Rotating a pencil twice about two different points gives surprising results...

Given three concentric circles, shade in the annulus formed by the smaller two. What percentage of the larger circle is now shaded?

How long will it take Inspector Remorse to crack this crime spree?

The information display on a train shows letters by illuminating dots in a rectangular array. What fraction of the dots in this array is illuminated?

A male punky fish has 9 stripes and a female punky fish has 8 stripes. I count 86 stripes on the fish in my tank. What is the ratio of male fish to female fish?

Malcolm and Nikki run at different speeds. They set off in opposite directions around a circular track. Where on the track will they meet?

A recipe for flapjacks calls for a certain quantity of butter, sugar and oats. Given the amount of these ingredients I have, how many flapjacks can I make?

John, Peter, Rudolf, Susie and Tony decide to set some questions for the Schools Mathematical Challenge. Can you work out how long in total they spend setting questions?

A car with 5 tyres (four road tyres and a spare) travelled 30,000 km. All 5 tyres were used equally. How many kilometres' wear did each tyre receive?

If this class contains between $45$% and $50$% girls, what is the smallest possible number of girls in the class?

These numbers have been written as percentages. Can you work out which has the greatest value?

Can you find a number that is half way between these two fractions?

Does Joseph have too many sheep in his flock...

Two fractions have been placed on a number line. Where should another fraction be placed?

When I place a triangle over a small square, or cover a larger square with the same triangle, a certain proportion of each is covered. What is the area of the triangle?

Find a simple way to compute this long fraction.

Andrea has just filled up a fraction of her car's petrol tank. How much petrol does she now have?

Pizza, Indian or Chinese takeaway. Each teenager from a class only likes two of these, but can you work which two?

Look at the times that Harry, Christine and Betty take to pack boxes when working in pairs, to find how fast Christine can pack boxes by herself.

Ivan, Tibor and Alex sat a test and achieved 85%, 90% and 95% respectively. Tibor scored just one more mark than Ivan. How many marks did Alex get?

Peter Piper picked a peck of pickled peppers. How many more pecks must Peter Piper pick to fill a barrel?