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Poland · Klasa 12 · Practice Sheet 42

Sheet code: POLAND-G12-S42 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    Find the force needed to accelerate a 41 kg mass at 7.4 m/s².

    Formula:Newton's Second Law
    F=maF = ma
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  2. 2.

    Solve using the quadratic formula: x² − 5x + 4 = 0.

    Formula:Quadratic Formula
    x=−b±b2−4ac2ax = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}
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  3. 3.

    A body starts at 17 m/s and accelerates at 4.4 m/s² for 4 s. Find its final velocity.

    Formula:Kinematics (v = u + at)
    v=u+atv = u + at
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  4. 4.

    Find the momentum of a 44 kg object moving at 24 m/s.

    Formula:Momentum
    p=mvp = mv
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  5. 5.

    A force of 106 N acts on an area of 4.2 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  6. 6.

    A wave has frequency 216 Hz and wavelength 1.12 m. Find its speed.

    Formula:Wave Speed
    v=fλv = f\lambda
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  7. 7.

    A triangle has sides a = 17 cm and b = 5 cm with an included angle C = 120°. Find its area (to 2 d.p.).

    Formula:Area of a Triangle (Sine Rule)
    A=12absin⁡CA = \tfrac{1}{2} ab\sin C
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  8. 8.

    In a triangle, a = 5, b = 12 and the included angle C = 50°. Find side c (to 2 d.p.).

    Formula:Cosine Rule
    c=a2+b2−2abcos⁡Cc = \sqrt{a^2 + b^2 - 2ab\cos C}
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  9. 9.

    A body starts at 2 m/s and accelerates at 5.7 m/s² for 12 s. Find its final velocity.

    Formula:Kinematics (v = u + at)
    v=u+atv = u + at
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  10. 10.

    Solve using the quadratic formula: x² + 0x − 16 = 0.

    Formula:Quadratic Formula
    x=−b±b2−4ac2ax = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}
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  11. 11.

    In a triangle, a = 18, b = 13 and the included angle C = 50°. Find side c (to 2 d.p.).

    Formula:Cosine Rule
    c=a2+b2−2abcos⁡Cc = \sqrt{a^2 + b^2 - 2ab\cos C}
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  12. 12.

    A force of 429 N acts on an area of 5.8 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  13. 13.

    zł 1,800 is invested at 8% compound interest per annum for 5 years. Find the final amount (to 2 d.p.).

    Formula:Compound Interest
    A=P(1+r100)tA = P\left(1 + \dfrac{r}{100}\right)^{t}
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  14. 14.

    In a triangle, a = 17, b = 8 and the included angle C = 110°. Find side c (to 2 d.p.).

    Formula:Cosine Rule
    c=a2+b2−2abcos⁡Cc = \sqrt{a^2 + b^2 - 2ab\cos C}
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  15. 15.

    A body starts at 18 m/s and accelerates at 5 m/s² for 7 s. Find its final velocity.

    Formula:Kinematics (v = u + at)
    v=u+atv = u + at
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  16. 16.

    A triangle has sides a = 17 cm and b = 8 cm with an included angle C = 120°. Find its area (to 2 d.p.).

    Formula:Area of a Triangle (Sine Rule)
    A=12absin⁡CA = \tfrac{1}{2} ab\sin C
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  17. 17.

    A force of 497 N acts on an area of 1.9 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  18. 18.

    A force of 21 N moves an object 10 m in the direction of the force. Find the work done.

    Formula:Work Done
    W=FdW = F d
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  19. 19.

    In a triangle, a = 5, b = 15 and the included angle C = 80°. Find side c (to 2 d.p.).

    Formula:Cosine Rule
    c=a2+b2−2abcos⁡Cc = \sqrt{a^2 + b^2 - 2ab\cos C}
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  20. 20.

    Find the population standard deviation of: 8, 5, 2, 14, 17 (to 2 d.p.).

    Formula:Standard Deviation (Population)
    σ=∑(x−xˉ)2n\sigma = \sqrt{\dfrac{\sum (x - \bar{x})^2}{n}}
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