Basics topics for the May 2011 Maths exams
Number and Algebra
Understand and use an appropriate non-calculator method for solving problems that involve multiplying and dividing any three-digit number by any two-digit number.
Solve numerical problems with numbers of any size, using a calculator efficiently and appropriately.
In making estimates, round to one significant figure and multiply and divide mentally.
Use understanding of place value to multiply and divide whole numbers and decimals by 10,100 and 1000.
Understand the effects of multiplying and dividing by numbers between 0 and 1.
Add, subtract, multiply and divide with fractions, decimals and negative numbers.
Calculate fractional or percentage parts of quantities and measurements, using a calculator where appropriate.
Be aware of which number to consider as 100 per cent, or a whole, in problems involving comparisons, and use this to evaluate one number as a fraction or percentage of another.
Understand and use the equivalences between fractions, decimals and percentages, and calculate using ratios in appropriate situations.
Solve simple problems involving ratio and direct proportion.
Understand and use proportional changes.
Check solutions by applying inverse operations or estimating using approximations.
Order and approximate decimals when solving numerical problems and equations [for example ], using trial-and-improvement methods. +=3
Construct, express in symbolic form, and use formulae.
Formulate and solve linear equations with whole-number coefficients.
Use algebraic and graphical methods to solve simultaneous linear equations in two variables.
Multiply two expressions of the form (x + n) and they simplify the corresponding quadratic expressions.
Solve simple inequalities.
When exploring number sequences, find and describe in words and symbols the rule for the nth term of a sequence where the rule is…