A wide variety of fun math puzzles to help you improve your basic math skills at the same time. Having fun doesn’t necessarily mean easy. Having fun doesn’t necessarily mean easy. As a math major, I enjoy everything that is challenging. You can feel the same way if math is your thing.

I cannot guarantee that all of the puzzles will be fun, but I can guarantee that some of the puzzles will be very challenging.

Although the skills you will need are basic math, some of these puzzles require some thought before figuring out. Try to solve the puzzles yourself before looking at the solution at the bottom of the page.

The puzzles on this page are warm-up exercises. More complicated puzzles are added regularly. Let’s start with some fun math puzzles!

## Here is the solution to the fun math puzzles above

Puzzle # 1:

Use four 5’s and some of the symbols +, ×, -, and ÷ to give expressions for 0, 1, 2, and 5

Puzzle # 2:

Are you using 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 is the book?

Puzzle # 4:

Do you only use 4 straight lines to cut a pizza into 11 pieces?

Puzzle # 5:

Would you rather work 30 days and get \$ 5 million, or get 1 cent on the first day, 2 cents on the second day, 4 cents on the third day, and so on?

Puzzle # 6:

Place 10 bowls along the 4 edges of a table so that each edge holds the same amount of dishes

Puzzle # 7:

There’s an interesting two-digit number X. With a 9 in front of it, it’s three times as large plus 3 as with a 9 after it. What’s the number

Puzzle # 8:

In a family of 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

Solution for puzzle # 1:

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 the number of pages is less than 900

Now we need to find out how many digits there are for pages with more than 99 or for pages with 3 digits

Since there are 189 pages for pages with less than 3 digits, we can subtract 189 from 1629 digits to get the number of 3-digit pages

1629-189 = 1440

1440 represents the pages with 3 digits, i.e. the number of pages with 3 digits = 1440/3 = 480

So the total number of pages = 480 + 90 + 9 = 579 pages

Puzzle # 4 solution: Puzzle # 5:

The trick is to find out how much money you will make in 30 days if you get 1 cent on the first day, 2 cents on the second day, 4 cents on the third day, etc … Day 1: 1 cent

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 multiplying by 2

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Day 30: 536,870,912 cents

536,870,912 cents / 100 = \$ 5,368,709.12 and 5,368,709.12 is greater than 5,000,000

Therefore, it is better to take 1 cent on the first day, 2 cents on the second day, 4 cents on the third day, and so on up to the 30th day

Puzzle # 6:

If the blue rectangle represents the table and the red circles represent the dishes, here is the solution Aren’t you tired of these fun math puzzles yet? Continue reading…

Puzzle # 7:

First, let’s be clear what we mean by 9 before and 9 after.

For example, suppose AB is the two-digit number. The meaning of 9 before the two-digit number is 9AB and the meaning of 9 after AB9.

9AB can be written as B + 10A + 900

AB9 can be written as 9 + 10B + A × 100 = 9 + 10B + 100A

According to the problem, 9AB = 3AB9 + 3

Replace 9AB with B + 10A + 900 and AB9 with 9 + 10B + 100A

B + 10A + 900 = 3 (9 + 10B + 100A) + 3

B + 10A + 900 = 27 + 30B + 300A + 3

B + 10A + 900 = 30 + 30B + 300A

900 – 30 = 300A – 10A + 30B – B.

870 = 290A + 29B

Let A = 3, then 870 = 290 × 3 + 29B

870 = 870 + 29B

0 = 29B

B = 0

The number AB we are looking for is 30.

If we put a 9 before 30 we get 930 and if we put a 9 after 30 we get 309.

Notice that 930 = 3 × 309 + 3

Puzzle # 8:

In a family of 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!

If you love these fun math puzzles stay tuned. This page is regularly updated with fun math puzzles!

## Other fun math puzzles

Chess board puzzle
How many squares does an 8 × 8 chessboard contain? This puzzle will really challenge your visual / spatial intelligence. Classified as ripe only. Was just a joke!

Triangular numbers
In this article, you will learn about triangular numbers and how to derive the formula to get the nth triangular numbers

Palindromes
In this lesson you will learn how to find palindromes using a simple algorithm

Number of segments between points
In this lesson you will learn how to count the number of segments between n points

Cryptarithms
In this lesson you will learn how to solve cryptarithms