 This page lists the GCSE Higher Number activities that are available once the resource has been purchased by your school

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: direct proportion: SAMPLE AVAILABLE 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 fractions: SAMPLE AVAILABLE 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 Converting between standard and ordinary form: SAMPLE AVAILABLE 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*