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It seems you've uploaded a math exam paper titled *Concours Blanc A*. The document contains several exercises related to geometry, functions, algebra, and other mathematical topics. Here’s a summary of each exercise:

1. **Exercise 1**: 
   - Focuses on choosing between two pool models based on their surface area and water capacity. You need to determine if administrative steps are required, calculate if all four family members can swim together, check if the pool overflows during filling, calculate the rate of increase in drowning incidents, and finally, the cost of securing the pool with a fence.

2. **Exercise 2**: 
   - Deals with two affine functions \( f \) and \( g \). Tasks include determining values of the function \( g \), calculating and proving certain algebraic expressions, finding values for \( f \), and plotting graphs to compare both functions.

3. **Exercise 3**: 
   - Contains a set of geometry questions, including proving the Pythagorean theorem, checking if an object fits in a box, verifying the perpendicularity of a shelf, and proving a triangle is right-angled.

4. **Exercise 4**:
   - A multiple-choice section involving basic algebra and number theory, including simplifying fractions, scientific notation, and recognizing proportional relationships.

5. **Exercise 5**:
   - Includes questions on divisibility rules, properties of integers, and problem-solving involving numbers and their digit arrangements.

Would you like a detailed solution to one of these exercises? Here are some questions for further exploration:

1. How do you calculate the surface area of an octagon, and what factors affect the pool’s administrative requirements?
2. What is the process for finding the algebraic expression of a function based on a table of values?
3. Can you demonstrate how to prove the Pythagorean theorem using geometry?
4. How can you simplify algebraic expressions in scientific notation?
5. What are the properties of numbers divisible by specific factors like 200?

**Tip**: When solving multi-step problems, breaking them down into smaller parts and double-checking each step can help avoid errors.

The query submitted by the user regarding the math exam paper 'Concours Blanc A', which includes several exercises on topics such as geometry, functions, algebra, and problem-solving.

Explore detailed solutions for the math exam paper 'Concours Blanc A', covering essential topics such as geometry, affine functions, the Pythagorean theorem, and number theory. Suitable for students in Grades 9-12.

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