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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 use prime factorisation to find the highest common factor and lowest common multiple of two numbers?

Identify factors, multiples and primes; write a number as a product of its prime factors; and use prime factorisation to find the HCF and LCM of two or more numbers.
A focused answer to the OCR GCSE Mathematics number content on factors, multiples and primes, covering prime factorisation, product of prime factors form, and using it to find the highest common factor and lowest common multiple.
10 min answer →

How do you calculate with fractions, convert between fractions, decimals and percentages, and find a percentage of an amount?

Add, subtract, multiply and divide fractions and mixed numbers; convert between fractions, decimals and percentages; and find a percentage of an amount and one number as a percentage of another.
A focused answer to the OCR GCSE Mathematics number content on fractions, decimals and percentages, covering the four operations on fractions and mixed numbers, conversions between the three forms, and basic percentage calculations.
11 min answer →

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

Round to a given number of decimal places or significant figures; estimate calculations; and find and use upper and lower bounds, including in calculations (Higher tier).
A focused answer to the OCR GCSE Mathematics number content on rounding, estimation and bounds, covering decimal places and significant figures, estimating calculations, and finding and using upper and lower bounds.
10 min answer →

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

Apply the laws of indices for integer, negative and fractional powers; and write, order and calculate with numbers in standard form $a \times 10^n$ .
A focused answer to the OCR GCSE Mathematics number content on indices and standard form, covering the index laws for integer, negative and fractional powers and calculating with numbers written in standard form.
11 min answer →

How do you work with integers, the order of operations, and the four operations on positive and negative numbers?

Order positive and negative integers, decimals and fractions; use the four operations and the correct order of operations (BIDMAS), including with negatives.
A focused answer to the OCR GCSE Mathematics number content on the structure of the number system and calculation, covering ordering, the four operations, negative numbers and the order of operations (BIDMAS).
10 min answer →

How do you simplify surds, multiply and add 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 OCR GCSE Mathematics Higher number content on surds, covering simplifying, the four operations, expanding brackets with surds, and rationalising the denominator.
10 min answer →