Primary 1 to 6

Primary maths olympiad topics

35 topics, each in levels from easy to competition standard. Every topic page has a free question to try, with hints and a worked solution.

Word problems10 topics

Sum and differenceP1–P6You know two numbers' total and their difference; find each number.
Sum and multipleP3–P6You know two numbers' total (or difference) and that one is so many times the other; find each.
Chickens and rabbitsP2–P6Two kinds of thing mixed together: you know how many there are and how many legs (wheels, seats, points) in all; find how many of each.
Age problemsP1–P4Problems about people's ages: years later or earlier, what their total, difference or multiple becomes.
Surplus and shortageP2–P6Sharing things out two ways — once with some left over, once short — to find how many people and how many things.
Working backwardsP2–P6You know the result after a chain of changes; work back to the number at the start.
AveragesP4–P6Average = total ÷ how many; these problems use how the total and the count are linked.
Tree plantingP2–P6Planting trees evenly along a road or round a loop: how the number of trees and the number of gaps are linked.
Climbing out of a wellP2–P4A snail (or frog) climbs by day and slips back at night; on which day does it get out?
Work problemsP3–P6Several people (or machines, pipes) sharing a job: how long it takes.

Journeys4 topics

Number theory3 topics

Fractions and ratios3 topics

Geometry4 topics

Counting and logic7 topics

Calculation and patterns4 topics

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Non-verbal reasoning, word problems in the British style and international competition questions, graded by target level, each with a step-by-step solution.

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