MCAT · Practice Sheet 1

1. 1.

   Biology

   Calculate the BMI of a person weighing 75 kg with height 1.64 m.

   Formula:Body Mass Index

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

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2. 2.

   Physics

   Find the electrical power when 72 V drives a current of 15 A.

   Formula:Electrical Power

   $P = VI$

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3. 3.

   Chemistry

   Find the pressure of 3 mol of an ideal gas at 254 K in a 15 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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4. 4.

   Biology

   In a monohybrid cross (Aa × Aa) producing 144 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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5. 5.

   Physics

   Find the electrical power when 132 V drives a current of 8 A.

   Formula:Electrical Power

   $P = VI$

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6. 6.

   Physics

   If 200 J of work is done in 50 s, find the power.

   Formula:Power

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

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7. 7.

   Physics

   Find the voltage across a 26 Ω resistor carrying a current of 14 A.

   Formula:Ohm's Law

   $V = IR$

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8. 8.

   Physics

   A constant force of 85 N moves an object 13 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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9. 9.

   Chemistry

   Find the molarity of a solution containing 2.5 mol of solute in 0.5 L of solution.

   Formula:Molarity

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

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10. 10.

    Chemistry

    Find the pressure of 4 mol of an ideal gas at 317 K in a 19 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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11. 11.

    Physics

    An object starts at 10 m/s and accelerates at 4 m/s² for 7 s. Find its final velocity.

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

    $v = u + at$

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12. 12.

    Physics

    Calculate the potential energy of a 24 kg object at a height of 4 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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13. 13.

    Physics

    If 799 J of work is done in 30 s, find the power.

    Formula:Power

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

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14. 14.

    Physics

    Find the electrical power when 100 V drives a current of 7 A.

    Formula:Electrical Power

    $P = VI$

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15. 15.

    Physics

    A force of 871 N acts on an area of 24 m². Find the pressure.

    Formula:Pressure

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

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16. 16.

    Physics

    Find the force required to accelerate a 29 kg mass at 20 m/s².

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

    $F = ma$

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17. 17.

    Chemistry

    20 mL of a 10 M solution is diluted to 301 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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18. 18.

    Physics

    A projectile is launched at 18 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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19. 19.

    Physics

    A constant force of 103 N moves an object 9 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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20. 20.

    Chemistry

    Find the molarity of a solution containing 1.5 mol of solute in 2.5 L of solution.

    Formula:Molarity

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

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