Each month, a new set of puzzles will be posted. Come back next month for the solutions and a new set of puzzles, or subscribe to have them sent directly to you.
ARITH-maze puzzle
In the following ARITH-maze puzzle, go to ‘START’ and proceed through this numeric maze, following instructions as provided, until you get to the ‘FINISH’ box. What number did you finish with?
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Last month's solutions
MIND-Xpander maths problems
PUZZLE A
The second of five consecutive multiples of 11 is removed. The other four are then added together to give 715. What is the lowest multiple of the remaining four? There are two possible solutions.
Solution one
Let x be the unknown multiplier to the multiples.
11x + 0 + 33x + 44x + 55x = 715
143x = 715
x = 5 Checking: 55 + 0 + 165 + 220 + 275 = 715
Solution two
Let x be the lowest multiple multiplier.
11(x) + 0 + 11(x+2) + 11(x+3) + 11(x+4) = 715
11x + 0 + (11x + 22) + (11x + 33) + (11x + 44) = 715
44x + 99 = 715
44x = 616
x = 14
Checking: 154 + 0 + 176 + 187 + 198 = 715
PUZZLE B
Simplify the following expression: √5 x √15 x √10
Solution
PRIME Numbers puzzle
Throwing 3 darts at the following dartboard and all 3 throws must hit a number on the dartboard, what are your chances that their total will equal a Prime Number? Numbers can be used more than once.
1-in-27, There are 3 possible combinations for each of the 3 darts or 27 (3³) different, equally likely combinations.
The only combination that gives you a Prime Number is 1+1+1 = 3. All other combinations are divisible by 3.
HEXAGON-numeric puzzle (Level 1)
Never seend a flow chart puzzle before. Enjoyable.
I am glad you enjoy my flow chart puzzle. There will be more in my next puzzle book which should be out through Amazon later this year….Gordon Burgin