MCAT · Practice Sheet 6

1. 1.

   Chemistry

   A solution is made by dissolving 40 g of solute in 99 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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2. 2.

   Physics

   A body moving at 12 m/s accelerates at 8 m/s² for 7 s. Find the distance travelled.

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

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

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3. 3.

   Physics

   A force of 108 N acts on an area of 26 m². Find the pressure.

   Formula:Pressure

   $P = \dfrac{F}{A}$

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4. 4.

   Chemistry

   A solution is made by dissolving 32 g of solute in 89 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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5. 5.

   Physics

   Find the electrical power when 74 V drives a current of 16 A.

   Formula:Electrical Power

   $P = VI$

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6. 6.

   Physics

   Find the momentum of a 5 kg body moving at 20 m/s.

   Formula:Linear Momentum

   $p = mv$

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7. 7.

   Biology

   Calculate the BMI of a person weighing 92 kg with height 1.43 m.

   Formula:Body Mass Index

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

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8. 8.

   Chemistry

   How many moles are present in 29.25 g of sodium chloride (NaCl) (molar mass = 58.5 g/mol)?

   Formula:Number of Moles

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

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9. 9.

   Physics

   A projectile is launched at 46 m/s at 60° 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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10. 10.

    Physics

    A constant force of 180 N moves an object 50 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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11. 11.

    Physics

    A force of 500 N acts on an area of 40 m². Find the pressure.

    Formula:Pressure

    $P = \dfrac{F}{A}$

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12. 12.

    Physics

    A body moving at 2 m/s accelerates at 8 m/s² for 4 s. Find the distance travelled.

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

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

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13. 13.

    Chemistry

    A solution is made by dissolving 35 g of solute in 163 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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14. 14.

    Physics

    Find the electrical power when 155 V drives a current of 19 A.

    Formula:Electrical Power

    $P = VI$

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15. 15.

    Chemistry

    Find the molarity of a solution containing 1 mol of solute in 0.5 L of solution.

    Formula:Molarity

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

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16. 16.

    Physics

    Calculate the potential energy of a 9 kg object at a height of 35 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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17. 17.

    Chemistry

    33 mL of a 1 M solution is diluted to 179 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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18. 18.

    Physics

    A constant force of 99 N moves an object 19 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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19. 19.

    Chemistry

    Find the pH of a solution with [H⁺] = 2×10⁻6 mol/L.

    Formula:pH of a Solution

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

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20. 20.

    Biology

    Calculate the BMI of a person weighing 64 kg with height 1.75 m.

    Formula:Body Mass Index

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

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