A couple of us were in the pub having a quiet pint after a hard day's question writing, and we noticed two of our colleagues playing cards. After they had finished playing they joined us for another drink.

Curious to know how their games had gone we asked them, and we found out that they had played five games. Oddly enough, they had both won the same number of games, and as you might or might not know, a draw is not possible in cribbage.

How is this possible?

As usual you can post your suggested answers as a comment on this website, reply to the post on Facebook, or retweet or reply on Twitter @quizmastershop.

Answers at 9.00 on Monday

]]>Sunflower & I won awards for being the best decorated bar in Cardiff, and it was a spectacular backdrop for our quizzes.

The quiz nights quickly gained a loyal following, with one person travelling from Aberdare (over 60 miles round trip) to join his team. Another likened the quizzes to cryptic crosswords, compared with other quizzes in the area.

And then COVID-19!

Sunflower & I had to shut its doors, and with no outdoor space it found it impossible to reopen, even as restrictions eased slightly. Finally Seb and Lukasz realised that they were not going to be able to reopen, and they have moved to Spain.

Sunflower & I is no more.

We're hoping that another hostelry will be able to accommodate the "Best Quiz in Cardiff Bay", but nowhere will replace Sunflower & I.

]]>One of them was bemoaning the fact that she had no idea what day it was, and one of her companions called Alf said "It's Friday". Immediately he was contradicted by Ben who said "No, it's Saturday".

Somewhat confused the first person then asked "What day will it be tomorrow?" Quick as a flash Ben said "Monday" and Alf said "Tuesday". In truth those two never agree on anything.

This caused a bit of irritation, as you can imagine, and the next question was "surely you can agree what day it was yesterday". But no, Alf said "Wednesday" and Ben said "Thursday".

More confused than ever the questioner returned morosely to her glass of white wine.

The fourth member of the group had remained silent throughout this exchange, but at this point she decided to intervene. She said that oddly enough both Alf and Ben had given one correct answer and two incorrect answers.

So what day is it today?

Alf's three answers imply that the conversation took place on one of Friday, Monday or Thursday. Ben's three answers imply that the conversation took place on one of Saturday, Sunday or Friday.

As only one day is common between the two the conversation took place on Friday.

However, the piece states clearly that the conversation took place last night, and asks what day it is today.

Today is Saturday.

]]>One of them was bemoaning the fact that she had no idea what day it was, and one of her companions called Alf said "It's Friday". Immediately he was contradicted by Ben who said "No, it's Saturday".

Somewhat confused the first person then asked "What day will it be tomorrow?" Quick as a flash Ben said "Monday" and Alf said "Tuesday". In truth those two never agree on anything.

This caused a bit of irritation, as you can imagine, and the next question was "surely you can agree what day it was yesterday". But no, Alf said "Wednesday" and Ben said "Thursday".

More confused than ever the questioner returned morosely to her glass of white wine.

The fourth member of the group had remained silent throughout this exchange, but at this point she decided to intervene. She said that oddly enough both Alf and Ben had given one correct answer and two incorrect answers.

So what day is it today?

As usual you can post your suggested answers as a comment on this website, reply to the post on Facebook, or retweet or reply on Twitter @quizmastershop.

Answers at 9.00 on Monday

]]>These shadowy types always had a sneaky check on the customers in the bar, before going to a door that leads to a back room. After another glance round the room they would knock, the door would open, a short exchange of words took place, and the person would be let in.

Of course, being quizzers we were curious about what was going on. So one evening on the correct day we stationed ourselves at the nearest table to the door, and waited.

Sure enough, a visitor arrived and knocked on the door. Once the door was open we heard the exchange "Twelve" with the response of "Six". Ah ha thought we, a secret code - can we work it out?

Shortly after a second visitor arrived and the exchange went "Six" followed by "Three".

At this point one of our group felt that he had cracked the code, and we were all very interested in what was happening in the back room. He knocked on the door and heard "Ten". Confidently replying "Five" the door was slammed in his face.

