Lesson Plans SET A for Grades 9-10-Lesson 1 Level 9-10 Problem Solving Strategies

Lesson 1 Level 9-10 Problem Solving Strategies - HW

Pdf Summary

The document provides a set of math problems intended for practice in problem-solving strategies, focusing on Level 9-10 Math Kangaroo concepts. Here's a summary of the problems and solutions:<br /><br />1. **Necklace Beads Problem:**<br />   Mary has 27 beads, with two colors: red and white. The problem states that no matter the arrangement, there will always be two beads of the same color separated by two other beads.<br /><br />2. **Remainder Question:**<br />   The task is to find the remainder when 52024 is divided by 7. The provided answer is 4.<br /><br />3. **Largest Divisor Problem:**<br />   Determine the largest divisor of the product of four consecutive positive integers. The possible answers are (A) 3, (B) 4, (C) 5, (D) 15, and (E) 24. The correct answer is 24.<br /><br />4. **Running Competition Problem:**<br />   A rabbit and a squirrel race, where the rabbit initially runs perpendicular to the finish line before adjusting his run. The rabbit runs at 10 meters per second and reaches the target 15 seconds after the race starts, 2 seconds after the squirrel finishes. The squirrel's speed needs to be found, and it is 7.5 meters per second as per the solution.<br /><br />5. **Triangles on Grid Problem:**<br />   The problem asks for the number of right isosceles triangles that can be formed in a given grid with specific vertices. The answer is given as 80.<br /><br />These problems are designed to test various mathematical skills, including combinatorics, modular arithmetic, algebraic problem-solving, and geometry. Students are encouraged to refer to class notes and materials for further understanding and review.

Keywords

Math Kangaroo

problem-solving

combinatorics

modular arithmetic

algebra

geometry

Level 9-10

practice problems

math skills

solutions