Natural Sciences Admissions Assessment (NSAA) — Questions and Answers

Question 1: What is the primary role of chlorophyll in photosynthesis?

Absorbing light energy (Correct answer)
Absorbing water
Releasing oxygen
Synthesizing glucose

Correct answer: Absorbing light energy

Chlorophyll is the pigment in plants that absorbs light energy, which is then used to convert carbon dioxide and water into glucose during photosynthesis.

Question 2: Which of the following statements about genetic mutations is true?

Mutations are always beneficial
Mutations can be caused by environmental factors (Correct answer)
All mutations are harmful
Mutations only occur during DNA replication

Correct answer: Mutations can be caused by environmental factors

Mutations can be caused by various factors, including environmental influences such as radiation, chemicals, and viruses.

Question 3: Which of the following statements about catalysts is true?

Catalysts are only effective at high temperatures.
Catalysts are consumed in the reaction.
Catalysts speed up the reaction without being consumed. (Correct answer)
Catalysts increase the activation energy of a reaction.

Correct answer: Catalysts speed up the reaction without being consumed.

Catalysts increase the rate of a reaction by lowering the activation energy and are not consumed during the reaction.

Question 4: In which phase of the cell cycle does DNA replication occur?

G2 phase
S phase (Correct answer)
M phase
G1 phase

Correct answer: S phase

DNA replication occurs during the S phase (synthesis phase) of the cell cycle.

Question 5: What type of reaction is represented by the following equation: 2H₂ + O₂ → 2H₂O?

Synthesis (Correct answer)
Single displacement
Decomposition
Double displacement

Correct answer: Synthesis

The given equation represents a synthesis reaction, where two or more reactants combine to form a single product.

Question 6: The median of the data set {3, 7, 9, 2, 5} is:

5 (Correct answer)
7
3
9

Correct answer: 5

Sorted: {2, 3, 5, 7, 9}; middle value = 5.

Question 7: Which of the following is the correct definition of standard deviation?

The range divided by 2
The square root of the variance (Correct answer)
The average of all data values
The square of the variance

Correct answer: The square root of the variance

Standard deviation is the square root of the variance, measuring spread around the mean.

Question 8: Which wave property allows sound to be heard around corners?

Diffraction (Correct answer)
Refraction
Reflection
Polarisation

Correct answer: Diffraction

Diffraction allows waves to bend around obstacles and spread out through gaps.

Question 9: Simplify: (3x²y)(2xy³)

5x²y⁴
5x³y⁴
6x²y³
6x³y⁴ (Correct answer)

Correct answer: 6x³y⁴

Multiply coefficients: 3×2=6; add exponents: x^(2+1)=x³, y^(1+3)=y⁴. Result: 6x³y⁴.

Question 10: A convex lens of focal length 20 cm forms a real image of an object 60 cm away. How far from the lens is the image?

20 cm
30 cm (Correct answer)
15 cm
40 cm

Correct answer: 30 cm

1/f = 1/v - 1/u (real is positive): 1/20 = 1/v + 1/60 → 1/v = 3/60 - 1/60 = 2/60, v = 30 cm.

Question 11: A 60 W bulb runs on a 120 V supply. What current does it draw?

0.25 A
2 A
0.5 A (Correct answer)
7200 A

Correct answer: 0.5 A

Current I = P/V = 60/120 = 0.5 A.

Question 12: Which type of intermolecular force is the strongest?

Dipole-dipole interactions
London dispersion forces
Van der Waals forces
Hydrogen bonds (Correct answer)

Correct answer: Hydrogen bonds

Hydrogen bonds are the strongest type of intermolecular force compared to London dispersion forces and dipole-dipole interactions.

Question 13: Which of the following best describes the process of osmosis?

Movement of water from an area of low solute concentration to high solute concentration (Correct answer)
Movement of water against the concentration gradient
Movement of solutes from an area of high concentration to low concentration
Movement of water from an area of high solute concentration to low solute concentration

Correct answer: Movement of water from an area of low solute concentration to high solute concentration

Osmosis is the movement of water molecules through a selectively permeable membrane from an area of low solute concentration to an area of high solute concentration.

Question 14: What is the pH of a 0.01 M solution of HCl?

4
3
1
2 (Correct answer)

Correct answer: 2

HCl is a strong acid that dissociates completely in water. The pH is calculated as -log[H⁺], so for a 0.01 M solution, pH = -log(0.01) = 2.

