Number:Multiples, Factors, Prime numbers, Fractions, Decimals, Percentages, Rounding numbers, Estimating, Surds.
Algebra: Algebra basics, Powers and Roots, Multiplying out brackets, Factorising, Solving equations, Rearranging formulas, Factorising quadratics, Completing the square, Algebraic fractions, Sequences, Inequalities, Graphic inequalities, Iterative methods, Simultaneous equations, Proof, Functions.
Graphs: Straight lines, Gradients, Intercepts, Coordinates and ratio, Parallel and perpendicular lines, Quadratic graphs, Solving equations using graphs, Graph transformations, Real-life graphs.
Ratio proportion & rates of change: Ratios, Direct and inverse proportion, Percentages, Compound growth and decay, Unit conversions, Speed, Density, Pressure.
Geometry & measures: Angles, Parallel lines, Polygons, Triangles and quadrilaterals, Circle geometry, Congruent shapes, The four transformations, Area and perimeter, 3D shapes, Enlargements and projections, Loci and construction, Bearings, Measures, Pythagoras’ theorem, Trigonometry, The Sine and Cosine rules, Vectors.
Statistics & probability: Probability basics, Counting outcomes, Probability experiments, The AND/OR rules, Tree diagrams, Conditional probability, Sets and Venn diagrams, Sampling and bias, Mean, Median, Mode, Range, Frequency tables, Box plots, Histograms, Time series, Scatter graphs, Comparing data sets.
At Merit Tutors, our courses are designed to build on each learner’s existing knowledge while developing critical thinking and identifying gaps in understanding. Our aim is to strengthen applied learning through targeted strategies that ensure every student progresses with confidence. Led by qualified and experienced teachers, we specialise in preparing children of all abilities for their exams. With a deep understanding of what Maths examiners look for, we focus on:
We use a range of proven revision methods to help students get the most out of each course. Our teaching blends tutor-led instruction with pupil-led activities, ensuring that all learning styles are catered for. Our methods include:
Past Papers: Regular practice with real past paper questions helps students apply their knowledge in a relevant context, understand exam expectations, and refine their answers for maximum marks.
Mock Tests: Tutors conduct mock exams under exam conditions to simulate the real experience. This helps identify progress and pinpoint areas that need further improvement.
Teacher Notes: Parents and carers have access to online records to track their child’s progress and engagement with the course.
Paper Feedback: Learners receive clear, written feedback to help consolidate learning at home and improve exam responses.
Homework: Regular homework assignments help students reinforce their understanding and apply concepts independently outside of class.
Our goal is to provide a supportive and effective learning environment that maximises each student’s potential.