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Topic: Number, Fractions, Decimals, Percentage, Ratio and Proportion (Higher - Unit 3)

Specification References: N1.3 N1.3 Understand and use number operations and the relationships between them, including inverse operations and hierarchy of operations.

Candidates should be able to:

• add, subtract, multiply and divide using commutative, associative and distributive laws
• understand and use inverse operations
• use brackets and the hierarchy of operations
• solve problems set in words, for example formulae given in words

Notes

This is part of the core number work required across all units. The core number work will be assessed so that it is linked to other specification references within this unit.

In this unit candidates will be expected to use a calculator when solving problems. Questions requiring these number skills could be set, for example, as a numerical part of a question testing fractions, decimals, percentages, ratio or proportion, interpreting graphs, using a formula in words, substitution into an algebraic expression, using a calculator where appropriate.

Examples

1. A coach firm charges £300 to hire a coach plus a rate per mile, m.
   A group hires a coach and is charged a total of £700 for a 200 mile journey.
   What is the rate per mile, m?

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