Year 4 Exploring and noticing

How will you complete these interactive Venn diagrams?

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

There are nasty versions of this dice game but we'll start with the nice ones...

Can you use the information to find out which cards I have used?

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Four strategy dice games to consolidate pupils' understanding of rounding.

How do you know whether you will reach these numbers when you count in steps of six from zero?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

Can you complete this jigsaw of the multiplication square?

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

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?

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

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

Can you place the blocks so that you see the reflection in the picture?

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?