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WalesMaths

Number

8 dot points across 8 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 its prime factors and use that to find the HCF and LCM?

Identify factors, multiples and primes, write a number as a product of prime factors in index form, and use prime factorisation to find the highest common factor and lowest common multiple.
A focused answer to the WJEC GCSE Mathematics number content on factors, multiples and primes, covering prime factorisation in index form and using it to find the highest common factor and lowest common multiple.
11 min answer →

How do you calculate with fractions, convert between fractions, decimals and percentages, and turn a recurring decimal into a fraction?

Calculate with fractions and mixed numbers, convert freely between fractions, decimals and percentages, and convert a recurring decimal to an exact fraction (Higher tier).
A focused answer to the WJEC GCSE Mathematics number content on fractions, decimals and percentages, covering the four operations with fractions, conversions between the three forms, and recurring decimals to fractions at Higher tier.
11 min answer →

How do you use the laws of indices, including negative and fractional powers, and calculate with numbers in standard form?

Apply the laws of indices including zero, negative and fractional powers (Higher tier), and write and calculate with numbers in standard form.
A focused answer to the WJEC GCSE Mathematics number content on indices and standard form, covering the index laws including negative and fractional powers, and multiplying, dividing, adding and subtracting numbers in standard form.
11 min answer →

How do you work out percentage change, reverse percentages, and simple and compound interest in real-life financial contexts?

Calculate percentage increase and decrease, percentage change and reverse percentages, and solve financial problems involving simple interest, compound interest and repeated percentage change.
A focused answer to the WJEC GCSE Mathematics number content on percentages and financial mathematics, covering percentage change, reverse percentages, simple and compound interest, and repeated percentage change in real-life money contexts.
12 min answer →

How do you simplify and use ratios, share an amount in a ratio, and solve direct and inverse proportion problems?

Use ratio notation, simplify ratios and share a quantity in a given ratio, and solve direct and inverse proportion problems including the unitary method.
A focused answer to the WJEC GCSE Mathematics number content on ratio and proportion, covering simplifying ratios, sharing in a ratio, the unitary method, and direct and inverse proportion problems.
11 min answer →

How do you round to decimal places and significant figures, estimate a calculation, and find the upper and lower bounds of a measurement?

Round to decimal places and 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 WJEC GCSE Mathematics number content on rounding, estimation and bounds, covering decimal places, significant figures, estimating calculations, and upper and lower bounds used in calculations at Higher tier.
11 min answer →

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

Understand place value, order integers, decimals and fractions, and calculate with the four operations and directed numbers using the correct order of operations (BIDMAS).
A focused answer to the WJEC GCSE Mathematics number content on place value, ordering and calculation, covering directed numbers, the four operations and the BIDMAS order of operations across both written components.
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 WJEC GCSE Mathematics Higher number content on surds, covering simplifying, the four operations, expanding brackets with surds, and rationalising the denominator.
11 min answer →