February 2016 Logic & Maths Problems – Solutions

1. Amanda has 5 lollies and Krystal has 9

2. 24 black and 24 white. The black rectangle is 4 tiles X 6 tiles

3. 35

4. Prancer: Brisbane, Green sleigh
Dancer: Sydney, Yellow sleigh
Comet: Melbourne, Orange sleigh
Vixen: Perth, Blue sleigh
Rudolph: Adelaide, Red sleigh

5. $2000

6. 58

7. 12

8. 9

9. One quarter

10. Ages are 9, 2 and 2
Reasoning: The census taker could not figure out the children’s ages because, even with knowing the number on the house next , there were still two possibilities.
The only way that the product could be 36 and still leave two possibilities is when the sum equals 13. These possibilities being 9, 2 and 2 and 6, 6 and 1.

When the home owner stated that her “oldest” child is sleeping she was giving the census taker the fact that there is an “oldest”.

The children’s ages are therefore 9, 2 and 2.

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