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Free 11+ and KS2 maths practice

500 questions, free, with the working shown after every answer. Twelve at a time, nothing timed and nothing recorded.

Place value and rounding

Read large numbers, say what each digit is worth, and round to any place.

20 questions

Negative numbers

Count through zero on a number line, the way temperatures do on a cold night.

20 questions

Factors, multiples and primes

Highest common factors, lowest common multiples, prime numbers and square numbers.

20 questions

Long multiplication

The written method for multiplying by a two-digit number, including the zero everyone forgets.

20 questions

Division

Short and long division, and what to do with the remainder once you have it.

20 questions

Order of operations

Brackets, powers, then multiply and divide, then add and subtract. Not left to right.

20 questions

Equivalent fractions

Fractions that look different and are worth the same, and how to simplify them.

20 questions

Adding and subtracting fractions

Common denominators, mixed numbers, and why you never add the bottoms.

20 questions

Multiplying and dividing fractions

Multiply straight across; divide by making the pieces smaller.

20 questions

Fractions of amounts

Divide by the bottom, multiply by the top — and the same in reverse.

20 questions

Decimals

Adding and subtracting money, and multiplying or dividing by 10, 100 and 1,000.

20 questions

Fractions, decimals and percentages

The same amount in three forms, and how to compare them once they match.

20 questions

Percentages

Percentages of amounts, sale prices, and working out what percentage one number is of another.

20 questions

Ratio and proportion

Sharing in a given ratio and scaling a recipe up or down.

20 questions

Algebra: substitution

Putting numbers in place of letters, and reading a formula as an instruction.

20 questions

Solving equations

Undoing operations in reverse order, and turning a word problem into an equation first.

20 questions

Sequences

Finding the step, filling a gap, and using an nth term rule to jump ahead.

20 questions

Perimeter and area

Rectangles, triangles and L-shapes, and knowing which one the question wants.

20 questions

Volume and capacity

Cuboids, missing dimensions, and litres poured into millilitres.

20 questions

Angles

Angles on a line, around a point, and inside triangles and quadrilaterals.

20 questions

Coordinates

Reading and writing coordinates, translating a point, and finding a missing corner.

20 questions

Time and timetables

The 24-hour clock, journey times, and adding minutes without writing 14:73.

20 questions

Money

Change from a note, and working out which pack is genuinely better value.

20 questions

Units and measures

Millimetres to kilometres, grams to kilograms, and problems that mix two units.

20 questions

Averages and range

Mean, median, mode and range, and working backwards from an average to a missing value.

20 questions