NRICH (University of Cambridge)
The sums of the squares of three related numbers is also a perfect square – can you explain why?
NRICH (University of Cambridge)
Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
NRICH (University of Cambridge)
Can you explain the surprising results Jo found when she calculated the difference between square numbers?
NRICH (University of Cambridge)
A 2-Digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?
NRICH (University of Cambridge)
Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ….. + 149 + 151 + 153?
National Council of Teachers of Mathematics
What is the first time after midnight that the number you see (with the colon removed) is also a perfect square?