Place value

Investigate the different ways these aliens count in this challenge. You could start by thinking about how each of them would write our number 7.

In this addition each letter stands for a different digit, with S standing for 3. What is the value of YxO?

Weekly Problem 48 - 2013
What is the remainder when the number 743589×301647 is divided by 5?

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

Each letter represents a different positive digit AHHAAH / JOKE = HA What are the values of each of the letters?

Given any 3 digit number you can use the given digits and name another number which is divisible by 37 (e.g. given 628 you say 628371 is divisible by 37 because you know that 6+3 = 2+7 = 8+1 = 9). The question asks you to explain the trick.

How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

A composite number is one that is neither prime nor 1. Show that 10201 is composite in any base.