YMA01 International A Level Mathematics: past papers
158 papers from 2014 to 2025, with 170 questions sorted by syllabus topic.
Mathematical models in probability and statistics WST01 · 1 question
Statistical models and the modelling cycle1
Modelling, correlation and regression from coded summary data.
Representation and summary of data WST01 · 6 questions
Stem-and-leaf diagrams and box plots4
Histogram heights, estimates, median, quartiles, skewness and a normal model.
Range, median, quartiles and standard deviation from a stem-and-leaf diagram, then adding data.
Read a box plot, interpolation and outliers, then a normal model.
Back-to-back stem and leaf, quartiles, outliers and box plots.
Histograms and cumulative frequency3
Histogram heights, estimates, median, quartiles, skewness and a normal model.
Read a box plot, interpolation and outliers, then a normal model.
Histogram, median by interpolation, coding, mean and standard deviation.
Mean and standard deviation3
Combine two groups' means and standard deviations, then add a constant.
Range, median, quartiles and standard deviation from a stem-and-leaf diagram, then adding data.
Histogram, median by interpolation, coding, mean and standard deviation.
Coded and combined data3
Combine two groups' means and standard deviations, then add a constant.
Range, median, quartiles and standard deviation from a stem-and-leaf diagram, then adding data.
Histogram, median by interpolation, coding, mean and standard deviation.
Probability WST01 · 5 questions
Combined events and Venn diagrams3
Union of events and conditional probability.
Three-set Venn diagram, a test for independence and conditional probability.
Venn diagrams, independence and conditional probability.
Tree diagrams and conditional probability4
Union of events and conditional probability.
Tree diagram without replacement, conditional probability and a quadratic in n.
Complete a tree diagram and find a conditional probability.
Venn diagrams, independence and conditional probability.
Independent and mutually exclusive events2
Three-set Venn diagram, a test for independence and conditional probability.
Venn diagrams, independence and conditional probability.
Correlation and regression WST01 · 3 questions
Summary statistics and the PMCC3
Modelling, correlation and regression from coded summary data.
Correlation coefficient, a regression line and its meaning, and the effect of rescaling.
Summary statistics, correlation and the regression line.
The least squares regression line3
Modelling, correlation and regression from coded summary data.
Correlation coefficient, a regression line and its meaning, and the effect of rescaling.
Summary statistics, correlation and the regression line.
Discrete random variables WST01 · 3 questions
Probability distributions and the CDF3
Discrete distribution: cumulative probability, expectation, variance and a linear change.
Two four-sided dice: probabilities, expectation, variance and a missing value in a cumulative distribution.
Discrete distribution, E(X) and Var(X), and linear transformations.
Expectation, variance and the discrete uniform distribution3
Discrete distribution: cumulative probability, expectation, variance and a linear change.
Two four-sided dice: probabilities, expectation, variance and a missing value in a cumulative distribution.
Discrete distribution, E(X) and Var(X), and linear transformations.
The normal distribution WST01 · 4 questions
Standardising and normal probabilities4
Normal distribution, a binomial probability, and σ from a percentage.
Normal probabilities, and a mean and standard deviation from two conditions.
Read a box plot, interpolation and outliers, then a normal model.
Normal distribution: standardising and inverse normal.
Inverse normal and finding μ and σ3
Normal distribution, a binomial probability, and σ from a percentage.
Normal probabilities, and a mean and standard deviation from two conditions.
Normal distribution: standardising and inverse normal.