You can weigh all integer masses from 1 to 60 with 6 weights putting the weights in one pan and the object in the other pan. Which weights are used?
What about weighing all integer masses from 1 to 1000?
What about from 1 to n?
What could this have to do with the […]
Suppose you had the never ending task of writing out all the natural numbers: 1, 2, 3, 4, 5…. and so on.
What would be the 1000th digit you would write down?
In what number would it occur?
What number would contain the millionth digit?
When would you have written six for […]
If you change the order of these digits you can get 24 different numbers, for example 2547, 2574, 2745, … Can you find all 24 different numbers made by using each of the digits 2, 4, 5, 7 just once?
How many of these numbers have 2 in the thousands place? How many have 2 […]
What do the digits in the number 15 add up to?
How many other numbers up to a thousand have digits with the same total if we only include numbers without zeros?
Click here for Solutions and Suggested Lesson Plans in the AIMSSEC Notes for Teachers.
This problem is adapted from the NRICH […]
(STEP 1) Choose any two numbers from the 7 times table. Add them together. What do you notice? Repeat with some other examples, always choosing pairs of numbers from the same times table. What do you notice? Does the same thing always happen? Why or why not?
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