Caution! This page contains all the hints and solutions for every puzzle from 101 to 125. Scroll carefully or you might spoil the answer of a puzzle for yourself. The solutions are hidden behind spoiler tags, so only take a peek if you're desperate.
Puzzle 101
- Name: Square Goldfish
- Trigger: Talk to Marion
- Location: Fish Lab
- Chapter: 9
- Picarats: 45
Description: Below is a goldfish-shaped toy. This toy has a trick to it: it can be split into four pieces, which can then be assembled to form a perfect square. How can the toy be divided such that the resulting pieces could be rearranged to form a square? Draw two lines dividing the goldfish into four pieces.
- Hint 1: Try to visualize which parts can be made to form the square. You can only draw two lines, so significant portions of the resulting piece will need to fit together to form a square shape, right?
- Hint 2: The length of one side of the finished square is equal to the diameter of the circle that forms the fish's head.
- Hint 3: Both the dividing lines should be drawn within the fish's head. Can you work out where?
- Super Hint: Draw two lines to make an X across the circle that constitutes the fish's head. You will have three quarter-circle wedges as a result. If you fit these into the grooves on the fish's tail, you'll have a perfect square
Puzzle 102
- Name: Window Pains
- Trigger: Talk to Jasmine
- Location: Murray Street
- Chapter: 9
- Picarats: 25
Description: "I was carefully cleaning up the fragments of this broken window with my three friends. I picked up the first three pieces. My friends followed in turn, each picking up three more pieces than whoever went before them. In the end, there were still three fragments on the floor. How many pieces of glass were there to begin with?"
- Hint 1: If you figure out how many pieces each person took, you should be close to the answer. Just make sure you don't forget any pieces.
- Hint 2: Try reading the puzzle again. You already know how many pieces the first person took. You also know that each person took three pieces more than the person before them. Count out how many each person would have taken, and then add all the pieces together.
- Hint 3: The first person took three pieces. Each person after that took three more than the previous person, so they had three, six, nine, and 12 pieces respectively.
- Super Hint: Don't forget the three pieces left lying on the floor! Adding the pieces that were placed up to the pieces on the ground gives: 3 + 6 + 9 + 12 + 3. Now you've got your answer.
Puzzle 103
- Name: Cogs & Pulleys
- Trigger: Talk to Clarence
- Location: North Ely Park
- Chapter: 9
- Picarats: 30
Description: You find a large machine in a warehouse. It looks like it could be some kind of complicated device for moving a bucket up and down, but all the cogs and wheels make it difficult to know which way to turn the handle. Can you work out which way the bucket will move if you turn the handle clockwise? Touch the arrow that points in the correct direction. All of the cogs and pulleys are in good working order.
- Hint 1: Think about the direction that each cog will move, starting from the one connected to the crank. The direction that each cog moves will change depending on cogs, pulleys and ropes connected to it.
- Hint 2: When two cogs connect, the second one will move in the opposite direction of the first in the chain. The pulleys will change the direction in which the rope moves. When a pulley is connected to a cog or another pulley, the direction will be reversed if the rope is crossed and stays the same if it doesn't cross.
- Hint 3: The first cog with the crank handle attached to it turns clockwise. The rope connected to it doesn't cross, so the cog connected to the rope will also turn clockwise. The next connection is between two cogs, so the direction will reverse counterclockwise. Keep moving through the chain of cogs, pulleys, and ropes in this manner.
- Super Hint: The final cog will move clockwise. So will the bucket go up or down?
Puzzle 104
- Name: Many to Cross...
- Trigger: Talk to Dominica
- Location: Pike Lane
- Chapter: 9
- Picarats: 50
Description: A wanted to return a book to her friend B, but she couldn't remember where B lives. After walking around and crossing every bridge just once, she finally arrived at her friend's house. Circle the number of B's house, then touch Submit.
- Hint 1: There seem to be many routes that A could take to get to B's house. Let's consider a single route. First, she started by walking past house number 4 and then number 3. At that point, she still had no idea how long her route would end up being.
- Hint 2: After numbers 4 and 3, she would then visit 2, 1, 5, and 2 again. However, she still had not found her friend's house.
- Hint 3: After arriving at number 2 the second time, she visited 6, 3, A, 6, 8, 9, 8, and then 7. Even so, she could still not be sure which was the correct house. Had she overlooked something?
- Super Hint: She had to cross every bridge to be sure. After arriving at number 7, she went to 8, 6, and 5 again. After crossing the last remaining bridge, she finally got to B's house. What a walk!
Puzzle 105
- Name: Bouquet Giveaway
- Trigger: Talk to Aldus
- Location: Café Entrance
- Chapter: 9
- Picarats: 30
Description: A girl received a large bunch of flowers from an admirer. She felt that she had too many, so she gave them away to people she met on her way home. Each time she started by giving just one flower, and then she decided to give half of the remaining bunch. After meeting five people, she had only one flower left. How many flowers were in the whole bunch?
