accelerate a 59 kg mass at 3 m/s².

   Formula:Newton's Second Law

   $F = ma$

   View formula →
3. 3.

   A cylinder has radius 2 cm and height 19 cm. Find its volume. (π ≈ 3.14159)

   Formula:Volume of a Cylinder

   $V = \pi r^2 h$

   View formula →
4. 4.

   Find the force needed to accelerate a 3 kg mass at 8.7 m/s².

   Formula:Newton's Second Law

   $F = ma$

   View formula →
5. 5.

   A force of 172 N acts on an area of 3.1 m². Find the pressure.

   Formula:Pressure

   $P = \dfrac{F}{A}$

   View formula →
6. 6.

   Find the force needed to accelerate a 60 kg mass at 4.8 m/s².

   Formula:Newton's Second Law

   $F = ma$

   View formula →
7. 7.

   Find the momentum of a 34 kg object moving at 27 m/s.

   Formula:Momentum

   $p = mv$

   View formula →
8. 8.

   A body starts at 6 m/s and accelerates at 2.8 m/s² for 10 s. Find its final velocity.

   Formula:Kinematics (v = u + at)

   $v = u + at$

   View formula →
9. 9.

   A force of 199 N acts on an area of 4.8 m². Find the pressure.

   Formula:Pressure

   $P = \dfrac{F}{A}$

   View formula →
10. 10.

    A body starts at 9 m/s and accelerates at 1.9 m/s² for 10 s. Find its final velocity.

    Formula:Kinematics (v = u + at)

    $v = u + at$

    View formula →
11. 11.

    A current of 7.1 A flows through a 4 Ω resistor. Find the voltage across it.

    Formula:Ohm's Law

    $V = I R$

    View formula →
12. 12.

    A triangle has sides a = 6 cm and b = 12 cm with an included angle C = 90°. Find its area (to 2 d.p.).

    Formula:Area of a Triangle (Sine Rule)

    $A = \tfrac{1}{2} ab\sin C$

    View formula →
13. 13.

    Ft 500 is invested at 5% simple interest per year for 5 years. Find the interest earned.

    Formula:Simple Interest

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

    View formula →
14. 14.

    A body starts at 3 m/s and accelerates at 5.6 m/s² for 3 s. Find its final velocity.

    Formula:Kinematics (v = u + at)

    $v = u + at$

    View formula →
15. 15.

    Find the force needed to accelerate a 19 kg mass at 0.6 m/s².

    Formula:Newton's Second Law

    $F = ma$

    View formula →
16. 16.

    A cone has base radius 11 cm and height 5 cm. Find its volume. (π ≈ 3.14159)

    Formula:Volume of a Cone

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

    View formula →
17. 17.

    A population of 5,900 grows 5% per year. Find its size after 6 years (nearest whole number).

    Formula:Exponential Growth

    $N = N_0 (1 + r)^{t}$

    View formula →
18. 18.

    A wave has frequency 51 Hz and wavelength 2.89 m. Find its speed.

    Formula:Wave Speed

    $v = f\lambda$

    View formula →
19. 19.

    Solve for x: 3x + 3 = 33.

    Formula:Solving a Linear Equation

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

    View formula →
20. 20.

    Find the gravitational potential energy of a 41 kg object raised 36 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.