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EnglandMaths

Number

6 dot points across 6 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you find prime factors, highest common factors and lowest common multiples?

Identifying factors, multiples and primes, writing a number as a product of prime factors, and finding the HCF and LCM.
A focused answer to the AQA GCSE Mathematics content on factors, multiples and primes, covering identifying primes, writing a number as a product of prime factors, and finding the highest common factor and lowest common multiple.
8 min answer →

How do you calculate with fractions, decimals and percentages and convert freely between them?

The four operations with fractions, converting between fractions, decimals and percentages, and finding percentages and percentage change of an amount.
A focused answer to the AQA GCSE Mathematics content on fractions, decimals and percentages, covering the four operations with fractions, converting between the three forms, and finding percentages and percentage change of an amount.
9 min answer →

How do the laws of indices work and how do you simplify and rationalise surds?

The laws of indices including negative and fractional powers, and simplifying, multiplying and rationalising surds at Higher tier.
A focused answer to the AQA GCSE Mathematics content on indices and surds, covering the laws of indices including zero, negative and fractional powers, and simplifying, multiplying and rationalising surds at Higher tier.
9 min answer →

How do you read, order and calculate with place value, very large and very small numbers, and standard form?

Place value, ordering integers and decimals, multiplying and dividing by powers of ten, and writing and calculating with numbers in standard form.
A focused answer to the AQA GCSE Mathematics content on place value and standard form, covering ordering integers and decimals, multiplying and dividing by powers of ten, and converting to and calculating with standard form for large and small numbers.
9 min answer →

How do you share quantities in a ratio and solve simple proportion problems?

Writing and simplifying ratios, dividing a quantity in a given ratio, and solving direct proportion problems including the unitary method.
A focused answer to the AQA GCSE Mathematics number content on ratio and proportion, covering writing and simplifying ratios, dividing a quantity in a given ratio, and solving direct proportion problems with the unitary method.
8 min answer →

How do you round numbers, estimate calculations and find upper and lower bounds?

Rounding to decimal places and significant figures, estimating by rounding, and finding upper and lower bounds of rounded values at Higher tier.
A focused answer to the AQA GCSE Mathematics content on rounding and bounds, covering rounding to decimal places and significant figures, estimating by rounding, and finding upper and lower bounds and error intervals at Higher tier.
8 min answer →