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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Year 10 Being Collaborative

### Which Spinners?

### Circles in Quadrilaterals

### Track Design

### Nutrition and Cycling

### Steel Cables

### Picturing the World

### Box Plot Match

### Same Length

### Attractive Tablecloths

### Painted Cube

### Nicely Similar

### Surprising Transformations

### A Chance to Win?

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Age 14 to 18

Challenge Level

Can you work out which spinners were used to generate the frequency charts?

Age 14 to 16

Challenge Level

Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.

Age 14 to 16

Challenge Level

Where should runners start the 200m race so that they have all run the same distance by the finish?

Age 14 to 16

Challenge Level

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

Age 14 to 16

Challenge Level

Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?

Age 14 to 16

Challenge Level

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

Age 14 to 16

Challenge Level

Match the cumulative frequency curves with their corresponding box plots.

Age 11 to 16

Challenge Level

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

Age 14 to 16

Challenge Level

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

Age 14 to 16

Challenge Level

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?

Age 14 to 16

Challenge Level

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?

Age 14 to 16

Challenge Level

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?

Age 11 to 14

Challenge Level

Imagine you were given the chance to win some money... and imagine you had nothing to lose...