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Mathematical Puzzles 


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Puzzle 17 


Starting in the bottom left corner and moving either up or right, adding up the numbers along the way, what is the largest sum which can be made?

52541 76173 59415 23832 31496

Note: this puzzle is not interactive, and the numbers cannot be clicked.

Puzzle Copyright © Kevin Stone

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Puzzle 18 


Complete this grid with the digits 1 to 6 to make the sum correct.

Perform each mathematical operation in the order shown, from left to right, so 1 + 2 x 3 is treated as (1 + 2) x 3 = 9.

Consecutive numbers are not next to each other, there is no ÷ 1, and at no point is a decimal or a fraction used.

?+?-?x?/?x?=50

Note: this puzzle is not interactive, and the squares cannot be clicked.

Puzzle Copyright © Kevin Stone

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Puzzle 19 


Farmer Stone is quite an eccentric dairy farmer.

He originally had a total of 54 gallons of milk in three churns, and he wanted to make sure each churn contained 18 gallons of milk.

In order to do this, he did the following:

First, he poured 1/4 of the first churn into the second churn.
He then poured 1/2 of the second churn into the third churn.
Finally, he poured 1/3 of the third churn into the first churn.
How many gallons did each churn contain before Farmer Stone started pouring?

Puzzle Copyright © Kevin Stone

workings hint answer print

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Puzzle 20 


Last week I decided to cycle to my Grandparents's house.

On the 1st day, I cycled half of the distance.

On the 2nd day, I cycled one half of the remaining distance.

On the 3rd day, I cycled three quarters of the remaining distance.

On the 4th day, I cycled 10 miles.

On the 5th day, I cycled two thirds of the remaining distance.

On the final day, I cycled the remaining 5 miles.

How far is it to my Grandparent's house?

Puzzle Copyright © Kevin Stone

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