Thinking that our cover was blown we finished our drinks and left. And within a week the Jolly Quizmaster was shut. However, normal service will be resumed soon, we hope, and we want to try again.

What number should we have responded with, and what is the pattern of the code?

From the first two exchanges the obvious pattern is to halve the first number, but our attempt disproves that theory. There is another pattern of responding with the number of letters in the first number - six letters in Twelve and three letters in Six. This isn't disproved by our attempt, so we should have responded "Three" (the number of letters in Ten).

It might be prudent to listen to a couple more exchanges before testing the code for real.

Or we could just ask the landlord what is going on in the back room!

]]>These shadowy types always had a sneaky check on the customers in the bar, before going to a door that leads to a back room. After another glance round the room they would knock, the door would open, a short exchange of words took place, and the person would be let in.

Of course, being quizzers we were curious about what was going on. So one evening on the correct day we stationed ourselves at the nearest table to the door, and waited.

Sure enough, a visitor arrived and knocked on the door. Once the door was open we heard the exchange "Twelve" with the response of "Six". Ah ha thought we, a secret code - can we work it out?

Shortly after a second visitor arrived and the exchange went "Six" followed by "Three".

At this point one of our group felt that he had cracked the code, and we were all very interested in what was happening in the back room. He knocked on the door and heard "Ten". Confidently replying "Five" the door was slammed in his face.

Thinking that our cover was blown we finished our drinks and left. And within a week the Jolly Quizmaster was shut. However, normal service will be resumed soon, we hope, and we want to try again.

What number should we have responded with, and what is the pattern of the code?

As usual you can post your suggested answers as a comment on this website, reply to the post on Facebook, or retweet or reply on Twitter @quizmastershop.

Answers at 9.00 on Monday

]]>**Note**: Local Lockdown rules are changing weekly

Sunday 2nd - The Inn on the Green 20.00

Tuesday 4th - Not Just An Udder Quiz (Online) 19.40

Wednesday 5th - Robbie's Quarantine Quiz (Online) 20.00

Sunday 9th - The Inn on the Green 20.00

Tuesday 11th - Not Just An Udder Quiz (Online) 19.40

Sunday 16th - The Inn on the Green 20.00

Tuesday 18th - Not Just An Udder Quiz (Online) 19.40

Wednesday 19th - Robbie's Quarantine Quiz (Online) 20.00

Sunday 23rd - The Inn on the Green 20.00

Tuesday 25th - Not Just An Udder Quiz (Online) 19.40

Sunday 30th - The Inn on the Green 20.00

]]>A man is living on an island covered in dry woods and grassland, and the island is a very close approximation to a circle. One day, with the wind blowing from the west a fire starts at the extreme west end of the island (shall we say it was caused by lightning) and soon a raging inferno is moving eastwards across the island. There is nothing to stop the fire spreading across the whole island.

The man has no means of extinguishing the blaze, can't jump into the sea (either very high cliffs with rocks at the bottom or sharks, depending on who is recalling this puzzle), has no boat, and no place like a cave to shelter.

How does he survive the fire?

Leaving aside the questions relating to how he is living on the island under these circumstances, he does have a means of escape.

He makes a firebrand from a piece of dry wood and grasses, ignites it from the leading edge of the flames, walks quickly to within 100 metres of the east end of the island, and starts another fire. As this second fire burns towards the end of the island he takes refuge there from the original fire.

]]>A man is living on an island covered in dry woods and grassland, and the island is a very close approximation to a circle. One day, with the wind blowing from the west a fire starts at the extreme west end of the island (shall we say it was caused by lightning) and soon a raging inferno is moving eastwards across the island. There is nothing to stop the fire spreading across the whole island.

The man has no means of extinguishing the blaze, can't jump into the sea (either very high cliffs with rocks at the bottom or sharks, depending on who is recalling this puzzle), has no boat, and no place like a cave to shelter.

How does he survive the fire?

