Exercises

Every exercise from the courses, in one place. Search for a specific one, filter by subject, or let chance pick one for you.

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Flash questionsShort drills on core skills, as cards to project or print.See the series

1120 exercises

Geometric sequences

Mathématiques – Suites3 exercises

Short answerIntermediate

Calculate a term using the general formula

MCQIntermediate

Behaviour of a geometric sequence

Open answerIntermediate

Compound interest and geometric progression

Direction of variation of a sequence

Mathématiques – Suites4 exercises

MCQIntermediate

Direction of variation of an arithmetic sequence

Short answerIntermediate

Calculating the difference between terms

Open answerIntermediate

A study of a recurring sequence

MCQIntermediate

Direction of change using the quotient method

Limit of a sequence

Mathématiques – Suites4 exercises

Definition and properties of the limit

Short answerAdvanced

Calculating the limit of a rational sequence

A monotonous and narrow-minded sequence

Open answerAdvanced

Proof using the ‘policemen’s theorem’

Modular arithmetic, the foundation of cryptography

Cryptographie – Mathématiques4 exercises

Short answerIntermediate

Reduce modulo n

MCQIntermediate

Existence of the inverse

Short answerIntermediate

Modular exponentiation

Open answerIntermediate

Why reduce at every stage?

Public-key cryptography and RSA

Cryptographie – Clé publique4 exercises

The role of the two keys

Open answerAdvanced

The problem of scale

Short answerAdvanced

Calculate the RSA modulus

RSA Security

Hash functions and digital signatures

Cryptographie – Intégrité4 exercises

Properties of hashing

Open answerAdvanced

Why add salt and slow things down?

What a signature guarantees

Short answerAdvanced

Which key should I use to sign?

Secret codes: encryption and decryption

Cryptographie – Fondamentaux1 exercise

Understanding Kerckhoffs