DAY 186:

The Main Challenge

Here’s another 10-step question involving all four arithmetic operations and all numbers from 1 to 10.

Start with the number 28, then:

  • divide by four
  • multiply by six
  • subtract two
  • add five
  • divide by nine
  • multiply by one
  • add ten
  • divide by three
  • add eight
  • subtract seven

What is your answer?

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 difference between the sum of the multiples of 11 and the sum of the prime numbers?

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 186, in NINE 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 THREE numbers is it possible to make from the list below?

2    3    5    7    11    13    17    19    23    29

#PrimeNumbers

The Target Challenge

Can you arrive at 186 by inserting 346 and 9 into the gaps on each line?

  •  (◯×◯+◯)×◯ = 186
  •  (◯×◯+double◯)×◯ = 186

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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