Brevet blanc de maths 2023 with subject to revise its patent.

math certificate

A brevet blanc 2023 in maths with a subject containing numerous exercises to prepare for the brevet des collèges 2023 test.

MATHEMATICS PATENT
TEST DURATION: 2 hours

Exercise 1:

In this exercise, we will use the following calculation program:

Calculation program:
– Choose a number x,
– Remove 3 from the double of x,
– Take the square of the result,
– Subtract 16 from the result.

1) If we choose = 5, what is the final result? And for x = -3 ?

2) State which of the following expressions describes the given program:

a)
b) $((x-3)\times ,2)^2-16$
c)
d)
e)
f) $(-3\times ,2x)^2-1$

3) We pose .
Show that .

4) For what values of x does the calculation program give the number 0 as the final result?

Exercise 2:

The figure below is not to scale.

We give:
– AC = 59 cm and AE= 76.7 cm.
– B is a point on the segment [AC] such that AB = 37 cm.
– D is a point on the segment [AE] such that AD = 48.1 cm.

1) Determine the PGCD of the numbers 481 and 767.
2) Simplify the fraction $\frac{481}{767}$ by detailing the calculations.
3) Using the previous result, show that the lines (BD) and (CE) are parallel.

Exercise 3:

Here are the distances between the Sun and three planets of the solar system:
Venus: $108,\times ,10^6$ km Mars: $2279,\times ,10^5$ km Earth: $1,5,\times ,10^8$ km.
Among these three planets, which one is the farthest from the Sun? Justify.

Exercise 4:

In the Aléa family, we have found an original way to designate which of the three children will be the one to make the
dishes : we throw 2 times a 1€ coin :
– If the piece falls on its face twice, it will be Marc,
– If the coin falls twice on Tails, it will be Elise,
– If the coin falls on two different sides, it will be Leo.
Does this seem fair to you? Explain.

Exercise 5:

The diagram is not to scale.

A Guyanese crew, participating in a regatta, decides to redo the sails of its three-masted boat.

1. The small sail is represented by the triangle EFG rectangular in E with EG= 4,5 m and FG = 7,5 m.

a) Show that EF = 6 m.
b) Calculate the measure, rounded to the nearest degree, of the angle $\widehat{EGF}$ .

2. The average sail is represented by the triangle DEC rectangular in C with EC = 7.5 m.

a) Using the geometric configurations coded on the figure, show that the lines (DC) and
(EF) are parallel.
b) Calculate the distance DC.

3. For the main sail, represented by the BAC triangle, the crew already has the measurements that
are : AB = 24 m, BC = 7 m AC = 25 m .
Is the triangle ABC rectangular?

4. On the attached sheet, draw the triangles EFG and DCE using a scale of 1 cm for 2 m.
You will make this figure carefully leaving the construction lines.

Exercise 6:

On the figure provided in the Appendix are plotted the graphical representations of two functions f and g.
The curve C corresponds to the function f and the line D to the function g.
For the 4 following questions you will indicate by dotted lines on the figure provided in Appendix the
justifications of your graphic reading.
The questions are independent.

1. Read on the graph f(0), f(-3) and f(7)
2. What are the images of 1 and 4 by the function f?
3. What are the antecedents of 4 by the function f?
4. How many antecedents of -2 are there to the function f?
5. What about the function g? Determine its expression. You will justify your answers.
6. Draw on the figure provided the graphical representation of the function $h(x)=\frac{2}{3}x$ .

You will justify your plot.

Exercise 7:

In this exercise, any trace of research, even if incomplete, will be taken into account in the scoring.
For each statement, say whether it is true or false; justify the answer:

Assertion 1:
For any integer, the expression is always different from zero.

Assertion 2:
If you lower the price of an item by 20% and then raise the new price by 20% then
we come back to the starting price.

Assertion 3:
The product of $2-\sqrt{5}$ by $2+\sqrt{5}$ is 1.

Assertion 4:
-2 is a solution of the equation .

APPENDICES

Exercise 5: Draw below the figure requested in question 4

Exercise 6: Here is the graph to complete

Consult the online answer key

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 «brevet blanc de maths 2023 to prepare for the DNB.» in PDF format.

Other forms similar to brevet blanc de maths 2023 to prepare for the DNB..

Brevet de maths 2017: blank subject to revise the DNB in 3ème.
100
Brevet de maths 2017 with a blank subject on the Pythagorean theorem and trigonometry as well as a MCQ and use of the spreadsheet and calculation of the volume of a solid. Exercise N°1: QCM 5 points. This exercise is a multiple choice questionnaire. For each row in the table,…
Brevet de maths 2017 : mock revision subject
97
MATHEMATICS MOCK PATENT - 24/01/2017 The subject consists of seven independent exercises. They can be treated in any order. The calculator is allowed. The clarity of the writing and the care of the copy will be taken into account. Exercise 1 (3 points) Two numbers are twin primes if they…
Answer key France 2018 of the patent of maths
97
Here are the answers to the 2018 mathematics patent in metropolitan France 2018.

Les dernières fiches mises à jour.

Voici les dernières ressources similaires à brevet blanc de maths 2023 to prepare for the DNB. mis à jour sur Mathovore (des cours, exercices, des contrôles et autres), rédigées par notre équipe d'enseignants.

On Mathovore, there is 13 703 582 math lessons and exercises downloaded in PDF.

Brevet blanc de maths 2023 to prepare for the DNB.

Other documents in the category math certificate

Other forms similar to brevet blanc de maths 2023 to prepare for the DNB..