ESAT Engineering and Science Admissions Test — Questions and Answers

Question 1: Which periodic trend describes the decrease in atomic radius across a period (left to right)?

Decreasing atomic mass
Increasing electron shielding
Decreasing number of electron shells
Increasing nuclear charge attracting electrons more strongly (Correct answer)

Correct answer: Increasing nuclear charge attracting electrons more strongly

Across a period, protons increase while electrons are added to the same shell, so greater nuclear charge pulls electrons closer.

Question 2: What is the most effective way to prepare for the mathematics section of the ESAT?

Focusing solely on basic arithmetic
Reviewing core concepts in algebra, calculus, and trigonometry, and practicing problem-solving (Correct answer)
Studying history and geography topics
Memorizing formulas without understanding their applications

Correct answer: Reviewing core concepts in algebra, calculus, and trigonometry, and practicing problem-solving

The most effective way to prepare for the mathematics section of the ESAT is to thoroughly review core concepts in algebra, calculus, and trigonometry. Beyond memorization, it is crucial to practice applying these concepts to a wide range of problem-solving scenarios. This approach builds both conceptual understanding and the analytical skills necessary to tackle complex mathematical challenges on the test.

Question 3: How many distinct real roots does x⁴ - 5x² + 4 = 0 have?

4 (Correct answer)
0
2
3

Correct answer: 4

Substituting u = x² gives (u-1)(u-4) = 0, so u = 1 or u = 4, yielding x = ±1 and x = ±2: four distinct real roots.

Question 4: In ESAT Chemistry, what does the rate equation r = k[A]²[B] indicate?

First order in both A and B
Second order in B and first order in A
Zero order overall
Second order in A and first order in B, third order overall (Correct answer)

Correct answer: Second order in A and first order in B, third order overall

The rate equation shows the reaction is second order in A, first order in B, and third order overall.

Question 5: What is the Maclaurin series for e^x up to and including the x³ term?

x + x²/2 + x³/6
1 + x + x²/2 + x³/6 (Correct answer)
1 + x + x² + x³
1 + x + 2x² + 6x³

Correct answer: 1 + x + x²/2 + x³/6

The Maclaurin series for e^x is Σ xⁿ/n!, so 1 + x + x²/2! + x³/3! = 1 + x + x²/2 + x³/6.

Question 6: What does Faraday's law of electromagnetic induction state?

Current is proportional to voltage
EMF is proportional to the rate of change of magnetic flux (Correct answer)
Force on a charge equals qvB
Magnetic field lines form closed loops

Correct answer: EMF is proportional to the rate of change of magnetic flux

Faraday's law states that induced EMF = -dΦ/dt, where Φ is the magnetic flux.

Question 7: In an ESAT physics problem, a 2 kg object accelerates at 5 m/s². What net force acts on it?

3 N
2.5 N
7 N
10 N (Correct answer)

Correct answer: 10 N

F = ma = 2 kg × 5 m/s² = 10 N.

Question 8: Which of the following is a reason why some universities use the ESAT in their admissions process?

To assess a candidate's knowledge of modern art
To measure creative writing skills
To test language fluency
To evaluate a student's proficiency in mathematics, physics, and chemistry (Correct answer)

Correct answer: To evaluate a student's proficiency in mathematics, physics, and chemistry

Universities use the ESAT to evaluate a student's proficiency in core technical subjects like mathematics, physics, and chemistry. These subjects are fundamental prerequisites for success in engineering and science degrees. The test helps admissions committees identify candidates with a strong academic foundation in these critical areas.

Question 9: Which university program is most likely to require a high score on the ESAT for admission?

Bachelor of Business Administration
Bachelor of Science in Mechanical Engineering (Correct answer)
Bachelor of Fine Arts in Painting
Bachelor of Arts in History

Correct answer: Bachelor of Science in Mechanical Engineering

Given that the ESAT is the Engineering & Science Admissions Test, a Bachelor of Science in Mechanical Engineering is the program most aligned with its assessment focus. Engineering degrees require a strong aptitude in mathematics and scientific principles, which the ESAT is designed to measure. Programs in humanities, fine arts, or business administration would not typically require this specialized test.

