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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
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.
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
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
Simplify the following expression: √5 x √15 x √10
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)