DAY 188:

The Main Challenge

Try the following number challenge similar to the ones found in our Mathelona pocket book of challenges. Click the link for details.

Your task is to make all four lines below work arithmetically by placing the following 16 digits into the 16 gaps.

0    0    1    1    2    2    4    4    5    5    6    6    7    7    8    9

◯  +  ◯   =    15    =   ◯  +  ◯
◯  +  ◯   =     2     =   ◯  –  ◯
◯  +  ◯   =     8     =   ◯  ×  ◯
◯  +  ◯   =     1     =   ◯  ÷  ◯

It’s tricky – but can you do it?

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

What is the sum of the multiples of 16?

The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

Show how you can make 188, in FIVE different ways, when using Lagrange’s Theorem.

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 34 and 12 once each, with + – × ÷ available, which THREE numbers is it possible to make from the list below?

5    10    15    20    25    30    35    40    45    50

#5TimesTable

The Target Challenge

Can you arrive at 188 by inserting 2, 9, 10 and 11 into the gaps on each line?

  •  ◯×◯×◯–◯ = 188
  •  (◯×◯–half◯)×◯ = 188
  •  (◯+◯)×◯–half◯ = 188

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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