Magic Vs. Magic Vs printable sheet. The problem is explained below, but you may wish to scroll to the foot of the page to watch a video of the NRICH team presenting this challenge. Place each of the numbers 1 to 5 in the V shape below so that the two arms of the V have the same total.

Magic Vs Place each of the numbers 1 to 5 in the V shape below so that the two arms of the V have the same total. When the two arms of the V have the same total, we'll call it a 'magic V'. We'll call the total of the three numbers in an arm of a magic V the 'magic total'. What is the magic total of each 'arm' in your magic V?

There are three possible Vs: one with the 1 at the bottom; one with a 3 at the bottom and one with a 5 at the bottom. You may have found more solutions, depending on what you decided was meant by a 'different' solution. To see more detailed children's solutions to …

Magic Vs Place each of the numbers 1 to 5 in the V shape below so that the two arms of the V have the same total. How many different possibilities are there? What do you notice about all the solutions you find? Can you explain what you see? Can you convince someone that you have all the solutions? What happens if we use the numbers from 2 to 6?

Magic Vs nrich.maths.org Place each of the numbers 1 to 5 in the V shape so that the two arms of the V have the same total. How many different possibilities are there? Can you convince someone that you have all the solutions? What happens if we use the numbers from 2 to 6? From 12 to 16? From 37 to 41? From 103 to 107?

Here is a spreadsheet to help you investigate Magic Vs made from five consecutive numbers. Can you describe an efficient strategy to find all Magic Vs for any given set of numbers? Can you use your strategy to find all the possible Magic Vs that use the numbers $987, 988, 989, 990, 991$?

Magic Vs Place each of the numbers 1 to 5 in the V shape below so that the two arms of the V have the same total. How many different possibilities are there? What do you notice about all the solutions you find? Can you explain what you see? Can you convince someone that you have all the solutions? What happens if we use the numbers from 2 to 6?

Magic Vs. Age. 7 to 11 Challenge level. Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total? problem Greater than or less than? Age. 7 to 11 Challenge level. Use the numbers and symbols to make this number sentence correct. How many different ways can you find? problem

Magic Vs. Age. 7 to 11 Challenge level. Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total? problem Got it. Age. 7 to 14 Challenge level. A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to ...

Can you find a Magic V for any arm total? Charlie and Alison drew some more letters, to see if they could make them magic - that is, using consecutive numbers to make equal arm totals. Magic L? Magic N? Magic W? Investigate some of these Magic Letters in the same way that you explored Magic Vs. What general conclusions can you reach?