Free IAL Maths 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 units of Edexcel International A Level Maths (P1, P2, M1 and S1): algebra, coordinate geometry, calculus, sequences and series, logarithms, trigonometry, kinematics and probability, 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 IAL Maths. It covers the Year 12 units of Edexcel International A Level Maths (P1, P2, M1 and S1): algebra, coordinate geometry, calculus, sequences and series, logarithms, trigonometry, kinematics and probability. Each question is tagged with the topic it tests, so the report maps straight onto the course:
- Laws of indices
- Surds
- The discriminant
- Simultaneous equations (one quadratic)
- Quadratic inequalities
- Perpendicular lines
- Tangents
- Differentiation
- Stationary points
- Definite integrals
- The factor theorem
- Binomial expansion
- Arithmetic series
- Geometric sequences
- Laws of logarithms
- Sector area
- Solving trigonometric equations
- Constant acceleration (suvat)
- Conditional probability
- Discrete random variables
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 · Geometric sequences
A geometric sequence begins \(5, 10, 20, \dots\). What is its 6th term?
- \(160\)
- \(320\)
- \(30\)
- \(100000\)
Show the answer and working
Answer: A
\(u_{6} = ar^{5} = 5 \times 2^{5} = 160\).
B is what you get if you used rⁿ instead of rⁿ⁻¹. C is what you get if you treated it as arithmetic. D is what you get if you raised a × r to the power.
Sample 2 · Definite integrals
What is the value of \(\int_{0}^{3} \left(2x^{2} + x\right)dx\)?
- \(12\)
- \(\frac{45}{2}\)
- \(-\frac{45}{2}\)
- \(21\)
Show the answer and working
Answer: B
\(\left[\frac{2}{3}x^{3} + \frac{1}{2}x^{2}\right]_{0}^{3} = \frac{45}{2}\).
A is what you get if you differentiated instead of integrating. C is what you get if you subtracted the limits the wrong way round. D is what you get if you substituted the limits without integrating.
What the report looks like
Example report (made-up results for one student):
Score 13 / 20 (65%)
- Laws of indicesGap
- SurdsGap
- The discriminantDeveloping
- Simultaneous equations (one quadratic)Developing
- Quadratic inequalitiesSecure
- Perpendicular linesSecure
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
- A Level Maths (UK): start of Year 13 baseline · Start of Year 13