Number challenges using 0 to 9 digits. Record your thoughts and findings on the attached sheet. Use the digit cards to help you and additional paper if necessary. 1. Magic triangles. Using the digits 1, 2, 3, 4, 5, and 6 once only place them in a triangle shape so that the sum of each edge is the same. See if you can find all possible solutions (the magic total will be different each time). 2. Magic square. Use the digits from 1 to 9 once only and place them in a 3 by 3 square so that the sum of each row, column and the 2 diagonals is the same. See if you can find more than one way to do this. 3. Prime numbers. Using all the digits from 1 to 9 once only find six one or two digit prime numbers. 4. Multiples Using all the digits from 0 to 9 (once only each time) find five 2-digit numbers which are all multiples of: a) 6 b) 9 Why are multiples of 8 and 5 impossible? 5. Missing digits (1). Using the remaining digits from 1 to 9 once only make this calculation correct: 2**x*8=5*** 6. Missing digits (2). Use all the digits from 1 to 9 once only in each sum in order to make this correct. One possible solution is: 26 + 48 + 79 = 153 **+**+**=*** Number challenges using 0 to 9 digits. Recording sheet. 1. Magic triangles. 2. Magic square. 3. Prime numbers. 4. Multiples 5. Missing digits (1). 6. Missing digits (2).

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# Number challenges using 0 to 9 digits