Difference between revisions of "AY Honors/Math Skills III/Requirements/pt-br"
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Revision as of 16:52, 10 June 2021
Nível de Habilidade
3
Ano
2012
Version
19.05.2024
Autoridade de Aprovação
Divisão Sul Americana
1. Ter a especialidade Habilidades em matemática II.
2. Resolver as seguintes operações usando o algoritmo tradicional:
- a. 641 + 135
- b. 845 - 124
- c. 34 x 125
- d. 856 ÷ 24
3. Identificar e classificar os conjuntos numéricos.
4. Demonstrar habilidade de resolver as seguintes equações:
- a. 2x - 10 = -4x + 14
- b. 18x - 43 = 65
- c.
23x - 16 = 14 - 17x
- d.
10y - 5(1 + y) = 3(2y - 2) - 20
- e.
x(x + 4) + x(x + 2) = 2x² + 12
- f.
(x - 5) / 10 + (1 - 2x) / 5 = (3-x) / 4
- g.
4x(x + 6) - x² = 5x²
5.
Demonstrate the ability to solve the following products:
- a.
(x + 3y)²
- b.
(a5 + 2bc)²
- c.
(3x + y²)²
- d.
(1 + 5m)(1 - 5m)
- e.
(ab - c)²
- f.
(m - 1)³
- g.
(a³ - b³) (a³ + b³)
6.
Calculate the area of the following figures:
7.
In the Orienteering honor, the Pathfinder must have knowledge of angles to know how to use cartographic charts and to use a compass. Demonstrate the ability to convert angles to minutes, minutes to seconds, showing three practical examples.
8.
In the Pioneering honor, we learned to build camp furniture, which has a whole mathematical relationship. Design and present some camp furniture where geometric shapes appear and classify each one. Cite three examples.
9.
Present a poster showing ten practical examples of geometric figures used in a daily routine. It can be as cutouts, photos or design.
10.
Demonstrate the ability to solve the following proportion problems:
- a.
At 60 km/h I travel between two cities in two hours. Traveling at 80 km/h, what is the estimated time to travel this route?
- b.
At an average of 90 km/h, I can make a journey in three hours. To make this journey in just two hours, what should my average speed be?
- c.
If 20 men working for 20 days build 500 meters of a wall, how many men will it take to build 1000 meters more of this wall in 30 days?
11.
Demonstrate the ability to solve problem situations involving equations:
- a.
I have the following choice: I buy 20 units of a product with all the money I have, or buy only 14 units of a project with all the money I have, or buy only 14 units and I still have $15.00 in change. What is the unit value of this product?
- b.
What is the root of the equation 7x - 2 = -4x + 5?
- c.
If I add 8 to the amount of toy cars I own, I will have the same amount of cars as my brother if, of the 28 that he owns, the amount that I own is subtracted. How many toy cars do I have?
