Working with Patterns

Lots of Lollies

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

Ring a Ring of Numbers

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Caterpillars

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

I Like ...

Stage: 1 Challenge Level: Challenge Level:1

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

Our Numbers

Stage: 1 Challenge Level: Challenge Level:1

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

Light the Lights

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

Sitting Round the Party Tables

Stage: 1 and 2 Challenge Level: Challenge Level:1

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Count the Digits

Stage: 1 and 2 Challenge Level: Challenge Level:1

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

Poly Plug Pattern

Stage: 1 Challenge Level: Challenge Level:1

Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?

The Animals' Sports Day

Stage: 1 Challenge Level: Challenge Level:1

One day five small animals in my garden were going to have a sports day. They decided to have a swimming race, a running race, a high jump and a long jump.

What's in a Name?

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

Walking Round a Triangle

Stage: 1 Challenge Level: Challenge Level:1

This ladybird is taking a walk round a triangle. Can you see how much he has turned when he gets back to where he started?

Domino Patterns

Stage: 1 Challenge Level: Challenge Level:1

What patterns can you make with a set of dominoes?