text: # Search by Topic
  
  #### Resources tagged with Place value similar to Would You Rather?:
  
  Filter by: Content type:
  Stage:
  Challenge level:
  
  ### There are 80 results
  
  Broad Topics > Numbers and the Number System > Place value
  
  ### The Thousands Game
  
  ##### Stage: 2 Challenge Level:
  
  Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
  
  ### Nice or Nasty for Two
  
  ##### Stage: 2 Challenge Level:
  
  Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
  
  ### Nice or Nasty
  
  ##### Stage: 2 and 3 Challenge Level:
  
  There are nasty versions of this dice game but we'll start with the nice ones...
  
  ### Four-digit Targets
  
  ##### Stage: 2 Challenge Level:
  
  You have two sets of the digits 0 – 9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?
  
  ### What Do You Need?
  
  ##### Stage: 2 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?
  
  ### Becky's Number Plumber
  
  ##### Stage: 2 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?
  
  ### Being Curious - Primary Number
  
  ##### Stage: 1 and 2 Challenge Level:
  
  Number problems for inquiring primary learners.
  
  ### Dicey Operations for Two
  
  ##### Stage: 2 Challenge Level:
  
  Dicey Operations for an adult and child. Can you get close to 1000 than your partner?
  
  ##### Stage: 1 and 2 Challenge Level:
  
  Who said that adding couldn't be fun?
  
  ### Which Scripts?
  
  ##### Stage: 2 Challenge Level:
  
  There are six numbers written in five different scripts. Can you sort out which is which?
  
  ### Being Thoughtful - Primary Number
  
  ##### Stage: 1 and 2 Challenge Level:
  
  Number problems at primary level that require careful consideration.
  
  ### Cayley
  
  ##### Stage: 3 Challenge Level:
  
  The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
  
  ### Song Book
  
  ##### Stage: 2 Challenge Level:
  
  A school song book contains 700 songs. The numbers of the songs are displayed by combining special small single-digit boards. What is the minimum number of small boards that is needed?
  
  ### All the Digits
  
  ##### Stage: 2 Challenge Level:
  
  This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
  
  ### Football Sum
  
  ##### Stage: 3 Challenge Level:
  
  Find the values of the nine letters in the sum: FOOT + BALL = GAME
  
  ### Napier's Bones
  
  ##### Stage: 2 Challenge Level:
  
  The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?
  
  ### One Million to Seven
  
  ##### Stage: 2 Challenge Level:
  
  Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
  
  ### Trebling
  
  ##### Stage: 2 Challenge Level:
  
  Can you replace the letters with numbers? Is there only one solution in each case?
  
  ### Number Detective
  
  ##### Stage: 2 Challenge Level:
  
  Follow the clues to find the mystery number.
  
  ### Snail One Hundred
  
  ##### Stage: 1 and 2 Challenge Level:
  
  This is a game in which your counters move in a spiral round the snail's shell. It is about understanding tens and units.
  
  ### That Number Square!
  
  ##### Stage: 1 and 2 Challenge Level:
  
  Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
  
  ### (w)holy Numbers
  
  ##### Stage: 2 Challenge Level:
  
  A church hymn book contains 700 hymns. The numbers of the hymns are displayed by combining special small single-digit boards. What is the minimum number of small boards that is needed?
  
  ### The Deca Tree
  
  ##### Stage: 2 Challenge Level:
  
  Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.
  
  ### ABC
  
  ##### Stage: 2 Challenge Level:
  
  In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
  
  ### Six Is the Sum
  
  ##### Stage: 2 Challenge Level:
  
  What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
  
  ### Which Is Quicker?
  
  ##### Stage: 2 Challenge Level:
  
  Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
  
  ### Dicey Operations
  
  ##### Stage: 3 Challenge Level:
  
  Who said that adding, subtracting, multiplying and dividing couldn't be fun?
  
  ### Digit Sum
  
  ##### Stage: 3 Challenge Level:
  
  What is the sum of all the digits in all the integers from one to one million?
  
  ### Just Repeat
  
  ##### Stage: 3 Challenge Level:
  
  Think of any three-digit number. Repeat the digits. The 6-digit number that you end up with is divisible by 91. Is this a coincidence?
  
  ### Being Determined - Primary Number
  
  ##### Stage: 1 and 2 Challenge Level:
  
  Number problems at primary level that may require determination.
  
  ### Multiply Multiples 2
  
  ##### Stage: 2 Challenge Level:
  
  Can you work out some different ways to balance this equation?
  
  ### Multiply Multiples 1
  
  ##### Stage: 2 Challenge Level:
  
  Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
  
  ### Exploring Simple Mappings
  
  ##### Stage: 3 Challenge Level:
  
  Explore the relationship between simple linear functions and their graphs.
  
  ### Multiply Multiples 3
  
  ##### Stage: 2 Challenge Level:
  
  Have a go at balancing this equation. Can you find different ways of doing it?
  
