Year 6 Maths End Points

According to the 2014 National Curriculum in England, by the end of Year 6, students should have achieved specific endpoints in Maths. These learning objectives prepare them for the transition to secondary school and cover various critical areas including number sense, algebraic understanding, geometry, measurement, and statistics. Below are the key endpoints your Year 6 students should master:
 

1. Number and Place Value

• Understand and use place value for decimals, measures, and integers of any size.
• Use negative numbers in context, and calculate intervals across zero.

2. Number - Addition, Subtraction, Multiplication, and Division

• Perform mental calculations, including with mixed operations and large numbers.
• Use their knowledge of the order of operations to carry out calculations involving the four operations.
• Multiply multi-digit numbers up to 4 digits by a two-digit whole number using a formal written method of long multiplication.
• Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context.

3. Fractions (including Decimals and Percentages)

• Use common factors to simplify fractions; use common multiples to express fractions in the same denomination.
• Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions.
• Multiply simple pairs of proper fractions, writing the answer in its simplest form.
• Divide proper fractions by whole numbers.
• Associate a fraction with division and calculate decimal fraction equivalents.
• Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100, and 1000 where the answers are up to three decimal places.
• Multiply one-digit numbers with up to two decimal places by whole numbers.
• Use written division methods in cases where the answer has up to two decimal places.
• Solve problems which require answers to be rounded to specified degrees of accuracy.
• Recall and use equivalences between simple fractions, decimals, and percentages, including in different contexts.

4. Ratio and Proportion

• Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts.
• Solve problems involving the calculation of percentages and the use of percentages for comparison.
• Solve problems involving similar shapes where the scale factor is known or can be found.
• Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.

5. 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.
• Enumerate possibilities of combinations of two variables.

6. Measurement

• Convert between different units of metric measure.
• Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds, and pints.
• Calculate the area of parallelograms and triangles.
• Calculate, estimate, and compare volume of cubes and cuboids using standard units, including cubic centimetres and cubic metres, and extending to other units.

7. Geometry - Properties of Shapes

• Draw 2-D shapes using given dimensions and angles.
• Recognise, describe and build simple 3-D shapes, including making nets.
• Compare and classify geometric shapes based on their properties and sizes.
• Find unknown angles in any triangles, quadrilaterals, and regular polygons.
• Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

8. Geometry - Position and Direction

• Describe positions on the full coordinate grid (all four quadrants).
• Draw and translate simple shapes on the coordinate plane, and reflect them in the axes.

9. Statistics

• Interpret and construct pie charts and line graphs and use these to solve problems.
• Calculate and interpret the mean as an average.

These endpoints provide a comprehensive overview of the mathematical skills that students should acquire by the end of Year 6, ensuring readiness for more advanced studies in secondary school.