Year 10 Working systematically

It would be nice to have a strategy for disentangling any tangled ropes...

How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

How can we make sense of national and global statistics involving very large numbers?

Is it possible to find the angles in this rather special isosceles triangle?

Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?

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?

Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?

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.

Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?

Can you work out the fraction of the original triangle that is covered by the inner triangle?

If the hypotenuse (base) length is 100cm and if an extra line splits the base into 36cm and 64cm parts, what were the side lengths for the original right-angled triangle?

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

Can you match up these equivalent algebraic expressions?

Can you create a Latin Square from multiples of a six digit number?

Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?