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Maths Puzzles


Difficulty: Easy

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Puzzle 1

CalculatorWithin the BrainBashers school, the science department has three disciplines.

In total, 280 students study chemistry, 254 students study physics and 280 students study biology.

97 students study both chemistry and physics, 138 students study both physics and biology, 152 students study both chemistry and biology.

73 students study all three disciplines.

Can you determine how many students there are in the science department? The answer is well below 814.

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[Ref: ZZYU] © Kevin Stone 



Difficulty: Medium

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Puzzle 2

What value of * makes the following correct:

Puzzle Image

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[Ref: ZWPF] © Kevin Stone 



Difficulty: Easy

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Puzzle 3

Starting in the bottom left corner and moving either up or right, one square at a time, adding up the numbers along the way, what is the largest sum which can be made once you have reached the top right corner?

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[Ref: ZNGR] © Kevin Stone 



Difficulty: Medium

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Puzzle 4

CalculatorWhat 5 digit number am I thinking of.

  • It has two prime digits.
  • Digit 3 is the highest digit.
  • Digit 2 is lowest digit.
  • Digit 1 is higher than the sum of digits 4 and 5.
  • Digit 5 is half of digit 4.
  • Digit 1 is one smaller than digit 3.
  • Digit 5 is between digit 2 and digit 1
  • There are no duplicates and the digit 0 doesn't appear.
Don't forget that 1 isn't prime.

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[Ref: ZVHE] © Kevin Stone 



Difficulty: Easy

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Puzzle 5

CalculatorDaft Dave, our local DIY expert, is renovating the local hospital.

He has to number each of the rooms in the hospital with plastic numbers.

However, he has run out of the number 9.

How many 9's must Dave buy in order to number all 1,000 rooms?

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[Ref: ZRQK] © Kevin Stone 


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