Square numbers
-
problemFind another number that is one short of a square number and when you double it and add 1, the result is also a square number. -
problemAugustus' Age
In 1871 a mathematician called Augustus De Morgan died. De Morgan made a puzzling statement about his age. Can you discover which year De Morgan was born in? -
problemFavouriteFractions in a Box
The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.
-
problemFavouriteOne Wasn't Square
Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.
-
problemFavouriteTwo Primes Make One Square
Can you make square numbers by adding two prime numbers together?
-
problemFavouriteCycling Squares
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
-
problemA Square Deal
Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65. -
problemPicture a Pyramid
Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?
-
problemFavouriteLight the Lights Again
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?
-
problemSeven Square Numbers
Add the sum of the squares of four numbers between 10 and 20 to the sum of the squares of three numbers less than 6 to make the square of another, larger, number.