Answers at 9.00 on Monday

]]>As before you have to use the nine numbers in order; that is, you have to construct a sum starting with the number one and finishing with the number nine, and using just the four common arithmetic operators (plus, minus, multiply and divide), and no brackets. NB you do not have to use all four, but you can't use any others.

For example, you could have

1 x 2 + 3 + 4 x 5 - 6 + 7 + 8 + 9

but that equal 43, not 100.

So, can you make a sum of this form that equals 100?

The answer is

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 x 9

Did you work it out?

]]>As before you have to use the nine numbers in order; that is, you have to construct a sum starting with the number one and finishing with the number nine, and using just the four common arithmetic operators (plus, minus, multiply and divide), and no brackets. NB you do not have to use all four, but you can't use any others.

For example, you could have

1 x 2 + 3 + 4 x 5 - 6 + 7 + 8 + 9

but that equal 43, not 100.

So, can you make a sum of this form that equals 100?

Answers at 9.00 on Monday

]]>You are making a cube with completely opaque sides - there is no way to see through any of them. The cube can be any size that you want.

Once completed how do you position yourself and the cube so that you can see as many of the faces of the cube as possible?

To solve this you don't need to think outside the box . . . you need to think inside the box!

Stand inside the cube in one corner and you can see all six sides.

]]>Make sure that you give the customers plenty of opportunities to buy their refreshments. This means structuring the quiz so that there are gaps to get to the bar.

A good format is two halves:

- Have a picture round for each half. The first one should be out a while before the quiz starts, to entice waverers – if a group has looked at the pictures and knows quite a few, they might well stay thinking they’re off to a good start. The second one should go out at the start of the interval to keep the quiz going.
- Three rounds in each half is probably sufficient, which means the quiz will last about two hours. This will leave plenty of time after the quiz for contestants to have another drink and “debate” the quiz!

You are making a cube with completely opaque sides - there is no way to see through any of them. The cube can be any size that you want.

Once completed how do you position yourself and the cube so that you can see as many of the faces of the cube as possible?

Answers at 9.00 on Monday

]]>You are sitting by a table wearing a blindfold, and you are told that on the table are a large number of one pound coins, perhaps hundreds. You are also told that exactly 20 of these coins are tails up, and all the rest of them are heads up.

You can touch the coins, but it is not possible to determine which side of a coin is heads and which side is tails. You can move the coins around as much as you want, and you can turn over as many coins as you want. But you will remain blindfolded throughout the task.

Your problem is to put the coins into two piles with both piles containing exactly the same number of coins that are tails up. The number of coins in the two piles that are heads up is irrelevant.

As we said, the solution is very easy and elegant, once you have spotted it.

Move 20 coins to a separate pile and turn over all 20 of them. And you have solved it.

Say all 20 coins are heads up, meaning the 20 coins that are tails up are in the other pile. Once you have turned over the 20 coins there are 20 coins that are tails up in both piles.

If 19 of your coins are heads up and one is tails up, that leaves 19 coins that are tails up in the other pile. Turn over your pile and there are 19 tails-up coins in both piles.

And if you happened by some fluke to select the 20 coins that are tails up, after turning them over there are no tails-up coins in either pile.

It always works!

]]>You are sitting by a table wearing a blindfold, and you are told that on the table are a large number of one pound coins, perhaps hundreds. You are also told that exactly 20 of these coins are tails up, and all the rest of them are heads up.

You can touch the coins, but it is not possible to determine which side of a coin is heads and which side is tails. You can move the coins around as much as you want, and you can turn over as many coins as you want. But you will remain blindfolded throughout the task.

Your problem is to put the coins into two piles with both piles containing exactly the same number of coins that are tails up. The number of coins in the two piles that are heads up is irrelevant.

