Presentation on theme: "50 More Puzzles The answer for most puzzles is in the notes section of each slide. You will need to scroll down to find it. For a few puzzles, the answer."— Presentation transcript:
1 50 More PuzzlesThe answer for most puzzles is in the notes section of each slide. You will need to scroll down to find it. For a few puzzles, the answer is on the next slide (this is indicated). Pictures are included on most slides. Some will help, others will lead you astray!
2 The puzzles are in 3 sections: Logic / Lateral thinking Maths There is a points rating for each puzzle and each puzzle is numbered.The puzzles are in 3 sections:Logic / Lateral thinkingMathsMaths Investigations
4 1 point1James is in a balloon off the coast of Norfolk. He drops an empty plastic Coke bottle, an empty glass wine bottle and a full glass whisky bottle. Which will hit the ground first?None – they will all hit water.
5 2 points2There are 10 pigeons in the large ash tree outside Farmer Giles’ house. He shoots 1/5 of them. How many are left on the tree?None because the rest fly off.
6 3 points3A man lives on his own. One day, he switches off the light, leaves his house and ten people die. Explain.He lives in a lighthouse. As the light was switched off, a ship was wrecked on the rocks.
7 Which side of a cat has more fur? 43 pointsWhich side of a cat has more fur?The outside
8 2 points5Jake is hiding under the dining room table. It is his sister’s party. He counts 12 legs. Ten minutes later, he is alone in the room yet he can still see 4 legs. Explain.He can see the 4 legs of the table.
9 1 point6If you are running in a race and overtake the person who is in second place, what place will you be in?second
10 If you overtake the person in last place, what place will you be in? 1 point7If you overtake the person in last place, what place will you be in?You can’t overtake the person in last place!
11 How many f’s are there in the following sentence? 2 points8How many f’s are there in the following sentence?Finished files are the result of years of scientific study combined with the experience of years.6
12 How many houses are there on my side of the road? 2 points9My house is the 6th house from the north end of the road and the 5th house from the south end of the road.How many houses are there on my side of the road?10
13 3 points10Can you name 3 days in row without using the words: Tuesday, Thursday or Saturday?Yesterday, today tomorrow
14 2 points11You have nine sticks. Without cutting any in half how can you make ten? Answer on next slide.
16 James drives his car at 40 mph from Sheffield to London. 2 points12James drives his car at 40 mph from Sheffield to London.Driving the other way from London, Mary speeds at 80 mph towards Sheffield.It is 160 miles from Sheffield to London.Who will be further away from Sheffield when they meet?Nobody. They will both be the same distance from Sheffield.
17 2 points13A man who is mute goes into a shop. He wants to buy a toothbrush. By miming the action of brushing his teeth, he lets the shopkeeper know what he needs.A blind person walks in next. She needs some toilet rolls. How does she communicate this to the shopkeeper?She asks for it using her voice.
19 2 points14There are seven tea cups sitting on a table. One falls off. How many are left?Answer 6 not 69 as it is 7 tea cups not 70 cups.
20 3 points15John already has 9 points on his driving license. On Wednesday, he went the wrong way up a one way street, failed to see the red lights as he passed through before speeding off towards his home. He was seen by 3 policemen and a traffic warden yet was not stopped.Explain.He was on foot.
21 3 points16A nurse gives you 7 pills to take. You have to take one every half hour. How long will it be before you have eaten them all?3 hours. eg 1:00, 1:30, 2:00, 2:30, 3:00, 3:30, 4:00
22 What is the next letter in the sequence? F M A M J J A S 3 points17What is the next letter in the sequence?F M A M J J A SO for October
23 What is the next letter in this sequence? O T T F F S S 5 points18What is the next letter in this sequence?O T T F F S SE for eight
24 6 points19You are on an island. It has steep cliffs preventing you from jumping into the sea. There is a fire on the west of the island and the wind is blowing it towards you. You have a box of matches in your pocket. What can you do to survive?Light a fire and then retreat west. As the wind blows the fire to the east, an area of burnt ground will be left which you can go into and which the larger fire will not be able to cross.Use your matches to start a smaller fire in the middle of the island. When the larger fire reaches the burnt out bit, it won’t be able to cross it.
