Mental calculation methods

Year 7
Year 8
Year 9
Year 10
Year 11
Extension
Recall number facts, including positive integer complements to 100 and multiplication facts to 10 × 10, and quickly derive associated division facts. Recall equivalent fractions, decimals and percentages; use known facts to derive unknown facts, including products involving numbers such as 0.7 and 6, and 0.03 and 8.
Strengthen and extend mental methods of calculation to include decimals, fractions and percentages, accompanied where appropriate by suitable jottings; solve simple problems mentally. Strengthen and extend mental methods of calculation, working with decimals, fractions, percentages, squares and square roots, cubes and cube roots; solve problems mentally. Use known facts to derive unknown facts; extend mental methods of calculation, working with decimals, fractions, percentages, factors, powers and roots; solve problems mentally.     Use surds and π in exact calculations, without a calculator; rationalise a denominator such as
1/√3 = √3/3.
Make and justify estimates and approximations of calculations. Make and justify estimates and approximations of calculations. Make and justify estimates and approximations of calculations. Make and justify estimates and approximations of calculations by rounding numbers to one significant figure and multiplying or dividing mentally.