Question 10: Which organelle is the site of protein synthesis in eukaryotic cells?

Vacuole
Lysosome
Ribosome (Correct answer)
Golgi apparatus

Correct answer: Ribosome

Ribosomes are the organelles that carry out translation, assembling amino acids into proteins.

Question 11: What is osmosis in biological systems?

Movement of water molecules from high to low water potential across a semi-permeable membrane (Correct answer)
Active transport of ions against a gradient
Diffusion of gases across a membrane
Movement of solutes from low to high concentration

Correct answer: Movement of water molecules from high to low water potential across a semi-permeable membrane

Osmosis is the passive movement of water down its water potential gradient across a selectively permeable membrane.

Question 12: What does the term 'natural selection' mean in evolutionary biology?

Traits are inherited from only one parent
Individuals with advantageous traits survive and reproduce more (Correct answer)
Organisms choose their own traits
All individuals in a population survive equally

Correct answer: Individuals with advantageous traits survive and reproduce more

Natural selection is the process by which heritable traits that improve survival and reproduction become more common over generations.

Question 13: What should a candidate do if they encounter a question with an unfamiliar topic in the ESAT?

Spend as long as possible trying to recall the answer
Leave it completely blank
Apply logical reasoning and elimination to make the best guess, then move on (Correct answer)
Change all previous answers

Correct answer: Apply logical reasoning and elimination to make the best guess, then move on

With no negative marking, applying reasoning to eliminate options and making a best guess is always better than leaving a blank.

Question 14: What is the half-life concept in radioactive decay as tested in ESAT?

Time for half the mass to be lost as energy
Time for the activity to double
Time for half the nuclei to decay (Correct answer)
Time for all nuclei to decay

Correct answer: Time for half the nuclei to decay

Half-life is the time taken for half the radioactive nuclei in a sample to undergo decay.

Question 15: Which technique is most appropriate for evaluating ∫x·e^x dx?

Partial fractions
Trigonometric substitution
Integration by parts (Correct answer)
Substitution

Correct answer: Integration by parts

Integration by parts with u = x and dv = e^x dx gives ∫x·e^x dx = x·e^x - e^x + C.

Question 16: What is the standard electrode potential of the standard hydrogen electrode (SHE)?

0.00 V (Correct answer)
1.00 V
0.76 V
-1.00 V

Correct answer: 0.00 V

The standard hydrogen electrode is assigned a potential of exactly 0.00 V by convention.

Question 17: In which month is the ESAT typically administered?

July
January
April
October (Correct answer)

Correct answer: October

The ESAT is typically held in October, in time for university application deadlines in the UK.

Question 18: Which law states that the total momentum of a closed system remains constant?

Newton's third law
Conservation of energy
Hooke's law
Conservation of momentum (Correct answer)

Correct answer: Conservation of momentum

The law of conservation of momentum states that total momentum is constant in the absence of external forces.

Question 19: What is the product of anaerobic respiration in animal cells?

Ethanol and CO₂
Oxygen and ATP
Lactate and a small amount of ATP (Correct answer)
Glucose and water

Correct answer: Lactate and a small amount of ATP

In animal cells, anaerobic respiration converts pyruvate to lactate, regenerating NAD⁺ for continued glycolysis.

Question 20: What does the ESAT Biology section typically assess?

Human geography
Cell biology, genetics, and physiology (Correct answer)
Pharmacology only
Clinical medicine

Correct answer: Cell biology, genetics, and physiology

The ESAT Biology component covers cell biology, genetics, physiology, ecology, and evolution.

Question 21: Which integration technique would best solve ∫ x·eˣ dx in an ESAT question?

Partial fractions
Substitution
Integration by parts (Correct answer)
Trigonometric substitution

Correct answer: Integration by parts

Integration by parts (∫u dv = uv - ∫v du) is used for products of a polynomial and exponential.

Question 22: How many moles of NaCl are in 117 g? (Molar mass NaCl = 58.5 g/mol)

1 mol
0.5 mol
58.5 mol
2 mol (Correct answer)

Correct answer: 2 mol

n = mass / molar mass = 117 / 58.5 = 2 mol.

