Strong foundations
Secure number, algebra, geometry and data skills.
MathLinks Programme
Mathematics Challenge Foundations
Strong foundations. Deeper reasoning. Confident mathematicians.
A progressive Mathematics Foundations programme for Years 6–11 combining secure school mathematics with deeper reasoning, problem solving and age-appropriate competition preparation.
Students select their year group, take the corresponding pre-course assessment, and enrol into an appropriate batch.
Live onlineinteractive classes
Small groupsactive participation
Structured progressclear learning journey
Assignments, quizzeswith feedback
Competition thinkingunfamiliar problems
What students develop
Strong foundations. Confident mathematicians.
Deep reasoning
Explain, compare and justify methods rather than relying on memorised steps.
Active participation
Small-group teaching designed to keep every student involved.
Competition thinking
Progressive challenge problems matched to the student's year group.
How we teach
Interactive. Structured. Thoughtful.
- Concept-first teaching. Students understand ideas before relying on procedures.
- Live discussion. Students explain, compare and justify their approaches.
- Everyone participates. Small-group teaching creates space for every student to contribute.
- Practice with purpose. Assignments, quizzes reinforce learning and expose gaps early.
- Progressively harder problems. Students learn to approach unfamiliar questions with confidence.
Programme curriculum preview
What the student will learn
Number and number theory
Secure number fluency while learning to notice structure and exploit divisibility.
- Factors and multiples
- Prime factorisation
- Divisibility rules
- Common factors and common multiples
- Powers and square numbers
- Remainders and number patterns
Fractions, ratio and proportion
Build flexible methods for comparing, scaling and solving multi-step proportional problems.
- Equivalent fractions
- Fractions of quantities
- Ratio notation and simplification
- Scaling recipes and measures
- Percentages and percentage change
- Multi-step proportion problems
Algebraic thinking
Move from arithmetic patterns to concise symbolic reasoning.
- Function machines
- Sequences and missing terms
- Forming simple expressions
- Substitution
- One-step and two-step equations
- Reasoning from patterns
Geometry and measure
Develop accurate spatial reasoning with shapes, angles and measurement.
- Angle facts
- Triangles and quadrilaterals
- Coordinates in four quadrants
- Area and perimeter
- Volume of cubes and cuboids
- Geometric problem solving
Probability and data
Interpret information carefully and reason about chance using precise language.
- Tables and charts
- Mean and range
- Pie-chart interpretation
- Probability scale
- Equally likely outcomes
- Comparing data sets
Combinatorics and challenge
Prepare for non-routine Primary Maths Challenge style problems without relying on memorised procedures.
- Systematic listing
- Counting arrangements
- Logic puzzles
- Working backwards
- Invariant and pattern spotting
- Primary Maths Challenge style problems
Available classes
Choose a class that works for you
Mathematics Challenge Foundations - Year 6 - Monday 5:00-6:00 pm
OnlineSchedule: Monday · 5:00–6:00 PM
Timezone: Europe/London
Starts: 2 Nov 2026
Location: MathLinks Learning Portal
Not ready to commit? Request a demo →
Number and number theory
Strengthen integer fluency and begin using number structure more strategically.
- Directed numbers
- Prime factors
- HCF and LCM
- Powers and roots
- Divisibility
- Remainder reasoning
Fractions, ratio and proportion
Connect fractions, decimals, percentages and ratio in increasingly complex contexts.
- Fraction operations
- Percentage multipliers
- Ratio and sharing
- Unitary method
- Rates
- Proportion problems
Algebraic thinking
Represent relationships algebraically and solve progressively richer problems.
- Simplifying expressions
- Expanding single brackets
- Linear equations
- Sequences
- Coordinates and straight-line patterns
- Algebraic reasoning
Geometry
Use angle, symmetry and construction facts to solve multi-step geometric problems.
