**math certificate**Report an error / Note?

Brevet des collèges Asia June 27, 2016

Duration: 2 hours

**Exercise 1 : 4 points**

This exercise is a multiple choice questionnaire (MCQ). For each line in the table, three answers are proposed, but only one is correct.

Any correct answer is worth 1 point.

Any inaccurate answer or lack of answer does not take away any points.

Indicate on your copy the number of the question and, without justifying, copy the exact answer (A or B or C).

**Exercise 2 : 6 points**

The Millau viaduct is a bridge crossing the Tarn valley, in the department

of Aveyron, France. It consists of 7 vertical towers each equipped with 22

cables called shrouds.

The diagram below, which is not to scale, represents a tower and two of its

shrouds.

The following information is available:

AB = 89 m; AC = 76 m; AD = 154 m; FD = 12 m and EC = 5 m.

1. Calculate the length of the shroud [CD]. Round to the nearest meter.

2. Calculate the measure of the angle formed by the shroud [CD] and the roadway.

Round to the nearest degree.

3. Are the shrouds [CD] and [EF] parallel?

**Exercise 3 : 6 points**

A candy company wants to verify the quality of its new

packaging machine. This machine is configured to pack approximately

60 candies per package. To verify its correct configuration, 500 packets were studied at the output of this machine.

**Document 1: Results of the study**

**Document 2: Quality Criteria**

To be validated by the company, the machine must meet three quality criteria:

– The average number of candies in a package must be between 59.9

and 60.1.

– The range of the series must be less than or equal to 10.

– The interquartile range (i.e. the difference between the third quartile and the

first quartile) must be less than or equal to 3.

Does the new machine meet the quality criteria?

*It is reminded that, for the whole subject, the answers must be justified.*

**Exercise 4: 5 points**

Adèle and Mathéo wish to participate in the Paris Marathon. After training

for months, they want to assess their fitness level before committing. For

To do this, they carried out a test called “Cooper’s test”: the objective is to run, on a track

of athletics, the longest distance possible in 12 minutes. The distance travelled

determines the physical form of the person.

**Document 1: Form index according to Cooper’s test**

The fitness index of an athlete depends on gender, age and distance covered

during the 12 minutes.

1. Check that the length of the runway is approximately 400 meters.

2. Adèle and Mathéo have decided to participate in the marathon only if their fitness index is at least at the “average” level.

Determine if Adele and Mathéo will participate in the race.

**Exercise 5 : 6 points**

Consider the functions f and g defined by :

and .

Lea wants to study the functions f and g using a spreadsheet. She has therefore fulfilled the

formulas which she then stretched to obtain the calculation of all the values.

Here is a screenshot of his work:

1. What is the image of 3 by the function f ?

2. Calculate the number that should appear in cell C3.

3. What formula did Lea enter in cell B2?

4. Using the screenshot and without justification, give a solution to the inequation .

5. Determine an antecedent of 1 by the function f .

**Exercise 6: 3 points**

In each case, say whether the statement is true or false. Justify your answer.

1. Assertion 1:

Two odd numbers are always prime to each other.

2. Assertion 2:

For any positive integer a and b, .

3. Assertion 3:

If we increase the price of an item by 20% and then by 30%, then in total the price

increased by 56%.

**Exercise 7 : 6 points**

Romane wants to prepare a cocktail for her birthday.

Reminders:

– Volume of a sphere :

–

Is the container chosen by Romane big enough to prepare the cocktail for 20

people?

*It is reminded that, for the whole subject, the answers must be justified.*

*It is reminded that all traces of research will be taken into account in the correction.*

*
Consult the
* answer key in

online

online

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 Asie Pacifique 2016: subject and answer key in PDF.**» in PDF format.

## Other documents in the category math certificate

- Brevet Maths 2022 in France: subject and answers
- French Polynesia : maths patent 2022 with subject and answers
- Asia and Pacific: maths patent 2022 with subject and answer key
- Brevet Maths 2021 : subject and answer key of the brevet blanc de maths
- Brevet Maths 2021 : white subject for the revision of the DNB
- Brevet Maths 2021 : mock subject to revise the brevet
- Brevet de maths 2022 at foreign centers: subject and answer key
- Brevet de maths 2017 : mock subject
- Brevet de maths 2017 subject 0
- Subject of the patent of maths France 2016

## Other forms similar to brevet Asie Pacifique 2016: subject and answer key in PDF..

- 100
- 100
- 98

Les dernières fiches mises à jour.

Voici les dernières ressources similaires à **brevet Asie Pacifique 2016: subject and answer key in PDF.** mis à jour sur *Mathovore* (des cours, exercices, des contrôles et autres), rédigées par notre équipe d'enseignants.

On *Mathovore*, there is **13 703 979 math lessons and exercises downloaded in PDF**.