Can you find triangles on a 9-point circle? Can you work out their angles?
Are these games fair? How can you tell?
Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
Can you find a way to identify times tables after they have been shifted up or down?
Can you work out which drink has the stronger flavour?
Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
Can you work out what step size to take to ensure you visit all the dots on the circle?
What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
How well can you estimate 10 seconds? Investigate with our timing tool.
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
Can you find the values at the vertices when you know the values on the edges?
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
How did the the rotation robot make these patterns?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
Can you find the hidden factors which multiply together to produce each quadratic expression?
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
Can you work out which spinners were used to generate the frequency charts?
