DAY/DYDD 42:

The Main Challenge

You’ve rolled the numbers 2, 4 and 6 with your three dice.  Using these once each, with + – × ÷ available, find the THREE target numbers from 1-10 that it’s not possible to make.

Visit Roll3Dice.com for further details of similar challenges.

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 contain the following fourteen numbers:

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

Which three different numbers have a sum of 77?

The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive 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).

There are THREE ways of making 42 when using Lagrange’s Theorem. Can you find them?

The Mathematically Possible Challenge

Using 89 and 10 once each, with + – × ÷ available, which THREE numbers is it possible to make from the list below?

3    6    9    12    15    18    21    24    27    30

#3TimesTables

The Target Challenge

Can you arrive at 42 by inserting 2, 4, 6 and 8 into the gaps on each line?

  •  ◯×(◯+◯)–◯ = 42
  •  ◯²+(◯+◯)÷◯ = 42
  •  ◯³–◯–(◯×◯) = 42

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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