Question 23: What is the process by which plants make glucose using light energy?

Osmosis
Photosynthesis (Correct answer)
Transpiration
Respiration

Correct answer: Photosynthesis

Photosynthesis converts light energy, CO₂, and water into glucose and oxygen in chloroplasts.

Question 24: What is the marking scheme for the ESAT?

Marks deducted for all incorrect answers
Fraction marks for partially correct answers
Two marks per correct, minus one for wrong
One mark per correct answer, no penalty for wrong answers (Correct answer)

Correct answer: One mark per correct answer, no penalty for wrong answers

The ESAT uses positive marking only: one mark for each correct answer with no penalty for incorrect responses.

Question 25: What physics concepts are generally assessed in the ESAT?

Human Anatomy and Physiology
Mechanics, Electricity and Magnetism, Thermodynamics, and Waves (Correct answer)
Fictional Literary Analysis
Historical Events and Figures

Correct answer: Mechanics, Electricity and Magnetism, Thermodynamics, and Waves

The ESAT assesses fundamental physics concepts that are critical for engineering and science programs. The topics generally covered include Mechanics (motion, forces, energy), Electricity and Magnetism (circuits, fields), Thermodynamics (heat, energy transfer), and Waves (sound, light). These areas represent the core principles of physics that underpin many scientific and engineering applications.

Question 26: Which functional group characterises an alcohol?

-CHO (aldehyde)
-OH (hydroxyl) (Correct answer)
-COOH (carboxyl)
-NH₂ (amino)

Correct answer: -OH (hydroxyl)

Alcohols contain the -OH (hydroxyl) functional group attached to a carbon atom.

Question 27: What is the difference between autotrophs and heterotrophs?

Heterotrophs make their own food via photosynthesis
Autotrophs are animals; heterotrophs are plants
Autotrophs make their own food; heterotrophs consume other organisms (Correct answer)
Both terms describe the same feeding strategy

Correct answer: Autotrophs make their own food; heterotrophs consume other organisms

Autotrophs (e.g., plants) produce organic compounds from inorganic sources; heterotrophs (e.g., animals) obtain energy by consuming other organisms.

Question 28: A wave has frequency 500 Hz and wavelength 0.68 m. What is its speed?

735 m/s
500 m/s
340 m/s (Correct answer)
0.68 m/s

Correct answer: 340 m/s

v = fλ = 500 × 0.68 = 340 m/s, which is the speed of sound in air.

Question 29: What is the empirical formula of a compound with 40% C, 6.67% H, and 53.33% O by mass?

C₂H₄O₂
CH₄O
C₂H₂O
CH₂O (Correct answer)

Correct answer: CH₂O

Dividing by atomic masses: C:H:O = 40/12 : 6.67/1 : 53.33/16 ≈ 3.33 : 6.67 : 3.33 = 1:2:1 → CH₂O.

Question 30: What is the recommended approach for pacing through ESAT questions?

Read the whole paper before answering
Spend about 90 seconds per question and move on if stuck (Correct answer)
Answer only the easy questions first and skip hard ones entirely
Spend as long as needed on each question

Correct answer: Spend about 90 seconds per question and move on if stuck

With 27 questions in 40 minutes, allocating roughly 90 seconds per question and moving on if stuck maximises overall score.

Question 31: Solve for x: log₂(x) + log₂(4) = 5

8 (Correct answer)
16
32
4

Correct answer: 8

log₂(4x) = 5 means 4x = 32, so x = 8.

Question 32: In Mendelian genetics, if both parents are Aa, what proportion of offspring will be homozygous recessive (aa)?

0
1/2
1/4 (Correct answer)
3/4

Correct answer: 1/4

A Punnett square for Aa × Aa gives AA:Aa:aa = 1:2:1, so 1/4 are homozygous recessive.

Question 33: What is the gravitational potential energy of a 5 kg mass at a height of 10 m? (g = 10 m/s²)

50 J
500 J (Correct answer)
5000 J
250 J

Correct answer: 500 J

GPE = mgh = 5 × 10 × 10 = 500 J.

Question 34: What is Avogadro's constant?