Answers at 9.00 on Monday

]]>**Note**: Local Lockdown rules are changing weekly

Monday 5th - Hemingways 20.00

Tuesday 6th - Not Just An Udder Quiz (Online) 19.40

Wednesday 7th - Robbie's Quarantine Quiz (Online) 20.00

Monday 12th - Hemingways 20.00** Cancelled**

Tuesday 13th - Not Just An Udder Quiz (Online) 19.40

Wednesday 14th - Robbie's Quarantine Quiz (Online) 20.00

Monday 19th - Hemingways 20.00** Cancelled**

Tuesday 20th - Not Just An Udder Quiz (Online) 19.40

Monday 26th - Hemingways 20.00** Cancelled**

Tuesday 27th - Not Just An Udder Quiz (Online) 19.40

Wednesday 28th - Robbie's Quarantine Quiz (Online) 20.00

]]>We were sitting in the Jolly Quizmaster, when we were allowed to go, and a man came into the bar making a tremendous noise. Everyone stopped talking, drinking, eating, whatever, and turned to see what was going on. A dozen eyes staring!

So how many people were in the bar?

Assuming that no one in the bar has lost an eye at any stage, a dozen eyes is six people, plus the man who is making all the noise gives seven.

]]>We were sitting in the Jolly Quizmaster, when we were allowed to go, and a man came into the bar making a tremendous noise. Everyone stopped talking, drinking, eating, whatever, and turned to see what was going on. A dozen eyes staring!

So how many people were in the bar?

Answers at 9.00 on Monday

]]>Teams get four points for winning and two for a draw, with two sources of extra (or bonus) points. To reward attacking, try-scoring rugby, a team that scores four or more tries in a game gets a Try Bonus Point. And to keep matches alive, a team that loses by seven points or fewer gets a Losing Bonus Point (a team behind by, say, ten points can get a bonus point if they score, so will have something to play for even if the match is lost).

One of the tournaments that resisted bonus points for the longest was the Six Nations, and many people suspect that this was because of the very real possibility that a team could win all five of their games (the fabled Grand Slam), but not win the Championship.

If the team winning all five games got no bonus points, and a team winning four games picked up enough bonus points, the Grand Slam winners would come second.

To get around this little "difficulty" the organisers introduced a Grand Slam bonus of three points. That is, any team winning all five games gets three extra points.

So the puzzle this week is to work out what is the highest number of league points a team can get and still finish second.

The temptation here is to assume that this will be in a situation where one team gets the Grand Slam and the second place team wins four games, but picks up six bonus points (five try-scoring and one losing). In this case the second team would get four lots of four points for the wins (16) and six bonus points, for a total of 22.

Wins | Draws | Loses | Try BP | Losing BP | GS BP | Total | |

1 | 5 | 0 | 0 | 0 | 0 | 3 | 23 |

2 | 4 | 0 | 1 | 5 | 1 | 0 | 22 |

However, if both the top two teams win four games and draw the game between them, they will each get four lots of four for the wins, and two for the draw, making 18. Then they can also both pick up five try-scoring bonus points, and each get a total of 23 points. With both teams level the title would be decided by points difference, that is points scored minus points conceded.

Wins | Draws | Loses | Try BP | Losing BP | GS BP | Total | |

1 | 4 | 1 | 0 | 5 | 0 | 0 | 23 |

2 | 4 | 1 | 0 | 5 | 0 | 0 | 23 |

So the answer is 23.

]]>Teams get four points for winning and two for a draw, with two sources of extra (or bonus) points. To reward attacking, try-scoring rugby, a team that scores four or more tries in a game gets a Try Bonus Point. And to keep matches alive, a team that loses by seven points or fewer gets a Losing Bonus Point (a team behind by, say, ten points can get a bonus point if they score, so will have something to play for even if the match is lost).

One of the tournaments that resisted bonus points for the longest was the Six Nations, and many people suspect that this was because of the very real possibility that a team could win all five of their games (the fabled Grand Slam), but not win the Championship.

If the team winning all five games got no bonus points, and a team winning four games picked up enough bonus points, the Grand Slam winners would come second.

To get around this little "difficulty" the organisers introduced a Grand Slam bonus of three points. That is, any team winning all five games gets three extra points.

So the puzzle this week is to work out what is the highest number of league points a team can get and still finish second.

