Working systematically

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?

Four friends must cross a bridge. How can they all cross it in just 17 minutes?

Which of these games would you play to give yourself the best possible chance of winning a prize?

Here are two games you can play. Which offers the better chance of winning?

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

A visualisation problem in which you search for vectors which sum to zero from a jumble of arrows. Will your eyes be quicker than algebra?

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?

Can you find the hidden factors which multiply together to produce each quadratic expression?

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