DAY/DYDD 143:

T he Main Challenge

Start with the number 50, then:

+27  42   divide by 5  ×4   +50%   two-thirds of this   ÷7   =    ?

What is your final answer to this 7-step number trail?

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 contain the following fourteen numbers:

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

What is the difference between the highest odd number and lowest multiple of 11?

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 FIVE ways of making 143 when using Lagrange’s Theorem. Can you find them?

The Mathematically Possible Challenge

Using the three digits 2, 6 and 9 once each, with + – × ÷ available, which are the SIX numbers it is possible to make from the list below?

6    12    18    24    30    36    42    48    54    60

#6TimesTable

The Target Challenge

Can you arrive at 143 by inserting 3, 4, 7 and 10 into the gaps on each line?

  •  (◯+◯)×(◯+◯) = 143
  •  ◯³–◯²×double(◯–◯) = 143

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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