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Lesson Plans SET A for Grades 7-8
Lesson 9 Level 7-8 Logic - Homework
Lesson 9 Level 7-8 Logic - Homework
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Pdf Summary
This set of logic problems is designed for Level 7-8 students, aligned with Math Kangaroo class concepts. Here’s a breakdown of each question with its solution:<br /><br />1. **Cryptarithm Puzzle**: The task is to find the six-digit number PQRSTU. The solution given is 142857. This puzzle usually involves finding a sequence that satisfies certain multiplication properties.<br /> <br />2. **Equation Puzzle (WE)² = WEE**: Students must determine the numerical value of WE that satisfies the cryptarithmic equation. The answer to this problem is 10, which would mean plugging WE = 10 into the expression WEE forms a valid equation.<br /><br />3. **Probability Problem with Balls**: Involves finding the minimum number of balls one needs to draw to get at least one ball of each of the four colors (red, yellow, green, white), without looking. The answer is 16, which ensures having one of each, regardless of order.<br /><br />4. **Logic Puzzle on Last Names**: This problem requires assigning the correct last names (Kan, Ga, Roo) to Vicky, Mark, and Lana, based on the given clues. The solution reveals Vicky Kan, Mark Roo, and Lana Ga as the correct pairings.<br /><br />5. **Detective Story - Who Ate the Last Slice of Pizza?**: This challenge involves interpreting statements from Albert, Ben, Christopher, Donald, and Emily, where each tells one truth and one lie. The solution identifies Christopher as the one who ate the last slice. The task here is to find inconsistencies in their statements and determine who fits the criteria of telling one truth and one lie.<br /><br />These exercises engage students in critical thinking, problem-solving, and logical reasoning, crucial skills in both mathematics and everyday situations.
Keywords
logic problems
Level 7-8
Math Kangaroo
cryptarithm puzzle
equation puzzle
probability problem
logic puzzle
detective story
critical thinking
problem-solving
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