Raised to the 100th
Use patterns to determine the units digit for numbers raised to the 100th power.
Author Archive for: corrill
Entries by InterMath
Squares and Differences
Determine the relationship of the squares of three consecutive integers.
Hypatia’s Triumph
Take on the Egyptian Hypatia’s challenge about sums of squares.
Difference of Squares
Find positive integers which can be written as sum or difference of squares.
Choosing an Elevator
Based on certain criteria, determine which of two elevators reaches the lobby first.
Almost a Square
A square with sides of integral length (i.e., the side lengths are integers) could be made with 25 square units. Make a rectangle with sides of integral length and an area of 24 square units, but construct the rectangle so it comes as close as possible to being a square. What are the dimensions of […]
Minimizing Products
Find two positive integers with a given sum and who have the smallest product.
Planning Cruises
Determine three different length cruises that will leave on the same day.
Arranging Toothpicks
What is the total number of toothpicks used to build a rectangular grid?
36 Divisibility
Explore some numbers divisible by 36.