# From Introduction to Deeper Understanding

These tasks are connected by their curriculum content and would be best tackled in the order listed. They all offer opportunities to explore and describe number patterns using knowledge of factors and multiples, at increasingly sophisticated levels. In particular, the tasks will help learners become familiar with recognising and describing a 'shifted' times table, such as 'one more than a multiple of three'.

As a set, these problems will give you the chance to focus on all five strands of the rope model: understanding, skills, reasoning, problem solving and attitude.

### Lots of Lollies

##### Age 5 to 7 Challenge Level:

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

### Times Tables Shifts

##### Age 7 to 11 Challenge Level:

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

### Satisfying Four Statements

##### Age 7 to 11 Challenge Level:

Can you find any two-digit numbers that satisfy all of these statements?

### Statement Snaplive

##### Age 7 to 14 Challenge Level:

You'll need to know your number properties to win a game of Statement Snap...

### Charlie's Delightful Machine

##### Age 11 to 16 Challenge Level:

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?