  ### Round the Four Dice
  
  ##### Stage: 2 Challenge Level:
  
  This activity involves rounding four-digit numbers to the nearest thousand.
  
  ### Being Collaborative - Primary Number
  
  ##### Stage: 1 and 2 Challenge Level:
  
  Number problems at primary level to work on with others.
  
  ### Diagonal Sums
  
  ##### Stage: 2 Challenge Level:
  
  In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?
  
  ### Arrange the Digits
  
  ##### Stage: 3 Challenge Level:
  
  Can you arrange the digits 1,2,3,4,5,6,7,8,9 into three 3-digit numbers such that their total is close to 1500?
  
  ### Reach 100
  
  ##### Stage: 2 and 3 Challenge Level:
  
  Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
  
  ### Calculator Bingo
  
  ##### Stage: 2 Challenge Level:
  
  A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
  
  ### Spell by Numbers
  
  ##### Stage: 2 Challenge Level:
  
  Can you substitute numbers for the letters in these sums?
  
  ### Oddly
  
  ##### Stage: 2 Challenge Level:
  
  Find the sum of all three-digit numbers each of whose digits is odd.
  
  ### Three Times Seven
  
  ##### Stage: 3 Challenge Level:
  
  A three digit number abc is always divisible by 7 when 2a+3b+c is divisible by 7. Why?
  
  ### Repeaters
  
  ##### Stage: 3 Challenge Level:
  
  Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.
  
  ### Even Up
  
  ##### Stage: 3 Challenge Level:
  
  Consider all of the five digit numbers which we can form using only the digits 2, 4, 6 and 8. If these numbers are arranged in ascending order, what is the 512th number?
  
  ##### Stage: 2 and 3 Challenge Level:
  
  Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
  
  ### Skeleton
  
  ##### Stage: 3 Challenge Level:
  
  Amazing as it may seem the three fives remaining in the following `skeleton' are sufficient to reconstruct the entire long division sum.
  
  ##### Stage: 3 Challenge Level:
  
  Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
  
  ### Basically
  
  ##### Stage: 3 Challenge Level:
  
  The number 3723(in base 10) is written as 123 in another base. What is that base?
  
  ### Two and Two
  
  ##### Stage: 3 Challenge Level:
  
  How many solutions can you find to this sum? Each of the different letters stands for a different number.
explanation: The provided text is a collection of math problems and activities related to place value, suitable for primary and secondary school students. It includes various challenges such as creating the highest even number, playing dice games, and solving puzzles involving digit manipulation. The text contains multiple questions and activities but does not provide answers.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Search by Topic
  
  #### Resources tagged with Place value similar to Would You Rather?:
  
  Filter by: Content type:
  Stage:
  Challenge level:
  
  ### There are 80 results
  
  Broad Topics > Numbers and the Number System > Place value
  
  ### The Thousands Game
  
  ##### Stage: 2 Challenge Level:
  
  Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
  
  ### Nice or Nasty for Two
  
  ##### Stage: 2 Challenge Level:
  
  Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
  
  ### Nice or Nasty
  
  ##### Stage: 2 and 3 Challenge Level:
  
  There are nasty versions of this dice game but we'll start with the nice ones...
  
  ### Four-digit Targets
  
  ##### Stage: 2 Challenge Level:
  
  You have two sets of the digits 0 – 9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?
  
  ### What Do You Need?
  
  ##### Stage: 2 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?
  
  ### Becky's Number Plumber
  
  ##### Stage: 2 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?
  
  ### Being Curious - Primary Number
  
  ##### Stage: 1 and 2 Challenge Level:
  
  Number problems for inquiring primary learners.
  
  ### Dicey Operations for Two
  
  ##### Stage: 2 Challenge Level:
  
  Dicey Operations for an adult and child. Can you get close to 1000 than your partner?
  
  ##### Stage: 1 and 2 Challenge Level:
  
  Who said that adding couldn't be fun?
  
  ### Which Scripts?
  
  ##### Stage: 2 Challenge Level:
  
  There are six numbers written in five different scripts. Can you sort out which is which?
  
  ### Being Thoughtful - Primary Number
  
  ##### Stage: 1 and 2 Challenge Level:
  
  Number problems at primary level that require careful consideration.
  
  ### Cayley
  
  ##### Stage: 3 Challenge Level:
  
  The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
  
  ### Song Book
  
  ##### Stage: 2 Challenge Level:
  
  A school song book contains 700 songs. The numbers of the songs are displayed by combining special small single-digit boards. What is the minimum number of small boards that is needed?
  
  ### All the Digits
  
  ##### Stage: 2 Challenge Level:
  
  This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
  
  ### Football Sum
  
  ##### Stage: 3 Challenge Level:
  
  Find the values of the nine letters in the sum: FOOT + BALL = GAME
  
  ### Napier's Bones
  
  ##### Stage: 2 Challenge Level:
  
  The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?
  
  ### One Million to Seven
  
  ##### Stage: 2 Challenge Level:
  
  Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
  
  ### Trebling
  
  ##### Stage: 2 Challenge Level:
  
  Can you replace the letters with numbers? Is there only one solution in each case?
  
