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# Starting the Year with Rich Tasks

### Consecutive Seven

### Add to 200

### More Less Is More

### Route to Infinity

### Square It

### Take Three from Five

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During the summer, we published a collection of summer challenges, which we hope your students enjoyed. Below we have selected a few of the tasks that we think are particularly suitable for the start of term, when you are getting to know your learners. They offer the chance to do some exploratory collaborative work at a range of levels.

The tasks feature in our Secondary curriculum mapping document, which contains links to a variety of problems for teachers wishing to embed rich mathematical tasks into their everyday teaching.

Age 11 to 14

Challenge Level

Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

Age 11 to 14

Challenge Level

By selecting digits for an addition grid, what targets can you make?

Age 7 to 14

Challenge Level

In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.

Age 11 to 14

Challenge Level

Can you describe this route to infinity? Where will the arrows take you next?

Age 11 to 16

Challenge Level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Age 11 to 16

Challenge Level

Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?