Third graders take their patent math test this Monday, June 26. Discover the topic and the answer.
Candidates for the 2023 patent take their math test this Monday, June 26, 2023. Discover the subject of the general series on which 777,214 students work.
The general sector math subject and its answer key
• The subject of math
Exercise 1 (20 points)
An optician sells different models of sunglasses. He reports in the spreadsheet below information on five models sold during the year 2022.
1. Show that the price range of these pairs of sunglasses is 85 euros.
2.a. What formula should be entered in cell G2 to calculate the total number of pairs of sunglasses sold in 2022?
b. Calculate the total number of pairs of sunglasses sold in 2022.
3.a. Calculate the total amount, in euros, of sales of pairs of sunglasses in 2022.
Calculate the average price of a pair of sunglasses sold in 2022, rounded to the nearest cent.
Exercise 2 (20 points)
In the figure below:
– BCDE is a rectangle, BAE is a right triangle at A;
– the perpendicular to the line (CD) passing through A intersects this line at H;
– the lines (AE) and (CD) intersect at F.
We give:
– AB=BC=4.2cm;
– EB = EF = 7 cm.
1. Show that the area of the rectangle BCDE is equal to 29.4 cm².
2.a. Show that the length AE is equal to 5.6 cm.
b. Calculate the area of right triangle ABE.
3.a. Show that the lines (ED) and (HA) are parallel.
b. Calculate the length AH.
Exercise 3 (20 points)
This exercise is a multiple choice questionnaire (MCQ).
For each question, three answers (A, B or C) are proposed. Only one answer is correct.
Copy on the copy the number of the question and the answer chosen. No justification is required.
Exercise 4 (20 points)
We want to make a wooden staircase 272 cm high.
The figure below shows a profile view of this staircase.
The height of a step is 17 cm.
The depth of a step to place the foot measures 27 cm.
Exercise 5 (20 points)
Here are two calculation programs.
1.a. Show that, if we choose −3 as the starting number, the result obtained with program A is 11.
b. What result do we get with program B if we choose 5.5 as the starting number?
2. By designating by x the starting number, we obtain −2x+5 as a result with the program A.
Show that with the same starting number, the result of program B is equal to 3x−4.
3.a. We have shown opposite the functions f And g defined by f(x)=−2x+5 and g(x)=3x−4.
Associate, by justifying, each straight line with the function which corresponds to it.
b. By graphical reading, give, as precisely as possible, the number whose image is the same by the function f and the function g.
4. Determine by calculation the starting number for which programs A and B give the same result.
• The corrected
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