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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 write a number as a product of primes, and use that to find the HCF and LCM?

Identify primes; write a number as a product of its prime factors using index notation; and find the highest common factor (HCF) and lowest common multiple (LCM) of two numbers, including from prime factorisation.
A focused answer to the Eduqas GCSE Mathematics number content on factors, multiples and primes, covering prime factorisation in index form and finding the HCF and LCM, including with a Venn diagram of prime factors.
11 min answer →

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

Carry out the four operations with fractions; convert between fractions, decimals and percentages (including recurring decimals to fractions at Higher tier); and find a percentage of an amount and one quantity as a percentage of another.
A focused answer to the Eduqas GCSE Mathematics number content on fractions, decimals and percentages, covering the four operations with fractions, converting between the three forms, recurring decimals to fractions, and percentage calculations.
12 min answer →

How do you round, estimate a calculation, and find the upper and lower bounds of a rounded value?

Round to a given number of decimal places or significant figures; estimate calculations by rounding to one significant figure; and find upper and lower bounds and use them in calculations (Higher tier).
A focused answer to the Eduqas GCSE Mathematics number content on rounding, estimation and bounds, covering decimal places, significant figures, estimating calculations, and upper and lower bounds in calculations.
11 min answer →

How do the laws of indices work, and how do you calculate with numbers in standard form?

Apply the laws of indices (including zero, negative and fractional indices at Higher tier); and write numbers in standard form and calculate with them, both with and without a calculator.
A focused answer to the Eduqas GCSE Mathematics number content on indices and standard form, covering the index laws, zero, negative and fractional indices, and calculating with standard form.
12 min answer →

How do you order numbers and calculate accurately with the four operations, directed numbers and the correct order of operations?

Order positive and negative integers, decimals and fractions; use the four operations with whole numbers, decimals and directed numbers; and apply the correct order of operations (BIDMAS), including brackets, powers and roots.
A focused answer to the Eduqas GCSE Mathematics number content on the structure of the number system and calculation, covering ordering, the four operations, directed numbers, and the order of operations (BIDMAS).
11 min answer →

How do you simplify surds, carry out the four operations with them, and rationalise a denominator?

Simplify surds, carry out the four operations with surds, expand brackets containing surds, and rationalise the denominator of a fraction (Higher tier).
A focused answer to the Eduqas GCSE Mathematics Higher number content on surds, covering simplifying, the four operations, expanding brackets with surds, and rationalising the denominator.
11 min answer →