Free A Level Maths (UK) baseline test: start of Year 13
Find out where a student is starting from at the start of Year 13. 20 multiple-choice questions on the Year 12 content of Edexcel, AQA and OCR A Level Maths: algebra and functions, coordinate geometry, the binomial expansion, trigonometry, logarithms, calculus, the binomial distribution and mechanics, marked instantly, with a report that shows which topics are secure and which need work.
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What it covers
The test is written for the start of Year 13 of A Level Maths (UK). It covers the Year 12 content of Edexcel, AQA and OCR A Level Maths: algebra and functions, coordinate geometry, the binomial expansion, trigonometry, logarithms, calculus, the binomial distribution and mechanics. Each question is tagged with the topic it tests, so the report maps straight onto the course:
- Fractional indices
- Rationalising the denominator
- The discriminant
- Completing the square
- Simultaneous equations (one quadratic)
- Quadratic inequalities
- The factor theorem
- Equation of a straight line
- Equation of a circle
- Binomial expansion
- The cosine rule
- Solving trigonometric equations
- Solving equations with logarithms
- Differentiating powers of x
- Tangents
- Stationary points
- Definite integrals
- The binomial distribution
- Constant acceleration (suvat)
- Newton's second law
How it works
- 20 questions, four options each, one mark per question, about 40 minutes. Calculator allowed.
- Online or on paper. Click A, B, C or D online, or fill in the one-page answer sheet and upload a photo: the bubbles are read for you and anything unclear is shown to check.
- Students on their own see their result and topic report as soon as they submit.
- Teachers set it for a class from the class page, print the paper and answer sheets, and release results when everyone has finished. The class report shows each student's gaps and the weakest topics across the class, and results go into the class's mastery grid.
Two sample questions
These are like the questions in the test, with different numbers. They are not in the test itself.
Sample 1 · Logarithms
Find the exact value of \(\log_{3}\left(\frac{1}{9}\right)\).
- \(-2\)
- \(2\)
- \(0\)
- \(-\frac{1}{2}\)
Show the answer and working
Answer: A
\(\frac{1}{9} = 3^{-2}\), so the logarithm is \(-2\).
B is what you get if you got the sign of the power wrong. C is what you get if you divided the number by the base. D is what you get if you found the reciprocal of the power.
Sample 2 · Differentiating powers of x
What is the gradient of \(y = x^{2} - 5x + 2\) at the point where \(x = 4\)?
- \(-2\)
- \(3\)
- \(2\)
- \(-13\)
Show the answer and working
Answer: B
\(\frac{dy}{dx} = 2x - 5\); at \(x = 4\) the gradient is \(3\).
A is what you get if you substituted into y instead of dy/dx. C is what you get if you differentiated twice. D is what you get if you made a sign error substituting.
What the report looks like
Example report (made-up results for one student):
Score 13 / 20 (65%)
- Fractional indicesGap
- Rationalising the denominatorGap
- The discriminantDeveloping
- Completing the squareDeveloping
- Simultaneous equations (one quadratic)Secure
- Quadratic inequalitiesSecure
Each weak topic links to practice on that topic, and each wrong answer names the common mistake it comes from (for example “moved a number across without changing its sign”).
Questions students and teachers ask
Is the baseline test free?
Yes. The test, the result and the topic report are free. Sign in with a free account (Google, Microsoft or email) so your result is saved; there is no payment and no card. Teachers use it free with a class too: printable papers, answer sheets and the class report come with a free teacher account.
How long does it take?
20 multiple-choice questions, about 40 minutes. A calculator is allowed. A teacher can set it as a timed test.
Can it be done on paper?
Yes. A teacher prints the question paper and a one-page answer sheet. Students fill in one bubble per question; a photo of the sheet is read for you. The bubbles are read twice (on the device and with AI), and any question where the readings disagree is shown on screen to check. Everyone can also answer online by clicking A, B, C or D.
What does the result show?
The score, a topic-by-topic report with the weakest topics first, the common mistake behind each wrong answer, and links to practise each weak topic. It shows where a student is starting from; it is not a grade prediction.
Can a student take it more than once?
Each student takes each test once (and once for each class it is set for), so the result stays a fair starting point. Teachers release class results when everyone has finished.
Other free baseline tests
- A Level Maths: start of Year 12 baseline · Start of Year 12
- IAL Maths: start of Year 13 baseline · Start of Year 13