
Pair products
Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
What do you notice about the sum of two identical triangular numbers?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?
My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?