- Hint 1: In the end, she only has one flower, so when she met the fifth person, she must have been holding three flowers. Keep working backward this way, doubling and then adding one.
- Hint 2: When she met the fourth person, she still had seven flowers.
- Hint 3: As she ran into the third person, there were 15 flowers left in the bunch.
- Super Hint: Continuing backward one meeting at a time, you can work out that the girl had 31 flowers just before she bumped into the second person. Therefore, the number of flowers she started with must be twice 31 plus one!
Puzzle 106
- Name: Apple Bounce
- Trigger: Talk to Charlie
- Location: Great Ely Street
- Chapter: 9
- Picarats: 45
Description: Newton wants to drop some apples from the top of his ladder into his friend's basket. Place trampolines carefully to help Newton bounce the apples on their way. Makes sure they don't hit the ground or bounce into any walls before they reach the basket! Nobody likes a bruised apple.
- Hint 1: Those juicy apples sure can bounce! See what happens when you change the angle of a trampoline.
- Hint 2: It's possible to solve this puzzle using only a single trampoline. See if you can find the best place to put it.
- Hint 3: The best place for a single trampoline is in the path of the falling apple toward the bottom of its fall. Try changing the angle of the trampoline to make the apple bounce through the gaps between walls.
- Super Hint: With the right placement, you can bounce an apple right over the top of the leftmost wall. You'll need two trampolines to solve the puzzle that way, and the placement might be a tad tricky... but why not give it a try?
Puzzle 107
- Name: How Many Rooms?
- Trigger: Talk to Joseph
- Location: Hotel Lobby
- Chapter: 9
- Picarats: 45
Description: The guest rooms in this hotel all have two windows each. From the second floor upward, all rooms are guest rooms and all the windows belong to a room. The ground floor has no guest rooms, but you can enjoy a fine English breakfast and a cup of Earl Grey. If all four sides of the hotel have an identical layout, how many guest rooms does the hotel have in total?
- Hint 1: Take it one floor at a time, starting with the second floor. The number of guest rooms on a floor will equal the number of windows on the floor divided by two.
- Hint 2: The number of windows on the sixth and seventh floors is eight per floor. How many guest rooms is that per floor?
- Hint 3: Every floor from the second to the fifth has 16 windows in total. So how many rooms are there on each of those floors? If you've worked that out, you just need to do the math to get the total number of guest rooms in the hotel.
- Super Hint: If your math really isn't working, try counting all the windows you can see from the second floor upward. The number of windows you can see is half of the total number, and each room has two windows. If you pot these two together, you'll realize that the number of windows you can see on these floors is the same as the total number of guest rooms.
Puzzle 108
- Name: Pendant Penchant
- Trigger: Talk to Bobbi
- Location: Hotel Lobby
- Chapter: 9
- Picarats: 30
Description: One of the three trinkets below is said to be a magic pendant made from three types of beautiful crystals resembling crimson suns, pearl stars, and cerulean tears. This priceless treasure can be identified by the fact that if the quantity of one type of crystal were doubled, it would equal the combined quantity of the other crystals on the pendant. Which pendant is the magic one?
- Hint 1: Try to think about how many crystals are on each pendant. You won't get far if you don't find this out first.
- Hint 2: Which type of crystal should you double? Well, adding any number to itself always makes an even number. Even + even = even. Odd + odd = even. Keeping this in mind should make things a lot easier.
- Hint 3: The type of crystal you should double is the crimson suns. Now you just need to do some simple math.
- Super Hint: If you still can't find it, you must be having trouble with your sums! Find the pendant made up of six crimson suns, seven pearl stars, and five cerulean tears.
Puzzle 109
- Name: An Orderly Bookcase
- Trigger: Talk to Olga
- Location: Library
- Chapter: 9
- Picarats: 40
Description: This bookcase houses a set of books wrapped in five different-coloured bindings: red, blue, yellow, green, and orange. Each shelf contains one book of each colour, but the colour order varies from shelf to shelf. Your challenge is to organize the books on each shelf in the same order in only three moves. Swapping the positions of two books counts as one move.
- Hint 1: Forget about the bottom shelf, to begin with, and focus on getting the top four shelves into the same order.
- Hint 2: You should be able to arrange the top four rows of books in the same colour order using just two moves. Now you have just one move left. Can you use it to get the bottom shelf of books in the same order?
- Hint 3: The books on the first and third rows already have the same order, so there's no need to rearrange them. You can get this same order on the second shelf by switching the rightmost two books, and on the fourth shelf by swapping the boom that's farthest to the left with the one second from the right.
- Super Hint: Are you struggling with the last piece of the puzzle? It doesn't matter where on each shelf the books are, as long as the colour order is the same. Take a look at the bottom shelf, and see what happens if you move the rightmost book to the far left. Just don't go swapping it with another book.
