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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# More Low Threshold High Ceiling Tasks

### Unexpected Ordering

### Eightness of Eight

### Next-door Numbers

### Ring a Ring of Numbers

### Digit Addition

### Strike it Out

### Dotty Six

### Seeing Squares

### School Fair Necklaces

### Magic Vs

### Number Differences

### Surprising Split

### Subtraction Surprise

### Consecutive Numbers

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Age 5 to 7

Challenge Level

Watch the video of Fran re-ordering these number cards. What do you notice? Try it for yourself. What happens?

Age 5 to 7

Challenge Level

What do you see as you watch this video? Can you create a similar video for the number 12?

Age 5 to 7

Challenge Level

Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?

Age 5 to 7

Challenge Level

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Age 5 to 11

Challenge Level

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

Age 5 to 11

Challenge Level

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

Age 5 to 11

Challenge Level

Dotty Six is a simple dice game that you can adapt in many ways.

Age 5 to 11

Challenge Level

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.

Age 5 to 11

Challenge Level

How many possible symmetrical necklaces can you find? How do you know you've found them all?

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

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?

Age 7 to 11

Challenge Level

Does this 'trick' for calculating multiples of 11 always work? Why or why not?

Age 7 to 14

Challenge Level

Try out some calculations. Are you surprised by the results?

Age 7 to 14

Challenge Level

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