Multiplication and Division
Term 1 starting in week 6 :: Estimated time: 3 weeks
- Multiples
- Common multiples
- Factors
- Common factors
- Prime numbers
- Square numbers
- Cube numbers
- Multiply by 10, 100 and 1,000
- Divide by 10, 100 and 1,000
- Multiples of 10, 100 and 1,000
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Activities for pupils
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.
Prime Pips in Pots This is a version of Wari, one of the oldest known games to still be widely played today. It involves small prime numbers.
Number Grids Investigate the properties of number with these interactive number grids.
Prime Numbers Video A reminder of what prime numbers and composite numbers are.
Place Value Chart This is a visual aid designed to be projected onto a whiteboard for whole class exposition about place value.
Place Value Enjoy this exercise to show you understand place value for decimals and numbers of any size.
Basic Multiplication A self-marking exercise on multiplication 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
Prime Numbers Jigsaw Interactive jigsaw puzzles of different types of grids containing prime numbers.
Prime Path Pace The objective is to find a continuous path of prime numbers in the shortest time.
Factor Trees Create factor trees to find the prime factors of the given numbers.
Broken Calculator Some of the buttons are missing from this calculator. Can you make the totals from 1 to 20?
Chain Challenge How fast can you perform all of the given operations without using a calculator?
Factor Pairs Find the factor pairs of the given numbers and arrange them in order.
Palindrome Products Use long multiplication and pattern spotting to fill in the table with palindromic products.
Flabbergasted Game This game for one or two players is an exciting challenge to demonstrate an understanding of factors and multiples.
How Many Factors? Work out the number of factors a number has then write them all as a list.
Fizz Buzzer The digital version of the popular fizz buzz game. Press the buzzers if they are factors of the counter.
Division Video A reminder of how to divide one number into another using short or long division.
Product of Primes Match the primes that multiply to give the products. A drag and drop activity.
Prime Labyrinth Find the path to the centre of the labyrinth by moving along the prime numbers.
Convoluted Find the runs of four multiples in order as quickly as you can.
Connect 4 Factors This a game for one or two players. The winner is the first to line up four numbers with a common factor.
Pick The Primes Pick the prime fruit from the tree as quickly as possible. Practise to improve your personal best time.
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.
HCF and LCM Video Learn different methods for finding the highest common factor and lowest common multiple of two or three numbers.
HCF and LCM Practise finding the highest common factor (H.C.F), sometimes called the greatest common divisor, and the lowest common multiple (L.C.M) of two numbers.
Multi-step Problems Solve multi-step problems in contexts, deciding which operations and methods to use and why.
Factor Trees Challenge Can you determine the unique digits that will complete these factor trees?
Venn Diagram Place each of the numbers 1 to 16 on the correct regions on the Venn diagram.
Multiplication Video A reminder of how to multiply two numbers using the column method or long multiplication.
Dump-A-Dice Race An online board game for two players involving prime and square numbers and making choices.
Watsadoo Rotate the cogs to catch the flying numbers in the correct sections.
Divisibility Test Practise using the quick ways to spot whether a number is divisible by the digits two to nine.
Divisibility Tests 2-12 A visual aid designed to be projected in the classroom. Here you can find the quick ways of telling whether a number is exactly divisible by the numbers two to twelve.
Prime Pairs Game A game for two players who take turns to select two numbers that add up to a prime number.
Divisibility Tests Worksheet This worksheet contains a list of the divisibility tests along with a fill-in-the-table exercise.
Powten Practise multiplying and dividing by powers of ten without using a calculator.
Remainder Race A game involving chance and choice requiring an ability to calculate the remainder when a two digit number is divided by a single digit number.
Scallywags and Scoundrels Arrange the scallywags and scoundrels on the chairs so that the numbers of any two sitting next to each other add up to a prime number.
Three Prime Sum A self-marking challenge to write each of the given numbers as the sum of three prime numbers.
Pesto Students classify numbers randomly appearing on the screen by holding up cards
Satisfy Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers.
Happy Numbers To find out whether a number is happy square each of its digits, add the answers and repeat. End in one and the number is happy.
Three Ways Find three different ways of multiplying four different digits together to get the given target number. There are nine levels for this online challenge.
Sieve of Eratosthenes A self checking, interactive version of the Sieve of Eratosthenes method of finding prime numbers.
Click on a topic below for suggested lesson Starters, resources and activities from Transum.
- Factors A factor is a whole number that divides exactly into another whole number. We say the first number is a factor of the second number. Prime numbers only have two factors, one and themselves. After becoming familiar with times tables pupils then practise using this knowledge by recognising factors of numbers. There are well known and some less well known divisibility tests that are of some use in solving more complex number problems. Pupils need to know how to find the highest common factor (HCF) of two or more numbers either mentally or using a pen and paper strategy so that they can correctly manipulate fractions and algebraic expressions.
- 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.
- Number Spotting patterns is an important skill in many areas of life. The world of numbers contains many fascinating patterns and understanding them enables better problem solving strategies. From seeing patterns in the multiples of numbers shaded in a hundred square to spotting the recurring sequences of digits in decimal numbers there is a great deal for pupils to be introduced to. This topic includes even, odd, prime, triangular, perfect, abundant, square and cube numbers. It uses factors and multiples to find solutions to real life problems and encourages number connections to be investigated for pleasure. There are a lot of puzzles, challenges and games too. See also the Mental Methods topic and our Number Skills Inventory.
Lesson Starters
Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.
1st Lesson
Four Factors
Find four single digit numbers that multiply together to give 120. How many different ways are there of answering this question?
2nd Lesson
A Very Strange Game
Four different actions depending on the number which appears.
3rd Lesson
Flabbergasted
If each number in a sequence must be a factor or multiple of the previous number what is the longest sequence that can be made from the given numbers?
4th Lesson
Abundant Buses
A game based around the concept of factors and abundant numbers.
5th Lesson
Hotel Digital
A puzzle about the lifts in a hotel which serve floors based on the day of the week.
6th Lesson
Vixen Value
The Vixen Value of a word is the number of vowels multiplied by the number of consonants. How many words can you find with Vixen Value of 24?
7th Lesson
Factuples
Spot the factors and the multiples amongst the numbers in the grid.
8th Lesson
Can You Decide?
Recognise odd, even, square, prime and triangular numbers.
9th Lesson
Pears Make Squares
Find three numbers such that each pair of numbers adds up to a square number.
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.
