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United Arab Emirates · Grade 11 · Practice Sheet 28

Sheet code: UAE-G11-S28 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    Solve using the quadratic formula: x² − 8x + 12 = 0.

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

    Find the gravitational potential energy of a 37 kg object raised 3 m. (g = 9.8 m/s²)

    Formula:Gravitational Potential Energy
    PE=mghPE = mgh
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  3. 3.

    A current of 2.8 A flows through a 16 Ω resistor. Find the voltage across it.

    Formula:Ohm's Law
    V=IRV = I R
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  4. 4.

    Find the volume of a sphere of radius 7 cm. (π ≈ 3.14159)

    Formula:Volume of a Sphere
    V=43πr3V = \tfrac{4}{3} \pi r^3
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  5. 5.

    Find the force needed to accelerate a 22 kg mass at 6.3 m/s².

    Formula:Newton's Second Law
    F=maF = ma
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  6. 6.

    Find the sum of the first 9 terms of an arithmetic series with first term a = 8 and common difference d = 7.

    Formula:Sum of an Arithmetic Series
    Sn=n2(2a+(n−1)d)S_n = \tfrac{n}{2}\left(2a + (n-1)d\right)
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  7. 7.

    Find the gravitational potential energy of a 10 kg object raised 2 m. (g = 9.8 m/s²)

    Formula:Gravitational Potential Energy
    PE=mghPE = mgh
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  8. 8.

    Two masses 1,300 kg and 110 kg are 5 m apart. Find the gravitational force between them. (G = 6.674×10⁻¹¹)

    Formula:Newton’s Law of Gravitation
    F=Gm1m2r2F = G\dfrac{m_1 m_2}{r^2}
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  9. 9.

    Find the gravitational potential energy of a 44 kg object raised 18 m. (g = 9.8 m/s²)

    Formula:Gravitational Potential Energy
    PE=mghPE = mgh
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  10. 10.

    A current of 6.1 A flows through a 49 Ω resistor. Find the voltage across it.

    Formula:Ohm's Law
    V=IRV = I R
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  11. 11.

    A force of 80 N acts on an area of 1.1 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  12. 12.

    A body starts at 13 m/s and accelerates at 2.6 m/s² for 2 s. Find its final velocity.

    Formula:Kinematics (v = u + at)
    v=u+atv = u + at
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  13. 13.

    Find the gravitational potential energy of a 37 kg object raised 30 m. (g = 9.8 m/s²)

    Formula:Gravitational Potential Energy
    PE=mghPE = mgh
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  14. 14.

    Solve using the quadratic formula: x² − 1x − 30 = 0.

    Formula:Quadratic Formula
    x=−b±b2−4ac2ax = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}
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  15. 15.

    A wave has frequency 668 Hz and wavelength 1.23 m. Find its speed.

    Formula:Wave Speed
    v=fλv = f\lambda
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  16. 16.

    Find the force needed to accelerate a 2 kg mass at 8.8 m/s².

    Formula:Newton's Second Law
    F=maF = ma
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  17. 17.

    AED 3,000 is invested at 6% compound interest per annum for 4 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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  18. 18.

    Solve using the quadratic formula: x² + 3x + 2 = 0.

    Formula:Quadratic Formula
    x=−b±b2−4ac2ax = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}
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  19. 19.

    Find the force needed to accelerate a 55 kg mass at 5.5 m/s².

    Formula:Newton's Second Law
    F=maF = ma
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  20. 20.

    Solve using the quadratic formula: x² − 1x − 2 = 0.

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