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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the midpoint of the points (2, 4) and (6, 8)?
💡 Hint: Use the midpoint formula, averaging x and y coordinates.
Question 2
Easy
How many pairs of numbers from 1 to 8 can add to 9?
💡 Hint: List down numbers and see which pairs sum to 9.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the midpoint of (4, 6) and (8, 10)?
- (6
- 8)
- (12
- 16)
- (3
- 5)
💡 Hint: Use the formula M = ((x1 + x2) / 2, (y1 + y2) / 2).
Question 2
True or False: The Pigeonhole Principle states that if n items are put into m containers, with n > m, at least one container must be empty.
- True
- False
💡 Hint: Think about how items distribute into containers.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a set of 10 numbers all distinct, find a pair among them that sums to a given number using pigeonhole principle.
💡 Hint: What number pairs in your set could equal the desired sum?
Question 2
Demonstrate with an example how the pigeonhole principle guarantees an outcome involves at least one integer midpoint.
💡 Hint: Sum the coordinates and look for evenness.
Challenge and get performance evaluation