- Parallel-line angles
- Properties of polygons
- Transformations
- Scale drawings
- Area of compound shapes
- Geometric constructions
Probability and data
Analyse distributions and simple experiments using appropriate statistical measures.
- Averages
- Frequency tables
- Grouped data introduction
- Experimental probability
- Sample spaces
- Misleading graphs
Competition problem solving
Develop the flexible thinking used in the UKMT Junior Mathematical Challenge.
- Logical deduction
- Diagram problems
- Counting methods
- Number puzzles
- Strategy selection
- UKMT JMC-style challenge problems
Available classes
Choose a class that works for you
Mathematics Challenge Foundations - Year 7 - Monday 6:15-7:15 pm
OnlineSchedule: Monday · 6:15–7:15 PM
Timezone: Europe/London
Starts: 2 Nov 2026
Location: MathLinks Learning Portal
Not ready to commit? Request a demo →
Number and number theory
Extend fluency with indices, roots and number structure for harder reasoning problems.
- Index laws
- Squares, cubes and roots
- Prime-factor arguments
- Standard form introduction
- Recurring patterns
- Modular-style remainder problems
Ratio, proportion and percentages
Solve compound proportional problems efficiently and explain why methods work.
- Direct proportion
- Percentage increase and decrease
- Reverse percentages
- Scale factors
- Rates and unit pricing
- Multi-stage ratio problems
Algebra and graphs
Link symbolic manipulation to graphical representation and structured proof.
- Expanding and factorising
- Linear equations
- Inequalities
- Straight-line graphs
- Sequences and nth term
- Algebraic proof introduction
Geometry and transformations
Combine angle facts, transformations and coordinate reasoning in unfamiliar settings.
- Polygon angles
- Congruence
- Similarity introduction
- Transformations
- Coordinate geometry
- Pythagoras introduction
Probability and statistics
Use multiple representations to interpret uncertainty and compare data.
- Two-way tables
- Sample spaces
- Relative frequency
- Scatter graphs
- Grouped-data summaries
- Comparing distributions
JMC and Olympiad thinking
Build depth for UKMT Junior Mathematical Challenge and Junior Mathematical Olympiad style reasoning.
- Proof by cases
- Non-routine geometry
- Combinatorial counting
- Number theory puzzles
- Extremal reasoning
- JMC/JMO-style problems
Available classes
Choose a class that works for you
Mathematics Challenge Foundations - Year 8 -Tuesday 5:00-6:15 pm
OnlineSchedule: Tuesday · 5:00–6:15 PM
Timezone: Europe/London
Starts: 3 Nov 2026
Location: MathLinks Learning Portal
Not ready to commit? Request a demo →
Number, indices and surds
Consolidate core GCSE number work while pushing into deeper structural reasoning.
- Index laws
- Standard form
- Bounds
- Surds introduction
- Prime-factor methods
- Number-theory reasoning
Algebra and functions
Develop confident manipulation and connect equations, sequences and graphs.
- Linear and quadratic expressions
- Factorisation
- Simultaneous equations introduction
- Inequalities
- Sequences
- Function notation introduction
Geometry and trigonometry
Combine classical geometry with coordinate and trigonometric methods.
- Pythagoras
- Right-angle trigonometry
- Similarity
- Circle geometry introduction
- Coordinate geometry
- Geometric proof
Ratio, rates and proportional reasoning
Model real and abstract problems using proportional relationships.
- Direct and inverse proportion introduction
- Compound measures
- Growth and decay
- Best buys
- Scale and similarity
- Multi-step percentage problems
Probability and statistics
Reason from distributions, samples and combined events.
- Tree diagrams introduction
- Venn diagrams
- Conditional reasoning introduction
- Histograms introduction
- Scatter graphs
- Sampling and bias
Intermediate challenge
Develop UKMT Intermediate Mathematical Challenge style problem solving across number, algebra, geometry and combinatorics.
