Year 3 Conjecturing and Generalising

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Have a look at this table of how children travel to school. How does it compare with children in your class?

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

Class 5 were looking at the first letter of each of their names. They created different charts to show this information. Can you work out which member of the class was away on that day?

Take a look at these data collected by children in 1986 as part of the Domesday Project. What do they tell you? What do you think about the way they are presented?

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?