Year 3 Conjecturing and generalising

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

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?

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

This task requires learners to explain and help others, asking and answering questions.

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

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

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

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

There are six numbers written in five different scripts. Can you sort out which is which?

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.

Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

Take three consecutive numbers and add them together. What do you notice?

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?