Maths lessons
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21 lessons to explore
LCM
Find the first shared multiple, understand why prime powers work, and solve repeating-event problems with confidence.
Number System
Build a toolkit for factors, primes, divisibility and remainders—the foundations behind fast arithmetic.
Simplification
Read expressions correctly, use equal-priority operations from left to right, and spot useful arithmetic shortcuts.
Fractions and Decimals
See equivalent fractions, combine equal-sized parts, and move confidently between fractions and decimal notation.
Percentage
Turn percentages into pictures, compare changes fairly, and recover an original value after a percentage change.
Ratio and Proportion
Use equal-sized ratio units to compare quantities, divide a total, and recognise direct and inverse relationships.
Average
Understand the mean as a fair share, reconstruct totals, and combine groups without losing their sizes.
Profit Loss and Discount
Separate cost price, marked price and selling price, then calculate percentage changes using the correct base.
Simple Interest
Model interest that adds the same amount each year, and solve for principal, rate or time.
Compound Interest
Follow an amount from one period to the next, understand compounding, and compare it with simple interest.
Time and Work
Treat one job as a whole, translate time into work rate, and combine workers without adding their completion times.
Pipes and Cisterns
Model filling and emptying as signed rates, and decide whether a tank will fill at all.
Speed Distance and Time
Relate distance to travel time, convert units, and calculate average speed for an entire journey.
Trains
Choose the correct crossing distance and relative speed for poles, platforms and moving trains.
Boats and Streams
Understand how current changes a boat's speed over the ground and recover still-water speed from a round trip.
Ages
Translate age statements into equations and use the fact that age differences stay constant while ratios change.
Mixture and Alligation
Use conservation of quantity to find a mixture's average and derive the alligation ratio instead of memorising a cross.
Mensuration 2D
Distinguish perimeter from area, understand the triangle's half-rectangle rule, and measure circles and composite shapes.
Mensuration 3D
Read solid shapes as layers, distinguish volume from surface area, and choose the right faces for covering problems.
Permutation and Combination
Build counts from choices, distinguish arrangements from selections, and avoid counting the same outcome more than once.
Competitive Maths Mock Test
Bring the topics together with estimation, a repeatable solving routine, and a practical way to review your mistakes.
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