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?

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?

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?

Number problems at primary level that require careful consideration.

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

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?

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

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

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

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

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?

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?

Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?

Can you complete this jigsaw of the multiplication square?

In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.

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

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

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

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?

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

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

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?

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

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

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 games devised by Jenni Way use dot cards which will help children see the structure of numbers 1-6 and give them confidence as they begin to add and subtract these numbers.

Number problems for inquiring primary learners.

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

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

This article for pupils explores what makes numbers special or lucky, and looks at the numbers that are all around us every day.

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

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

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?

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?

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.

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

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

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?

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

These interactive dominoes can be dragged around the screen.

More activities which will help you get a better of sense of numbers and understand what we mean by place value.