EmSAT Achieve · Practice Sheet 21

1. 1.

   Physics

   Find the kinetic energy of a 15 kg object moving at 12 m/s.

   Formula:Kinetic Energy

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

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2. 2.

   Biology

   Calculate the BMI of a person weighing 54 kg with height 1.72 m.

   Formula:Body Mass Index

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

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3. 3.

   Chemistry

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

   Formula:Number of Moles

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

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4. 4.

   Physics

   A force of 143 N acts on an area of 24 m². Find the pressure.

   Formula:Pressure

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

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5. 5.

   Mathematics

   For the quadratic 4x² − 8x − 9 = 0, find the sum and product of its roots.

   Formula:Vieta's Formulas (roots)

   $\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$

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6. 6.

   Physics

   A body moving at 8 m/s accelerates at 5 m/s² for 6 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 momentum of a 37 kg body moving at 3 m/s.

   Formula:Linear Momentum

   $p = mv$

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8. 8.

   Physics

   Find the kinetic energy of a 12 kg object moving at 15 m/s.

   Formula:Kinetic Energy

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

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9. 9.

   Chemistry

   Find the molarity of a solution containing 0.5 mol of solute in 4 L of solution.

   Formula:Molarity

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

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10. 10.

    Physics

    Find the momentum of a 26 kg body moving at 12 m/s.

    Formula:Linear Momentum

    $p = mv$

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11. 11.

    Biology

    Under a microscope, an object of actual size 0.6 mm appears 47.4 mm. Find the magnification.

    Formula:Microscope Magnification

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

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12. 12.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.4. Find the dominant allele frequency p and the percentage of heterozygous carriers.

    Formula:Hardy–Weinberg Equilibrium

    $p + q = 1,\;\; 2pq = \text{carriers}$

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13. 13.

    Mathematics

    If f(x) = 5x³ + 5x² + 1x, find f′(2).

    Formula:Derivative of a Polynomial

    $\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$

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14. 14.

    Physics

    Find the voltage across a 50 Ω resistor carrying a current of 20 A.

    Formula:Ohm's Law

    $V = IR$

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15. 15.

    Mathematics

    Find the slope of the line through (4, -8) and (-2, -2).

    Formula:Slope of a Line

    $m = \dfrac{y_2-y_1}{x_2-x_1}$

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16. 16.

    Physics

    A constant force of 44 N moves an object 41 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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17. 17.

    Physics

    Find the kinetic energy of a 2 kg object moving at 5 m/s.

    Formula:Kinetic Energy

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

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18. 18.

    Physics

    Calculate the potential energy of a 14 kg object at a height of 16 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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19. 19.

    Physics

    A force of 506 N acts on an area of 40 m². Find the pressure.

    Formula:Pressure

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

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20. 20.

    Biology

    In a monohybrid cross (Aa × Aa) producing 148 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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