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Engineering Entrance · Practice Sheet 36

Sheet code: UAE-ENGINEERING-S36 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Chemistry

    Find the molarity of a solution containing 2.5 mol of solute in 2 L of solution.

    Formula:Molarity
    M=nVM = \dfrac{n}{V}
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  2. 2.
    Mathematics

    Find term number 3 of a geometric progression with first term 6 and common ratio 3.

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
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  3. 3.
    Mathematics

    Find the sum of the first 3 terms of a GP with first term 3 and common ratio 2.

    Formula:GP Sum of n Terms
    Sn=a rn−1r−1S_n = a\,\dfrac{r^{n}-1}{r-1}
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  4. 4.
    Physics

    Calculate the potential energy of a 50 kg object at a height of 22 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy
    PE=mghPE = mgh
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  5. 5.
    Physics

    If 509 J of work is done in 23 s, find the power.

    Formula:Power
    P=WtP = \dfrac{W}{t}
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  6. 6.
    Mathematics

    If f(x) = 5x³ + 3x² + 3x, find f′(4).

    Formula:Derivative of a Polynomial
    ddxxn=n x n−1\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}
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  7. 7.
    Mathematics

    Find the distance between the points (-1, -3) and (-5, 8).

    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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  8. 8.
    Physics

    A constant force of 126 N moves an object 8 m in the direction of the force. Calculate the work done.

    Formula:Work Done
    W=F dW = F\,d
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  9. 9.
    Physics

    Find the kinetic energy of a 12 kg object moving at 19 m/s.

    Formula:Kinetic Energy
    KE=12mv2KE = \tfrac{1}{2}mv^{2}
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  10. 10.
    Physics

    A projectile is launched at 38 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).

    Formula:Projectile Range
    R=u2sin⁡2θgR = \dfrac{u^{2}\sin 2\theta}{g}
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  11. 11.
    Physics

    If 1,224 J of work is done in 47 s, find the power.

    Formula:Power
    P=WtP = \dfrac{W}{t}
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  12. 12.
    Mathematics

    In an arithmetic progression with first term 7 and common difference 2, find term number 10.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  13. 13.
    Mathematics

    Evaluate log base 2 of 4.

    Formula:Logarithm Evaluation
    log⁡b(bk)=k\log_{b}(b^{k}) = k
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  14. 14.
    Mathematics

    In an arithmetic progression with first term 11 and common difference 1, find term number 27.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  15. 15.
    Physics

    A force of 161 N acts on an area of 42 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  16. 16.
    Physics

    Find the density of an object with mass 288 g and volume 35 cm³.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
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  17. 17.
    Mathematics

    In an arithmetic progression with first term 16 and common difference 8, find term number 22.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
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  18. 18.
    Mathematics

    If f(x) = 1x³ + 3x² + 7x, find f′(3).

    Formula:Derivative of a Polynomial
    ddxxn=n x n−1\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}
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  19. 19.
    Physics

    A force of 227 N acts on an area of 23 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
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  20. 20.
    Mathematics

    Find term number 5 of a geometric progression with first term 5 and common ratio 2.

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
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