Year 6 maths topics

Key Stage 2 · ages 10 to 11 · 33 topics first taught in Year 6. Earlier topics keep coming back in review.

Number

Adding fractions: Add fractions with different denominators.
Dividing fractions by whole numbers: Divide a proper fraction by a whole number.
Explain your answer: Say in words how you know, as the reasoning papers ask.
Fractions, decimals and percentages: Change between fractions, decimals and percentages.
Long division: Divide numbers up to four digits by a two-digit number, and show remainders as whole numbers, fractions or decimals.
Longer test-style problems: Read a longer problem, pick out what matters, and work it out in steps.
Multi-step word problems: Plan and solve problems with more than one step.
Multiplying fractions: Multiply proper fractions together.
Negative numbers: Counting and calculating across zero.
Numbers up to ten million: Read, write, order and compare numbers up to 10,000,000 and find the value of each digit.
Order of operations: BIDMAS with brackets and powers.
Percentages of amounts: Find percentages, then increase and decrease amounts.
True or false? Is it correct?: Decide which statement is true, or whether someone's answer is right, and say why.

Scale factors and maps: Use scale factors to enlarge shapes, and use map scales.
Scaling recipes: Scale an ingredient to make a different number of servings.
Sharing in a ratio: Split an amount in a given ratio.

Listing combinations: List and count the pairs of numbers that fit a rule, and the ways of arranging digits.
Missing number equations: Find the missing number in a one-step or two-step equation.
Number sequences: Continue sequences and use a rule to find any term.
Two unknowns: Find pairs of numbers that satisfy two conditions, and test possibilities.
Using a formula: Use a simple formula for the perimeter of a rectangle.

Area of a parallelogram: Find the area of a parallelogram using its base and its perpendicular height.
Best value: Compare prices to find the best value, by working out the cost of one.
Changing currency: Convert between pounds and other currencies using an exchange rate.
Same area, different perimeter: See that shapes with the same area can have different perimeters, and the other way round.

Coordinates in all four quadrants: Use coordinates with negative numbers, and find distances and areas on the full grid.
Drawing shapes from measurements: Draw rectangles and right-angled triangles with the sizes given, on a centimetre grid.
Parts of a circle: Use the radius and the diameter of a circle.
Reflecting and translating points: Find the new coordinates of a point after a translation or a reflection.
Vertically opposite angles: Find missing angles where two straight lines cross.

Averages and range: Mean, median, mode and range.
Drawing pie chart angles: Work out the angle for each slice of a pie chart, and use angles to find amounts.
Interpreting pie charts: Use a sector's share of a whole circle to find a count.