Lesson Plans SET A for Grades 3-4-Homework Level 3-4 lesson 8

Homework Level 3-4 lesson 8 - Work Backwards

Pdf Summary

This document is a math homework assignment for the Math Kangaroo Class Level 3-4, focusing on problems that require working backwards to find the solutions. Here’s a summary of the problems and their solutions:<br /><br />1. **Directions Problem:** The student is challenged to trace a path by going 4 blocks north, 2 blocks west, 5 blocks south, and 6 blocks east. They need to calculate the starting location based on the final destination. The solution shows that the home’s initial location is at coordinates (3, 3).<br /><br />2. **Candy Division Problem:** The problem involves determining the initial number of candies in a bowl after a sequence of people taking different amounts. Sally takes half of the candies, Tom takes half of what remains, Clara takes 3, and 4 remain. By working backwards, the initial number of candies is deduced to be 28.<br /><br />3. **Carrot Consumption Problem:** This problem involves calculating the starting day for eating carrots given the sequential consumption rate. Peta Rabbit eats 3 carrots a day and finishes the 15th carrot on Thursday. By tracing back the days, it is determined that the eating began on Sunday.<br /><br />4. **Ice Cream Money Problem:** Students are asked to find the initial amount of money in a drawer before ice cream cone sales alter the total. It is given that after selling 5 cones, there are $60, and after 15 cones, $100. Backtracking from these transactions, the starting amount is found to be $40.<br /><br />5. **Two-Digit Number Problem:** This requires solving for a single-digit number used to form a two-digit number which, when 17 is added, results in 62. By working backwards, the first number written is determined to be 5.<br /><br />Each question involves logical reasoning and working backwards from given results to solve the mystery of the initial conditions or values.

Keywords

Math Kangaroo

Level 3-4

working backwards

directions problem

candy division

carrot consumption

ice cream money

two-digit number

logical reasoning

homework assignment