← Maths syllabus

Northern IrelandMaths

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 round, estimate, and find the upper and lower bounds of a rounded quantity?

Round to decimal places and significant figures, estimate by rounding to one significant figure, and find and use upper and lower bounds, including in calculations with compound measures.
A CCEA GCSE Mathematics answer on approximation and bounds, covering rounding to decimal places and significant figures, estimating with one significant figure, and finding upper and lower bounds and using them in calculations.
10 min answer →

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

Carry out the four operations with fractions, convert between fractions, decimals and percentages, find percentages of amounts, work with percentage change, reverse percentages, compound interest and depreciation.
A CCEA GCSE Mathematics answer on fractions, decimals and percentages, covering the four operations with fractions, conversions between the three forms, percentage of an amount, percentage change, reverse percentages, and compound interest and depreciation.
11 min answer →

How do the laws of indices work, including negative and fractional powers, and how is standard form used?

Use the laws of indices for positive, negative and fractional powers, evaluate powers and roots, and write numbers in standard form and calculate with them.
A CCEA GCSE Mathematics answer on indices and standard form, covering the laws of indices for positive, negative and fractional powers, evaluating roots, and writing and calculating with numbers in standard form.
10 min answer →

How do place value, the four operations and the order of operations work with integers and decimals?

Read, write and order integers and decimals, use the four operations with directed numbers and decimals, apply the order of operations (BIDMAS), and use factors, multiples, primes, the HCF and the LCM.
A CCEA GCSE Mathematics answer on place value and the four operations, covering ordering integers and decimals, calculating with directed numbers, the order of operations, and factors, multiples, primes, the HCF and the LCM.
10 min answer →

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

Simplify ratios, divide a quantity in a given ratio, use the unitary method, solve best-buy and scale problems, and work with direct and inverse proportion including compound measures.
A CCEA GCSE Mathematics answer on ratio and proportion, covering simplifying ratios, sharing in a given ratio, the unitary method, best buys and scales, and direct and inverse proportion including compound measures such as speed and density.
10 min answer →

How do you simplify surds, calculate 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 CCEA GCSE Mathematics Higher answer on surds, covering simplifying surds, the four operations, expanding brackets containing surds, and rationalising the denominator, including with conjugates.
10 min answer →