Lesson Plans SET B for Grades 7-8-Intro-B Level 7-8 Overview. Homework

Intro-B Level 7-8 Overview. Homework

Pdf Summary

The homework problems from the Level 7-8 Set B of the Math Kangaroo Overview class are designed to test various mathematical concepts and problem-solving skills. Here's a summary of each problem along with their solutions:<br /><br />1. **Digit Manipulation:** You have a four-digit number where the ones digit is 4. Moving this digit to the start of the number results in a number smaller by 432 than the original. The task is to find the sum of the digits of the original number. The solution reveals that this sum is 19.<br /><br />2. **Speed Problem:** Petra travels from town A to town B at a constant speed. Increasing her speed by 4 m/s allows her to make the trip twice as fast. You must determine how much faster the trip is if her speed is increased by 6 m/s. The answer is she arrives 2.5 times as fast.<br /><br />3. **Triangle Angles:** Given angles 1 and 2 of triangle ABC are 18 degrees and 110 degrees respectively, you are to find the measures of three specific angles in the triangle. The solutions are 80 degrees, 82 degrees, and 18 degrees.<br /><br />4. **Geometric Shapes:** A rectangular solid with dimensions 6 cm by 9 cm by 12 cm is cut into the smallest possible number of identical cubes. The question asks for this minimal number, which is 24 cubes (with each cube having dimensions 3 cm by 3 cm by 3 cm).<br /><br />5. **Handshake Problem:** Bill and Jill meet two other twin pairs at the park. Each individual states a different number of handshakes, excluding handshakes with their own twin. Bill needs to determine how many hands he shook. The answer is 2 handshakes.<br /><br />These problems involve a mix of arithmetic calculations, logical reasoning, and spatial understanding, characteristic of Math Kangaroo contest problems.

Keywords

Math Kangaroo

Level 7-8

digit manipulation

speed problem

triangle angles

geometric shapes

handshake problem

problem-solving skills

mathematical concepts

arithmetic calculations