Pro series patent 2024: the answer key to the mathematics subject

After two hours of exam here is the answer key for the mathematics subject of the 2024 patent for the pro series. Tomorrow all middle school students applying for the certificate will continue with History-Geography and moral and civic education and Sciences!

Here is the comment from our correcting teacher:

Accessible subject which mobilizes several notions of the cycle 4 program, the exercises are similar to what is usually offered at the brevet. But the subject mobilizes more conversions than that of the general series, with sometimes more complicated questions.

Series: Pro – consult here the answer key for the general series maths subject

Correction – Mathematics – Brevet series pro 2024

Exercise 1

1. 10^6 2) 3,4 m 3) 1/6 4) 56 g 5) 8 cm3

Exercise 2

1. has. Right pad volume = Length×width×height

V = 50×25×3=3,750 The volume is 3,750 m3.

3 750 m3 = 3 750 x 1m3 = 3 750 1 000 L = 3 750 000 L

The volume is 3,750,000 L.

b. V = 25×12,5×3=937,5

The water volume of this swimming pool is 937.5 m3 or 937,500 L.

3,750,000 ÷ 937,500 = 4 The statement is true.

1. 100/56 ≃ 1.786 The average speed is about 1.79 m/s.
2. 1.79 ⨯ 3.6 ≃ 6.44 The average speed is approximately 6.44 km/h.
3. a. 100 ÷ 1.92 ≃ 52.083 It took about 52.08 s.

b. 7 ÷ 3.6 ≃ 1.944 7 km/h corresponds to approximately 1.94 m/s.

1.94 > 1.92 So the person walking is faster than Emma MacKeon.

Exercise 3

1. a. 5 + 4 + 6 + 2 + 2 + 7 + 2 + 3 + 4 = 35 Arthur made 35 shots.

b. 35/56 = 0.625 Arthur made 62.5% of his shots.

c. 35/9 ≃ 3.8 The average number of successful shots is around 4.

d. He made a minimum of 2 shots and a maximum of 7 shots.

7 – 2 = 5 The range of the number of successful shots is 5.

2. The range is lower for Kevin, so he has a close number of successful shots in each match (range 2 while Arthur’s is 5).

Exercise 4

1. AC = AF + FD + DC = 2,9 + 1,5 + 2,4 = 6,8 [AC] measures 6.8 m.
2. We know that ABC is a right triangle at B.

But according to the Pythagorean theorem, we have: AC² = AB² + BC²

So 6.8² = 2.8² + BC²

46,24 = 7,84 + BC²

BC² = 38,4

BC = √38,4

BC ≃ 6,2

From where [BC] measures approximately 6.2 m.

1. A= 2.8×6.22=8.68 The area of ​​the sail is approximately 8.7 m².
2. 8,7
3. We know that the lines (DE) and (FG) are parallel.

But according to Thales’ theorem, we have: CD/CF = CE/CG = DE/FG

So 2.4/(2.4+1.5) = CE/CG = 1.1/FG

FG = 1,1 ×(2,4+1,5)2,4= 1,1×3,92,4=1,7875

[FG] measures approximately 1.8 m.

1. 1,7

Exercise 5

1. This is answer A, the number is first multiplied by 5 and then 2 is added according to line 4 of the program.
2. The result is displayed for 2 seconds.
3. You have to solve the equation 5x+2=97

5x + 2 = 97

5x + 2 – 2 = 97-2

5x = 95

x = 95/5

x = 19

The solution to the equation is 19.

The number initially chosen to obtain 97 is 19.

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