1.38 × 10⁻²³ mol⁻¹
6.022 × 10²² mol⁻¹
6.022 × 10²³ mol⁻¹ (Correct answer)
9.81 × 10²³ mol⁻¹

Correct answer: 6.022 × 10²³ mol⁻¹

Avogadro's constant is 6.022 × 10²³ mol⁻¹, the number of particles in one mole.

Question 35: What is the sum of the infinite geometric series 1 + 1/3 + 1/9 + 1/27 + ...?

2
3
4/3
3/2 (Correct answer)

Correct answer: 3/2

For an infinite geometric series with first term a=1 and ratio r=1/3, the sum is a/(1-r) = 1/(2/3) = 3/2.

Question 36: How far in advance should candidates begin preparing for the ESAT?

The night before
1 week before
No preparation is needed
At least 3–6 months before the test date (Correct answer)

Correct answer: At least 3–6 months before the test date

Given the ESAT's challenging A-level+ content, experts recommend 3–6 months of structured preparation to consolidate subject knowledge and exam technique.

Question 37: For the matrix M with rows [1, 2] and [3, 4], which entry appears in row 1, column 1 of M^(-1)?

1/2
-2 (Correct answer)
-1/2
4

Correct answer: -2

det(M) = 1·4 - 2·3 = -2; M^(-1) = (1/-2)·[[4,-2],[-3,1]], so row 1, col 1 = 4/(-2) = -2.

Question 38: What is the molar mass of water (H₂O)?

20 g/mol
16 g/mol
18 g/mol (Correct answer)
34 g/mol

Correct answer: 18 g/mol

H₂O: 2(1) + 16 = 18 g/mol, using standard atomic masses.

Question 39: In a series circuit with resistors R₁ = 3Ω and R₂ = 6Ω, what is the total resistance?

18 Ω
4.5 Ω
2 Ω
9 Ω (Correct answer)

Correct answer: 9 Ω

Resistors in series add directly: R_total = R₁ + R₂ = 3 + 6 = 9 Ω.

Question 40: Which is the correct binomial expansion of (1+x)^(-2) for |x| < 1, up to the x² term?

1 + 2x + 3x²
1 - 2x - 3x²
1 - x + x²
1 - 2x + 3x² (Correct answer)

Correct answer: 1 - 2x + 3x²

Using the binomial series with n=-2: the coefficient of x is -2 and of x² is (-2)(-3)/2! = 3, giving 1 - 2x + 3x².

Question 41: What is the difference between mitosis and meiosis?

Mitosis produces 2 identical diploid cells; meiosis produces 4 haploid cells (Correct answer)
Mitosis produces haploid cells; meiosis produces diploid cells
Both produce identical haploid cells
Mitosis only occurs in gametes

Correct answer: Mitosis produces 2 identical diploid cells; meiosis produces 4 haploid cells

Mitosis produces two genetically identical diploid cells for growth/repair; meiosis produces four genetically diverse haploid gametes.

Question 42: What is produced when an acid reacts with a base?

Water and hydrogen gas
Salt and carbon dioxide
Oxide and water
Salt and water (Correct answer)

Correct answer: Salt and water

An acid-base neutralisation reaction produces a salt and water as products.

Question 43: What is the determinant of the matrix [[2, 3], [1, 4]]?

5 (Correct answer)
11
8
2

Correct answer: 5

det = (2×4) - (3×1) = 8 - 3 = 5.

Question 44: Which of the following best describes the ESAT's role in the admissions process?

It is optional for all applicants
It replaces A-level grade requirements entirely
It is one component used alongside grades, personal statement, and interviews (Correct answer)
It is the only factor considered for admission

Correct answer: It is one component used alongside grades, personal statement, and interviews

The ESAT is a standardised component that universities use alongside academic grades, personal statements, and interview performance.

Question 45: In ESAT Physics, what does Coulomb's law describe?

The force on a current-carrying wire
The energy stored in a capacitor
The electric field inside a conductor
The force between two point charges (Correct answer)

Correct answer: The force between two point charges

Coulomb's law gives the electrostatic force F = kq₁q₂/r² between two point charges.

Question 46: What is the Hardy-Weinberg equilibrium used for in genetics?

