# Answer key for the maths brevet France 2016

The answer key to the June 2016 math patent topic.

Exercise 1:

1. 2.
2. Plant A:

Plant B:

Only plant A has a satisfactory control?

Exercise 2:

1. Program A :
2. Program B:
3. Program A = Program B

Exercise 3:

Figure 1: ABC is a right triangle and .

Figure 2: ABC is a right triangle and

so

Figure 3:

Exercise 4:

1. a.

b.

3.

Exercise 5:

It will take 2 bags or

Property: (AS) // (RC) because two lines perpendicular to a third are parallel to each other.

2. We know that

according to the direct part of Thales’ theorem, we have :

so

Exercise 6:

Part 1:

1. Piece 1 = 8 cm and piece 2 = 12 cm.a square of side 8:4=2cm and an equilateral triangle of side 12 : 3 = 4 cm.
2. with AH the height of the equilateral triangle.

We obtain .

Part 2:

1. Let x : the length of the piece 1.

2. a.

b.

Exercise 7:

Yes, he can add a liter of colored water without risking an overflow.

Continue to practice by consulting the
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