DAY 153:

The Main Challenge

Using the three numbers 4, 4 and 4 once each, with + – × ÷ available, there are just SIX target numbers from 1-30 that are mathematically possible to achieve.  Can you list them?

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 3rd & 7th rows contain the following fourteen numbers:

4   11   13   24   25   27   30   36   42   45   66   70   77   80

Which number above 20, when 15 is subtracted from it, becomes a multiple of 7?

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 (4+1+1+1).

Show how you can make 153, in TEN different ways, when using Lagrange’s Theorem.

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using the three digits 35 and 8 once each, with + – × ÷ available, which are the only TWO numbers it’s possible to make from the list below?

4    8    12    16    20    24    28    32    36    40

#4TimesTable

The Target Challenge

Can you arrive at 153 by inserting 346 and 7 into the gaps in each line below?

  •  (◯×◯–◯)×◯² = 153
  •  ◯+◯×treble(◯+◯) = 153

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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