25 Look at this snowy scene. 20Look at this snowy scene.Continued onnext slide.
26 Look at the fluffy clouds in this picture. 20Look at the fluffy clouds in this picture.Continued onnext slide.
27 Look at this plain paper. 20Look at this plain paper.Continued onnext slidelandscapeportrait
29 invite How can you remove 4 letters from the word invite to leave 6? 8 points21How can you remove 4 letters from the word invite to leave 6?inviteRemove the first 2 and last 2 letters to leave vi (6 in Roman numerals)
30 What 4 letter word reads the same forwards, backwards and upside down? 8 points22What 4 letter word reads the same forwards, backwards and upside down?Answer on next slide
32 10 points23There are 4 men on a sinking ship. A rickety bridge separates them from safety. The bridge will only take 2 people at a time. Alf would take one minute to cross the bridge, Bert 2 minutes, Cedric 5 minutes and Dominic 10 minutes. It is night and they have one torch. This has to be taken across the bridge and returned for anyone else crossing the bridge. It cannot be thrown. If 2 people cross a bridge, they travel at the speed of the slowest person.In 17 minutes the ship will sink and the bridge will collapse with it. How can they get to safety in this time?Answer on next slide.
33 23Who goes whereTime takenTotal time takenAlf & Bert cross2 minsAlf returns with torch1 min3 minsCedric & Dominic cross10 mins13 minsBert returns with torch15 minsAlf & Bert cross one last time17 mins
35 2 points24Mary has 22 sweets. She gives her friends all but 10 of them. How many does she have left?10
36 3 points25Do this mental arithmetic: start with 1000, add 40. Then add another 1000 and 30. Add 1000 more followed by 20. Finally add 1000 followed by 10. What do you get?4100
37 3 points26I have some hamsters and some cages. If I put 1 hamster per cage, I have a hamster without a cage. If I put 2 hamsters per cage, I have an empty cage. How many hamsters and cages have I got?4 hamsters and 3 cages
38 4 points27Joe counted the number of peanuts he ate every day for a week. He worked out that he had eaten an average of 13 peanuts per day.How many peanuts must he eat on the 8th day to bring his average down to exactly 12?57 x 13 =918 x 12 = 9696 – 91 = 5
39 4 points28Callum spreads his money out on the table. It is all in 5p pieces. Half of his money has heads facing up. He turns over 5 tails. Now ¾ of the money has heads facing up. How much money does he have?Jessica has her money in 10p pieces. ⅓ of it has heads facing up. She turns over one coin. ¼ now has heads facing up. How much money does she have?Carol has her money in 2p pieces. ½ is heads up. She turns 4 coins over and finds that ⅓ of her money now has heads facing up. How much money does she have?Callum 20 x 5p = £1Jessica 12 x 10p = £1.20Carol 24 x 2p = 48p
40 5 points29Bert has some shells. If he sorts them into 2 equal piles, he has 1 left over. In fact if he sorts them into 3 piles, 4 piles or 6 piles, he still has 1 left over. When he sorts them into 5 piles, he has 4 left over. Finally he finds that he has none remaining when he sorts them into 7 equal piles. How many shells does he have?49
41 5 points30How can you put 15 sheep into 4 pens and have an odd number of sheep in each pen?Put 5 sheep each in 3 pens then put a large pen round the 3 smaller pens.
