## Mathematical activities involving palindromic numbers.

### Palindromes

A palindrome is a word, phrase, number or expression that reads the same backward as forward, e.g. Level, "Never odd or even", 12321 or
x + 22 = 22 + x

Here are some activities with a palindromic connection:

4 — 2 — 24
5 — 2 — 25
6 — 2 — 26
7 — 2 — 27
8 — 2 — 28
9 — 2 — 29
03 — 02 — 2030

### Palindromic Products

Use long multiplication and pattern spotting to fill in the table with palindromic products.

### Sum of 3 Palindromes

Every whole number can be expressed as the sum of three palindromes.

### Palindrome Investigation

How many steps does each number take to become palandromic?

### Christmas Eve

How many palindromic numbers there are less than each power of 10.

### Odeometer Speed

Calculate the speed of the car from the palindromic odeometer readings.

### Wrong Way Round

Find calculations which written back to front give the same answer.

### Palindronic Primes

#### ↔

What is the smallest palindromic prime number that is greater than 100?

### Palindromic Squares

#### ↔

What is the largest palindromic square number that is less than 1000?

### Palindromic Cubes

#### ↔

What is the smallest palindromic cube number that is greater than 1000?

### Roman Numerals

#### ↔

What is the largest prime number that is palandromic when written in Roman numerals?

### Binary Palindromes

#### ↔

Palindromic numbers are relatively rare in most number systems, but they appear more frequently in binary.

### Even Digits

#### ↔

What is the only palindromic prime number that has an even number of digits?

Friday, February 3, 2023

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

The solutions to the questions asked on this page and other Transum puzzles, exercises and activities are available when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

For Students:

For Teachers:

For All: