DAY 346:

The Main Challenge

This is a problem-solving question from a typical Eleven Plus exam many years ago. Can today’s generation solve it?

Twice one hundred and sixty-eight added to four times another number gives a total of four hundred and eighty. What is the other number?

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 4th & 7th columns contain the following fourteen numbers:

3   5   6   9   20   24   28   32   42   50   63   66   72   77

Which two numbers above, when multiplied by 7, have their answers appearing on the list?

The Factors Challenge

Which numbers below are factors of 346?

4    6    8    10    12    14    16    18    None of them

The Mathematically Possible Challenge

Using 13 and once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

5    10    15    20    25    30    35    40    45    50

#5TimesTable

The Target Challenge

Can you arrive at 346 by inserting 1, 2, 3, 4 and 5 into the gaps below?

  •  ◯³×◯(+)²–² = 346

Answers can be found here.

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