DAY/DYDD 71:

The Main Challenge

Allocate each letter of the English alphabet a numerical value, A=1 B=2 C=3 . . . Z=26. When adding the individual letters, find the total value of these four important words:

  • KNOWLEDGE
  • HARD WORK
  • RESILIENCE
  • ATTITUDE

If these were percentage values, there is a message for students here!

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 1st & 6th rows contain the following fourteen numbers:

2   5   9   12   14   15   18   20   22   33   40   49   56   72

Which six numbers listed can each be made by adding three others from 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 TWO ways of making 71 when using Lagrange’s Theorem. Can you find both?

The Mathematically Possible Challenge

Using 46 and 12 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?

8    16    24    32    40    48    56    64    72    80

#8TimesTable

The Target Challenge

Can you arrive at 71 by inserting 3, 5, 7 and 9 into the gaps on each line?

  •  ◯×◯++ = 71
  •  ◯²+◯×◯– = 71
  •  (◯+◯)×–◯² = 71

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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