Monthly Archives: June 2018

DAY 172:

The Main Challenge You are playing our Mathematically Possible board game and have rolled the numbers 6, 6 and 6 with your three dice.  Using these once each, with + – × and ÷ available, which SIX target numbers from 1-30 is it possible to make? The 7puzzle … Continue reading

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DAY 171:

The Main Challenge You have the same starting number and final answer, both 22.  There are 10 arithmetical steps altogether but the 10th, and final, step is missing.  If this final step involves a whole number, what should it be to make the final … Continue reading

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DAY 170:

The Main Challenge Study the seven clues and place the numbers 1-9 into the nine positions on this 3-by-3 grid. Each number should appear exactly once: x              x             … Continue reading

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DAY 169:

The Main Challenge Three unique digits from 1-9 must be used to arrive at the target number 18 when multiplying two of these numbers together and adding or subtracting the third unique number, (a×b)±c. One way of arriving at 18 is … Continue reading

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DAY 168:

The Main Challenge The two sections below both contain eight letters, A-H. Each letter has an addition calculation attached, all involving 2-digit numbers. Which is the only letter that has exactly the same answer in both sections? Section 1 D:68+18 … Continue reading

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DAY 167:

The Main Challenge Find the sum of all the numbers between 5 and 25 that are divisible by 3, 4 or 7. The 7puzzle Challenge The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from 2 up to 84. The … Continue reading

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DAY 166:

The Main Challenge This number trail has seven arithmetical steps.  Start with the number 49, then: √      add nineteen      50% of this      –2      +26      subtract nine      ÷7     … Continue reading

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DAY 165:

The Main Challenge In this Kakuro-type question, can you list the only THREE ways of making 18 when adding together five unique digits from 1-9? The 7puzzle Challenge The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from 2 up to 84. The 4th … Continue reading

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DAY 164:

The Main Challenge You have 12 balls and each ball is numbered differently from 1 to 12.  They are randomly placed into two bags so each bag contains the six numbered balls shown below: Red bag:   2, 3, 4, 6, 9, 11 … Continue reading

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DAY 163:

The Main Challenge Fill the 15 gaps below with the numbers 1-15, once each, so all five lines work out: ◯   +   ◯   =   ◯ ◯   +   ◯   =   ◯ ◯   + … Continue reading

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