Mathematics
100 points

Mathematics Middle School Exam Prep 2026

Prepare for the mathematics exam (100 points, 2h paper) with AI-generated study sheets, quizzes & flashcards.

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Mathematics exam format

100 points
2h

The brevet mathematics exam consists of 6 to 7 independent exercises covering the entire 3e curriculum. Each exercise is worth 12 to 20 points for a total of 100 points. One exercise systematically focuses on programming (Scratch or Python) with algorithm analysis or script creation. Other exercises test algebraic computation, geometry with proofs, functions, statistics and probability, and real-world problem-solving. Calculators are allowed. Writing quality, reasoning clarity, and calculation step presentation are evaluated.

Mathematics program for 2026 exams

The brevet mathematics curriculum covers five major domains. Numbers and computation: relative numbers, fractions, powers, algebraic calculation (expanding, factoring), first-degree equations and inequalities. Geometry: Pythagorean theorem and its converse, Thales' theorem and its converse, trigonometry in right triangles (cosine, sine, tangent), transformations (symmetries, rotation, homothety), solid cross-sections, volumes (cone, pyramid, sphere). Data organization and management: statistics (mean, median, range, quartiles), probability, frequency and simulation. Functions: function concept, linear and affine functions, graph reading, proportionality. Algorithms and programming: Scratch (loops, conditions, variables), introduction to Python, analysis and creation of simple algorithms.

Pythagorean theorem and converse
Thales' theorem and converse
Trigonometry (cosine, sine, tangent)
Linear and affine functions
Probability and statistics
Algebraic computation (expanding and factoring)
Scratch and Python programming
Volumes and solid cross-sections

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Tips to succeed in the mathematics exam

1
Tip 1

In geometry, always draw a clean, labeled figure before starting your proof. Mark right angles, known lengths, and parallel lines directly on the diagram. A clear figure helps you see which theorem to apply (Pythagorean for lengths in right triangles, Thales for parallel lines).

2
Tip 2

Write each calculation step on a separate line and justify every transition. Brevet examiners award points for intermediate steps, not just the final result. Writing 'since the lines are parallel, by Thales' theorem' earns points even if the final calculation is wrong.

3
Tip 3

Systematically verify your results by substituting them back into the original problem. If you find x = 5, replace x with 5 in the original equation and check the equality holds. This habit eliminates sign and calculation errors.

4
Tip 4

Manage your time by allocating about 15 to 20 minutes per exercise. Start with exercises you master best to secure points. If stuck on an exercise for more than 5 minutes, move on and return to it at the end with fresh eyes.

5
Tip 5

For the Scratch programming exercise, read the script block by block while simulating execution with concrete values. Record variable values at each step in a table. In Python, trace variable changes line by line to understand the loop.

Common mistakes in mathematics

Avoid these classic pitfalls to earn more points on exam day.

Forgetting units in final answers. If the problem mentions meters, your answer must include meters (or square meters for area, cubic meters for volume). An answer without units is considered incomplete in the brevet.

Not showing calculation steps thinking the result alone is enough. In the brevet, the process is worth as much as the result. An exercise with only the final answer gets at most 1 point out of 15, even if the answer is correct.

Doing geometry without a figure or with a figure that is too small and unlabeled. Pythagorean and Thales' theorems require a figure with data reported on it. Without a figure, reasoning errors are much more frequent.

Not reading the entire problem before starting. Some questions are linked, and information from question c) may help solve question a). Read the full exercise, underline important data, then begin.

FAQ about the mathematics exam

How many points is the brevet math exam worth in 2026?

The mathematics exam is worth 100 points out of the brevet's 800 total points. It's one of the two most important exams alongside French (also 100 points). The 6-7 exercises are individually graded and intermediate points count, so showing all calculation steps is essential even if you don't reach the final answer.

How to prepare for the Scratch programming exercise in the brevet?

The Scratch programming exercise systematically appears in the brevet. To prepare, practice reading scripts block by block while simulating their execution on paper. Understand 'repeat N times' and 'repeat until' loops, 'if...then...else' conditions, and variables. Do past papers: Scratch exercises follow recurring patterns (drawing figures, calculating sums, simulating games). Some academies also include Python exercises, so familiarize yourself with for and while loops.

Do I need to memorize the proofs of Pythagorean and Thales' theorems?

No, proofs are never required in the brevet. However, you must perfectly master applying these theorems: knowing when to use Pythagoras (right triangle, calculating a length or verifying a right angle) and when to use Thales (parallel lines, calculating a length). Each theorem's converse is also fundamental: Pythagoras' converse proves a triangle is right-angled, Thales' converse proves lines are parallel.

What types of probability problems appear in the brevet?

Brevet probability problems are concrete and accessible: drawing from a bag, rolling dice, random selection from a list. You'll be asked to calculate simple probability (favorable outcomes / total outcomes), interpret experimentally obtained frequency, or compare theoretical probability with experimental frequency. Master the vocabulary: random experiment, outcome, event, probability, equiprobability. Probability trees are not part of the brevet curriculum but can help organize reasoning.

How to manage time well during the math exam?

The exam lasts 2 hours for 6-7 exercises, about 15-18 minutes per exercise. Start by reading all exercises and identify the ones you know best. Complete those first to secure maximum points. If stuck on a question, don't spend more than 5 minutes: note your ideas and move on. Keep 10 minutes at the end to reread your paper, check units, and verify calculations. Sign errors and forgotten units are the most common and easiest to fix during review.

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