EmSAT Achieve · Practice Sheet 36

1. 1.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.1. 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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2. 2.

   Chemistry

   Find the pH of a solution with [H⁺] = 5×10⁻6 mol/L.

   Formula:pH of a Solution

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

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3. 3.

   Chemistry

   How many moles are present in 48 g of oxygen gas (O₂) (molar mass = 32 g/mol)?

   Formula:Number of Moles

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

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4. 4.

   Mathematics

   Find the slope of the line through (5, 4) and (6, -1).

   Formula:Slope of a Line

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

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5. 5.

   Mathematics

   Evaluate log base 5 of 3,125.

   Formula:Logarithm Evaluation

   $\log_{b}(b^{k}) = k$

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6. 6.

   Mathematics

   For the quadratic 1x² − 1x + 5 = 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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7. 7.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.5. Find the dominant allele frequency p and the percentage of heterozygous carriers.

   Formula:Hardy–Weinberg Equilibrium

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

   View formula →
8. 8.

   Physics

   Calculate the potential energy of a 23 kg object at a height of 48 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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9. 9.

   Biology

   In a monohybrid cross (Aa × Aa) producing 64 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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10. 10.

    Chemistry

    50 mL of a 1 M solution is diluted to 301 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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11. 11.

    Physics

    A constant force of 174 N moves an object 21 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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12. 12.

    Chemistry

    Find the pH of a solution with [H⁺] = 1×10⁻6 mol/L.

    Formula:pH of a Solution

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

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13. 13.

    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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14. 14.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.5. Find the dominant allele frequency p and the percentage of heterozygous carriers.

    Formula:Hardy–Weinberg Equilibrium

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

    View formula →
15. 15.

    Mathematics

    Find the sum of the first 19 terms of an AP with first term 6 and common difference 2.

    Formula:AP Sum of n Terms

    $S_n = \dfrac{n}{2}\,[2a+(n-1)d]$

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16. 16.

    Chemistry

    How many moles are present in 80 g of oxygen gas (O₂) (molar mass = 32 g/mol)?

    Formula:Number of Moles

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

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17. 17.

    Physics

    Calculate the potential energy of a 31 kg object at a height of 21 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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18. 18.

    Mathematics

    Find the distance between the points (5, -2) and (-8, 0).

    Formula:Distance Between Two Points

    $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

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19. 19.

    Physics

    Find the force required to accelerate a 37 kg mass at 13 m/s².

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

    $F = ma$

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20. 20.

    Biology

    Calculate the BMI of a person weighing 69 kg with height 1.93 m.

    Formula:Body Mass Index

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

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