Determining protein folding
Predicting allele frequencies in a non-evolving population (Correct answer)
Measuring gene expression levels
Calculating mutation rates

Correct answer: Predicting allele frequencies in a non-evolving population

Hardy-Weinberg equilibrium describes the allele and genotype frequencies in an ideally non-evolving population, serving as a baseline for detecting evolution.

Question 47: What is the best use of past ESAT and NSAA/ENGAA papers during preparation?

Timed practice under exam conditions to build speed and accuracy (Correct answer)
Memorising answers without understanding
Using them only in the final week
Reading them without attempting questions

Correct answer: Timed practice under exam conditions to build speed and accuracy

Practising past papers under timed conditions trains both content recall and the exam pace required for success.

Question 48: In ESAT Physics, what is the principle of superposition for waves?

Waves speed up when they overlap
The resultant displacement is the sum of individual displacements (Correct answer)
Waves cancel each other out completely
Wave frequency doubles when two waves meet

Correct answer: The resultant displacement is the sum of individual displacements

Superposition states that when two or more waves overlap, the total displacement equals the algebraic sum of individual displacements.

Question 49: What does the area under a velocity-time graph represent?

Force
Acceleration
Displacement (Correct answer)
Power

Correct answer: Displacement

The area under a v-t graph gives displacement, since displacement = velocity × time.

Question 50: What type of bonding involves the sharing of electron pairs between atoms?

Ionic bonding
Hydrogen bonding
Covalent bonding (Correct answer)
Metallic bonding

Correct answer: Covalent bonding

Covalent bonds are formed by the sharing of one or more electron pairs between atoms.

Question 51: What is the ideal gas law?

PV = nRT (Correct answer)
P = nRT/V²
PV = nT
PV² = nRT

Correct answer: PV = nRT

The ideal gas law PV = nRT relates pressure, volume, moles, the gas constant R, and temperature.

Question 52: Which of the following describes the work-energy theorem?

Work equals force times time
Net work done on an object equals its change in kinetic energy (Correct answer)
Energy is always conserved in all forms
Power equals force times velocity squared

Correct answer: Net work done on an object equals its change in kinetic energy

The work-energy theorem states W_net = ΔKE = ½mv² - ½mu².

Question 53: What is the general solution to the differential equation d²y/dx² + 4y = 0?

y = A cos(4x) + B sin(4x)
y = A cos(2x) + B sin(2x) (Correct answer)
y = (A + Bx)e^(2x)
y = Ae^(2x) + Be^(-2x)

Correct answer: y = A cos(2x) + B sin(2x)

The characteristic equation r² + 4 = 0 has roots r = ±2i, giving the general solution y = A cos(2x) + B sin(2x).

Question 54: How many subject sections does a candidate typically complete in the ESAT?

One subject only
Three subjects
Two parts (Part 1 + one chosen Part 2 subject) (Correct answer)
All five subjects

Correct answer: Two parts (Part 1 + one chosen Part 2 subject)

Candidates complete Part 1 (Mathematics 1) and one Part 2 section chosen from Physics, Chemistry, Biology, or Further Mathematics.

Question 55: Evaluate the definite integral ∫₀^π sin(x) dx.

2 (Correct answer)
1
π
0

Correct answer: 2

[-cos(x)]₀^π = -cos(π) + cos(0) = 1 + 1 = 2.

Question 56: What type of reaction converts alkenes to alkanes using hydrogen gas?

Halogenation
Hydrogenation (Correct answer)
Hydrolysis
Oxidation

Correct answer: Hydrogenation

Hydrogenation adds H₂ across the double bond of an alkene, converting it to an alkane.

Question 57: What is the function of mitochondria in a cell as tested in ESAT Biology?

Site of protein synthesis
Site of aerobic respiration and ATP production (Correct answer)
Controls cell division
Site of photosynthesis

Correct answer: Site of aerobic respiration and ATP production

Mitochondria are the sites of aerobic respiration, producing the majority of a cell's ATP.

Question 58: For vectors a = (1, 2, 3) and b = (4, 5, 6), what is the dot product a · b?

