GCSE Intermediate

NUMBER

Round numbers to a given power of 10
Use the vocab: factor; multiple; common factor; highest common factor; least common multiple; prime number
Prime Factor Decomposition

Square; Cube; Positive Square root; cube root; Negative square root
Rules of Indices for Multiplying and Dividing Integer powers
Use Standard Index form

Equivalent fractions
Simplify a fraction by cancelling common factors
Order fractions by writing with a common denominator

Recognise a terminating decimal as a fraction
Order decimals
Recognize recurring decimals are exact fractions
Recognise that some exact fractions are recurring decimals

Simplify ratios
Recognise ratios as links to fractions

Multiply/Divide any number by powers of 10
Multiply/Divide any positive number by a number between 0 and 1
Understand reciprocal as a multiplicative inverse and that any number multiplied by its reciprocal =1
Multiply and Divide by a negative number
Use Index laws to simplify and calculate the value of an expression

Calculate a fraction of a quantity
Express a given number as a fraction of another
Add and subtract fractions
Multiply and divide fractions by an integer and multiply fractions by a unit fraction and general fraction
Change a fraction to a decimal
Distinguish between terminating and recurring fractions
Change fractions to a %
Understand the multiplicative nature of % as operators
Calculate an original amount after a % change and reverse % problems
Divide a quantity by a given ratio

Recall squares from 2 to 15 and corresponding square roots
Recall cubes of 2 3 4 5 and 10

Round to a given number of significant figures
Convert between ordinary and standard index form
Estimate answers to problems involving decimals

Add; subtract; multiply and divide integers and decimals mentally

Solve % problems including increase and decrease and reverse % problems
Represent repeated proportional change using a multiplier raised to a power.
Calculate an unknown quantity from quantities that vary in direct proportion
Calculate with standard index form, with and without a calculator

Use surds and ‘pi’ in exact calculations, without a calculator
Use calculators effectively and efficiently