GCSE maths · strand
Probability
12 topics, each with printable practice questions and a full answer key. Every sheet is generated, so you can make a fresh one whenever you need it.
- Fairness and Expected Outcomes
- Frequency Polygons
- Probability Language
- Probability Sum to 1
- Probability Trees
- Relative Frequency
- Sample Space Diagrams
All strands by tier: Foundation tier · Higher tier
- A17
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solve linear equations in one unknown algebraically (including those with the unknown on both sides of the equation); find approximate solutions using a graph
- A18
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solve quadratic equations (including those that require rearrangement) algebraically by factorising, by completing the square and by using the quadratic formula; find approximate solutions using a graph
- A21
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translate simple situations or procedures into algebraic expressions or formulae; derive an equation (or two simultaneous equations), solve the equation(s) and interpret the solution
- P1
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record describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees
- P2
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apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments
- P3
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relate relative expected frequencies to theoretical probability, using appropriate language and the 0 - 1 probability scale
- P4
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apply the property that the probabilities of an exhaustive set of outcomes sum to one; apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to one
Conditional Probability · Probability Equation Questions · Probability Sum to 1 · Probability Trees
- P5
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understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size
- P6
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enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams
- P7
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construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities
- P8
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calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions
Conditional Probability · Probability Equation Questions · Probability Trees
- P9
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calculate and interpret conditional probabilities through representation using expected frequencies with two-way tables, tree diagrams and Venn diagrams
- R9
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define percentage as ‘number of parts per hundred’; interpret percentages and percentage changes as a fraction or a decimal, and interpret these multiplicatively; express one quantity as a percentage of another; compare two quantities using percentages; work with percentages greater than 100%; solve problems involving percentage change, including percentage increase/decrease and original value problems, and simple interest including in financial mathematics
- S4
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interpret, analyse and compare the distributions of data sets from univariate empirical distributions through: appropriate graphical representation involving discrete, continuous and grouped data, including box plots; appropriate measures of central tendency (median, mean, mode and modal class) and spread (range, including consideration of outliers, quartiles and inter-quartile range)
Statements from the Department for Education's GCSE mathematics subject content. Contains public sector information licensed under the Open Government Licence v3.0.