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- Add whole numbers with more than 4 digits (review)
- Subtract whole numbers with more than 4 digits (review)
- Inverse operations (addition and subtraction) (review)
- Multi-step addition and subtraction problems (review)
- Add and subtract integers Multiply 4-digits by 1-digit (review)
- Multiply 2-digits (area model) (review)
- Multiply 2-digits by 2-digits (review)
- Multiply 3-digits by 2-digits (review)
- Multiply up to a 4-digit number by 2-digit number
- Divide 4-digits by 1-digit (review)
- Divide with remainders (review)
- Short division
- Division using factors
- Long division (1)
- Long division (2)
- Long division (3)
- Long division (4)
- Factors (review)
- Common factors
- Common multiples
- Primes to 100
- Squares and cubes
- Order of operations
- Mental calculations and estimation
- Reason from known facts

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Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.

- Addition Video A reminder of how to add two or more numbers using the column method.
- Arithmagons Find the missing numbers in these triangular, self-checking puzzles and discover the wonders of these fascinating structures.
- Basic Addition A self-marking exercise on addition with increasing levels of difficulty.
- 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.
- Basic Subtraction A self-marking exercise on subtraction 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.
- BIDMAS A self marking exercise testing the application of BIDMAS, an acronym describing the order of operations used when evaluating expressions.
- BIDMAS Game An online interactive game celebrating the order of mathematical operations.
- BIDMAS Video A reminder of the order of operations often referred to as BIDMAS, BODMAS or PEMDAS.
- Bidmaze Find your way through the maze encountering mathematical operations in the correct order to achieve the given total.
- Boxed In Numbers The classic dots and boxes game with the addition of some positive and negative numbers which determine your score.
- Broken Calculator Some of the buttons are missing from this calculator. Can you make the totals from 1 to 20?
- Cartoon Scatter Graph Place the cartoon characters on the scatter graph according to their height and age.
- Chain Challenge How fast can you perform all of the given operations without using a calculator?
- Clouds Can you work out which numbers are hidden behind the clouds in these calculations?
- Column Method for Multiplication Practise your multiplication skills with this exercise that already has the calculation set out for you.
- Correlation Arrange the given statements in groups to show the type of correlation they have.
- Cosmic Redshift Investigate the number found by performing an algorithm on a three digit number.
- Cracked Clock Quiz A self marking set of ten mathematical questions about a clock which cracked!
- Division Video A reminder of how to divide one number into another using short or long division.
- Eleven In Your Head Multiply numbers by eleven in your head.
- Equatero Find the expression from a series of guesses and clues.
- Estimating Estimation is a very important skill. Use this activity to practise and improve your skills.
- Estimating Angles Estimate the size of the given acute angles in degrees.
- Estimating Correlation Practise the skill of estimating the correlation of data on a scatter graph in this self marking exercise.
- Estimating Percentages Estimate the percentages represented by the diagrams.
- Estimation Golf Play a round of golf using your estimation skills rather than golf clubs.
- Formal Written Methods Examples of formal written methods for addition, subtraction, multiplication and division.
- Graph Paper Flexible graph paper which can be printed or projected onto a white board as an effective visual aid.
- Grid Arithmetic Fill in a multiplication grid with the answers to simple multiplication and division questions.
- Heptaphobia Research Use written methods to answer ten arithmetic questions. When you have finished you will find the results of this amazing research.
- Human Scatter Graphs Pupils move to positions in the room according to their data relative to the walls as axes.
- If Then What? Deduce multiplication and division results from a related calculation.
- Just In Time Every 10 seconds a new calculation appears on the screen: A dynamic visual aid.
- Long Division Practise long division with this exercise that already has the calculation set out for you.
- Make an expression Use the digits given to form an expression equivalent to the given total.
- Masad For each pair of numbers subtract the sum from the product then divide the result by 20 without a calculator.
- Mental Strategies Practise your mental arithmetic skills and learn some new strategies with this self marking exercise.
- Missing Operations Exercise Each box represents a missing operation (add, subtract, multiply or divide). What are they?
- Multi-step Problems Solve multi-step problems in contexts, deciding which operations and methods to use and why.
- Multiplication Video A reminder of how to multiply two numbers using the column method or long multiplication.
- Multitude Arrange the given digits to make three numbers such that the third is the product of the first and the second.
- Negative Magic Four partially completed magic squares containing negative numbers. Fill in the missing numbers.
- Negative Numbers Use negative numbers in basic arithmetic and algebraic calculations and word problems.
- Negative Numbers Video Revise how to add, subtract, multiply and divide negative numbers.
- Numbasics A daily workout strengthening your ability to do the basic mathematical operations efficiently.
- Number Line This number line visual aid is designed to be projected onto a whiteboard for whole class exposition.
- Number Line Banner A printable banner (multiple A4 sheets) of a colourful number line for the classroom wall.
- Numskull Interactive, randomly-generated, number-based logic puzzle designed to develop numeracy skills.
- One Minute Maths A challenge to mentally add numbers together without making the classic place value mistakes.
- Paradox Arrange the mathematical statements so as not to create a paradox.
- Partial Pyramids Calculate the missing numbers in these partly completed pyramid puzzles.
- Perfect Magic Square Arrange the sixteen numbers on the four by four grid so that groups of four numbers in a pattern add up to the same total.
- Plotting Scatter Graphs Plot scatter graphs from data representing a number of different everyday situations.
- Pyramid Puzzle Numbers in the bricks are found by adding the two bricks immediately below together. Can you achieve the given target?
- Quick Can you multiply a number by 1001 in your head? This exercise provides practice in this and other similar challenges.
- Rounding DP A self marking exercise requiring students to round numbers to a given number of decimal places.
- Rounding SF A self marking exercise requiring students to round numbers to a given number of significant figures.
- Rounding Snap If the last card put down equals the previous card to the nearest whole number then all players race to shout SNAP!
- Rounding Ten Round the numbers to the nearest whole number or the given power of ten.
- Rounding Video A reminder of how to round numbers to significant figures, decimal places and to the nearest power of ten.
- Short Division Practise short division with this exercise that already has the calculation set out for you.
- Subtraction Video A reminder of how to subtract one number from another using the column method.
- Temperatures Test your understanding of negative numbers with this self marking quiz about temperatures.
- Times Tables A collection of activities to help you learn your times tables in only 5 days.
- Which Operation? Decide which mathematical operation is required then use it to find the answers.

