Σ TMUA Practice

Mock papers

Generated papers in the real format: 20 questions, 75 minutes, answer grid, no calculator. Sit them online with a countdown and automatic marking (score, grade estimate from the published conversion, and a breakdown by topic), or print the PDFs and mark yourself from the solutions booklet.

24 papersAuto-markedGrade estimate

Questions rotate through the whole bank so every set is different; harder questions come later in each paper, as in the real test. The grade estimate uses the 2022 conversion table - real boundaries move a little every year (see all conversion tables).

Paper 1 Applications of Mathematical Knowledge

PaperTopics coveredYour score
Set 01Binomial expansion, Circles and circle theorems, Exponentials and logarithms, GCSE algebra, Graphs of functions, Indices and surds, Integration, Number, units and estimation...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 02Angles, polygons, congruence and vectors, Differentiation, Exponentials and logarithms, Functions and transformations, GCSE algebra, Graphs of functions, Integration, Number, units and estimation...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 03Binomial expansion, Differentiation, Functions and transformations, GCSE algebra, Graphs of functions, Indices and surds, Integration, Polynomials, factor and remainder theorems...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 04Binomial expansion, Differentiation, Functions and transformations, GCSE algebra, Graphs of functions, Indices and surds, Integration, Number, units and estimation...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 05Circles and circle theorems, Differentiation, Exponentials and logarithms, Functions and transformations, Graphs of functions, Integration, Number, units and estimation, Polynomials, factor and remainder theorems...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 06Angles, polygons, congruence and vectors, Binomial expansion, Circles and circle theorems, Differentiation, Exponentials and logarithms, Functions and transformations, GCSE algebra, Indices and surds...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 07Differentiation, Functions and transformations, Graphs of functions, Indices and surds, Integration, Probability, Quadratic functions, Sequences and series...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 08Binomial expansion, Circles and circle theorems, Exponentials and logarithms, Functions and transformations, GCSE algebra, Indices and surds, Polynomials, factor and remainder theorems, Probability...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 09Angles, polygons, congruence and vectors, Differentiation, Exponentials and logarithms, Functions and transformations, Graphs of functions, Integration, Polynomials, factor and remainder theorems, Probability...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 10Angles, polygons, congruence and vectors, Binomial expansion, Differentiation, Exponentials and logarithms, Functions and transformations, GCSE algebra, Graphs of functions, Indices and surds...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 11Angles, polygons, congruence and vectors, Binomial expansion, Circles and circle theorems, Differentiation, Indices and surds, Integration, Number, units and estimation, Polynomials, factor and remainder theorems...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 12Angles, polygons, congruence and vectors, Binomial expansion, Circles and circle theorems, Differentiation, Exponentials and logarithms, Functions and transformations, GCSE algebra, Graphs of functions...Sit onlineQuestion paper (PDF)Solutions (PDF)-

Paper 2 Mathematical Reasoning

PaperTopics coveredYour score
Set 01Binomial expansion, Chains of reasoning, Differentiation, Exponentials and logarithms, Functions and transformations, Identifying errors in proofs, Mathematical proof, Polynomials, factor and remainder theorems...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 02Chains of reasoning, Differentiation, Graphs of functions, Identifying errors in proofs, Mathematical proof, Polynomials, factor and remainder theorems, Quadratic functions, Sequences and series...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 03Chains of reasoning, Differentiation, Exponentials and logarithms, Functions and transformations, GCSE algebra, Graphs of functions, Identifying errors in proofs, Indices and surds...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 04Chains of reasoning, Circles and circle theorems, Differentiation, Exponentials and logarithms, Identifying errors in proofs, Indices and surds, Integration, Mathematical proof...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 05Angles, polygons, congruence and vectors, Chains of reasoning, Circles and circle theorems, Identifying errors in proofs, Indices and surds, Integration, Mathematical proof, Quadratic functions...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 06Angles, polygons, congruence and vectors, Chains of reasoning, Circles and circle theorems, Differentiation, Exponentials and logarithms, Identifying errors in proofs, Indices and surds, Mathematical proof...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 07Binomial expansion, Chains of reasoning, Differentiation, Graphs of functions, Identifying errors in proofs, Integration, Mathematical proof, Polynomials, factor and remainder theorems...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 08Chains of reasoning, Circles and circle theorems, Functions and transformations, Graphs of functions, Identifying errors in proofs, Mathematical proof, Number, units and estimation, Quadratic functions...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 09Chains of reasoning, Circles and circle theorems, Exponentials and logarithms, Graphs of functions, Identifying errors in proofs, Mathematical proof, Polynomials, factor and remainder theorems, Probability...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 10Chains of reasoning, Circles and circle theorems, Functions and transformations, Identifying errors in proofs, Indices and surds, Integration, Mathematical proof, Sequences and series...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 11Chains of reasoning, Differentiation, Exponentials and logarithms, Graphs of functions, Identifying errors in proofs, Indices and surds, Mathematical proof, Quadratic functions...Sit onlineQuestion paper (PDF)Solutions (PDF)-
Set 12Angles, polygons, congruence and vectors, Binomial expansion, Chains of reasoning, Circles and circle theorems, Differentiation, Identifying errors in proofs, Integration, Mathematical proof...Sit onlineQuestion paper (PDF)Solutions (PDF)-