Year 3 Exploring and noticing

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

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

These clocks have been reflected in a mirror. What times do they say?

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

This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

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.

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?

This problem explores the range of events in a sports day and which ones are the most popular and attract the most entries.

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

Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.

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.

These clocks have only one hand, but can you work out what time they are showing from the information?

Have a look at the results for some events at past Olympic Games. Can you use these to predict the results at the next Olympics?

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

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

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?