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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, 3) and (4, 5)?
💡 Hint: Use the midpoint formula: average the x-coordinates and y-coordinates.
Question 2
Easy
How many distinct points can be selected from 1 to 5?
💡 Hint: Consider the numbers individually.
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 formula for calculating the midpoint between two points?
💡 Hint: Recall how to calculate averages.
Question 2
True or False: If you pick five integers from the set {1, 2, 3, 4, 5}, there must be at least one pair that sums to six.
- True
- False
💡 Hint: Consider the pairs available.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a proof showing that for any arbitrary set of six integers from the range of 1 to 15, there must be at least one pair summing to 16.
💡 Hint: Pair integers wisely and analyze sums.
Question 2
Using the midpoint formula, determine a set of five points that guarantees at least two points have integer midpoints, explaining your reasoning.
💡 Hint: Group the coordinates thoughtfully.
Challenge and get performance evaluation