DAY 217:

The Main Challenge

What is the sum of the first seven 2-digit even numbers?

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 3rd & 4th rows of the playing board contain the following fourteen numbers:

3   10   13   25   32   35   36   42   44   45   54   60   66   80

Which statement is true?

  • There are more multiples of 9 than multiples of 10 on the list
  • There are equal numbers of multiples of 9 and multiples of 10 on the list
  • There are less multiples of 9 than multiples of 10 on the list

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 TEN different ways to make 217 when using Lagrange’s Theorem. How many can you find?

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 46 and once each, with + – × ÷ available, which are the FOUR numbers it is possible to make from the list below?

10    20    30    40    50    60    70    80    90    100

#10TimesTable

The Target Challenge

Can you arrive at 217 by inserting 3711 and 14 into the gaps on each line?

  •  ◯×◯×◯–◯ = 217
  •  ◯×◯+◯²×◯ = 217
  •  ◯×(◯+◯+1)+◯ = 217
  •  ◯×(◯+◯–1)–◯ = 217

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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