42 5 points31A train is 1km in length. It is travelling at 60km/hr. It enters a tunnel which is 1km in length. How long will it take for the whole train to pass through the tunnel?2 minutes
43 Boat 1 returns every 2 hours. Boat 2 returns every 3 hours. 5 points32Four boats continuously leave the harbour to take passengers on fishing trips.Boat 1 returns every 2 hours.Boat 2 returns every 3 hours.Boat 3 returns every 4 hours.Boat 4 returns every 5 hours.If they all leave the harbour together, after how many hours will they first be all together in the harbour again?60 hours
44 How many cards do they each have? 6 points33Harry, Bert and Fred collect football cards. Together they have 450 cards. Harry has 110 more than Bert who has 50 more than Fred.How many cards do they each have?Fred 80Bert 130Harry 240
45 How many questions did Millie get right? 6 points34Millie is due to do a Maths test. Her mother says she will give her 9p for every question she gets right but that Millie must pay her mum 5p for every wrong answer. There are 28 questions. After the test is marked, neither Millie nor her mother need to pay each other.How many questions did Millie get right?18 correct (18 x 5 = 90 = 10 x 9) 10 incorrect
46 How many sweets did Becky and Samantha start with? 6 points35Becky had 3 times as many sweets as Samantha. They each gave 14 sweets to Ellie. Now Becky had 7 times as many sweets as Samantha.How many sweets did Becky and Samantha start with?Becky 63 then 49Samantha 21 then 7
47 In a field there are pink pigs and black pigs. 6 points36In a field there are pink pigs and black pigs.A pink pig can see 5 times as many black pigs as pink pigs.A black pig can see twice as many black pigs as pink pigs.How many black pigs and pink pigs are in the field?2 pink5 black
48 6 points37You are staring into a wood. You can see 22 eyes and 32 legs. These belong to foxes and owls. How many owls and how many foxes are there?5 foxes & 6 owls (5 x x 2) = 32 legs
49 9 points38You are in the wood with the foxes and owls. This time there are 24 eyes and 38 legs. How many foxes and owls are there?There are 7 foxes, 4 owls and you!(7 x x x 2) = 38 legs
50 Shannon takes all of her money out of her bank. 7 points39Shannon takes all of her money out of her bank.She spends 75% of it on a new phone.She then spends 75% of the remaining money on books.Of the remaining money, she spends 75% on a game.She is left with £2 which she spends on sweets.How much money did she take out of her bank?Answer on next slide.
51 Shannon withdrew £128 from her bank. 39Shannon withdrew £128 from her bank.Total75%Spent onLeaving12896phone3224books86game2sweets
52 He had 5 sons and 3 daughters. How much would each person receive? 8 points40Albert Moneybags died leaving £108,000. His will stated that his widow should receive twice as much as each son and that each son should receive three times as much as each daughter.He had 5 sons and 3 daughters.How much would each person receive?Daughters: 3 x 4500 = 13,500Sons: x 13,500 = 67,500Widow: 1 x 27,000 = 27,000
53 8 points41Three guests book rooms in a hotel for £30 in total. The manager realises they should have a discount of £5. He gives the receptionist £5 to return to the guests. She reckons they will have a hard job dividing up £5 between 3 people so she gives them £1 each and keeps the remaining £2 for herself.So out of the original £30, the guests have paid £27, the receptionist has £2. What has happened to the last £1?The 3 guests paid £27 after their refund. Of that the hotel received £25 and the receptionist £2. There is no missing £1.
54 9 pointsHow many eggsactly?42Fred has a basket of eggs. He sells half his eggs plus half an egg to Tom. He then sells half the remainder plus half an egg to Sarah. After that, he sells half the remainder plus half an egg to Courtney. Half the remainder plus half an egg was sold to Wilfred. Finally, Fred boils the one egg he is left with and eats it for lunch.How many eggs were in the basket to start with?Answer on the next slide.
55 There were 31 eggs in the basket to start with. 42There were 31 eggs in the basket to start with.NameEggs sold toEggs left31Tom1615Sarah87Courtney43Wilfred21Fred
56 9 points434158=37953=18842=53467=21753=08888=86247=18046=66812=3Can you explain this?It is a very simple principle.The number on the right shows the number of enclosed shapes in the number on the left. 8 has 2 enclosed shapes; 4, 6, 9 & 0 have 1 enclosed shape.
