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Bahrain · Grade 11 · Practice Sheet 45

Sheet code: BAHRAIN-G11-S45 · 20 questions

Name: ______________
Date: ______________
  1. 1.

    Find the sum of the first 16 terms of an arithmetic series with first term a = 4 and common difference d = 3.

    Formula:Sum of an Arithmetic Series
    Sn=n2(2a+(n1)d)S_n = \tfrac{n}{2}\left(2a + (n-1)d\right)
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  2. 2.

    Find the sum of the first 7 terms of a geometric series with first term a = 3 and common ratio r = 4.

    Formula:Sum of a Geometric Series
    Sn=a(rn1)r1S_n = \dfrac{a(r^{n} - 1)}{r - 1}
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  3. 3.

    An object has mass 105 g and volume 35 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  4. 4.

    Find the sum of the first 16 terms of an arithmetic series with first term a = 4 and common difference d = 8.

    Formula:Sum of an Arithmetic Series
    Sn=n2(2a+(n1)d)S_n = \tfrac{n}{2}\left(2a + (n-1)d\right)
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  5. 5.

    A device runs at 32 V drawing 9.6 A. Find its power consumption.

    Formula:Electrical Power
    P=VIP = V I
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  6. 6.

    A force of 248 N acts on an area of 5.1 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  7. 7.

    An object has mass 167.4 g and volume 31 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  8. 8.

    A device runs at 169 V drawing 1.1 A. Find its power consumption.

    Formula:Electrical Power
    P=VIP = V I
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  9. 9.

    A body starts at 15 m/s and accelerates at 5.1 m/s² for 11 s. Find its final velocity.

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

    Find the force needed to accelerate a 23 kg mass at 5.8 m/s².

    Formula:Newton's Second Law
    F=maF = ma
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  11. 11.

    A body starts at 15 m/s and accelerates at 1.3 m/s² for 9 s. Find its final velocity.

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

    Find the gravitational potential energy of a 45 kg object raised 31 m. (g = 9.8 m/s²)

    Formula:Gravitational Potential Energy
    PE=mghPE = mgh
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  13. 13.

    In a triangle, a = 14, b = 8 and the included angle C = 70°. Find side c (to 2 d.p.).

    Formula:Cosine Rule
    c=a2+b22abcosCc = \sqrt{a^2 + b^2 - 2ab\cos C}
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  14. 14.

    A device runs at 78 V drawing 0.7 A. Find its power consumption.

    Formula:Electrical Power
    P=VIP = V I
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  15. 15.

    A body starts at 12 m/s and accelerates at 5.2 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 device runs at 215 V drawing 9.9 A. Find its power consumption.

    Formula:Electrical Power
    P=VIP = V I
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  17. 17.

    In a triangle, a = 8, b = 5 and the included angle C = 100°. Find side c (to 2 d.p.).

    Formula:Cosine Rule
    c=a2+b22abcosCc = \sqrt{a^2 + b^2 - 2ab\cos C}
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  18. 18.

    An object has mass 93.6 g and volume 18 cm³. Find its density.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  19. 19.

    An object with initial velocity 1 m/s accelerates at 3.6 m/s² for 4 s. Find the distance travelled.

    Formula:Kinematics (s = ut + ½at²)
    s=ut+12at2s = ut + \tfrac{1}{2}at^2
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  20. 20.

    A force of 17 N moves an object 22 m in the direction of the force. Find the work done.

    Formula:Work Done
    W=FdW = F d
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