England · AQAQ&A
MathsQ&A by dot point
A short Q&A bank for every England 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
- Collecting like terms, expanding single and double brackets, factorising into brackets, and simplifying algebraic fractions at Higher tier.0Q&A pairs
- Solving linear inequalities, representing solutions on a number line, solving quadratic inequalities at Higher tier, and graphing inequality regions.1Q&A pairs
- Recognising and sketching quadratic, cubic, reciprocal and exponential graphs, reading roots and turning points, and using function notation at Higher tier.0Q&A pairs
- Solving quadratics by factorising, using the quadratic formula, completing the square at Higher tier, and interpreting the roots and turning point.1Q&A pairs
- Continuing sequences, finding the nth term of linear and quadratic sequences, and recognising geometric, triangular and Fibonacci sequences.0Q&A pairs
- Solving linear simultaneous equations by elimination and substitution, and solving a linear and quadratic pair at Higher tier.1Q&A pairs
- Solving linear equations with the unknown on one or both sides, equations with brackets and fractions, and changing the subject of a formula.0Q&A pairs
- Plotting straight lines, finding gradient and intercept from the equation, writing equations of lines, and the conditions for parallel and perpendicular lines.0Q&A pairs
Geometry and measures
- Angles on a line and around a point, angles in parallel lines, angles in triangles and quadrilaterals, and interior and exterior angles of polygons.0Q&A pairs
- Areas of rectangles, triangles, parallelograms and trapezia, and the volume and surface area of prisms, cylinders, cones, spheres and pyramids.0Q&A pairs
- Circumference and area of a circle, arc length and sector area, and the circle theorems at Higher tier.0Q&A pairs
- Constructing perpendicular and angle bisectors, perpendiculars from a point, and finding loci of points satisfying a given condition.0Q&A pairs
- Using Pythagoras theorem, the sine, cosine and tangent ratios in right-angled triangles, and the sine and cosine rules at Higher tier.0Q&A pairs
- Carrying out and describing reflections, rotations, translations and enlargements, including negative and fractional scale factors at Higher tier.0Q&A pairs
- Writing and drawing column vectors, adding, subtracting and multiplying vectors by a scalar, and using vectors in geometric proofs at Higher tier.1Q&A pairs
Number
- Identifying factors, multiples and primes, writing a number as a product of prime factors, and finding the HCF and LCM.0Q&A pairs
- The four operations with fractions, converting between fractions, decimals and percentages, and finding percentages and percentage change of an amount.0Q&A pairs
- The laws of indices including negative and fractional powers, and simplifying, multiplying and rationalising surds at Higher tier.0Q&A pairs
- Place value, ordering integers and decimals, multiplying and dividing by powers of ten, and writing and calculating with numbers in standard form.1Q&A pairs
- Writing and simplifying ratios, dividing a quantity in a given ratio, and solving direct proportion problems including the unitary method.0Q&A pairs
- Rounding to decimal places and significant figures, estimating by rounding, and finding upper and lower bounds of rounded values at Higher tier.0Q&A pairs
Probability
- The probability scale, equally likely outcomes, the fact that probabilities sum to one, and combining mutually exclusive and independent events.0Q&A pairs
- Estimating probability using relative frequency, the effect of more trials, comparing experimental and theoretical probability, and finding expected outcomes.0Q&A pairs
- Drawing and using tree diagrams for combined events, conditional probability, and using Venn diagrams with set notation.0Q&A pairs
Ratio, proportion and rates of change
- Recognising direct and inverse proportion, setting up and using proportion equations with a constant, and interpreting their graphs.0Q&A pairs
- Percentage increase and decrease using multipliers, reverse percentages, and simple and compound interest including depreciation.1Q&A pairs
- Interpreting distance-time and velocity-time graphs, finding gradients as rates and areas as totals, and estimating gradients of curves at Higher tier.0Q&A pairs
- Using ratio with scale factors, map scales and scale drawings, converting between ratio forms, and combining ratios that share a part.1Q&A pairs
Statistics
- Finding the mean, median, mode and range, averages from frequency tables, and the median and interquartile range from grouped data at Higher tier.0Q&A pairs
- Drawing and interpreting bar charts, pie charts, frequency tables, and cumulative frequency graphs, box plots and histograms at Higher tier.0Q&A pairs
- Types of data, populations and samples, random and stratified sampling, sources of bias, and designing good data collection.0Q&A pairs
- Plotting scatter graphs, describing correlation, drawing a line of best fit, using it to estimate values, and recognising the limits of extrapolation.0Q&A pairs