57 Fred wants to get into a club. He watches the entrance. 10 points44Fred wants to get into a club. He watches the entrance.“Twelve,” says the doorman.“Six,” replies a fat man. He is admitted.“Six,” the doorman says to a tall woman.“Three,” she says and is also let in. Fred thinks he understands. “Four,” says the doorman.“Two,” replies Fred. He is not allowed in.What should he have said?4. You reply with the number of letters in the number the doorman says.
58 Answer on the next slide. 10 points4512 litres of beer have been delivered to the head teacher of Alehouse Primary School. He wants to give 11 litres to the staff to drink and keep 1 litre for himself.He only has the full 12 litre barrel, a 7 litre container and a 3 litre container. None of the containers have any scales on them.How can he measure out 11 litres and 1 litre by pouring the beer between the three containers?Answer on the next slide.Start 12 litre barrel 7 litre jug 3 litre jug12 litres7 litres3 litres
61 What other amounts can you make? 6 points46Using 4 British coins (no more or no less) can you make each of the amounts from 4p to 37p inclusive? You can use more than 1 of the same coin.What other amounts can you make?
63 The number 15 has 2 digits. If you add them together, you get 6 5 points47The number 15 has 2 digits. If you add them together, you get 61 + 5 = 6How many numbers can you find where the sum of the digits = 6?No zeros and no decimal points.32 numbers to find (including 24).Answers on the next slide.
65 8 points47Further investigations. How many different numbers would you be able to make for these numbers using the same rules (no zeros and no decimal points)?1112131415 (already done)16Do you see a pattern?Answers on next slide.
67 Alfy serves one scoop of ice cream in one flavour – apple. 8 points48Ice cream delight.Alfy serves one scoop of ice cream in one flavour – apple.There is only one type of cone you can buy from Alfy.Continued on next slide.A
68 How many different ice cream cones does Bertie sell? 48Bertie always serves 2 scoops stacked vertically. He has 2 flavours: apple and blueberry.How many different ice cream cones does Bertie sell?Continued on next slide.BA
69 How many different ice cream cones does Carol sell? 48Carol always serves 3 scoops stacked vertically. She has 3 flavours: apple, blueberry and cherry.How many different ice cream cones does Carol sell?Continued on next slide.CBA
70 How many different ice cream cones does Carol sell? 48Dawn always serves 4 scoops stacked vertically. She has 4 flavours: apple, blueberry, cherry and damson.How many different ice cream cones does Carol sell?Continued on next slide.DCBA
71 48Without drawing out the cones, can you work out how many Edward would sell, if he always served 5 scoops and stocked 5 different flavours – apple, blueberry, cherry, damson and elderberry.Answers on next slide.
72 48NameScoopsCombinationsHow it worksAlfy1Bertie21 x 2Carol361 x 2 x 3Dawn4241 x 2 x 3 x 4Edward5?1 x 2 x 3 x 4 x 5
73 8 points49How many times would you see 3 of the same numbers in a row in 24 hours on an ordinary 4 digit 24 hour digital clock?1 1 : 1 400:00 00:01 00:02 00:03 00:04 00:05 00:06 00:07 00:08 00:09 01:11 02:22 03:33 04:44 05:55 10:00 11:10 11:11 11:12 11:13 11:14 11:15 11:16 11:17 11:18 11:19 12:22 13:33 14:44 15:55 20:00 21:11 22:22 23:33
74 8 points50How many times would you see 3 of the same numbers in a row in 12 hours on an ordinary 4 digit 12 hour digital clock?1 1 : 1 401:11 02:22 03:33 04:44 05:55 10:00 11:10 11:11 11:12 11:13 11:14 11:15 11:16 11:17 11:18 11:19 12:22