List

Starting the Year with Rich Tasks

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.

problem

Favourite

Consecutive Seven

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?

problem

Favourite

Add to 200

Age

11 to 14

Challenge level

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

problem

Favourite

Dozens

Age

7 to 14

Challenge level

Can you select the missing digit(s) to find the largest multiple?

problem

Favourite

More Less is More

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.

problem

Favourite

Route to infinity

Age

11 to 14

Challenge level

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

problem

Favourite

Square It

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.

problem

Favourite

Take Three From Five

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?

list

Secondary Summer Challenges 2023

Age

11 to 16

A challenge a day throughout the summer break.