day/dydd 250 at

T he Main Challenge

The following clues are given to help you find a particular number:

  • I am a 2-digit number
  • my two digits have a difference of one
  • I am a multiple of 7
  • the number immediately below me is a prime number

Who am I?

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 1st & 4th rows of the playing board contain the following fourteen numbers:

2   3   9   10   14   15   22   32   35   40   44   54   60   72

How many multiples of 4 are listed?

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 SEVENTEEN different ways to make 250 when using Lagrange’s Theorem. How many can you find?

The Mathematically Possible Challenge

Using 58 and 11 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

4    8    12    16    20    24    28    32    36    40


The Target Challenge

Can you arrive at 250 by inserting 5, 10, 15, 20 and 25 into the gaps below?

  •  ◯×◯–(◯²+◯+◯) = 250

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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