Reasoning & Problem Solving
0 resources · Year 6 · Addition and Subtraction, Multiplication and Division · of 350
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- read, write, order and compare numbers up to 10,000,000 and determine the value of each digit21
- Round any whole number to a required degree of accuracy16
- Use simple formulae14
- Use common factors to simplify fractions; use common multiples to express fractions in the same denomination13
- Use negative numbers in context, and calculate intervals across 012
- Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why11
- Express missing number problems algebraically8
- Identify common factors, common multiples and prime numbers8
- Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions7
- Calculate and interpret the mean as an average7
- Calculate the area of parallelograms and triangles7
- Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm³) and cubic metres (m³), and extending to other units [for example, mm³ and km³]7
- Divide numbers up to 4 digits by a 2-digit whole number using the formal written method of long division7
- draw and translate simple shapes on the coordinate plane, and reflect them in the axes7
- Generate and describe linear number sequences7
- Interpret and construct pie charts and line graphs and use these to solve problems7
- recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.7
- Recognise that shapes with the same areas can have different perimeters and vice versa7
- recognise when it is possible to use formulae for area and volume of shapes7
- Solve problems involving similar shapes where the scale factor is known or can be found7
- Solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division facts7
- Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples7
- compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons6
- Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes6
- Convert between miles and kilometres6
- 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 context6
- Divide proper fractions by whole numbers6
- Find pairs of numbers that satisfy an equation with 2 unknowns6
- illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius6
- multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication6
- perform mental calculations, including with mixed operations and large numbers6
- Recognise, find and name a half as one of two equal parts of an object, shape or quantity6
- Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity6
- solve number and practical problems that involve all of the above6
- Solve problems involving addition, subtraction, multiplication and division6
- Solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriate6
- Solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison6
- Use estimation to check answers to calculations and determine in the context of a problem, an appropriate degree of accuracy6
- Use their knowledge of the order of operations to carry out calculations involving the four operations6
- use written division methods in cases where the answer has up to two decimal places6
- Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8 ]5
- Compare and order fractions, including fractions > 15
- describe positions on the full coordinate grid (all 4 quadrants)5
- multiply one-digit numbers with up to two decimal places by whole numbers5
- Multiply simple pairs of proper fractions, writing the answer in its simplest form5
- solve problems which require answers to be rounded to specified degrees of accuracy5
- Use, read, write and convert between standard units, converting measurements of length, mass, volume and time5
- enumerate possibilities of combinations of two variables.4
- Use simple algebra4
- recall and use equivalences between simple fractions, decimals and percentages including in different contexts.3
Other strands in Year 6
Back to all of Year 6 →Number & Place Value172Addition & Subtraction212Multiplication & Division223Fractions226Ratio & Proportion70Algebra60Measurement73Geometry84Statistics35Reasoning & Problem Solving350Key Events & Seasonal114Times Tables74Assessments59NCETM Ready to Progress57Revision Starters28Maths Activities26Spelling & Grammar22Maths Vocabulary16Home Learning13Practical Maths Activities3White Rose Supporting1