10ticks Friday Puzzle

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Welcome to Ian’s Friday Puzzle! Dust off those Friday cobwebs with a little manipulation of the old grey matter. Perplexing puzzles, logical, illogical, and sometimes just plain stupid. Be prepared to be bewildered, befuddled and bedazzled!

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This week's Friday Puzzle

There are 243 players taking part in a knock-out tournament.

Each match in the tournament involves 3 players and only the winner of the match remains in the tournament − the other two players are knocked out.

How many matches are required until there is an overall winner?

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Friday Puzzle (08-10-2021)

My biscuit barrel contains jammy dodgers and chocolate digestives. 
The ratio of jammy dodgers to chocolate digestives in the barrel is 3 : 8. 
When I remove one jammy dodger the ratio changes to 1 : 3. 
How many chocolate digestives are in the basket?

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Friday Puzzle (01-10-2021)

Solve (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)2 − (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)2

by starting with something smaller and looking for patterns.

(1 + 2)2 − (1 )2      
(1 + 2 + 3)2 − (1 + 2)2   
(1 + 2 + 3 + 4)2 − (1 + 2 + 3)2  

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Friday Puzzle (24-09-2021)

card backs

Three playing cards are placed face down on a table.

Find the value of each card using these clues:

The total value of A and B is 15.

The total value of B and C is 17.

No card is a 7 or has a higher value than 9.

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Friday Puzzle (17-09-2021)

grid

Use ALL the digits from 1 – 9. No digit can be used twice.

Write a different digit in each box so the calculations are correct.

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Friday Puzzle (10-09-2021)

AB and BC are diagonals on two faces of a cube.

Cube with diagonals

What is the size of the angle ABC?   

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Friday Puzzle (23-07-2021)

Census Taker: How old are your three daughters?

Mrs. Jones: The product of their ages is 36 and the twins have red hair.

Census Taker: I’m afraid I can’t determine their ages from that …

Mrs. Jones: My youngest daughter has just woken up.

Census Taker: Oh, thanks, now I know.

How old are the three girls?

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Friday Puzzle (16-07-2021)

I pick two consecutive integers, one of which ends in a 5.

I multiply the integers together and then square the result.

What are the last two digits of my answer?

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Friday Puzzle (09-07-2021)

Simplify the equation

(x - a) × (x - b) × (x - c) × ... × (x - y) × (xz).

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Friday Puzzle (02-07-2021)

After a short holiday, three campers found they had 7 full bottles, 7 half-full bottles and 7 empty bottles of water to take home.

They decided to take an equal number of bottles each, as well as an equal weight.

How do they divide up the bottles fairly?

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