Practice Module No#08 (17.2) - Module No#08 - Discrete Mathematics

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the midpoint of the points (2, 3) and (4, 5)?
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Use the midpoint formula: average the x-coordinates and y-coordinates.
Question 2.
How many distinct points can be selected from 1 to 5?
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Consider the numbers individually.
3Question 3.
What is the formula for calculating the midpoint between two points?
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Recall how to calculate averages.
4Question 4.
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
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Consider the pairs available.
Question 5.
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.
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Pair integers wisely and analyze sums.
Question 6.
Using the midpoint formula, determine a set of five points that guarantees at least two points have integer midpoints, explaining your reasoning.
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Group the coordinates thoughtfully.

5 more questions in this section. Enroll free to practise them all.