32 (Correct answer)
45
17
28

Correct answer: 32

a · b = (1)(4) + (2)(5) + (3)(6) = 4 + 10 + 18 = 32.

Question 59: What is the dot product of vectors (1, 2, 3) and (4, -1, 2)?

10
8 (Correct answer)
6
12

Correct answer: 8

(1)(4) + (2)(-1) + (3)(2) = 4 - 2 + 6 = 8.

Question 60: Which type of electromagnetic radiation has the highest frequency?

Microwaves
Gamma rays (Correct answer)
Ultraviolet
X-rays

Correct answer: Gamma rays

Gamma rays occupy the highest-frequency (and highest-energy) end of the electromagnetic spectrum.

Question 61: If a vector a = (3, 4), what is |a|?

√7
5 (Correct answer)
7
12

Correct answer: 5

|a| = √(3² + 4²) = √(9 + 16) = √25 = 5.

Question 62: What is the SI unit of electric charge?

Ampere (A)
Farad (F)
Volt (V)
Coulomb (C) (Correct answer)

Correct answer: Coulomb (C)

The SI unit of electric charge is the coulomb (C), equal to one ampere-second.

Question 63: What is a key difference between the ESAT and typical A-level exams?

ESAT is purely essay-based
ESAT questions are shorter but require faster application of knowledge (Correct answer)
ESAT allows more time per question than A-level exams
ESAT covers the same breadth at the same depth as A-level

Correct answer: ESAT questions are shorter but require faster application of knowledge

The ESAT demands rapid application of knowledge across concise multiple-choice questions, unlike the longer structured answers of A-level exams.

Question 64: How does the ESAT benefit students who are applying to engineering and science programs?

It helps students avoid taking prerequisite courses in college.
It provides students with an opportunity to demonstrate their aptitude in subjects critical to their chosen field. (Correct answer)
It assesses students' extracurricular achievements.
It allows students to showcase their knowledge in non-technical subjects.

Correct answer: It provides students with an opportunity to demonstrate their aptitude in subjects critical to their chosen field.

The ESAT benefits students applying to engineering and science programs by providing a dedicated platform to showcase their aptitude and proficiency in subjects directly relevant to their chosen field. This allows them to demonstrate their strengths in mathematics, physics, and chemistry, which are critical for success in STEM. A strong ESAT score can significantly bolster their application and highlight their readiness for advanced technical studies.

Question 65: What is the volume of the solid formed when y = √x (0 ≤ x ≤ 4) is rotated 360° about the x-axis?

32π
16π
8π (Correct answer)
4π

Correct answer: 8π

V = π∫₀⁴ (√x)² dx = π∫₀⁴ x dx = π[x²/2]₀⁴ = 8π.

Question 66: Which of the following is an example of an oxidation reaction?

Mg → Mg²⁺ + 2e⁻ (Correct answer)
Cl₂ + 2e⁻ → 2Cl⁻
Cu²⁺ + 2e⁻ → Cu
Fe³⁺ + e⁻ → Fe²⁺

Correct answer: Mg → Mg²⁺ + 2e⁻

Oxidation is loss of electrons (OIL RIG); Mg losing 2 electrons to form Mg²⁺ is oxidation.

Question 67: What is the relationship between pressure, force, and area?

F = P²A
P = F/A (Correct answer)
P = FA
P = A/F

Correct answer: P = F/A

Pressure is defined as force per unit area: P = F/A.

Question 68: Which of the following is the general solution to the differential equation dy/dx = 2y?

y = 2x + C
y = x² + C
y = Ce^(-2x)
y = Ce^(2x) (Correct answer)

Correct answer: y = Ce^(2x)

Separating variables gives dy/y = 2dx; integrating yields ln|y| = 2x + C, so y = Ae^(2x).

Question 69: In the ESAT Physics component, Ohm's Law is expressed as:

V = IR (Correct answer)
P = IV²
I = V²/R
R = IV

Correct answer: V = IR

Ohm's Law states that voltage (V) equals current (I) multiplied by resistance (R).

Question 70: A projectile is launched horizontally from a cliff. Which quantity remains constant throughout its flight (ignoring air resistance)?

