DAY 252:

The Main Challenge

Can you complete this task so the three lines work out arithmetically when inserting the digits 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8 and 9 into the 12 gaps below?

◯  +  ◯   =     7     =   ◯  –  ◯
◯  +  ◯   =    12    =   ◯  ×  ◯
◯  +  ◯   =     4     =   ◯  ÷  ◯

Further details of our pocket book of challenges can be found by clicking Mathelona.

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 2nd & 6th rows of the playing board contain the following fourteen numbers:

5   8   12   17   18   20   28   33   48   49   55   56   63   64

How many pairs of consecutive numbers are listed?

The Factors Challenge

Which of the following numbers, if any, are factors of 252?

3    4    5    6    7    8    9    10    11    None of them

Today’s Hint: A multiple of 9 will always have its digits adding up to 9, 18, 27… ]

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 58 and 11 once each, with + – × ÷ available, which are the ONLY two numbers it is possible to make from the list below?

6    12    18    24    30    36    42    48    54    60

#6TimesTable

The Target Challenge

Can you arrive at 252 by inserting 3, 5, 7, 9 and 11 into the gaps below?

  •  (◯+◯)×◯×◯²÷◯ = 252

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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