It is Sunday, January 1, 2006. What day of the week is January 1, 2010? Solve this difficult math problem to test your IQ level.
It is Sunday, January 1, 2006. What day of the week is January 1, 2010?
The day of the week January 1, 2010 is Friday. Let’s see how.
- Determine the number of years from 2006 to 2010: We are looking at the period from January 1, 2006 to January 1, 2010, which lasts 4 years:
- 2006, 2007, 2008 and 2009.
- Calculate the number of odd days in those 4 years:
- 2006: A normal year (365 days). 365 7 = 52 weeks and 1 extra day → 1 odd day.
- 2007: A normal year (365 days). 365 ÷ 7 = 52 weeks and 1 extra day → 1 odd day.
- 2008: Leap year (366 days). 366 7 = 52 weeks and 2 extra days → 2 odd days.
- 2009: A normal year (365 days). 365 ÷ 7 = 52 weeks and 1 extra day → 1 odd day.
- Add up the total number of odd days:
- 1 odd day (2006) + 1 odd day (2007) + 2 odd days (2008) + 1 odd day (2009) = 5 odd days.
- Calculate days of the week:
- Started on Sunday January 1, 2006.
- Add the total number of odd days (5) on Sunday:
- Sunday (0) + 5 odd days = Friday.
How to solve math problems?
1. Understand the problem
- Read the problem carefully: Make sure you fully understand what is being asked.
- Identify key information: Look for numbers, variables, and relationships between them.
- Identify the unknown: Figure out what you need to find or solve.
2. Make a plan
- Strategic decisions: Choose the approach that best fits the problem, such as:
- Algebra (for equations)
- Geometry (for shape, area, volume)
- Arithmetic (for basic calculations)
- Word problems (to apply math to real-life situations)
- Break down complex problems: If the problem seems complicated, break it down into smaller, more manageable parts.
3. Convert the problem into mathematical form
- For equations: Write any equation or expression that represents the situation.
- For word problems: Determine unknown variables, convert the problem into an equation or set of equations.
- For geometry problems: Draw a diagram to help visualize the problem.
4. Solve problems
- Follow the chosen method:
- Algebra: Solve equations step by step, isolating variables.
- Geometry: Use formulas to calculate area, volume, perimeter, etc
- Word problems: Apply correct calculations to the situation (addition, subtraction, multiplication, division).
- Simplify when necessary: Simplify expressions or solve equations.
5. Check your work
- Substitute your answer back: If possible, substitute your answer back to the original problem to verify that it satisfies all conditions.
- Review calculations: Double check for any mathematical errors.
6. Write the final answer
- State your solution: Include units if applicable (e.g. meters, dollars, etc.).
- Double-check: Make sure the answer makes sense and makes sense in the context of the problem.
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