Answers at 9.00 on Monday

]]>He remarked to the butcher that his prices were quite high, and the butcher agreed. "The wholesale prices are high at the moment, as importing lamb is quite difficult, but I'm hoping the prices will drop soon. If the wholesaler would give me five more legs for £100, I could drop my price by £1.50 and still maintain the same profit margin."

He returned the next week, and true to his word the butcher had reduced the price of a leg of lamb by £1.50. However, our colleague still felt this to be a bit pricey and asked if prices would be dropping further. "Well" replied the butcher, "I think that they might be coming down over the next week. Now if I could get another five legs for my £100 I could drop my price by a further £1 and still retain the same margin."

So the puzzle is to find how much is the butcher charging for a leg of lamb, and what is his profit margin?

Last week the butcher bought x - 5 legs of lamb for £100 and sold them at y% profit. This week he has bought x legs of lamb for £100 and retained his profit margin. And he hopes that next week he will buy x + 5 legs of lamb for £100, still selling at y% profit.

Last week each leg of lamb cost

$$ \frac{100}{x - 5} $$

and sold for

$$ \frac{100 + y}{x - 5} $$

This week each leg of lamb cost

$$ \frac{100}{x} $$

and sold for

$$ \frac{100 + y}{x} $$

And next week each leg of lamb should cost

$$ \frac{100}{x + 5} $$

and sell for

$$ \frac{100 + y}{x + 5} $$

If we subtract this week's selling price from last week's selling price the difference is £1.50 (or 3/2), and if we subtract next week's selling price from this week's selling price the difference is £1. So that:

$$ (a) \frac{100 + y}{x - 5} - \frac{100 + y}{x} = \frac{3}{2} $$

$$ (b) \frac{100 + y}{x} - \frac{100 + y}{x + 5} = 1 $$

From (b)

$$ (100 + y)(\frac{1}{x} - \frac{1}{x + 5}) = 1 $$

$$ 100 + y = \frac{x (x + 5)}{5} $$

And from (a)

$$ \frac{x (x + 5)}{5 (x - 5)} - \frac{x (x + 5)}{5x} = \frac{3}{2} $$

$$ 10x ^ 2 + 50x = 15x ^ 3 - 75x $$

So x = 25

and then

$$ 100 + y = \frac{25 (25 + 5)}{5} $$

So y = 50

Last week the butcher bought 20 legs of lamb for £100 (£5 each) and sold them for £7.50. This week he bought 25 legs of lamb for £100 (£4 each) and sold them for £6. And he hopes to buy 30 legs of lamb for £100 next week (£3.33 each) and sell them for £5.

]]>He remarked to the butcher that his prices were quite high, and the butcher agreed. "The wholesale prices are high at the moment, as importing lamb is quite difficult, but I'm hoping the prices will drop soon. If the wholesaler would give me five more legs for £100, I could drop my price by £1.50 and still maintain the same profit margin."

He returned the next week, and true to his word the butcher had reduced the price of a leg of lamb by £1.50. However, our colleague still felt this to be a bit pricey and asked if prices would be dropping further. "Well" replied the butcher, "I think that they might be coming down over the next week. Now if I could get another five legs for my £100 I could drop my price by a further £1 and still retain the same margin."

So the puzzle is to find how much is the butcher charging for a leg of lamb, and what is his profit margin?

Answers at 9.00 on Monday

]]>First, you have to measure exactly four pints of water in a jug. The complication is that you have only two jugs; one that holds three pints and another that holds five pints. Neither jug has any markings, and both are irregular enough in shape that you can't estimate what proportion of the jug is full. That is, you can't work out what four-fifths of the five-pint jug looks like.

You can fill either jug from a tap as many times as you want.

So, how do you get four pints of water in the larger jug?

Here is one way:

- Fill the five-pint jug from the tap,
- Fill the three-pint jug from the five-pint jug (two pints remaining)
- Empty the three-pint jug
- Pour the two pints from the five-pint jug into the three-pint jug
- Fill the five-pint jug from the tap
- Pour one pint from the five-pint jug into the three-pint jug (ie fill up the three-pint jug from two pints to three pints)
- There are four pints in the five-pint jug

And now to the twist. In this part of the puzzle the five-pint jug is too large to go under the tap, so you can only put water in the five-pint jug by pouring it from the three-pint jug.

