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Investigating Powers
Squares, square roots and cubes
Some more squares, square roots and cubes
Using index laws to simplify expressions
Numerical expressions involving multiplication of integer powers
Numerical expressions involving division of integer powers
Numerical expressions involving multiplication and division of integer powers
Zero powers
Negative powers
Simple fractional powers
Slightly harder fractional powers
Fractional and negative powers
Definitely harder fractional powers
Manipulating Fractions
Exact fractions and recurring decimals
Identifying terminating decimals
Converting recurring decimals to fractions
Solving Ratio and Proportion Problems
Using ratio notation
Dividing a quantity in a given ratio
Applying ratio in the real world
Finding missing quantities: inverse proportion
Identifying types of proportion
Manipulating Numbers
Finding minimum and maximum values
Rounding to two significant figures
Finding upper and lower bounds of calculations
Finding upper and lower bounds of harder calculations
Finding upper and lower bounds of even harder calculations
Solving Percentage Problems
Simple percentage increase and decrease problems
Calculate one quantity as a percentage of another
Percentage increase and decrease again
Identifying reverse percentage problems
Compound percentage problems
Investigating Fractions
Adding fractions
Adding some more fractions
Subtracting even more fractions
Multiplying a fraction by an integer
Dividing a fraction by an integer
Multiplying a fraction by a unit fraction
Dividing a fraction by a unit fraction
Multiplying fractions
Dividing fractions
Multiplying and dividing fractions
Adding mixed numbers
Subtracting mixed numbers
Multiplying mixed numbers
Dividing mixed numbers
The four operations with mixed numbers
Investigating Large and Small Numbers
Converting large numbers from standard to ordinary form
Using standard form to estimate calculations
Adding numbers written in standard form
Subtracting numbers written in standard form
Multiplying numbers written in standard form
Dividing numbers written in standard form
The four operations with numbers written in standard form
Investigating Numbers
Highest common factor and least common multiple
Prime factor decomposition
Applying prime factor decomposition
Manipulating simple surds
Rationalising denominators
Algebraic highest common factors and least common multiples
Solving Number Problems
The hierarchy of operations
Estimating answers to problems involving decimals
Playing about with reciprocals
Multiplying and dividing by numbers between 0 and 1
Key
Appropriate for all students studying the GCSE Higher Tier course
Appropriate for students aiming to get a grade C or higher
Appropriate for students aiming to get a grade B or higher
Appropriate for students aiming to get a grade A or higher
Appropriate for students aiming to get a grade A*