2 out of 3
Play around with the Fibonacci sequence and discover some surprising results!
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
Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
2 out of 3
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
2 out of 3
The sums of the squares of three related numbers is also a perfect square - can you explain why?
