Being resilient

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?