Lesson Plans SET A for Grades 7-8-Lesson 4 Level 7-8 Percent-HW

Lesson 4 Level 7-8 Percent-HW

Pdf Summary

The document provides a set of math problems related to percentages, intended to help students practice concepts from a Math Kangaroo class. Each problem is accompanied by a solution provided at the end. Below is a summary of each problem and its solution:<br /><br />1. **Tent Purchase Problem:** Mark, Matthew, and Peter were saving for a tent. Mark was to pay 50% of the total, with Matthew paying 20% of the remaining amount. Initially, Peter was to pay the rest, but he withdrew, leaving Mark and Matthew to cover his share. Mark ends up paying $84. The problem asks for the total cost of the tent, which is calculated to be $120.<br /><br />2. **Dart Game Scoring Rate:** Vicky hit the target 60% of the time in her first 15 dart throws. After an additional 10 throws, her overall success rate dropped to 40%. The problem asks how many successful hits she made in the last 10 throws. She scored on 1 of these throws.<br /><br />3. **Grapes to Raisins Water Content:** Grapes are 80% water and raisins 15% water. The problem asks how many kilograms of grapes are needed to produce 1 kg of raisins. It's determined that 4.25 kg of grapes are required.<br /><br />4. **Alcohol Solution Mixing:** Lee mixes 1 liter of 40% alcohol with 0.5 liters of 60% alcohol. To achieve 2 liters of 55% alcohol solution, the problem determines Lee needs to add 0.5 liters of an 80% alcohol solution.<br /><br />5. **Average and Percentage Comparison:** The average of two positive numbers is 20% less than one of them. The problem asks by what percentage twice the other number is greater than the average. The result is 50%.<br /><br />These exercises challenge students to apply their understanding of percentages and proportional reasoning in various real-world scenarios.

Keywords

math problems

percentages

Math Kangaroo

tent purchase

dart game

grapes to raisins

alcohol solution

average comparison

proportional reasoning

student exercises