H2 Mathematics course check
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Learning goals
- Add complex numbers
- Add vectors by ordered components
- Reason about sampling and sampling distributions
- Classify stationary points using justified derivative tests
- Find antiderivatives within the permitted scope
- Calculate an event probability in a specified binomial model
- Calculate the expectation of a specified binomial count
- Calculate the variance of a specified binomial count
- Calculate the modulus of a complex number
- Calculate a conditional probability in a specified binomial model
- Calculate a conditional probability in a specified normal model
- Calculate and interpret conditional probabilities
- Evaluate definite integrals
- Calculate an event probability from a finite distribution
- Calculate a finite discrete variable's expectation
- Calculate a finite discrete variable's second moment
- Calculate a finite discrete variable's variance
- Calculate an estimated standard error from a specified independent sample
- Calculate event probabilities from an explicit sample space
- Calculate a linear combination's variance with justified dependence conditions
- Find the smaller angle between spatial lines
- Find the angle between a line and a plane
- Calculate a linear combination's expectation from specified moments
- Calculate original-input solution of a specified fitted calibration model from specified paired data
- Calculate complete ordered intercept and gradient from specified paired data
- Calculate product-moment correlation from specified paired data
- Calculate original-response model prediction from specified paired data
- Calculate signed residual on the fitted response scale from specified paired data
- Calculate sum of squared residuals on the fitted response scale from specified paired data
- Calculate a probability for a specified combination of normal variables
- Calculate an event probability in a specified normal model
- Recover a normal boundary from its specified tail probability
- Calculate a sample-mean probability under a specified exact or approximate normal model
- Find the parallel vector component along a direction
- Find the perpendicular component's magnitude
- Find the smaller angle between planes
- Find the directed displacement between two points
- Calculate the distance between two points
- Find the perpendicular distance from a point to a line
- Find the perpendicular distance from a point to a plane
- Calculate all sample-mean critical boundaries for a planned known-variance normal test
- Calculate all standardised critical boundaries for a planned population-mean test
- Calculate a population-mean test p-value for a prespecified alternative
- Calculate a signed population-mean test statistic under a stipulated normal-test model
- Calculate a complex number's principal argument
- Calculate a sample mean's expectation from specified population moments
- Calculate a sample mean's variance from specified population moments
- Calculate a minimum sample size for specified normal-model precision
- Calculate a sample mean's standard error from specified population moments
- Calculate a scalar product
- Find a signed scalar component along a direction
- Calculate the expectation of a transformed finite variable
- Calculate the variance of a transformed finite variable
- Calculate original-input solution of a specified fitted calibration model from specified paired data and transformations
- Calculate complete ordered intercept and gradient from specified paired data and transformations
- Calculate product-moment correlation from specified paired data and transformations
- Calculate original-response model prediction from specified paired data and transformations
- Calculate signed residual on the fitted response scale from specified paired data and transformations
- Calculate sum of squared residuals on the fitted response scale from specified paired data and transformations
- Calculate the magnitude of a vector
- Calculate an ordered vector product
- Calculate the angle between directed vectors
- Use integrals to calculate volumes of revolution
- Classify a line's relationship with a plane
- Distinguish coincident, parallel and intersecting planes
- Distinguish coincident, parallel, intersecting and skew lines
- Compose and invert functions with existence conditions
- Formulate and interpret a justified hypothesis test
- Build a finite distribution from equally likely outcome counts
- Build a transformed finite distribution, combining equal values
- Use counting principles, permutations and combinations
- Determine a population-mean test decision using the unrounded planned p-value and level
- Differentiate implicit and parametric relationships within stated scope
- Distinguish independence from mutual exclusivity
- Divide by a nonzero complex number
- Calculate a population-mean estimate from a specified independent sample
- Calculate an unbiased population-variance estimate from a specified independent sample
- Find the least trial count satisfying a binomial probability threshold
- Find the conjugate of a complex number
- Find the foot of a perpendicular from a point to a line
- Find the unique intersection point of a line and a plane
- Find and interpret a normal to a curve
- Produce the intersection line of two planes
- Find the foot of a perpendicular from a point to a plane
- Find and interpret a tangent to a curve
- Produce a unit vector in a given direction
- Fit and interpret correlation and regression models
- Formulate, use and interpret a mathematical model
- Express and use the general term of a sequence
- Relate a definite integral to area under a curve
- Represent and explain complex operations on an Argand diagram
- Explain discrete models, probability constraints and moment interpretation
- Determine function domains, ranges and admissible inputs
- Relate definite integrals to signed area and geometric area
- Explain vector geometry, position, displacement and ratio relationships
- Locate a point from a displacement parameter
- Locate an internally or externally dividing point from its ratio
- Choose and use a binomial probability model
- Choose and use a normal probability model
- Multiply complex numbers
- Explain complex equality, the number system and real-coefficient root properties
- Justify spatial vector relationships and parameter conditions
- Justify the geometrical meanings and properties of vector products
- Recover the unique binomial parameters from exact moments
- Recover a normal mean from a probability and known variance
- Recover the unique normal mean and variance from two probabilities
- Recover a normal variance from a probability and known mean
- Recover the remaining distinct roots of a real cubic or quartic from a non-real root
- Relate a function to its derivative graphs
- Interpret and draw graphs of functions
- Multiply a vector by a scalar
- Find every distinct root of a real quadratic over the complex numbers
- Relate connected rates of change
- Solve inequalities and represent their solution sets
- Solve a unique linear complex equation, including a conjugate term
- Model and solve an optimisation problem
- Formulate, solve and interpret separable differential equations
- Subtract complex numbers
- Subtract vectors by ordered components
- Find finite sums and analyse convergence of series
- Test all coordinates for point collinearity
- Transform graphs and relate representations
- Select and apply permitted integration techniques
- Use and derive bounded Maclaurin approximations
- Produce independent Cartesian equalities for a spatial line
- Produce a Cartesian equation of a plane
- Produce a vector equation of a spatial line
- Produce a vector equation of a plane
- Find the parallel component's magnitude
- Represent random variables, expectations and variances
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GCE A-Level H2 Mathematics 2027
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H2 Mathematics 2024
Course check
Start here to see which parts you already know.
Time is up and your answers could not be submitted; check your connection and try again.
Paper instructions
This shows what to work on next and doesn’t count towards your course progress.
- Question count is checked before you start.
- Feedback appears after you finish and submit.
Your work
Without an account, unfinished answers stay in this tab. Signed in, they are saved on this device until the deadline shown when you start.
Getting your questions…
Recent attempts
History is stored only in this browser.
No completed attempts are saved yet.
Beyond the syllabus: optional enrichment that does not count towards your progress.