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Tayla from Marion Primary School in Australia and Luna from Marner Primary School in England, sent in what they called “all the possible additions equalling 8”:

5+3 =8 3+5 =8 6+2=8 2+6=8 1+7=8 7+1=8 4+4=8

and then the subtractions:

9-1=8 10-2=8 11-3=8 12-4=8 13-5=8 14-6=8

PomPom from the Australian International School Malaysia extended the idea and used a division making 12:”¨

6+6=12, -20+32= 12, 24$\div$2= 12

Micaela from the Westridge School for Girls went further by using more than two numbers to generate the solution:”¨

For the number 8 I did 100 minus 48 minus 32 minus 4 minus 8 which equaled eight.

Now for a random age of 10 I did 87 minus 16 minus 11 then subtract 50. That's both of my answers.

Adelaide and Janeen also from Westridge used all four operations:”¨

0+8=8 Eight minus eight equals zero, so eight plus zero must equal eight.

19-11=8 Eleven plus eight equals nineteen, so nineteen minus eleven must equal eight.

2x4=8 Eight divided by two equals four, so two times four must equal eight.

24$\div$3=8 Eight times three equals twenty-four, so twenty-four divided by three must equal eight.

2+6=8 If eight minus six equals two, then six plus two must equal eight.

99-91=8 Eight plus ninety-one equals ninety-nine, so ninety-nine minus ninety-one must equal eight.

1x8=8 Any number times one equals itself.

64$\div$8=8 Eight times eight equals sixty-four, so sixty-four divided by eight must equal eight.

3+5=8 Eight minus five equals three, so three plus five must equal three.

55-47=8 Eight plus forty-seven equals fifty-five, so fifty-five minus forty-seven must equal eight.

All the ways to make eight is infinite but these are just a few examples.

Sofia and Alicia also from Westridge produced fifty altogether but went further by using different operations in one calculation (click on the image to see it larger):

96 divided by 12 equals eight. You can use inverse to check your answer as 12 x 8 = 96

100-92=8 I know this because 92+8=100

3x3-1=8 3x3 is 9 and -1 is 8.

A way to make 8 is when you have the number 100 and take away 92 because 100 -90=10 and 10-2=8!

2+6=8; 3+5=8; 4+4=8; 5+3=8: 6+2=8: 7+1=8; 4+4=8; 64 divided or shared by 8=8; 2+2+2+2=8

16Ã·2=8 I know this because there are 8 2's in 16.

A way is 96 divided by 12=8 that is the answer; 8+33-33=8

I know that you can make 8 by timesing 2 and 4 and that also will make 8; 7+1=8 I know this because 1+7=8; 100-92=8 I know this because 100-2=98 and when taking away, the first 2 numbers, you can switch those numbers around.

80 take away 72 equals 8; 5 add 3 equals 8 16 divide it by 2 equals 8 18 take away 10 equals 8; 4 add 2 add 2 equal 8 14 take away 6 equals 8; 1+7=8 8+0=8 5+3=8 3+5=8 0+8=8 double 4=8 2x4=8 11-3=8 7+1=8; 16 divided by 2=8

80Ã·10=8 because I counted in my head and it worked.

100-92=8 I know this because 8+92=100.

Here is Luna's, offering an original display and a variety of solutions: |
Here is Eleanor's, using ideas that are very different from others: |

Here is Evie's who separates ideas well. I like the idea of adding in "bonus" ones. It looks as Evie has enjoyed herself here! |
Here is TJ's. As well as an interesting display there's a lot of reversing going on. I think it's good to explore in this way! |

What a great response, so many thoughtful ideas for both the maths and the way of communicating it. Thank you all very much.