 The Crane and Tortoise Problem | Given the total number of cranes and turtles and the total number of their legs, find the number of each. |
| Surplus and Deficit Calculation | I went chestnut picking with some friends. Based on the conditions for distributing the chestnuts, how many people went and how many chestnuts did they pick? |
| Work Calculation (How Many People Are Needed?) | Determine how many people are needed to complete a given amount of work within a specified number of days. |
| Work Calculation (How Many Days Will It Take?) | Calculate the number of days required to complete a given amount of work with a specified number of people. |
| Work Problems (Group Activity) | If Team A does the work, it takes a days to finish; if Team B does it, it takes b days. If both teams work together, how many days will it take to finish? |
| Tree Planting Problem | What is the ideal spacing in meters for planting trees evenly between buildings? |
| Age Calculation (Finding the Number of Years) | We use the fact that the age difference remains constant over time to calculate the number of years or the ages. |
| Age Calculation (Finding a Person's Age) | We use the fact that the age difference remains constant over time to calculate the age. |
| Concentration Calculation (Mixing) | Calculate the concentration of the new saltwater solution formed by mixing two saltwater solutions of different concentrations. |
| Concentration Calculation (Dilution) | Calculate the amount of fresh water needed to create a new saltwater solution by adding fresh water to the existing one. |
| Concentration Calculation (Increasing Concentration) | Calculate the amount of salt needed to create a new concentration of saltwater by adding salt to the existing solution. |
| Flow-through calculation | Calculate the boat’s speed and the time required to travel downstream based on information about traveling upstream in a river with a current. |
| The Traveler's Problem (Time of Meeting) | When Person A and Person B are each approaching, calculate the time until they meet. |
| Travelers' Problem (Time to Catch Up) | After A starts running, B chases after A. Find the time it takes for B to catch up to A. |
| Addition and subtraction | Find each number based on the sum and difference of two numbers. |
| The hour (the time when the hour and minute hands overlap) | Find the time when the hour hand and minute hand overlap.
Example: What time do the hour hand and minute hand overlap between 1:00 and 2:00? |
Word problems in math