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Poland · Klasa 10 · Practice Sheet 14

Sheet code: POLAND-G10-S14 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    Solve using the quadratic formula: x² + 5x + 6 = 0.

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

    Solve for x: 7x + 3 = 45.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  3. 3.

    A force of 120 N moves an object 16 m in the direction of the force. Find the work done.

    Formula:Work Done
    W=FdW = F d
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  4. 4.

    A right-angled triangle has legs of 8 cm and 8 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem
    c=a2+b2c = \sqrt{a^2 + b^2}
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  5. 5.

    A 35 kg object moves at 20 m/s. Find its kinetic energy.

    Formula:Kinetic Energy
    KE=12mv2KE = \tfrac{1}{2} m v^2
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  6. 6.

    Solve for x: 5x + 12 = 47.

    Formula:Solving a Linear Equation
    x=c−bax = \dfrac{c - b}{a}
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  7. 7.

    Find the momentum of a 1 kg object moving at 4 m/s.

    Formula:Momentum
    p=mvp = mv
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  8. 8.

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

    Formula:Quadratic Formula
    x=−b±b2−4ac2ax = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}
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  9. 9.

    Find the momentum of a 14 kg object moving at 8 m/s.

    Formula:Momentum
    p=mvp = mv
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  10. 10.

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

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

    A body starts at 0 m/s and accelerates at 5.2 m/s² for 6 s. Find its final velocity.

    Formula:Kinematics (v = u + at)
    v=u+atv = u + at
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  12. 12.

    A force of 31 N moves an object 9 m in the direction of the force. Find the work done.

    Formula:Work Done
    W=FdW = F d
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  13. 13.

    A triangle has sides a = 15 cm and b = 5 cm with an included angle C = 90°. 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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  14. 14.

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

    Formula:Volume of a Sphere
    V=43πr3V = \tfrac{4}{3} \pi r^3
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  15. 15.

    Find the force needed to accelerate a 36 kg mass at 4.3 m/s².

    Formula:Newton's Second Law
    F=maF = ma
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  16. 16.

    In a triangle, a = 14, b = 7 and the included angle C = 70°. 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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  17. 17.

    A body starts at 3 m/s and accelerates at 2.4 m/s² for 10 s. Find its final velocity.

    Formula:Kinematics (v = u + at)
    v=u+atv = u + at
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  18. 18.

    A force of 91 N moves an object 11 m in the direction of the force. Find the work done.

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

    A population of 6,900 grows 10% per year. Find its size after 6 years (nearest whole number).

    Formula:Exponential Growth
    N=N0(1+r)tN = N_0 (1 + r)^{t}
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  20. 20.

    In a triangle, a = 18, b = 9 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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