The Year 6 Math National Curriculum in the UK covers a range of topics designed to build upon the mathematical knowledge and skills developed in previous years. Here is a detailed breakdown of the main areas covered in Year 6:
Number and Place Value:
 Read, write, order, and compare numbers up to 10,000,000.
 Recognize the value of each digit in a number and multiply and divide numbers by 10, 100, and 1,000.
 Round numbers to the nearest 10, 100, 1,000, 10,000, and 100,000.
Addition and Subtraction:

 Add and subtract whole numbers with up to 6 digits using efficient methods.
 Use estimation and inverse operations to check answers.
 Solve addition and subtraction problems, including missing number problems.
Multiplication and Division:

 Multiply and divide numbers mentally, including decimals and large numbers.
 Use efficient written methods for multiplication and division.
 Solve multiplication and division problems, including scaling problems and finding factors and multiples.
Fractions, Decimals, and Percentages:
 Recognize and write decimal equivalents of fractions and vice versa.
 Compare and order fractions, including those with different denominators.
 Add and subtract fractions with different denominators and mixed numbers.
 Multiply proper fractions and mixed numbers by whole numbers.
 Find the percentage of a given amount.
Ratio and Proportion:
 Solve problems involving the relative sizes of two quantities using ratio and proportion.
 Solve problems involving percentage increase, decrease, or comparison.
Algebra:
 Use simple formulae.
 Generate and describe linear number sequences.
 Express missing number problems algebraically.
 Find pairs of numbers that satisfy an equation with two unknowns.
Geometry:
 Draw 2D shapes and make 3D shapes using modeling materials.
 Recognize and classify shapes based on their properties, including angles and lines of symmetry.
 Identify and describe the properties of triangles, quadrilaterals, pentagons, hexagons, and octagons.
 Calculate the area and perimeter of shapes.
 Identify and describe the properties of circles, including the radius, diameter, and circumference.
Measurement:
 Convert between different units of measure (e.g., kilometers to meters).
 Calculate the perimeter and area of rectangles and related composite shapes.
 Estimate, compare, and calculate different measures, including money in pounds and pence.
 Solve problems involving the calculation of time intervals.
 Use metric units of measurement (including centimeters, meters, and kilometers) and estimate and compare measurements.
Statistics:
 Interpret and construct pie charts and line graphs.
 Solve comparison, sum, and difference problems using information presented in bar charts, pictograms, tables, and other graphs.
Throughout Year 6, students are encouraged to develop their problemsolving skills, apply their mathematical knowledge to reallife situations, and explain their reasoning using mathematical language. They also learn to use a range of mathematical tools, such as calculators and measuring instruments, to support their understanding and problemsolving abilities.