Are these statements always true, sometimes true or never true?
Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?
One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
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.
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.
Can you make square numbers by adding two prime numbers together?
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?
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?
Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
