Lesson Plans SET B for Grades 7-8-Lesson 4 Level 7-8 Work Rate Ratio-HW

Lesson 4 Level 7-8 Work Rate Ratio-HW

Pdf Summary

This document is a set of math problems aimed at students at Level 7-8, focusing on work, rate, and ratio concepts. These problems are designed as practice for those who participate in Math Kangaroo classes, and students are encouraged to refer to their own notes or class materials if necessary. <br /><br />The set includes five problems:<br /><br />1. A ratio problem involving red and yellow marbles in a bag. The initial ratio is altered when some marbles are removed, and students must calculate the marbles remaining. <br /><br />2. A problem about tokens shared between three individuals (Abbie, Bryan, and Carl) before and after a game, requiring students to determine who won or lost based on the change in the ratio of tokens.<br /><br />3. A rate problem with two hoses filling tanks at different speeds. Students are asked to calculate the time required when both hoses work simultaneously to fill a number of tanks.<br /><br />4. A problem concerning average speed, where students need to determine the average speed of Lana as she walks partway to a destination at one speed and runs the rest at a faster speed.<br /><br />5. A problem involving two runners on a circular track moving at different speeds. Students must determine how far the second runner runs between their meetings.<br /><br />The answers provided for each question are as follows:<br />1. 65 marbles left in the bag.<br />2. Abbie won, Bryan's count remained unchanged, and Carl lost.<br />3. 15 minutes for both hoses to fill 10 tanks together.<br />4. Lana's average speed is 3.1 mph.<br />5. The second runner covers 2880 meters between meetings. <br /><br />These problems are designed to enhance understanding of ratios, rates, and speed calculations among students, allowing them to apply theoretical knowledge to practical situations.

Keywords

math problems

Level 7-8

work rate

ratio concepts

Math Kangaroo

practice problems

marbles ratio

tokens game

hoses filling tanks

average speed