DAY/DYDD 8:

The Main Challenge

The concept behind this challenge is similar to my Mathelona number puzzles, so please feel free to click the link for details of my popular pocket book of challenges.

Insert the numbers 1-12, once each, into the 12 gaps so that all four lines work out:

◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯

The 7puzzle Challenge

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

The 3rd & 4th rows contain the following fourteen numbers:

3   10   13   25   32   35   36   42   44   45   54   60   66   80

What is the difference between the two square numbers listed?

The Roll3Dice Challenge

From the seven groups of numbers below, it is possible to make today’s target number of with six of the groups when each number in the group is used once and + – × ÷ is available.

But, which is the impossible group below that CANNOT make 8?

  •   1   1   4
  •   1   3   5
  •   1   5   6
  •   2   2   6
  •   2   5   6
  •   3   6   6
  •   4   6   6

Visit Roll3Dice.com for full details of our family-related maths initiative.

The Mathematically Possible Challenge

Using 45 and 10 once each, with + – × ÷ available, which FOUR numbers cannot be made from the list below?

10    20    30    40    50    60    70    80    90    100

#10TimesTable

The Target Challenge

Can you arrive at 8 by inserting 1, 2, 4 and 8 into the gaps on each line?

  •  (²×◯²)÷(◯×◯) = 8  (there are 2 ways)
  •  (◯×◯×◯)÷◯² = 8
  •  ◯×◯÷√(◯×◯) = 8
  •  (◯–◯×◯–◯)³ = 8

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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