Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

Investigate what happens when you add house numbers along a street in different ways.

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

Number problems at primary level that require careful consideration.

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

Can you find different ways of creating paths using these paving slabs?

Use the numbers and symbols to make this number sentence correct. How many different ways can you find?

Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?

Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?

Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?

Use these head, body and leg pieces to make Robot Monsters which are different heights.

Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?

There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?

Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

Can you each work out the number on your card? What do you notice? How could you sort the cards?

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

How can you arrange these 10 matches in four piles so that when you move one match from three of the piles into the fourth, you end up with the same arrangement?

How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?

Number problems for inquiring primary learners.

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

Don't get rid of your old calendars! You can get a lot more mathematical mileage out of them before they are thrown away. These activities, using cut up dates from the calendar, provide numbers to. . . .

There are six numbers written in five different scripts. Can you sort out which is which?

How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?

Use the number weights to find different ways of balancing the equaliser.

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

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

Some children have been doing different tasks. Can you see who was the winner?

Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of 3 dominoes?

Can you hang weights in the right place to make the equaliser balance?

Look at the changes in results on some of the athletics track events at the Olympic Games in 1908 and 1948. Compare the results for 2012.

Once a basic number sense has developed for numbers up to ten, a strong 'sense of ten' needs to be developed as a foundation for both place value and mental calculations.

Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

These interactive dominoes can be dragged around the screen.

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

Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?

Use the fraction wall to compare the size of these fractions - you'll be amazed how it helps!

Find the exact difference between the largest ball and the smallest ball on the Hepta Tree and then use this to work out the MAGIC NUMBER!

Dicey Operations for an adult and child. Can you get close to 1000 than your partner?

Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?

Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers.