The test consists of five exercises.
NATIONAL PATENT DIPLOMA – ASIA PACIFIC
SESSION 2021
MATHEMATICS
General series
Duration of the test: 2 hours
Exercise 1 (24 points)
For each of the following six statements, write the question number and answer on the copy
chosen. There is only one correct answer per statement. Remember that all answers must be
be justified.
Exercise 2 (21 points)
The quadrilateral ABCD is a square with side length 1 cm. is noted square O.
The points A, B, E and H are aligned, as are the points A, D, G and J.
We build a sequence of squares (square 1, square 2, square 3, …) by doubling the length
of the side of the square, as shown below for the first three squares.
The figure is not full size.
1) Calculate the length AC.
2) We choose a square from this sequence of squares.
No justification is required for questions 2)a) and 2)b).
a) What is the magnification factor of the lengths to go from this square to the square
next?
b) What type of transformation is used to go from this square to the next square?
3) The statement “the length of the diagonal of square 3 is three times greater than the
Is the length of the diagonal of the 1” square correct?
4) Using a calculator, determine an approximate value for the measure of the angle
to the nearest degree.
Exercise 3 (23 points)
Here is an algorithm:
1) Justify that if we choose the starting number N equal to 18, the final result of this algorithm
is 28.
2) What is the final result if we choose 14 as the starting number N?
3) By applying this algorithm, two different starting numbers allow to obtain 32
as the final result. What are these two numbers?
4) We program the previous algorithm:
5) A prime number between 10 and 25 is chosen at random as the starting number N.
What is the probability that the algorithm will return a multiple of 4 as the final result?
Exercise 4 (16 points)
In physical education and sports (PE) class, your 24 students in a third grade class
are involved in long-distance running.
Students perform the half-Cooper test: they must travel the greatest distance
possible in six minutes. Each student then calculates his or her average speed over this race.
The result obtained is called MAV (Maximum Aerobic Speed).
I) After her warm-up, Chloe performs this half-cooper test. It runs through
1,000 meters in 6 minutes. Show that his MAV is equal to 10 km/h.
2) The teacher collected the results and obtained the following documents 1 and 2:
Say whether the following statements are true or false.
Remember that all answers must be justified.
a) Assertion 1:
The range of the Statistical Series of the girls’ MAVs in the class is more
than that of the Statistical Series of VMA of the boys in the class.
b) Statement 2: More than 25% of the students in the class have an AMV less than or equal to
11.5 km/h.
c) The teacher wants half the class to compete.
It therefore selects the twelve with the highest VMA.
Statement 3: Lisa is participating in the competition.
Exercise 5 (16 points)
Part 1
By placing several unit cubes, we build this solid:
Question: How many unit cubes are needed to complete this solid and
get a right block?
Part Two
A 3D game contains the seven pieces shown below.
Each piece is made of identical cubes with an edge of 1 dm.
1) Draw a top view of the part n°4 (taking 2 cm on the drawing to represent
1 dm in reality).
2) Using all seven pieces, it is possible to build a large cube without
empty space.
a) What will be the volume (in ) of this large cube?
b) What is the length of an edge (in dm) of this large cube?
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 2021 - Asia Pacific - 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 Maths 2021 - Asia Pacific - Subject and answer key in PDF.
- 100
Subject of the patent of maths 2017 blank where the exercises are independent from each other. Unless otherwise specified, all answers must be justified and calculations must be detailed. Classical geometry material is allowed. BREVET MATHEMATICS TEST Duration: 2 hours The use of a calculator is allowed. The use of…
- 100
- 100
Les dernières fiches mises à jour.
Voici les dernières ressources similaires à brevet Maths 2021 - Asia Pacific - 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 13 703 924 math lessons and exercises downloaded in PDF.