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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the midpoint of points (2, 4) and (4, 8)?
💡 Hint: Use the midpoint formula: ((x1+x2)/2, (y1+y2)/2).
Question 2
Easy
Choose any three integers from 1 to 8 and see if you can find at least one pair whose sum equals 9.
💡 Hint: Look for combinations that add up 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 does the pigeonhole principle state?
- More items than containers lead to duplicates
- All items can fit uniquely
- Items can be distributed evenly
💡 Hint: Think about objects in boxes.
Question 2
True or False: If two points have even coordinates, their midpoint will also have even coordinates.
- True
- False
💡 Hint: Calculate to check the conclusion.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using the pigeonhole principle, prove that if there are 10 students in a class with 4 different hair colors, there is at least one color shared by at least three students.
💡 Hint: Think about distributing more items across fewer categories.
Question 2
Show that among any ten integers selected from 1 to 20, there must be a pair whose sum is 21.
💡 Hint: Count and see which pairs complete the set.
Challenge and get performance evaluation