Find the sum of all the integers between one and 100 which have 14 as the sum of their digits.

All my digits are non-zero perfect squares. If you treat my first two digits as a two-digit number, and treat my last two digits as a two-digit number, the sum of these two numbers is also a perfect square. If I am a three digit number, what numbers could I be?

How many two-digit numbers are there such that the digits match at least one of the following patterns:

1. The digits are both multiples of three.
2. Neither of the digits are multiples of two.
3. The digits add to 8.
4. The digits are perfect squares.

When Shrek asks Fiona for her telephone number, Fiona is a bit coy about it, and tells Shrek the following information:

• My telephone number has 10 digits.
• There are no repeated digits in my telephone number.
• The first three digits are in ascending order.
• The second three digits are in descending order.
• Both the last four digits and the last two digits are multiples of sixty.
• My last four digits are not a multiple of 43.
• My first three digits are the square of an integer less than twenty.
• The sum of the second three digits is 14.

What number should Shrek dial?

I'm a three digit number. My first two digits multiply to 12, and my last two digits add to 14. What number am I?

I am a three digit number, and the following things are true about me:

1. The product of two of my digits is 8.
2. The sum of my digits is 13.
3. My first digit is four times my second digit.

What number am I?

I’m a three digit number, and the sum of my digits is 13. My first two digits differ by 3, and my last two digits differ by 5. What numbers could I be?