Year 2 Conjecturing and generalising

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Create a pattern on the small grid. How could you extend your pattern on the larger grid?

This activity focuses on rounding to the nearest 10.

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

Are these statements relating to odd and even numbers always true, sometimes true or never true?

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

Here is a selection of different shapes. Can you work out which ones are triangles, and why?

Try out this number trick. What happens with different starting numbers? What do you notice?

Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

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

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?

This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

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?

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

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

Here are shadows of some 3D shapes. What shapes could have made them?

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?

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?