Horizontal velocity (Correct answer)
Vertical velocity
Speed
Kinetic energy

Correct answer: Horizontal velocity

With no air resistance, the horizontal velocity is unchanged because no horizontal force acts on the projectile.

Question 71: Which of the following is tested in the ESAT Mathematics component?

Essay writing
Data interpretation only
Programming logic
Calculus and algebra (Correct answer)

Correct answer: Calculus and algebra

The ESAT Mathematics component assesses calculus, algebra, geometry, and other core mathematical skills.

Question 72: Which of the following subjects is most likely to be covered in the ESAT?

Art History
Organic Chemistry (Correct answer)
World History
Literature Analysis

Correct answer: Organic Chemistry

The ESAT is designed to assess foundational knowledge in engineering and science subjects. Organic Chemistry is a fundamental branch of chemistry that is highly relevant to many engineering and science disciplines, making it a likely topic for inclusion. In contrast, World History, Literature Analysis, and Art History fall outside the typical scope of a specialized engineering and science admissions test.

Question 73: What is a buffer solution?

A solution that conducts electricity
A solution of neutral pH
A solution that resists pH change on addition of small amounts of acid or base (Correct answer)
A solution that changes colour with pH

Correct answer: A solution that resists pH change on addition of small amounts of acid or base

A buffer solution contains a weak acid and its conjugate base, resisting pH change when small amounts of acid or alkali are added.

Question 74: Which type of institution is most likely to use the ESAT for selecting candidates?

Liberal Arts Colleges
Culinary Institutes
Technical Universities and Engineering Schools (Correct answer)
Music Conservatories

Correct answer: Technical Universities and Engineering Schools

The ESAT is tailored for evaluating candidates for engineering and science fields. Consequently, Technical Universities and Engineering Schools are the institutions most likely to utilize this test. These specialized institutions focus heavily on STEM disciplines and require applicants to demonstrate strong foundational knowledge in these areas.

Question 75: What is the pH of a solution with [H⁺] = 1 × 10⁻³ mol/L?

7
3 (Correct answer)
11
-3

Correct answer: 3

pH = -log[H⁺] = -log(10⁻³) = 3.

Question 76: In the human nervous system, what is the role of a synapse?

The junction where signals are transmitted between neurons via neurotransmitters (Correct answer)
The region that myelinates axons
The site where action potentials are generated
The structure that stores neurotransmitters permanently

Correct answer: The junction where signals are transmitted between neurons via neurotransmitters

A synapse is the gap between two neurons where neurotransmitters are released to transmit signals across the junction.

Question 77: What does Le Chatelier's Principle state in chemical equilibrium?

A system at equilibrium will shift to oppose any imposed change (Correct answer)
Catalysts shift equilibrium to the right
Temperature has no effect on equilibrium position
Equilibrium always favours the forward reaction

Correct answer: A system at equilibrium will shift to oppose any imposed change

Le Chatelier's Principle states that a system at equilibrium responds to a stress by shifting to minimise that stress.

Question 78: In ESAT Chemistry, what is the first ionisation energy?

Energy released when one electron is gained
Energy required to melt one mole of a substance
Energy to break one mole of bonds
Energy to remove one electron from a gaseous atom (Correct answer)

Correct answer: Energy to remove one electron from a gaseous atom

First ionisation energy is the energy needed to remove one mole of electrons from one mole of gaseous atoms.

Question 79: What is the value of sin(π/6)?

√3/2
1/2 (Correct answer)
√2/2
1

Correct answer: 1/2

sin(30°) = sin(π/6) = 1/2 is a standard trigonometric value.

Question 80: What is Newton's second law of motion as typically tested in the ESAT Physics section?

E = mc²
F = mv
p = mv²
F = ma (Correct answer)

Correct answer: F = ma

Newton's second law states that the net force equals mass multiplied by acceleration (F = ma).

ESAT Engineering and Science Admissions Test

The ESAT (Engineering and Science Admissions Test) is used by Cambridge, Imperial College London, and other UK universities for engineering and science admission. It assesses mathematics, physics, chemistry, and biology across multiple timed paper sections.

Questions

120 min

Time Limit

60%

To Pass

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