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  #### Resources tagged with Factors and multiples similar to The Deca Tree:
  
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  ### There are 143 results
  
  Broad Topics > Numbers and the Number System > Factors and multiples
  
  ### Zios and Zepts
  
  ##### Age 7 to 11 Challenge Level:
  
  On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?
  
  ### Being Resilient - Primary Number
  
  ##### Age 5 to 11 Challenge Level:
  
  Number problems at primary level that may require resilience.
  
  ### A Mixed-up Clock
  
  ##### Age 7 to 11 Challenge Level:
  
  There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?
  
  ### Scoring with Dice
  
  ##### Age 7 to 11 Challenge Level:
  
  I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?
  
  ### Being Collaborative - Primary Number
  
  ##### Age 5 to 11 Challenge Level:
  
  Number problems at primary level to work on with others.
  
  ### Abundant Numbers
  
  ##### Age 7 to 11 Challenge Level:
  
  48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?
  
  ### Multiplication Squares
  
  ##### Age 7 to 11 Challenge Level:
  
  Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.
  
  ### The Moons of Vuvv
  
  ##### Age 7 to 11 Challenge Level:
  
  The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
  
  ### Making Pathways
  
  ##### Age 7 to 11 Challenge Level:
  
  Can you find different ways of creating paths using these paving slabs?
  
  ### Tiling
  
  ##### Age 7 to 11 Challenge Level:
  
  An investigation that gives you the opportunity to make and justify predictions.
  
  ### Sweets in a Box
  
  ##### Age 7 to 11 Challenge Level:
  
  How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
  
  ### Two Primes Make One Square
  
  ##### Age 7 to 11 Challenge Level:
  
  Can you make square numbers by adding two prime numbers together?
  
  ### Mystery Matrix
  
  ##### Age 7 to 11 Challenge Level:
  
  Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
  
  ### Give Me Four Clues
  
  ##### Age 7 to 11 Challenge Level:
  
  Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?
  
  ### Multiply Multiples 3
  
  ##### Age 7 to 11 Challenge Level:
  
  Have a go at balancing this equation. Can you find different ways of doing it?
  
  ### Fractions in a Box
  
  ##### Age 7 to 11 Challenge Level:
  
  The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.
  
  ### What Two ...?
  
  ##### Age 7 to 11 Short Challenge Level:
  
  56 406 is the product of two consecutive numbers. What are these two numbers?
  
  ### Multiply Multiples 2
  
  ##### Age 7 to 11 Challenge Level:
  
  Can you work out some different ways to balance this equation?
  
  ### Divide it Out
  
  ##### Age 7 to 11 Challenge Level:
  
  What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
  
  ### It Figures
  
  ##### Age 7 to 11 Challenge Level:
  
  Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?
  
  ### Multiply Multiples 1
  
  ##### Age 7 to 11 Challenge Level:
  
  Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
  
  ### Path to the Stars
  
  ##### Age 7 to 11 Challenge Level:
  
  Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?
  
  ### Sets of Numbers
  
  ##### Age 7 to 11 Challenge Level:
  
  How many different sets of numbers with at least four members can you find in the numbers in this box?
  
  ### In the Money
  
  ##### Age 7 to 11 Challenge Level:
  
  There are a number of coins on a table. One quarter of the coins show heads. If I turn over 2 coins, then one third show heads. How many coins are there altogether?
  
  ### What's in the Box?
  
  ##### Age 7 to 11 Challenge Level:
  
  This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?
  
  ### Which Is Quicker?
  
  ##### Age 7 to 11 Challenge Level:
  
  Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
  
  ### Round and Round the Circle
  
  ##### Age 7 to 11 Challenge Level:
  
  What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.
  
  ### Multiples Grid
  
  ##### Age 7 to 11 Challenge Level:
  
  What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
  
  ### Factor-multiple Chains
  
  ##### Age 7 to 11 Challenge Level:
  
  Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
  
  ### Seven Flipped
  
  ##### Age 7 to 11 Challenge Level:
  
  Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
  
  ### What Do You Need?
  
  ##### Age 7 to 11 Challenge Level:
  
  Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?
  
  ### Flashing Lights
  
  ##### Age 7 to 11 Challenge Level:
  
  Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?
  
  ### Tom's Number
  
  ##### Age 7 to 11 Challenge Level:
  
  Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
  
  ### Fitted
  
  ##### Age 7 to 11 Challenge Level:
  
  Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
  
  ### Odds and Threes
  
  ##### Age 7 to 11 Challenge Level:
  
  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.
  
  ### What Is Ziffle?
  
  ##### Age 7 to 11 Challenge Level:
  
  Can you work out what a ziffle is on the planet Zargon?
  
  ### Neighbours
  
  ##### Age 7 to 11 Challenge Level:
  
  In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
  
  ### A Square Deal
  
  ##### Age 7 to 11 Challenge Level:
  
  Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.
  
  ### Becky's Number Plumber
  
  ##### Age 7 to 11 Challenge Level:
  
  Becky created a number plumber which multiplies by 5 and subtracts 4. What do you notice about the numbers that it produces? Can you explain your findings?
  
  ### Curious Number
  
  ##### Age 7 to 11 Challenge Level:
  
  Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
  
  ### Three Dice
  
  ##### Age 7 to 11 Challenge Level:
  
  Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
  
  ### Gran, How Old Are You?
  
  ##### Age 7 to 11 Challenge Level:
  
  When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?
  
  ### Ip Dip
  
  ##### Age 5 to 11 Challenge Level:
  
  "Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?
  
  ### Crossings
  
  ##### Age 7 to 11 Challenge Level:
  
  In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?
  
  ### Number Tracks
  
  ##### Age 7 to 11 Challenge Level:
  
  Benâ€™s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
  
  ### Money Measure
  
  ##### Age 7 to 11 Challenge Level:
  
  How can you use just one weighing to find out which box contains the lighter ten coins out of the ten boxes?
  
  ### Multiplication Series: Number Arrays
  
  ##### Age 5 to 11
  
  This article for teachers describes how number arrays can be a useful reprentation for many number concepts.
  
  ### Sets of Four Numbers
  
  ##### Age 7 to 11 Challenge Level:
  
  There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
  
  ### Number Detective
  
  ##### Age 5 to 11 Challenge Level:
  
  Follow the clues to find the mystery number.
  
  ### A Dotty Problem
  
  ##### Age 7 to 11 Challenge Level:
  
  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!
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