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?

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?

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

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

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?

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

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

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?

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?

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?

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

Number problems at primary level that require careful consideration.

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?

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?

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?

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. . . .

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

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

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

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

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

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

Matching Numbers game for an adult and child. Can you remember where the cards are so you can choose two which match?

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?

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

Can you complete this jigsaw of the multiplication square?

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

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

Number problems for inquiring primary learners.

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

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

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

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

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

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

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

These interactive dominoes can be dragged around the screen.

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

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?

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

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?

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?

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

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

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.

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

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.