Question 15: What is the asymptote of f(x) = 1/(x - 3)?

x = 1
y = 3
x = -3
x = 3 (Correct answer)

Correct answer: x = 3

The vertical asymptote occurs where the denominator is zero: x - 3 = 0, so x = 3.

Question 16: If the amplitude of a wave is doubled, the intensity of the wave:

Quadruples (Correct answer)
Doubles
Halves
Remains the same

Correct answer: Quadruples

Intensity is proportional to amplitude squared (I ∝ A²), so doubling amplitude quadruples intensity.

Question 17: Evaluate ∫ sin(x) dx

sin(x) + C
-cos(x) + C (Correct answer)
-sin(x) + C
cos(x) + C

Correct answer: -cos(x) + C

∫ sin(x) dx = -cos(x) + C.

Question 18: Which of the following processes results in the formation of gametes?

Binary fission
Mitosis
Meiosis (Correct answer)
Budding

Correct answer: Meiosis

Meiosis is the process that results in the formation of gametes (sperm and eggs), reducing the chromosome number by half.

Question 19: Find the x-coordinate of the stationary point of y = x² - 6x + 9.

x = 0
x = 9
x = 3 (Correct answer)
x = 6

Correct answer: x = 3

dy/dx = 2x - 6 = 0 → x = 3.

Question 20: In the periodic table, which trend is observed as you move from left to right across a period?

Atomic radius increases
Metallic character decreases (Correct answer)
Electronegativity decreases
Ionization energy decreases

Correct answer: Metallic character decreases

As you move from left to right across a period, elements become less metallic and more non-metallic in character.

Question 21: When light travels from a medium with refractive index 1.5 into air (n=1), what is the critical angle?

48.2°
19.5°
56.4°
41.8° (Correct answer)

Correct answer: 41.8°

sin(θc) = n₂/n₁ = 1/1.5 = 0.667, so θc = arcsin(0.667) ≈ 41.8°.

Question 22: What is the function of ribosomes in the cell?

Waste breakdown
DNA replication
Protein synthesis (Correct answer)
Lipid synthesis

Correct answer: Protein synthesis

Ribosomes are responsible for synthesizing proteins by translating messenger RNA.

Question 23: Sound travels at 340 m/s. What is the wavelength of a 170 Hz sound wave?

0.5 m
170 m
2 m (Correct answer)
1 m

Correct answer: 2 m

λ = v/f = 340/170 = 2 m.

Question 24: The interquartile range (IQR) is calculated as:

Q3 - median
Q3 - Q1 (Correct answer)
Q1 - Q3
median - Q1

Correct answer: Q3 - Q1

IQR = Q3 - Q1, the difference between the upper and lower quartiles.

Question 25: Find the gradient of y = 3x² - x at x = 2.

12
11 (Correct answer)
10
5

Correct answer: 11

dy/dx = 6x - 1; at x = 2: 6(2) - 1 = 12 - 1 = 11.

Question 26: Which of the following compounds is ionic?

NaCl (Correct answer)
H₂O
CH₄
CO₂

Correct answer: NaCl

Sodium chloride (NaCl) is an ionic compound, consisting of positively charged sodium ions and negatively charged chloride ions.

Question 27: The mean of five numbers is 8. If four of the numbers are 6, 7, 9, and 10, what is the fifth number?

7
6
9
8 (Correct answer)

Correct answer: 8

Total sum = 5 × 8 = 40; sum of four = 32; fifth = 40 - 32 = 8.

Question 28: Which of the following compounds will exhibit hydrogen bonding?

CO₂
H₂S
CH₄
NH₃ (Correct answer)

Correct answer: NH₃

Ammonia (NH₃) exhibits hydrogen bonding due to the presence of a highly electronegative nitrogen atom bonded to hydrogen atoms.

Question 29: Solve for x: 3x - 7 = 14

x = 9
x = 3
x = 5
x = 7 (Correct answer)

Correct answer: x = 7

3x = 21, so x = 7.

Question 30: In a transverse wave, the direction of particle vibration is:

Perpendicular to wave propagation (Correct answer)
In a circular pattern
Parallel to wave propagation
At 45° to wave propagation

Correct answer: Perpendicular to wave propagation

In transverse waves, particles vibrate perpendicular to the direction of energy transfer.

Natural Sciences Admissions Assessment (NSAA)

The NSAA is a Cambridge University admissions test for Natural Sciences applicants, assessing scientific reasoning and mathematical ability across Mathematics, Physics, Chemistry, and Biology through two timed sections of multiple-choice questions.

Questions

120 min

Time Limit

70%

To Pass

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These practice questions were written with AI tools. They are not real exam questions. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy

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