If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
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?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Watch this animation. What do you see? Can you explain why this happens?
The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?
Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
What do you see as you watch this video? Can you create a similar video for the number 12?
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?
Follow the clues to find the mystery number.
Start with a triangle. Can you cut it up to make a rectangle?
Explore ways of colouring this set of triangles. Can you make symmetrical patterns?
These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
These clocks have only one hand, but can you work out what time they are showing from the information?
Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
Try out some calculations. Are you surprised by the results?
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?