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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, the highest common factor and the lowest common multiple of numbers?

Factors, multiples and primes: prime factor decomposition (product of prime factors), the highest common factor (HCF) and lowest common multiple (LCM), and using Venn diagrams to find them.
A focused answer to the Edexcel GCSE Mathematics number content on factors, multiples and primes, covering prime factor decomposition, the highest common factor and lowest common multiple, and using Venn diagrams to find the HCF and LCM.
8 min answer →

How do you calculate with fractions, convert between fractions, decimals and percentages, and find percentages of amounts?

Calculating with fractions (the four operations, including mixed numbers), converting between fractions, decimals and percentages including recurring decimals, and working with percentages of amounts.
A focused answer to the Edexcel GCSE Mathematics number content on fractions, decimals and percentages, covering the four operations with fractions, converting between the three forms including recurring decimals, and finding percentages of amounts.
10 min answer →

How do you round to significant figures, estimate calculations and find the upper and lower bounds of a rounded value?

Rounding to decimal places and significant figures, estimating calculations using rounding, and finding the upper and lower bounds of measurements, including error intervals and bounds in calculations (Higher tier).
A focused answer to the Edexcel GCSE Mathematics number content on rounding, estimation and bounds, covering decimal places and significant figures, estimating calculations, error intervals, and upper and lower bounds in calculations.
9 min answer →

How do you use the laws of indices and write and calculate with numbers in standard form?

The laws of indices including zero, negative and fractional powers, and standard form: writing very large and very small numbers and calculating with them.
A focused answer to the Edexcel GCSE Mathematics number content on indices and standard form, covering the index laws including negative and fractional powers, writing numbers in standard form, and calculating with standard form.
9 min answer →

How do you use the four operations, place value, negative numbers and the priority of operations accurately without a calculator?

The structure of the number system: ordering integers and decimals, the four operations with positive and negative numbers, place value, the priority of operations (BIDMAS), and inverse operations.
A focused answer to the Edexcel GCSE Mathematics number content on the structure of the number system, covering ordering numbers, the four operations with negatives, place value, BIDMAS and inverse operations for the non-calculator paper.
9 min answer →

How do you simplify surds, calculate with them and rationalise a denominator?

Surds: simplifying surds, the four operations with surds, expanding brackets containing surds, and rationalising the denominator (Higher tier).
A focused answer to the Edexcel GCSE Mathematics Higher tier number content on surds, covering simplifying surds, the four operations with surds, expanding brackets, and rationalising the denominator.
9 min answer →