# Adventist Youth Honors Answer Book/Health and Science/Math Skills III

From Pathfinder Wiki

Math Skills III | ||
---|---|---|

South American Division |
Skill Level 3 Year of Introduction: 2012 |

Contents

## Contents

- 1 1. Have the Math Skills II honor.
- 2 2. Solve the following operations using the traditional algorithm:
- 3 3. Identify and classify the numerical sets.
- 4 4. Demonstrate the ability to solve the following equations:
- 5 5. Demonstrate the ability to solve the following products:
- 6 6. Calculate the area of the following figures:
- 7 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 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 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 10. Demonstrate the ability to solve the following proportion problems:
- 10.1 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?
- 10.2 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?
- 10.3 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 11. Demonstrate the ability to solve problem situations involving equations:
- 11.1 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?
- 11.2 b. What is the root of the equation 7x - 2 = -4x + 5?
- 11.3 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?

- 12 References

Earning this honor meets a requirement for:

## 1. Have the Math Skills II honor.

This Wiki has a page with instructions and tips for earning the Math Skills II honor.

## 2. Solve the following operations using the traditional algorithm:

### a. 641 + 135

### b. 845 - 124

### c. 34 x 125

### d. 856 ÷ 24

## 3. Identify and classify the numerical sets.

## 4. Demonstrate the ability to solve the following equations:

### 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)

### 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?

## References

Categories:

- Has insignia image
- Adventist Youth Honors Answer Book/Honors
- Adventist Youth Honors Answer Book
- Adventist Youth Honors Answer Book/Skill Level 3
- Adventist Youth Honors Answer Book/Honors Introduced in 2012
- Adventist Youth Honors Answer Book/South American Division
- Adventist Youth Honors Answer Book/Health and Science
- Adventist Youth Honors Answer Book/Health and Science/Primary
- Adventist Youth Honors Answer Book/Stage 0
- Adventist Youth Honors Answer Book/Prerequisite/Math Skills II