Thanks to those of you who took part in the little maths problem last week. It was interesting to see the variety of answers coming out. I’m not sure how the first 3 were calculated, but I will try to explain some of the other ones…

**1) 150**

**2) 180**

**3) 20**

**4) 152** because the units have a pattern 8, 2, 0, 2 and tens goes up sequentially by 2 – 1, 3, 5, 7. This give 8 = 112, 9 = 130, 10 = 152

**5) 116** because 3 + 7 = 10, therefore 10 = 18 + 98 = 116

**6) 100** because 5 + 5 = 10 therefore 10 = 50 + 50 = 100

7) 104 because 4 + 6 = 10 therefor 10 = 32 + 72 = 104

**8) 10** clearly 10 = 10

**9) And the most popular (so clearly wrong?) was 200 **because the pattern is 10 * 10 * 2 = 200

UPDATED 25/01/2014 due to additional possibilities:

**10) 62**. To get this, you need to remove the equals sign and calculate the difference between the numbers – this difference increases by 4 between each pair of numbers. So, 432 – 318 = 114, 550 – 432 = 118, 672 – 550 = 122, 798 – 672 = 126. The next number will be 798 + 130 = 928, 928 + 134 = 1062. Now reinstate the = to give 10=62. Phew. Thanks to Tony Bialorucki for this answer.

**11) ?**. Yes question mark. If you read it as a set of statements rather than a question, then 10=?. Thanks to sik for this answer.

There are several issues with how this problem is written, which means you could end up with almost any answer given the correct logic –

First, it starts off with a statistic (99.9%) which is to entice you attempt an answer.

Second, the question itself is not correctly worded. It should go along the lines of ‘Complete the following sequence…’

Thirdly, the calculations are clearly all incorrect, so you could almost put any number down. The logic is deliberately vague

When I originally did this problem, my first answer was 160. This was because I didn’t read the question properly (a problem my 9 year old often has), and assumed it was asking for the next number in the sequence – 8 = 160!

**So, what is the answer?**

It’s 200, although I did like the 10 from The Penguin as this is the only answer which is true!

Sorry if anyone was disappointed, but hope you enjoyed the problem.

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