DAY 331:

The Main Challenge

Here is an interesting logic puzzle for you to try.

Insert the numbers 1-9 into the correct positions in this 3-by-3 grid after studying the seven clues below. Each number should appear exactly once.

x              x              x

x              x              x

x              x              x

Here are the clues:

  1.  The 2 is directly left of the 1,
  2.  The 6 is directly right of the 7,
  3.  The 8 is directly above the 9,
  4.  The 9 is directly right of the 5,
  5.  The 3 is further left than the 7,
  6.  The 4 is directly below the 3,
  7.  The 5 is in the very central position of the grid.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 4th columns contain the following fourteen numbers:

3   6   13   20   21   22   27   42   55   56   60   63   72   77

What is the difference between the sum of the lowest seven numbers and product of the two highest ones?

The Factors Challenge

Which of the following numbers are factors of 331?

3    5    7    9    11    13    15    17    19    None of them

The Mathematically Possible Challenge

Using 56 and 12 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

60    61    62    63    64    65    66    67    68    69

#NumbersIn60s

The Target Challenge

Can you arrive at 331 by inserting 1, 3, 11, 13, 31 and 33 into the gaps below?

  •  (◯–◯)×◯+◯–◯–◯ = 331

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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