MCAT · Practice Sheet 47

1. 1.

   Chemistry

   Find the pH of a solution with [H⁺] = 1×10⁻3 mol/L.

   Formula:pH of a Solution

   $pH = -\log_{10}[H^{+}]$

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2. 2.

   Chemistry

   A solution is made by dissolving 14 g of solute in 137 g of solvent. Find the mass percentage of the solute.

   Formula:Mass Percentage

   $\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$

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3. 3.

   Biology

   Calculate the BMI of a person weighing 98 kg with height 1.45 m.

   Formula:Body Mass Index

   $BMI = \dfrac{m}{h^{2}}$

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4. 4.

   Chemistry

   42 mL of a 5 M solution is diluted to 294 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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5. 5.

   Biology

   In a monohybrid cross (Aa × Aa) producing 60 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

   Formula:Monohybrid Cross (3:1)

   $\text{Dominant}:\text{Recessive} = 3:1$

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6. 6.

   Physics

   A projectile is launched at 32 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

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7. 7.

   Physics

   Find the density of an object with mass 41 g and volume 39 cm³.

   Formula:Density

   $\rho = \dfrac{m}{V}$

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8. 8.

   Biology

   Calculate the BMI of a person weighing 83 kg with height 1.51 m.

   Formula:Body Mass Index

   $BMI = \dfrac{m}{h^{2}}$

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9. 9.

   Physics

   A constant force of 13 N moves an object 16 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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10. 10.

    Physics

    A body moving at 15 m/s accelerates at 6 m/s² for 3 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

    $s = ut + \tfrac{1}{2}at^{2}$

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11. 11.

    Physics

    Calculate the potential energy of a 50 kg object at a height of 24 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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12. 12.

    Physics

    A constant force of 63 N moves an object 34 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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13. 13.

    Physics

    Find the electrical power when 80 V drives a current of 2 A.

    Formula:Electrical Power

    $P = VI$

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14. 14.

    Physics

    Find the voltage across a 33 Ω resistor carrying a current of 8 A.

    Formula:Ohm's Law

    $V = IR$

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15. 15.

    Biology

    Under a microscope, an object of actual size 0.4 mm appears 34.4 mm. Find the magnification.

    Formula:Microscope Magnification

    $M = \dfrac{\text{image size}}{\text{actual size}}$

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16. 16.

    Physics

    If 463 J of work is done in 46 s, find the power.

    Formula:Power

    $P = \dfrac{W}{t}$

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17. 17.

    Biology

    In a monohybrid cross (Aa × Aa) producing 136 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

    Formula:Monohybrid Cross (3:1)

    $\text{Dominant}:\text{Recessive} = 3:1$

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18. 18.

    Physics

    If 2,585 J of work is done in 38 s, find the power.

    Formula:Power

    $P = \dfrac{W}{t}$

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19. 19.

    Physics

    Find the kinetic energy of a 19 kg object moving at 3 m/s.

    Formula:Kinetic Energy

    $KE = \tfrac{1}{2}mv^{2}$

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20. 20.

    Physics

    An object starts at 13 m/s and accelerates at 3 m/s² for 5 s. Find its final velocity.

    Formula:Equation of Motion (v = u + at)

    $v = u + at$

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