Again, how do you get four pints of water in the big jug?

Here is one way:

- Fill the three-pint jug from the tap
- Pour the three pints into the five-pint jug
- Fill the three-pint jug from the tap
- Pour two pints from the three-pint jug into the five-pint jug (ie fill up the five-pint jug from three pints to five pints, with one pint left in the three-pint jug)
- Empty the five-pint jug
- Pour the remaining one pint from the three-pint jug to the five-pint jug
- Fill the three-pint jug from the tap
- Pour the three pints from the three-pint jug to the five-pint jug
- There are four pints in the five-pint jug

First, you have to measure exactly four pints of water in a jug. The complication is that you have only two jugs; one that holds three pints and another that holds five pints. Neither jug has any markings, and both are irregular enough in shape that you can't estimate what proportion of the jug is full. That is, you can't work out what four-fifths of the five-pint jug looks like.

You can fill either jug from a tap as many times as you want.

So, how do you get four pints of water in the larger jug?

And now to the twist. In this part of the puzzle the five-pint jug is too large to go under the tap, so you can only put water in the five-pint jug by pouring it from the three-pint jug.

Again, how do you get four pints of water in the big jug?

Answers at 9.00 on Monday

]]>**Note**: Local Lockdown rules are changing weekly

Monday 1st - Hemingways 20.00

Tuesday 2nd - Not Just An Udder Quiz (Online) 19.40

Wednesday 3rd - Robbie's Quarantine Quiz (Online) 20.00

Thursday 4th - Frank Paul (Online) 20.00

Sunday 7th - Angus Walker (Online) 19.00

Monday 8th - Hemingways 20.00

Tuesday 9th - Not Just An Udder Quiz (Online) 19.40

Monday 15th - Hemingways 20.00

Tuesday 16th - Not Just An Udder Quiz (Online) 19.40

Wednesday 17th - Robbie's Quarantine Quiz (Online) 20.00

Sunday 21st - Angus Walker (Online) 19.00

Monday 22nd - Hemingways 20.00

Tuesday 23rd - Not Just An Udder Quiz (Online) 19.40

Monday 29th - Hemingways 20.00

Tuesday 30th - Not Just An Udder Quiz (Online) 19.40

]]>Regardless of how you describe it, the challenge this week is to cut a doughnut into as many pieces as possible using only three straight cuts. The pieces do not have to be the same size or the same shape; you just have to get as many as you can.

How many pieces can you produce?

No matter how many times you twist and turn the doughnut, the largest number of pieces that you can get with three straight cuts is nine. One of the ways of achieving this is illustrated below.

Did you work it out?

]]>Regardless of how you describe it, the challenge this week is to cut a doughnut into as many pieces as possible using only three straight cuts. The pieces do not have to be the same size or the same shape; you just have to get as many as you can.

How many pieces can you produce?

Answers at 9.00 on Monday

]]>One of the Quiz Master Shop question writers went on holiday to a secluded seaside village, and returned with a very neatly trimmed beard. He had visited the barber who was extremely good, and in the manner of these things they had fallen into conversation.

Oddly, there were no bearded men in the village, and the barber shaved every man who didn't shave himself.

So, who shaves the barber.

At first this seems like a paradox; if the barber doesn't shave himself he must be shaved by the barber, and if the barber does shave himself he must be someone who isn't shaved by the barber.

Except if the barber is a woman

]]>One of the Quiz Master Shop question writers went on holiday to a secluded seaside village, and returned with a very neatly trimmed beard. He had visited the barber who was extremely good, and in the manner of these things they had fallen into conversation.

Oddly, there were no bearded men in the village, and the barber shaved every man who didn't shave himself.

So, who shaves the barber.

Answers at 9.00 on Monday

]]>