The seven contests

Who the seven mathematicians are

Each profile says who they were, what they found, an anecdote to tell in class, and a question from their field that your students can try right away. Contest questions are multiple choice, five options, A to E.

Archimedes

45 min30 questions

Gr. 3

Syracuse, 3rd century BCE. We owe him the principle that bears his name, a remarkable approximation of π, and machines that defended his city.

To tell in class: he is said to have found, in his bath, how to check whether a crown was pure gold, and to have run out shouting “Eureka!” The first mathematician an eight-year-old remembers.

A question to try

An empty bucket weighs 2 kg. Full of water, it weighs 12 kg. Half full, it weighs:

Lovelace

45 min30 questions

Gr. 4

Ada Lovelace, London, 1815-1852. She wrote the first program in history, for a machine that was never built in her lifetime.

To tell in class: she understood before anyone else that a machine for numbers could one day compose music. The computer did not exist yet.

A question to try

A machine follows this rule: “take the number, double it, then subtract 3”. You enter 5, then you enter the result into the machine a second time. What number comes out at the end?

Ramanujan

60 min40 questions

Gr. 5

Srinivasa Ramanujan, India, 1887-1920. Self-taught, he rediscovered major results on his own, then found thousands more.

To tell in class: one day, a colleague told him that his taxi number, 1729, was quite dull. Ramanujan replied at once that it is the smallest number that can be written as the sum of two cubes in two different ways.

A question to try

How many whole numbers between 1 and 100 are multiples of both 4 and 6?

Du Châtelet

75 min45 questions

Gr. 6

Émilie du Châtelet, France, 1706-1749. She translated and commented on Newton’s work in French, and her translation is still the reference.

To tell in class: to enter a Paris café reserved for men where science was discussed, she showed up dressed as a man.

A question to try

A rectangle has a perimeter of 36 cm. Its length is twice its width. What is its area?

Al-Khwarizmi

75 min40 questions

Gr. 7 · Sec. 1

Baghdad, around 780-850. His name, altered in Latin, gave us the word “algorithm”. The title of his book gave us the word “algebra”.

To tell in class: he solved equations with no symbols at all, only with sentences and drawings of squares. The letter x did not exist yet.

A question to try

We are looking for a number. Adding 7 to its triple gives the same result as subtracting 5 from its quintuple. What is the number?

Noether

75 min40 questions

Gr. 8 · Sec. 2

Emmy Noether, Germany, 1882-1935. Her theorem links the symmetries of nature to the conservation laws of physics.

To tell in class: Einstein considered her the most important mathematician of her time. For years, she taught at the university without being paid.

A question to try

In a sequence, each term is the sum of the two before it. The 4th term is 11 and the 6th term is 29. What is the 3rd term?

Poincaré

75 min40 questions

Gr. 9 · Sec. 3

Henri Poincaré, France, 1854-1912. The last person to have mastered all the mathematics of his time, and one of the founders of chaos theory.

To tell in class: he said he found a major idea as he was stepping onto a bus, after weeks of not thinking about it. He drew from that a theory of how discoveries are born.

A question to try

A circle is drawn inside a square of side 10 cm, tangent to all four sides. What is the area of the region inside the square but outside the circle?

Format

What the seven contests share

  • Multiple choice, five options from A to E, one correct answer.
  • Automatic marking. The student’s results are visible as soon as they are published.
  • The questions test reasoning, deduction and strategy. None of them is a speed test.
  • A preparatory test for each contest, published in advance, with the same terms and wording as the contest.
  • Every school writes the same contest during the same week, April 12 to 16. Questions and solutions stay confidential until results are published, on April 30.
  • Each student writes the contest for their grade. A student may be registered for a higher grade at the teacher’s request.