DAY/DYDD 103:

The Main Challenge

Here’s a 7-part challenge to test your basic arithmetic knowledge:

  1.  What is 56 divided by 14?
  2.  (1 + 11) + (20 – 4) = ?
  3.  Find which one of these is a factor of 14. Is it 3, 5, 7 or 10?
  4.  What is the next number?  15, 30, 45, 60, …
  5.  10,000 × 0.001 = ?
  6.  (2 + 3) – (4 – 9) = ?
  7.  What is the sum of 0.81 and 0.5?

Can you get 7 out of 7 correct?

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 2nd & 5th rows contain the following fourteen numbers:

6   7   8   16   17   21   28   48   50   55   63   64   81   84

Find THREE sets of three different numbers that have a sum of 100.

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 103 when using Lagrange’s Theorem. Can you find them?

The Mathematically Possible Challenge

Using 57 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

50    51    52    53    54    55    56    57    58    59

#NumbersIn50s

The Target Challenge

Can you arrive at 103 by inserting 1, 2, 6 and 8 into the gaps on both lines?

  •  ◯²+◯²+◯²–◯² = 103
  •  (◯+◯+◯)²–half(◯²) = 103

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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