1 out of 3
Which armies can be arranged in hollow square fighting formations?
2 out of 3
Two ladders are propped up against facing walls. At what height do the ladders cross?
2 out of 3
What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?
2 out of 3
Can you explain the surprising results Jo found when she calculated the difference between square numbers?
2 out of 3
Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?
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?
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
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
2 out of 3
An equilateral triangle rotates around regular polygons and produces an outline like a flower. What are the perimeters of the different flowers?
