Fun math puzzles
I try my best to provide you with fun math puzzles. Fun does not necessarily means easy.
As a math major, anything that becomes challenging is fun for me. You may feel the same way if math is your thing
I cannot guarantee all the puzzles will be fun, but I can guarantee that some of the puzzles will be very challenging.
Even though the skills that you need is basic math, some of these puzzles will require some reflection before you figure them out.
Try to do the puzzles yourself before looking at the solution at the end of the page
The puzzles on this page are warm ups. More complicated puzzles will be added on a regular basis
Let's get started with some fun math puzzles!
Puzzle #1:
Use four 5s and some of the symbols +, ×, −, and ÷ to give expressions for 0, 1, 2, and 5
Puzzle #2:
Use the two isosceles triangles below to make a star?
Puzzle #3:
It takes 1629 digits to number the pages of a book. How many pages does the book have?
Puzzle #4:
Use only 4 straight lines to cut a pizza into 11 pieces?
Puzzle #5:
would you rather work for 30 days and get paid 5 millions dollars, or be paid 1 cent the first day, 2 cents the second day, 4 cents the third day, and so on...?
Puzzle #6:
Place 10 dishes along the 4 edges of a table so that each edge has the same amount of dishes
Puzzle #7:
In a family with 4 siblings, John is older than Mary, Peter is younger than John, Mary is older than Peter, and
Sarah is older than John. Who is the second oldest in the family? Who is the youngest?
Puzzle #1 solution:
5 − 5 + 5 − 5 = 0
5 − 5 + 5 ÷5 = 1
5 ÷5 + 5 ÷5 = 1 + 1 = 2
5 × (5 − 5) + 5 = 5
Puzzle #2 solution:
Puzzle #3:
From page #1 to page # 9, there are 9 pages
From page #10 to page # 99, there are 90 pages. However, since each page number has 2 digits, there are 180 digits from page # 10 to page # 99
From page #100 to page # 999, there are 900 pages. However, since each page number has 3 digits, there are 2700 digits from page # 100 to page # 999
Since there are 1629 digits, we know so far that number of pages is less than 900
Now, we need to find out how many digits there are for those pages greater than 99 or those pages with 3 digits
Since there are 189 digits for pages with less than 3 digits, we can subtract 189 from 1629 digits to find the number of pages with 3 digits
1629 − 189 = 1440
1440 represents the pages with 3 digits, so number of pages with 3 digits = 1440/3 = 480
Thus, total number of pages = 480 + 90 + 9 = 579 pages
Puzzle #4 solution:
Puzzle #5:
The trick is to find out how much money you make in 30 days if you get 1 cent the first day, 2 cents the second day, 4 cents the third day, and so on...
Day 1: 1 cents
Day 2: 2 cents
Day 3: 4 cents
Day 4: 8 cents
Day 5: 16 cents
Day 6: 32 cents
Day 7: 64 cents
Day 8: 128 cents
Day 9: 256 cents
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Keep mutliplying by 2
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Day 30: 536,870,912 cents
536,870,912 cents/100 = 5,368,709.12 dollars and 5,368,709.12 is bigger than 5,000,000
Therefore, you are better off taking 1 cent the first day, 2 cents the second day, 4 cents the third day, and so on... until the 30th day
Puzzle #6:
If the blue rectangle represents the table and the red circles represent dishes, here is the solution
Are you not tired yet with these fun math puzzles? Read on...
Puzzle #7:
In a family with 4 siblings, John is older than Mary, Peter is younger than John, Mary is older than Peter, and
Sarah is older than John. Who is the second oldest in the family? Who is the youngest?
This puzzle. You solve it! Yes, the first person who solves this fun math puzzle with a detailed solution, will have his solution posted on this
page with his name in parenthesis. As an added bonus, you can get my
fractions ebook plus all bonuses with a donation of your choice
All other persons who solve this puzzle will not have their names listed, but they can get my fractions ebook and the bonuses with a donation of at least 10 dollars instead of paying the regular price of 29 dollars!
Here is the process to follow:
Send the solution using the form
here
If you have the correct solution, I will contact you with further instructions.
If you love these fun math puzzles, stay tune. This page will be updated with fun math puzzles on a regular basis!
Check out these other fun math puzzles.
Checkerboard puzzle
How many squares are there in a 8 × 8 checkerboard? This puzzle will really challenge your visual/spatial intelligence. Rated mature only. Just kidding!
Triangular numbers
This one will teach you about triangular numbers and how to derive the formula to get the nth triangular numbers
Palindromes
This lesson will teach you how to find palindromes with a simple algorithm
Number of segments between points
This lesson will teach you how to count the number of segments between n points
Cryptarithms
This lesson will teach you how to solve cryptarithms