Brevet maths 2019: blank subject to revise online.

math certificate Report an error on this Mathovore page.Report an error / Note?
A blank maths 2019 patent topic to allow students to review online and prepare in the best conditions for the DNB 2019 middle school math tests.

Exercise 1: 20 points.
Part 1
We’re interested in a race conducted in early 2018. There are 80 participants, including 32 women
and 48 men.
Women wear red bibs numbered from 1 to 32. Men wear green bibs
numbered from 1 to 48.
There is therefore a red number 1 for a woman, and a green number 1 for a man, and so on.
right away …
1. What is the percentage of women participating in the race?
2. A facilitator randomly draws a participant’s bib to award a consolation prize.
a. Let the event V be: “The bib is green”. What is the probability of the event V?
b. Let the event M be: “The number of the bib is a multiple of 10”. What is the probability
of the event M?
c. The announcer announces that the bib number is a multiple of 10. What is then the
probability that it belongs to a woman?

Part 2
At the end of the race, the standings are posted below.
We are interested in the birth years of the first 20

1. The years of birth of the runners were arranged
in ascending order :

Give the median of the series.

2. The average of the series was calculated in cell B23.
What formula was entered in cell B23?
3. Astrid notes that the mean and median of this series are equal.
Is this the case for any other statistical series?
Explain your answer.

Exercise 2: 11 points.
1. The number 588 can be decomposed into the form 588 = 22×3×72.
What are its prime divisors, i.e. numbers that are both prime numbers
and divisors of 588?
2. a. Determine the prime factor decomposition of 27,000,000.
b. What are its prime divisors?
3. Determine the smallest odd positive integer that has three different prime divisors.
Explain your reasoning.

Exercise 3: 13 points.
After one of his running workouts, Bob
receives a summary of his or her performance from his or her coach
race, reproduced below.

The average pace of the runner is the quotient of the duration of the race by the distance covered and is expressed in min/km.
Example: if Bob takes 18 min to walk 3 km, his pace is 6 min/km.

Exercise 4: 17 points.

Worker bees go back and forth between the flowers and the hive to transport nectar and
the pollen of the flowers that they store in the hive.
1. A bee has an average mass of 100 mg and brings in an average of 80 mg of filler (nectar,
pollen) on each trip.
A man has a mass of 75 kg. If it were to be charged in proportion to its mass, like a
bee, what mass would this man carry?
2. When they return to the hive, the bees deposit the collected nectar in cells.
We consider that these cells have the shape of a prism of 1.15 cm height and whose base
is a hexagon with an area of about 23 mm², see the figure below.
a. Check that the volume of a hive cell is equal to 264.5 mm².

b. The bee stores nectar in its crop. The crop is a small pocket under the abdomen
with a volume of 6\times  ,10^{-5} liter. How many times does the bee have to go out to
fill a cell?
(reminder: 1 dm^3 = 1 liter)
3. The graph below shows the French honey production in 2015 and 2016.

a. Calculate the total amount of honey (in tons) harvested in 2016.
b. Knowing that the total amount of honey harvested in 2015 is 24,224 tons, calculate the
percentage decrease in honey harvest between 2015 and 2016.

Exercise 5: 15 points.
Sam has written the following program to draw a rectangle
as shown on the right.

This program has two variables (Length) and (Width) which
represent the dimensions of the rectangle.
It is recalled that the instruction means that we are moving to the right.

1. Complete the rectangle block above with numbers and variables to make the script work.
Only the repeat loop will be copied and completed on its copy.
2. When running the program, what are the coordinates of the end point and in
Which direction are we facing?
3. Sam modified his script to also draw the image of the rectangle by the homothety of center
the point with coordinates (0; 0) and ratio 1.3.

a. Complete the new Sam script given opposite to obtain the figure below.

We will copy and complete on his copy the lines 9 and 10 as well as the missing instruction
online 11.

b. Sam runs his script. What are the new values of the variables Length and Width
at the end of the script execution ?

Exercise 6: 12 points.
The figure below gives a schematic of a calculation program.

1. If the starting number is 1, show that the result is -15.
2. If we choose any number x as a starting number, among the following expressions,
which one gives the result obtained by the calculation program? Justify.
A,=,(x^2-5)\times  ,(3x,+2),\\B,=,(2x-5)\times  ,(3x,+2)\\,C,=,2x,-5\times  ,3x,+2
3. Lily claims that the expression D,=,(3x+2)^2,-(x+7)(3x+2) gives the same results as expression B for all values of x.
Is Lily’s statement true? Justify.

Exercise 7: 12 points.
For mountain running, some athletes measure their performance by speed
ascending, noted Va.
Va is the quotient of the difference in altitude of the race, expressed in meters, by the duration, expressed in

For example: for a difference in altitude of 4,500 meters, the journey takes 3 hours: Va = 1,500 m/h.
Reminder: the difference in elevation of the race is the difference between the altitude at the finish and the altitude at the start.
A high level runner wants to reach a climb speed of at least 1400 m/h when
of his next race.

The course is broken down into two stages (see Figure 2):
– First stage of 3 800 m for a horizontal displacement of 3 790 m.
– Second stage of 4.1 km with a slope angle of about 12°.
1. Check that the first step is about 275.5 m.
2. What is the elevation gain of the second stage?
3. From the start, the runner takes 48 minutes to reach the summit.
Does the runner reach his goal?

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 maths 2019: blank subject to revise online.» in PDF format.

Other documents in the category math certificate

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 brevet maths 2019: blank subject to revise online..

  • 100
    Annales du brevet de maths 2023 : revise the DNB of maths.Excerpts from the 2023 math patent topics organized by chapter. These extracts allow you to revise the brevet des collèges in order to prepare yourself in the best conditions. In addition to all the subjects of the brevet de maths of the previous sessions, Mathovore provides you with extracts of…
  • 100
    Subject of the patent of maths France 2016Brevet de maths France 2016 Exercise 1: (4 points) A company markets electronic components that it manufactures in two factories. During a quality control, 500 components are taken from each plant and examined to determine whether they are "good" or "bad". Results obtained for all 1000 components sampled: 1) If…
  • 100
    Exercise 1 : 13 points Damien has made three perfectly balanced but somewhat unusual six-sided dice. On the faces of the first die are written the six smallest strictly positive even numbers: 2; 4; 6; 8; 10; 12. On the faces of the second die are written the six smallest…

Les dernières fiches mises à jour.

Voici les dernières ressources similaires à brevet maths 2019: blank subject to revise online. 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 13 703 920 math lessons and exercises downloaded in PDF.