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Northern Ireland · CCEAQ&A
MathsQ&A by dot point
A short Q&A bank for every Northern Ireland Maths syllabus dot point. Each question and answer is drawn directly from our worked dot-point page, so you can scan key concepts before opening the long-form answer.
Algebra
- Collect like terms, substitute into expressions and formulae, expand single and double brackets, factorise into single brackets and quadratics, simplify algebraic fractions and change the subject of a formula.1Q&A pairs
- Plot and recognise quadratic, cubic, reciprocal and exponential graphs, read roots and turning points, use graphs to solve equations, and recognise the equation of a circle and real-life graphs (Higher tier for non-linear).0Q&A pairs
- Solve linear equations including those with brackets, fractions and the unknown on both sides, form equations from contexts, and solve and represent linear inequalities on a number line.1Q&A pairs
- Solve quadratic equations by factorising, by the quadratic formula and by completing the square, and form and solve quadratics from problems (Higher tier for formula and completing the square).1Q&A pairs
- Continue sequences using a term-to-term rule, find and use the nth term of a linear sequence, recognise quadratic and special sequences, and find the nth term of a quadratic sequence (Higher tier).0Q&A pairs
- Solve a pair of linear simultaneous equations by elimination and substitution, solve a linear and a quadratic simultaneously, and interpret the solution as the intersection of two graphs (Higher tier for non-linear).1Q&A pairs
- Plot and recognise straight-line graphs, find the gradient and y-intercept, use , find the equation of a line through given points, and use parallel and perpendicular gradient conditions.1Q&A pairs
Geometry and Measures
- Use angle facts at a point, on a line and in triangles and quadrilaterals, apply the angle properties of parallel lines, and find interior and exterior angles of polygons.1Q&A pairs
- Find the circumference and area of circles, the length of an arc and area of a sector, and apply the circle theorems about angles, tangents and cyclic quadrilaterals (theorems at Higher tier).1Q&A pairs
- Construct perpendicular bisectors, perpendiculars from a point and angle bisectors with ruler and compasses, and find loci and regions defined by distance conditions, including bearings.0Q&A pairs
- Find the perimeter and area of triangles, quadrilaterals and compound shapes, the surface area and volume of prisms, cylinders, pyramids, cones and spheres, and convert between units of area and volume.0Q&A pairs
- Use Pythagoras' theorem in two and three dimensions, use the sine, cosine and tangent ratios to find sides and angles in right-angled triangles, and use exact trigonometric values.1Q&A pairs
- Use the sine rule and cosine rule to find sides and angles in any triangle, and use the formula for the area of a triangle as one half a b sine C (Higher tier).0Q&A pairs
- Perform and describe reflections, rotations, translations and enlargements (including negative and fractional scale factors), and use congruence and similarity, including area and volume scale factors (Higher tier).0Q&A pairs
- Use column vector notation, add and subtract vectors, multiply by a scalar, find the magnitude of a vector, and use vectors to prove geometric facts such as collinearity (Higher tier).1Q&A pairs
Number
- 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.0Q&A pairs
- 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.0Q&A pairs
- 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.0Q&A pairs
- 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.1Q&A pairs
- 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.0Q&A pairs
- Simplify surds, carry out the four operations with surds, expand brackets containing surds, and rationalise the denominator of a fraction (Higher tier).1Q&A pairs
Probability
- Use the probability scale from 0 to 1, find probabilities of single events, use that probabilities sum to 1, apply the mutually exclusive addition rule, and list outcomes with sample space diagrams.0Q&A pairs
- Use relative frequency to estimate probability from experimental data, understand how estimates improve with more trials, identify bias, and calculate expected frequencies.0Q&A pairs
- Draw tree diagrams for two or more events, multiply along branches and add between branches, and handle independent events and conditional probability without replacement (Higher tier).1Q&A pairs
- Use Venn diagrams to organise data into sets, apply set notation for union, intersection and complement, and find probabilities from a Venn diagram (Higher tier).0Q&A pairs
Statistics
- Find the mean, median, mode and range of a data set, estimate the mean from grouped data, find the modal class, and use averages and range to compare two distributions.0Q&A pairs
- Understand the data-handling cycle, distinguish types of data and sampling, use frequency and two-way tables, and draw and interpret bar charts, pie charts, pictograms, frequency polygons and histograms.0Q&A pairs
- Construct and read cumulative frequency curves, find the median and quartiles, calculate the interquartile range, and draw and compare box plots (Higher tier).0Q&A pairs
- Plot scatter graphs, describe the type and strength of correlation, draw a line of best fit, use it to estimate values, and understand interpolation, extrapolation and the difference between correlation and causation.0Q&A pairs