- Invariants
- Pigeonhole-style reasoning
- Counting
- Diophantine-style puzzles
- Geometric constructions
- IMC-style problems
Available classes
Choose a class that works for you
Mathematics Challenge Foundations - Year 9 -Wednesday 5-6:15 pm
OnlineSchedule: Wednesday · 5:00–6:15 PM
Timezone: Europe/London
Starts: 4 Nov 2026
Location: MathLinks Learning Portal
Not ready to commit? Request a demo →
Advanced number
Use exact forms, bounds and indices confidently in unfamiliar problems.
- Surds
- Fractional and negative indices
- Standard form
- Upper and lower bounds
- Recurring decimals
- Number-theory extensions
Algebra, equations and graphs
Move fluently between algebraic, numerical and graphical representations.
- Quadratics
- Simultaneous equations
- Inequalities
- Functions
- Sequences
- Graph transformations introduction
Geometry and trigonometry
Solve demanding multi-step problems using proof, trigonometry and circle results.
- Circle theorems
- Trigonometric ratios
- Bearings
- Similarity and congruence
- Vectors
- Coordinate geometry
Probability and statistics
Model compound events and interpret data critically.
- Tree diagrams
- Conditional probability
- Venn diagrams
- Histograms
- Cumulative frequency
- Box plots
Reasoning and proof
Build mathematical maturity through justification rather than answer-only methods.
- Algebraic proof
- Counterexamples
- Geometric proof
- Inequality reasoning
- Pattern generalisation
- Multi-step modelling
IMC and olympiad-style problem solving
Practise non-routine UKMT Intermediate Mathematical Challenge and follow-on olympiad-style questions.
- Number theory
- Combinatorics
- Euclidean geometry
- Functional patterns
- Extremal arguments
- IMC/olympiad-style problems
Available classes
Choose a class that works for you
Mathematics Challenge Foundations - Year 10 - Wednesday 6:15-7:45 pm
OnlineSchedule: Wednesday · 6:15–7:45 PM
Timezone: Europe/London
Starts: 4 Nov 2026
Location: MathLinks Learning Portal
Not ready to commit? Request a demo →
Number and exact mathematics
Refine exact calculation and number reasoning for high-attaining GCSE work and beyond.
- Surds and exact values
- Indices
- Bounds
- Recurring decimals
- Proof with divisibility
- Number-theory problems
Algebra and functions
Solve and interpret advanced algebraic relationships efficiently and rigorously.
- Quadratics and completing the square
- Simultaneous equations
- Functions and iteration
- Algebraic fractions
- Sequences
- Graph transformations
Geometry, vectors and trigonometry
Integrate geometric facts with vector and trigonometric reasoning.
- Circle theorems
- Vectors
- Similarity
- Trigonometric modelling
- Coordinate geometry
- Geometric proof
Probability and statistics
Analyse compound probability and data representations with careful interpretation.
- Conditional probability
- Tree diagrams
- Histograms
- Cumulative frequency
- Box plots
- Sampling and inference
Proof and mathematical reasoning
Prepare for the transition to advanced study through concise, logically complete arguments.
- Direct proof
- Proof by contradiction introduction
- Disproof by counterexample
- Inequalities
- Functional reasoning
- Multi-topic synthesis
Competition and transition challenge
Use UKMT Intermediate Mathematical Challenge and olympiad-style problems to deepen pre-A-level mathematical maturity.
- Advanced counting
- Number theory
- Non-routine geometry
- Algebraic inequalities
- Strategy comparison
- IMC/olympiad-style problems
Available classes
Choose a class that works for you
Mathematics Challenge Foundations - Year 11 - Friday 5:00-6:30 pm
OnlineSchedule: Friday · 5:00–6:30 PM
Timezone: Europe/London
Starts: 6 Nov 2026
Location: MathLinks Learning Portal
Not ready to commit? Request a demo →
2-Session Confidence Guarantee
Attend the first two live sessions. If the programme is not right for you, notify us before the third live session begins and we will refund the course fees paid, subject to the published terms.