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?

Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

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?

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

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

Can you find 2 butterflies to go on each flower so that the numbers on each pair of butterflies adds to the same number as the one on the flower?

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

Use these four dominoes to make a square that has the same number of dots on each side.

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?

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

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?

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

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

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

The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?

This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?

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?

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?

Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

Number problems at primary level that require careful consideration.

Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).

Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

Find all the numbers that can be made by adding the dots on two dice.

Fill in the numbers to make the sum of each row, column and diagonal equal to 15.

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

Amy has a box containing domino pieces but she does not think it is a complete set. She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her domino pieces are missing?

Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?

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

Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?

Sam got into an elevator. He went down five floors, up six floors, down seven floors, then got out on the second floor. On what floor did he get on?

Leah and Tom each have a number line. Can you work out where their counters will land? What are the secret jumps they make with their counters?

There were 22 legs creeping across the web. How many flies? How many spiders?

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?

Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

Using 3 rods of integer lengths, none longer than 10 units and not using any rod more than once, you can measure all the lengths in whole units from 1 to 10 units. How many ways can you do this?

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

A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.

How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

A game for 2 players. Practises subtraction or other maths operations knowledge.

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