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These are the Transum resources related to the statement: "Pupils should be taught to multiply and divide numbers mentally drawing upon known facts".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Basic Division A self-marking exercise on dividing numbers of up to four digits by one or two-digit whole numbers using the formal written methods of short and long division
- Basic Multiplication A self-marking exercise on multiplication with increasing levels of difficulty.
- Beat The Clock It is a race against the clock to answer 30 mental arithmetic questions. There are nine levels to choose from.
- Divides Exactly Find which divisions result in whole number quotients. A mental arithmetic speed challenge.
- Division Video A reminder of how to divide one number into another using short or long division.
- Expedite Drag the numbered cards to produce a multiplication fact. Complete twenty mixed times tables questions to earn a trophy.
- Hard Times The hardest multiplication facts (according to Transum research) are presented in the form of pairs games.
- Just In Time Every 10 seconds a new calculation appears on the screen: A dynamic visual aid.
- Mental Strategies Practise your mental arithmetic skills and learn some new strategies with this self marking exercise.
- Multiplication Video A reminder of how to multiply two numbers using the column method or long multiplication.
- Quick Can you multiply a number by 1001 in your head? This exercise provides practice in this and other similar challenges.
- Quotientmaster A fast-paced activity to help you practise a Times Table by developing an ability to quickly recall quotients.
- TablesMaster How fast can you answer times table questions? This activity provides feedback to help you improve.
- Times Tables A collection of activities to help you learn your times tables in only 5 days.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

- Mental Methods Though using pencil and paper are as useful as having up-to-date technology skills, there is no substitute for strategic mental methods for working out calculations and solving problems. The activities in this topic are designed to improve pupils' abilities to use their brains. Calculating 'in your head' can be a difficult task. If you cannot remember what you have worked out or simply do not know how to solve a problem then it can be very challenging and frustrating. It is important to learn and practise mental arithmetic and using mathematical patterns, you can dramatically improve the speed and accuracy of your mental mathematics. See also the Arithmetic topic and our Number Skills Inventory.
- Tables Times Tables is the common term referring to the multiples of numbers 2 to 12 (or 2 to 10). Having a quick recall of these tables is an important pre-requisite for studying other aspects of mathematics and for coping with personal finance and other area of everyday live involving numbers. People of any age can improve their skills in recalling table facts. They should learn then as they would learn a song or a dance. You need to know your times tables forwards, backwards and all mixed up. Spend time learning them well and you'll reap the benefits in future. Here on this website we have developed many activities that help pupils learn their times tables and as then revise them in different ways so that the recall becomes easier and easier. Some of the activities are games and quizzes while others help pupils spot the patterns in the times tables in many different ways. Here's a plan for learning a new times table in only five days!

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.