DAY 185:

The Main Challenge

Your task is to arrive at the target answer of 7 by using each of the numbers 0.7, 2, 7 and 10 exactly once each, with +  × ÷ available.

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 4th & 7th rows contain the following fourteen numbers:

3   4   10   11   24   27   30   32   35   44   54   60   70   77

How many multiples of 3 are present?

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 185, in EIGHT different ways, when using Lagrange’s Theorem.

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 36 and 12 once each, with + – × ÷ available, which SEVEN numbers is it possible to make from the list below?

1    3    6    10    15    21    28    36    45    55    66

#TriangularNumbers

The Target Challenge

Can you arrive at 185 by inserting 5, 1520 and 30 into the gaps on each line?

  •  ◯+◯×◯+◯ = 185
  •  ◯×(◯–◯)–half◯ = 185

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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