DAY 196:

The Main Challenge

Here’s a 10-step number trail involving the four arithmetical operations, some 3-digit numbers, plus fractions and percentages.

Start with the number 2, then:

  • add three hundred and eighty
  • 292
  • +106
  • 50%
  • 1/2 of this
  • multiply by nine
  • 1/3 of this
  • 7
  • divide by seven
  • +7

What’s your answer?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 6th & 7th rows of the playing board contain the following fourteen numbers:

4   5   11   12   18   20   24   27   30   33   49   56   70   77

What is half of the highest even number?

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).

Show how you can make 196, in TEN different ways, when using Lagrange’s Theorem.

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 34 and 12 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?

1    3    6    10    15    21    28    36    45    55    66

#TriangularNumbers

The Target Challenge

Can you arrive at 196 by inserting 568 and 9 into the gaps on each line?

  •  (◯+◯)×(◯+◯) = 196
  •  (◯+◯)²+(◯×half◯) = 196
  •  (◯+◯)²–(²+half◯) = 196
  •  ◯³+◯–(◯+double◯) = 196
  •  ◯³+◯–(◯²+√◯) = 196

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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