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

- Arithmetic The ability to perform mathematical calculations is still very important despite our hi-tech environment. Good numeracy skills support the understanding of more advanced mathematical concepts at all levels. Mathematicians still consider mastery of the manual algorithms to be a necessary foundation for the study of algebra and computer science. Pupils should have a good grasp of the meaning of numbers and use their understanding of place value to multiply and divide whole numbers and fractions. They should be able to order, add and subtract negative numbers in context. They should use all four operations with decimals rounding answers where required. They should be able to solve simple problems involving ratio and direct proportion and calculate fractional or percentage parts of quantities and measurements, using a calculator where appropriate. See also the Mental Methods topic and our Number Skills Inventory.
- Estimating The ability to estimate values is an often overlooked part of Mathematics. Estimating lengths, weights, time, angles and solutions to problems should be practised regularly. Pupils should make sensible estimates of a range of measures in relation to everyday situations. A basic ability to estimate quantities without counting, like when choosing a checkout line at the supermarket, can be called a person’s innate ‘number sense’. Practising this kind of estimating may actually improve a pupil’s ability in other areas of mathematics. This is one of the findings of research published in Psychological Science, a journal of the Association for Psychological Science. Practising estimation can be a lot of fun when presented as a game, challenge or group activity and provides the opportunity for the teacher to introduce variety in the mathematics classroom.
- 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.
- Negative Numbers A negative number is a real number that is less than zero. Such numbers are often used to represent the amount of a loss or absence. For example, a debt that is owed may be thought of as a negative asset, or a decrease in some quantity may be thought of as a negative increase. Negative numbers are also used to describe values on a scale that goes below zero, such as the Celsius and Fahrenheit scales for temperature. Here are some activities designed to strengthen a pupil's understanding of negative numbers.
- Rounding The objective of rounding is often to get a number that is easier to use, at the cost of making it less precise. This approximation is very important in dealing with answers to mathematical problems and making them relevant to the real world. Rounding to a given number of decimal places or significant figures is required of pupils. See also the "Approximating" Starters. Once the principles of rounding have been understood, a fun way to practise the skills is to play "Rounding Snap".
- Statistics Statistics is the study of the collection, organisation, analysis, interpretation and presentation of data. It deals with all aspects of data, including the planning of data collection in terms of the design of surveys and experiments. It also includes describing mathematical relationships between variables and presenting these to an audience in a way that best conveys meaning. See also the topics called Data Handling, Probability and Averages.

Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.

Write out as many square numbers as possible in 4 minutes.

The calculations are obscured by ink blots. What do you think the calculations would look like if there were no blots?

Random division calculations appear on screen every few seconds.

Practise multiplying and dividing by eleven in your head.

Rearrange the letters in the ex

Spot the factors and the multiples amongst the numbers in the grid.

Six calculations to complete without a calculator.

Do as many of the calculations as possible before the maggots infest!

Find which digits are missing from the randomly generated calculations.

Arrange the digits one to nine to make a correct addition calculation.

Random multiplications appear on screen every few seconds.

Find which numbers in a given list do not combine with other numbers on the list to make a given sum.

Work out the cheapest way from Los Angeles to Las Vegas by choosing the best route and adding up the given numbers.

Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.