During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?

Investigate the different distances of these car journeys and find out how long they take.

A lady has a steel rod and a wooden pole and she knows the length of each. How can she measure out an 8 unit piece of pole?

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

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

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

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

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?

Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?

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?

Use the information about Sally and her brother to find out how many children there are in the Brown family.

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

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

If you have only four weights, where could you place them in order to balance this equaliser?

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?

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?

Here is a chance to play a version of the classic Countdown Game.

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

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

Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!

A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!

A game for 2 or more players with a pack of cards. Practise your skills of addition, subtraction, multiplication and division to hit the target score.

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

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

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?

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?

Where can you draw a line on a clock face so that the numbers on both sides have the same total?

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

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.

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.

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

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

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.

Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!

On Planet Plex, there are only 6 hours in the day. Can you answer these questions about how Arog the Alien spends his day?

If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?

Shut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?

Strike it Out game for an adult and child. Can you stop your partner from being able to go?

Got It game for an adult and child. How can you play so that you know you will always win?

Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

In this game for two players, the aim is to make a row of four coins which total one dollar.

The picture shows a lighthouse and many underwater creatures. If you know the markings on the lighthouse are 1m apart, can you work out the distances between some of the different creatures?

This article for teachers suggests ideas for activities built around 10 and 2010.

Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?