How to achieve the next Level in Mathematics Level 3
You can use numbers up to 1000. You can round off numbers. You can use decimal numbers to describe money. You can do addition and subtraction in your head. You know your 2, 5 and 10 times tables.
Level 4
You can multiply and divide whole numbers by 10 and 100. You can use addition, subtraction, multiplication and division. You know all your times tables up to 10 x 10. You can add and subtract numbers with two decimal places. You can recognise and describe numbers in a sequence. You understand the words multiple, prime, square and factor
Level 5
You can multiply and divide decimals by 10, 100 and 1000. You can add and subtract negative numbers. You can solve problems using addition, subtraction, multiplication and division with numbers to two decimal places. You can write down a simple formula using algebra. You can find a percentage or a fraction of an amount. You can check your answers by using estimation.
Level 6
You can give answers to a given number of decimal places. You can use trial and improvement with decimals. You can use and understand simple index notation. You can express a number as a fraction/percentage of another. You can solve problems using ratio. You can use algebraic expressions and show them as a graph. You can form simple equations and solve them by rearranging.
Level 7
You can round numbers to multiply and divide mentally. You can use your calculator to solve number problems. You understand the relationship between powers and roots. You can find the next term for a quadratic sequence. You can use algebra/graphs to solve simultaneous equations. You understand and need to use proportional changes
Level 8
You can solve problems involving powers, roots and numbers in standard form, checking that your answers are sensible. You understand the meaning of reciprocals. You can solve inequalities using algebra and graphs. You can evaluate algebraic expressions accurately. You can solve higher order equations by selecting the most appropriate method. You can interpret graphs that model real life situations. You can manipulate algebraic formula by factorising. You can sketch and interpret graphs of linear, quadratic, cubic and reciprocal functions.