  ### Number Detective
  
  ##### Stage: 2 Challenge Level:
  
  Follow the clues to find the mystery number.
  
  ### Snail One Hundred
  
  ##### Stage: 1 and 2 Challenge Level:
  
  This is a game in which your counters move in a spiral round the snail's shell. It is about understanding tens and units.
  
  ### That Number Square!
  
  ##### Stage: 1 and 2 Challenge Level:
  
  Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
  
  ### (w)holy Numbers
  
  ##### Stage: 2 Challenge Level:
  
  A church hymn book contains 700 hymns. The numbers of the hymns are displayed by combining special small single-digit boards. What is the minimum number of small boards that is needed?
  
  ### The Deca Tree
  
  ##### Stage: 2 Challenge Level:
  
  Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.
  
  ### ABC
  
  ##### Stage: 2 Challenge Level:
  
  In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
  
  ### Six Is the Sum
  
  ##### Stage: 2 Challenge Level:
  
  What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
  
  ### Which Is Quicker?
  
  ##### Stage: 2 Challenge Level:
  
  Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
  
  ### Dicey Operations
  
  ##### Stage: 3 Challenge Level:
  
  Who said that adding, subtracting, multiplying and dividing couldn't be fun?
  
  ### Digit Sum
  
  ##### Stage: 3 Challenge Level:
  
  What is the sum of all the digits in all the integers from one to one million?
  
  ### Just Repeat
  
  ##### Stage: 3 Challenge Level:
  
  Think of any three-digit number. Repeat the digits. The 6-digit number that you end up with is divisible by 91. Is this a coincidence?
  
  ### Being Determined - Primary Number
  
  ##### Stage: 1 and 2 Challenge Level:
  
  Number problems at primary level that may require determination.
  
  ### Multiply Multiples 2
  
  ##### Stage: 2 Challenge Level:
  
  Can you work out some different ways to balance this equation?
  
  ### Multiply Multiples 1
  
  ##### Stage: 2 Challenge Level:
  
  Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
  
  ### Exploring Simple Mappings
  
  ##### Stage: 3 Challenge Level:
  
  Explore the relationship between simple linear functions and their graphs.
  
  ### Multiply Multiples 3
  
  ##### Stage: 2 Challenge Level:
  
  Have a go at balancing this equation. Can you find different ways of doing it?
  
  ### Round the Four Dice
  
  ##### Stage: 2 Challenge Level:
  
  This activity involves rounding four-digit numbers to the nearest thousand.
  
  ### Being Collaborative - Primary Number
  
  ##### Stage: 1 and 2 Challenge Level:
  
  Number problems at primary level to work on with others.
  
  ### Diagonal Sums
  
  ##### Stage: 2 Challenge Level:
  
  In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?
  
  ### Arrange the Digits
  
  ##### Stage: 3 Challenge Level:
  
  Can you arrange the digits 1,2,3,4,5,6,7,8,9 into three 3-digit numbers such that their total is close to 1500?
  
  ### Reach 100
  
  ##### Stage: 2 and 3 Challenge Level:
  
  Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
  
  ### Calculator Bingo
  
  ##### Stage: 2 Challenge Level:
  
  A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
  
  ### Spell by Numbers
  
  ##### Stage: 2 Challenge Level:
  
  Can you substitute numbers for the letters in these sums?
  
  ### Oddly
  
  ##### Stage: 2 Challenge Level:
  
  Find the sum of all three-digit numbers each of whose digits is odd.
  
  ### Three Times Seven
  
  ##### Stage: 3 Challenge Level:
  
  A three digit number abc is always divisible by 7 when 2a+3b+c is divisible by 7. Why?
  
  ### Repeaters
  
  ##### Stage: 3 Challenge Level:
  
  Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.
  
  ### Even Up
  
  ##### Stage: 3 Challenge Level:
  
  Consider all of the five digit numbers which we can form using only the digits 2, 4, 6 and 8. If these numbers are arranged in ascending order, what is the 512th number?
  
  ##### Stage: 2 and 3 Challenge Level:
  
  Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
  
  ### Skeleton
  
  ##### Stage: 3 Challenge Level:
  
  Amazing as it may seem the three fives remaining in the following `skeleton' are sufficient to reconstruct the entire long division sum.
  
  ##### Stage: 3 Challenge Level:
  
  Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
  
  ### Basically
  
  ##### Stage: 3 Challenge Level:
  
  The number 3723(in base 10) is written as 123 in another base. What is that base?
  
  ### Two and Two
  
  ##### Stage: 3 Challenge Level:
  
  How many solutions can you find to this sum? Each of the different letters stands for a different number.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is a collection of math problems and activities related to place value, suitable for primary and secondary school students. It includes various challenges such as creating the highest even number, playing dice games, and solving puzzles involving digit manipulation. The text contains multiple questions and activities but does not provide answers.
  
  Label: multiple-question