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A-Level Physics · Practice Sheet 18

Sheet code: A-LEVEL-PHYSICS-S18 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Mathematics

    Evaluate log base 10 of 1,000.

    Formula:Logarithm Evaluation
    log⁡b(bk)=k\log_{b}(b^{k}) = k
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  2. 2.
    Mathematics

    Find the binomial coefficient C(8, 3) — the coefficient of x^3 in (1 + x)^8.

    Formula:Binomial Coefficient
    (nr)=n!r! (n−r)!\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}
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  3. 3.
    Physics

    Find the density of an object with mass 177 g and volume 36 cm³.

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

    A constant force of 150 N moves an object 37 m in the direction of the force. Calculate the work done.

    Formula:Work Done
    W=F dW = F\,d
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  5. 5.
    Physics

    Find the kinetic energy of a 7 kg object moving at 24 m/s.

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

    Evaluate ∫ from 0 to 5 of 1x^3 dx.

    Formula:Definite Integral of a Power
    ∫pqaxn dx=an+1[xn+1]pq\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}
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  7. 7.
    Physics

    Find the density of an object with mass 169 g and volume 41 cm³.

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

    In an arithmetic progression with first term 2 and common difference 2, find term number 9.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  9. 9.
    Physics

    Find the density of an object with mass 418 g and volume 45 cm³.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  10. 10.
    Physics

    Find the momentum of a 21 kg body moving at 21 m/s.

    Formula:Linear Momentum
    p=mvp = mv
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  11. 11.
    Physics

    A constant force of 114 N moves an object 4 m in the direction of the force. Calculate the work done.

    Formula:Work Done
    W=F dW = F\,d
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  12. 12.
    Physics

    Find the density of an object with mass 390 g and volume 19 cm³.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  13. 13.
    Physics

    Find the force required to accelerate a 4 kg mass at 9 m/s².

    Formula:Newton's Second Law (F = ma)
    F=maF = ma
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  14. 14.
    Mathematics

    Find the sum of the first 8 terms of an AP with first term 19 and common difference 9.

    Formula:AP Sum of n Terms
    Sn=n2 [2a+(n−1)d]S_n = \dfrac{n}{2}\,[2a+(n-1)d]
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  15. 15.
    Mathematics

    For the quadratic 5x² + 0x + 1 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)
    α+β=−ba,  αβ=ca\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}
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  16. 16.
    Mathematics

    Find the slope of the line through (-6, 6) and (-1, -8).

    Formula:Slope of a Line
    m=y2−y1x2−x1m = \dfrac{y_2-y_1}{x_2-x_1}
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  17. 17.
    Physics

    If 3,775 J of work is done in 26 s, find the power.

    Formula:Power
    P=WtP = \dfrac{W}{t}
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  18. 18.
    Physics

    Find the density of an object with mass 387 g and volume 38 cm³.

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

    Find the distance between the points (-4, 4) and (3, -5).

    Formula:Distance Between Two Points
    d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
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  20. 20.
    Mathematics

    In an arithmetic progression with first term 12 and common difference 6, find term number 27.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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