DAY 295:

The Main Challenge

. . . is from Volume 1 of our Mathelona pocket book. You have a limited amount of numbers to work with, so can you make all three lines work out arithmetically by filling the 12 gaps with these numbers?

1      2      2      2      3      4      4      4      8      8      8      8

◯  +  ◯   =     5     =   ◯  –  ◯
◯  +  ◯   =    16    =   ◯  ×  ◯
◯  +  ◯   =     4     =   ◯  ÷  ◯

Full details of our popular number puzzle can be found by clicking Mathelona.

The 7puzzle Challenge

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

The 2nd & 3rd rows contain the following fourteen numbers:

8   13   17   25   28   36   42   45   48   55   63   64   66   80

There are two numbers on the list that are consecutive. What is their sum?

The Factors Challenge

Which of the following numbers are factors of 295?

3     5     7     9     11     13     15

The Mathematically Possible Challenge

Using 810 and 12 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

80    81    82    83    84    85    86    87    88    89

#NumbersIn80s

The Target Challenge

Can you arrive at 295 by inserting 3, 3, 4, 5 and 6 into the gaps below?

  •  (◯³÷◯–◯²+◯)×◯ = 295

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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