MCAT · Practice Sheet 42

1. 1.

   Biology

   Under a microscope, an object of actual size 1.2 mm appears 44.4 mm. Find the magnification.

   Formula:Microscope Magnification

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

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2. 2.

   Chemistry

   A solution is made by dissolving 42 g of solute in 129 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.

   Physics

   Find the density of an object with mass 463 g and volume 29 cm³.

   Formula:Density

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

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4. 4.

   Physics

   An object starts at 20 m/s and accelerates at 4 m/s² for 5 s. Find its final velocity.

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

   $v = u + at$

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5. 5.

   Physics

   Find the kinetic energy of a 5 kg object moving at 14 m/s.

   Formula:Kinetic Energy

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

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6. 6.

   Physics

   A body moving at 9 m/s accelerates at 5 m/s² for 5 s. Find the distance travelled.

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

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

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7. 7.

   Physics

   Find the density of an object with mass 159 g and volume 11 cm³.

   Formula:Density

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

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8. 8.

   Biology

   Under a microscope, an object of actual size 3.5 mm appears 227.5 mm. Find the magnification.

   Formula:Microscope Magnification

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

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9. 9.

   Physics

   Find the density of an object with mass 66 g and volume 13 cm³.

   Formula:Density

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

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10. 10.

    Biology

    Calculate the BMI of a person weighing 94 kg with height 1.74 m.

    Formula:Body Mass Index

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

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11. 11.

    Physics

    A constant force of 34 N moves an object 31 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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12. 12.

    Physics

    A projectile is launched at 19 m/s at 45° 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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13. 13.

    Chemistry

    20 mL of a 1 M solution is diluted to 279 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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14. 14.

    Physics

    Find the force required to accelerate a 16 kg mass at 16 m/s².

    Formula:Newton's Second Law (F = ma)

    $F = ma$

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15. 15.

    Physics

    A constant force of 19 N moves an object 6 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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16. 16.

    Chemistry

    Find the pressure of 3 mol of an ideal gas at 255 K in a 2 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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17. 17.

    Physics

    A constant force of 142 N moves an object 4 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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18. 18.

    Chemistry

    How many moles are present in 220 g of carbon dioxide (CO₂) (molar mass = 44 g/mol)?

    Formula:Number of Moles

    $n = \dfrac{m}{M}$

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19. 19.

    Biology

    Under a microscope, an object of actual size 2.7 mm appears 27 mm. Find the magnification.

    Formula:Microscope Magnification

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

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20. 20.

    Chemistry

    Find the pH of a solution with [H⁺] = 5×10⁻3 mol/L.

    Formula:pH of a Solution

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

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