July 2013 Logic & Maths Puzzles

July 2013 Logic & Maths Puzzles

1. Work out the seating arrangements for a class of ten students, given the clues provided. Then write your answers in the form A1, B2 etc.

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The students in alphabetical order are:

Alan (A), Bill (B), Colin (C), David (D), Eddy (E),

Fiona (F), Grace (G), Hilary (H), Indira (I) and Jane (J)

  • The girl sitting next to the girl behind desk 1 is Fiona
  • Hilary is behind Colin
  • If Colin is not central then Alan is
  • David is next to Bill
  • Bill is three desks away from Colin
  • If Fiona is not central then Indira is
  • David sits in front of Grace
  • Fiona is three desks away from Grace

2. Which one of the five cubes on the right can NOT be made by folding the net on the left?

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3. What piece of equipment is being described here?

“It’s a graphic pre-electronic media emulator and high-resolution flat-screen monitor that produces near-perfect virtual images of all three-dimensional objects. Used primarily in cosmetic analysis.”


You can use these eleven words above to make two palindromic sentences – in other words, sentences which (once you ignore punctuation and spacing) read the same forward as they do backwards.

5. Untitled Capture-05

What is the total number of triangles in this figure?

6. If this code represents “CLINTON”

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Which American presidents are represented by each of the following?

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7. In a certain competition, each team plays each other team three times during the season.


If 45 games are played, how many teams are there?

8. I have some pencils and some jars


If I put 9 pencils into each jar I will have two jars left over

If I put 6 pencils into each jar I will have three pencils left over

How many pencils and how many jars?

9. What is the probability that the next person you meet has an above average number of arms?

Choose one answer.




Very Likely


10. Untitled Capture-08

The diagram shows eleven matches arranged in three squares. Can you move three of the matches to make two squares?


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