Answers to the mathematics exam 2021 in France

corrected by Report an error on this Mathovore page.Report an error / Note?
Find the answers to the 2021 French patent exam.

Exercise 1:

The average temperature in Tours in November 2019 was 8.2°C.

2. The range of this series is the difference between the extreme values:
e = 22.6 – 4.4 = 18.2°C.

3. The formula to enter in cell N2 to calculate the annual average temperature is :
= AVERAGE(B2:M2) or SUM(B2:M2)/12.

4. The average annual temperature is :

m=\frac{4,4+7,8+...+7,8}{12}=\frac{157,2}{12}=13,1^{\circ}C

5. The percentage increase between 2009 and 2019, rounded to the nearest whole number, is :

p=\frac{13,1-11,9}{11,9}\approx\,10%.

Exercise 2:

To reach 2 million visitors, 0.1 million visitors are missing, i.e. 100,000 visitors.

2.2019 has 365 days so on average the number of visitors per day (assuming the park is open every day) is :

m=\frac{1\,900\,000}{368}\approx\,5\,205

So the statement is false, if we look for an approximate value to the unit.

3. A teacher organizes a field trip to the Futuroscope for his third grade students. He wants to divide the 126 boys and 90 girls into groups. He wants each group to have the same number of girls and the same number of boys.
boys.
3. a. Decompose the numbers 126 and 90 into products of prime factors.

126=2\times  \,3^2\times  \,7\\90=2\times  \,3^2\times  \,5

b. The integers that divide both the numbers 126 and 90 are: 1; 2; 3; 6; 9 and 18.

3. c. Deduce the largest number of groups that the teacher can form. How many girls and boys will there be in each group?
– The number of groups n must be a common divisor of 126 and 90, and we are looking for the largest,
it will be the PGCD of 126 and 90 or :
126\,=\,18\,\times  \,7\,;90\,=\,18\,\times  \,5
n = P GCD(126, 90) = 18
Each group will have 7 boys and 5 girls.

4. Two students of 3ème, Marie and Adrien, remember having seen in mathematics that the inaccessible heights could be determined with the shadow. They want to calculate the height of the Futuroscope Gyrotour. Mary places herself as shown in the figure below, so that her shadow coincides with that of the tower. After making several measurements, Adrien makes the diagram below (the diagram is not to scale), on which points A, E and B and points A, D and C are aligned.

Calculate the height BC of the Gyrotour.

The points A, D, C and A, E, B are aligned and the lines (ED) and (BC) are parallel.
We can therefore apply the theorem of Thales:

\frac{AD}{AC}=\frac{ED}{BC}

The point D belongs to the segment [AD] so :
AC = AD + DC = 2 + 54.25 = 56.25 m
So:
\frac{2}{56,25}=\frac{1,6}{BC} so BC=\frac{56,25\times  \,1,6}{2}=45\,m.

Exercise 3:
This exercise is a multiple choice questionnaire (MCQ). No justification is required. For each question, three answers (A, B and C) are proposed. Only one answer is correct. Copy the question number and the answer on the copy.
Part A
1. The correct answer is C.

2. The correct answer is A.

Part B

3. The correct answer is A.

4. The correct answer is B.

5. The correct answer is B.

Exercise 4:

Here is a calculation program:
– Choose a number.
– Take the square of the starting number.
– Add three times the number of starts.
– Subtract 10 from the result.

3.

Exercise 5:

  1. The annual production of waste per French person was 5.2 tons per capita in 2007. Between 2007 and 2017, it decreased by 6.5% so that’s a decrease of :

5,2\times  \,\frac{6,5}{100}=0,338\,tonne.

2.a. ABHD is a rectangle so HB = DA = 39 cm. And since the point H belongs to the segment [CB] we have :
CH = CB – HB = 67 – 39 = 28 cm.

b. In the triangle HDC rectangular in H, according to the Pythagorean theorem we have :
DC^2\,=\,HD^2\,+\,HC^2\,\\532\,=\,HD2\,+\,28^2\,\\HD^2\,=\,53^2\,-\,28^2\,\\HD^2\,=\,2809-\,784\,\\HD^2\,=\,2025

Now HD is positive since it is a length, so the only possible solution is :
HD\,=\sqrt{2025}
HD = 45 cm

c. The area of trapezoid ABCD is :

The volume of the compositor is the sum of that of the right prism V1 and that of the right block V2.

The height of the right block is :
h = 1.1 m – AB = 110 – 45 = 65 cm

So we have:
V1\,=\,Aire(ABCD)\,\times  \,70\,=\,166\,\,\,950\,\,cm^3\,\\V2\,=\,70\,\times  \,67\,\times  \,(110-\,45)\,=\,\,\,304\,\,\,850\,\,cm^3

V\,=\,471\,\,800\,\,cm^3

The volume of the composter was shown to be V = 471 800 cm^3
. We still have to convert it into m^3.
. V = 471 800 cm^3 = 0, 471 800 m^3.
We can therefore say that the assertion is true, but we would have to specify the degree of approximation desired.

You can download the answer key for maths 2021 in France in PDF format.

Cette publication est également disponible en : Français (French) Español (Spanish) العربية (Arabic)


Download and print this document in PDF for free

You have the possibility to download then print this document for free «answers to the mathematics exam 2021 in France» in PDF format.



Other documents in the category corrected by


Download our free apps with all corrected lessons and exercises.

Application Mathovore sur Google Play Store.    Application Mathovore sur Apple Store.     Suivez-nous sur YouTube.

Other forms similar to answers to the mathematics exam 2021 in France.


  • 96
    Statistics: answer key for 3rd grade math exercises in PDF.The answer key to the math exercises in 3rd grade on statistics. Know how to calculate the mean, frequency and median of a statistical series in the third grade. Exercise 1: Let be the number of girls the number of boys is . Conclusion: there are 15 girls and 10…
  • 96
    Geometry in space : corrected math exercises in 2nd grade in PDF.The answer key to the math exercises in 2nd grade on geometry in space. Tetrahedron and intersection of planes in second grade. Exercise 1: 1. Prove that each of the points I and J belongs to both the (AJB) and (CID) planes. J belongs to the plane (AJB) by definition,…
  • 94
    The bisector of an angle : corrected 6th grade math exercises in PDF.Answer key to 6th grade math exercises on the bisector of an angle. Know how to draw the bisector of an angle using the compass and protractor and then demonstrate by applying the proprerogatives of the bisector in sixth grade. Exercise 1: In each case, here are the bisectors of…


Les dernières fiches mises à jour.

Voici les dernières ressources similaires à answers to the mathematics exam 2021 in France mis à jour sur Mathovore (des cours, exercices, des contrôles et autres), rédigées par notre équipe d'enseignants.

  1. Abonnements
  2. Maths : cours et exercices corrigés à télécharger en PDF.
  3. Subscriptions
  4. Suscripciones
  5. الاشتراكات

Free registration at Mathovore.  On Mathovore, there is 13 703 251 math lessons and exercises downloaded in PDF.

Mathovore

FREE
VIEW