TMUA

Course Features
No of Sessions	12
No of Hours	24
Content	Yes
No of Students	5 per classroom batch 3 for online batch

---

The Test of Mathematics for University Admission (TMUA) is a 2.5-hour, computer-based exam used by UK universities (e.g., LSE, Imperial, Durham) to assess mathematical thinking for economics, computer science, and math degrees. It consists of two 75-minute papers covering AS-level math, logic, and reasoning. Registration opens July 20, 2026, with tests in October/January.

Key TMUA Details

• Purpose: Tests mathematical reasoning rather than just knowledge.
• Structure: Two papers with 20 multiple-choice questions each, no calculator allowed.
• Scoring: Scores range from 1 (low) to 9 (high).
• Cost: Approximately £75, with bursaries available for UK students.
• Test Dates (2026-27): October 12–16, 2026 (preferred) or January 4–8, 2027.
• Registration: Must be done via Pearson VUE.

What is Assessed

The TMUA covers content from higher-level GCSE and AS-level Mathematics, including:

• Paper 1: Application of Mathematical Knowledge.
• Paper 2: Mathematical Reasoning and elementary logic.

Complete Curriculum

Session	Topic Area	Content Focus
1	Number Skills	Indices, surds, fractions, standard form
2	Algebra I	Expanding, factorising, rearranging, quadratics
3	Algebra II	Inequalities, simultaneous equations
4	Functions	Composite, inverse, domain/range
5	Graphs I	Sketching basic graphs
6	Graphs II	Transformations, modulus functions
7	Sequences	Arithmetic, geometric
8	Series	Sum formulas, convergence
9	Coordinate Geometry I	Straight lines
10	Coordinate Geometry II	Circles, intersections
11	Trigonometry I	Basic ratios, graphs
12	Trigonometry II	Identities, equations
13	Exponentials & Logs	Laws + solving equations
14	Calculus I	Differentiation (all powers)
15	Calculus II	Stationary points, optimisation
16	Calculus III	Basic integration & area
17	Probability I	Basic rules, tree diagrams
18	Probability II	Conditional probability
19	Combinatorics	Permutations, combinations
20	Problem Solving	Modelling word problems
21	Logic I	Statements, conditions
22	Logic II	Proof, contradiction, validity
23	Paper Practice	Paper 1 timed
24	Full Mock + Review	Paper 2 + error analysis

Module: Mathematics 1

Session	Area	Topic	Subtopics
1	Maths 1	Number & Units	Standard form, sig. figs, unit conversions, estimation, orders of magnitude
2	Maths 1	Ratios & Proportion	Fractions, percentages, ratios, direct/inverse proportion
3	Maths 1	Algebra Basics	Expressions, rearranging, factorisation
4	Maths 1	Algebra Advanced	Quadratics, inequalities, simultaneous equations
5	Maths 1	Geometry	Angles, polygons, circles, area, volume
6	Maths 1	Trigonometry	SOHCAHTOA, sine/cosine rule (basic), bearings
7	Maths 1	Statistics	Averages, spread, interpreting graphs
8	Maths 1	Probability	Tree diagrams, conditional probability, independence

Module: Mathematics 2

Session	Area	Topic	Subtopics
1	Maths 2	Algebra & Functions	Indices, surds, functions, composite/inverse functions
2	Maths 2	Graphs & Transformations	Graph sketching, transformations, inequalities
3	Maths 2	Coordinate Geometry	Straight lines, circles, intersections
4	Maths 2	Trigonometry	Identities, radians, trig graphs
5	Maths 2	Exponentials & Logs	Laws of logs, exponential growth/decay
6	Maths 2	Calculus I	Differentiation basics, gradients
7	Maths 2	Calculus II	Tangents, optimisation, rates of change
8	Maths 2	Sequences & Series	Arithmetic, geometric, sigma notation, modelling

Module: Physics

Session	Area	Topic	Subtopics
1	Physics	Motion	Scalars/vectors, SUVAT, graphs of motion
2	Physics	Forces	Newton's laws, friction, free-body diagrams
3	Physics	Energy	Work done, KE, GPE, conservation, efficiency
4	Physics	Materials & Pressure	Density, pressure in fluids, stress/strain
5	Physics	Waves	Wave properties, speed, refraction, reflection
6	Physics	Electricity I	Charge, current, potential difference
7	Physics	Electricity II	Resistance, circuits, power, IV graphs
8	Physics	Advanced Physics	Magnetism, electromagnetic induction, radioactivity, uncertainties

Module: Chemistry

Session	Area	Topic	Subtopics
1	Chemistry	Atomic Structure	Subatomic particles, isotopes, electron configuration
2	Chemistry	Periodicity	Trends, atomic radius, ionisation energy, group properties
3	Chemistry	Bonding & Structure	Ionic, covalent, metallic, intermolecular forces
4	Chemistry	Quantitative Chemistry	Moles, empirical/molecular formula, % yield, atom economy
5	Chemistry	Chemical Reactions	Types, balancing, acids/bases, salts
6	Chemistry	Redox	Oxidation states, electron transfer, electrolysis basics
7	Chemistry	Energetics	Enthalpy, bond energies, reaction profiles
8	Chemistry	Rates & Equilibrium	Collision theory, rate factors, Le Chatelier, equilibrium constants

Module: Biology

Session	Area	Topic	Subtopics
1	Biology	Cells	Prokaryotic vs eukaryotic, organelles, microscopy
2	Biology	Membranes & Transport	Diffusion, osmosis, active transport
3	Biology	Cell Cycle	Mitosis, meiosis, stem cells
4	Biology	Genetics	DNA structure, inheritance, Punnett squares, variation
5	Biology	Enzymes	Lock-and-key, induced fit, temperature/pH effects
6	Biology	Human Physiology	Heart, lungs, digestion, transport systems
7	Biology	Plants & Ecosystems	Photosynthesis, nutrient cycles, food webs
8	Biology	Advanced Biology	Genetic engineering, evolution, selection, data interpretation