2 out of 3
1 out of 3
Find the largest integer which divides every member of the following sequence: 1^5-1, 2^5-2, 3^5-3, ... n^5-n.
1 out of 3
In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?
1 out of 3
Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
1 out of 3
Can you find the hidden factors which multiply together to produce each quadratic expression?
1 out of 3
Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
1 out of 3
Which armies can be arranged in hollow square fighting formations?
1 out of 3
Surprising numerical patterns can be explained using algebra and diagrams...
2 out of 3
Can you explain the surprising results Jo found when she calculated the difference between square numbers?
2 out of 3
A mother wants to share some money by giving each child in turn a lump sum plus a fraction of the remainder. How can she do this to share the money out equally?
