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I'm Eight

Stage: 1, 2, 3 and 4 Challenge Level: Challenge Level:1

Rachel from West Flegg Middle School has made decisions about things such as what numbers she wanted to use and what sort of mathematics she used. And she look for patterns! She says:

Hi, I'm Rachel. I am nearly eleven, so I thought I would write about "I'm Eleven''. In my investigation of different ways to find eleven, I will be using addition, subtraction, fractions, decimals and timesing. Some sums will use all and some will use some, but whatever, I will make eleven.

1. (10 + 78) $\div$ 8 = 11 2. (0.8 $\times$ 10) +3 = 11
3. 0.11 $\times$100 = 11 4. ((11/12 of 72) $\div$ 11) +5 = 11
5. 50 - 39 = 11 6. (3 $\times$ 12) - (100 $\div$ 4)= 11

I also, apart from these sums, found 2 sets of patterns. Here they are:

Pattern 1

(4 $\times$3) - 1 = 11
(5 $\times$3) - 4 = 11
(6 $\times$3) - 7 = 11
(7 $\times$3) - 10 = 11



Pattern 2

(4 $\times$11)-(3 $\times$11) = 11
(5 $\times$11)-(4 $\times$11) = 11
(6 $\times$11)-(5 $\times$11) = 11
(7 $\times$11)-(6 $\times$11) = 11



7. (132 $\div$ 10) - 2.2 = 11 8. 52 - 41 = 11
9. (77 $\div$ 11) + 4 = 11 10. (11 $\times$ 11) $\div$ 11= 11
11. 249.15 $\div$ 22.65 = 11 12. 3$^2$ + 2 = 11