Factors Starters:Abundant Buses: A game based around the concept of factors and abundant numbers. Dancing: Work out how many people were at the dance from the clues given. Factuples: Spot the factors and the multiples amongst the numbers in the grid. 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? Four Factors: Find four single digit numbers that multiply together to give 120. How many different ways are there of answering this question? Hotel Digital: A puzzle about the lifts in a hotel which serve floors based on the day of the week. Perfect Numbers: Six is a perfect number as it is the sum of its factors. Can you find any other perfect numbers? Verruca Value: The Verruca Value of a word is the number of vowels multiplied by the number of consonants. How many words can you find with Verruca Value of 24?
Small images of these Starters :: Index of Starters Factors Advanced Starters:Back To The Factory: Find all the numbers below 1000 which have exactly 20 factors Calendar Riddle: Work out the date of my birthday from the clues in rhyme. Divisible by 11: Can you prove that a three digit number whose first and third digits add up to the value of the second digit must be divisible by eleven? HCF and LCM given: If given the HCF, LCM can you find the numbers? Nine Digit Numbers: How many different nine digit numbers are their that contain each of the digits from one to nine? Reverse Connection: Find a general rule for the difference between a two digit number and that same number with the digits reversed. Victorian Times Comparison: Is 10! larger or smaller than the number of seconds in six weeks? Weather Reports: Which five different integers multiply together to give 12? Zero Even: Prove that zero is an even number.
Curriculum for Factors:Year 5Pupils should be taught to identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers more... Pupils should be taught to know and use the vocabulary of prime numbers, prime factors and composite (nonprime) numbers more... Pupils should be taught to establish whether a number up to 100 is prime and recall prime numbers up to 19 more... Pupils should be taught to solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes more... Year 6Pupils should be taught to use common factors to simplify fractions; use common multiples to express fractions in the same denomination more... Pupils should be taught to identify common factors, common multiples and prime numbers more... Years 7 to 9Pupils should be taught to use the concepts and vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation property more... ExamStyle Questions:There are almost a thousand examstyle questions unique to the Transum website. Feedback:Comment recorded on the 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull: "Dear Transum, Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School: "Really good site. Lots of good ideas for starters. Use it most of the time in KS3." Comment recorded on the 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast: "My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please." Comment recorded on the 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon: "Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated." Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne: "Very good starters, help pupils settle very well in maths classroom." Comment recorded on the 9 October 'Starter of the Day' page by Mr Jones, Wales: "I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!" Comment recorded on the 8 May 'Starter of the Day' page by Mr Smith, West Sussex, UK: "I am an NQT and have only just discovered this website. I nearly wet my pants with joy. Comment recorded on the 28 September 'Starter of the Day' page by Malcolm P, Dorset: "A set of real life savers!! Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!" Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales: "A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks." Comment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait: "I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun." Comment recorded on the 3 October 'Starter of the Day' page by Fiona Bray, Cams Hill School: "This is an excellent website. 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We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!" Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College: "Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work" Comment recorded on the 7 December 'Starter of the Day' page by Cathryn Aldridge, Pells Primary: "I use Starter of the Day as a registration and warmup activity for my Year 6 class. The range of questioning provided is excellent as are some of the images. Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy: "3 NQTs in the department, I'm new subject leader in this new academy  Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!" 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Notes: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. Factors Teacher Resources:Number Grids: Investigate the properties of number with these interactive number grids. HCF and LCM Calculator: A demonstration of how to find the highest common factor (HCF or GCD) and the lowest common multiple (LCM) of two numbers. Divisibility Tests 212: 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. Prison Cell Problem: A number patterns investigation involving prisoners and prison guards. Sieve of Eratosthenes: A self checking, interactive version of the Sieve of Eratosthenes method of finding prime numbers. Factors Activities:Number Grids: Investigate the properties of number with these interactive number grids. Prime Numbers Jigsaw: Interactive jigsaw puzzles of different types of grids containing prime numbers. Factor Trees: Create factor trees to find the prime factors of the given numbers. Factor Pairs: Find the factor pairs of the given numbers and arrange them in order. 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. Prime Labyrinth: Find the path to the centre of the labyrinth by moving along the prime numbers. 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. 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. Factor Trees Challenge: Can you determine the unique digits that will complete these factor trees? Times Square: Practise your times tables with this selfchecking multiplication grid. Divisibility Test: Practise using the quick ways to spot whether a number is divisible by the digits two to nine. Algebraic HCF: Exercises providing practice finding the highest common factor of algebraic expressions. Algebraic LCM: Exercises providing practice finding the lowest common multiple of algebraic expressions. Factorising: Practise the skills of algebraic factorisation in this structured online self marking exercise. 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. Prison Cell Problem: A number patterns investigation involving prisoners and prison guards. Product Square: Arrange the given numbers in a three by three grid to obtain the diagonal, row and column products. Satisfy: Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers. Threes and Fives: A game for two players who take turns to add a domino to the line in order to score threes and fives. 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. Doughnut Dissection: A puzzle to find four different ways of making 900 by multiplying together three different numbers. Delightfully Divisible: Arrange the digits one to nine to make a number which is divisible in the way described. Sieve of Eratosthenes: A self checking, interactive version of the Sieve of Eratosthenes method of finding prime numbers. Square and Cube Roots: Find square roots and cube roots by first calculating the prime factorisation of a number. Factors Investigations:Aunt Sophie's Post Office: Investigate the ways of making up various postage amounts using 3p and 8p stamps. An online stamp calculator is provided for you to check your working. Factors Videos:Prime Numbers Video: A reminder of what prime numbers and composite numbers are. Finding Prime Factors: A straight forward explanation from SLEP HCF and LCM Video: Learn different methods for finding the highest common factor and lowest common multiple of two or three numbers. Factors Worksheets/Printables:Divisibility Tests Worksheet: This worksheet contains a list of the divisibility tests along with a fillinthetable exercise. Factors External Links:Links to other websites containing resources for Factors are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.

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