DAY 242:

The Main Challenge

If the number sequence 10 16 22 28 . . . is continued, which is the only number from the following list that will NOT appear later in the sequence?

64    70    74    76    82    88    94

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 5th & 7th rows of the playing board contain the following fourteen numbers:

4   6   7   11   16   21   24   27   30   50   70   77   81   84

How many multiples of 3 are listed above?

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 TWELVE different ways to make 242 when using Lagrange’s Theorem. How many of them can you find?

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 25 and 10 once each, with + – × ÷ available, which are the only THREE numbers it is NOT possible to make from the list below?

10    20    30    40    50    60    70    80    90    100

#10TimesTable

The Target Challenge

Can you arrive at 242 by inserting 2456 and 9 into the gaps below?

  •  (◯+◯)×(◯+◯)×√◯ = 242

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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