October Challenges

This month’s challenges are all about riddles that involve logic and reasoning.  Click on the pdf link to print a copy of this month’s challenge and bring it in with the solution to earn your XP.  Good luck!

Tech:

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A man is walking across a bridge and meets a girl. He says to the girl, “Brothers and sisters have I none, but this girl’s father is my mother’s son.” Somehow the man and the girl are related.  How are they related?

 

 

Operative:

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On the island of Elbonia, a letter can cost anywhere from 1 cent to 15 cents to mail.  You can only mail letters using the exact postage.  However, there is only room for 3 stamps on each envelope.  The Elbonian’s also only have 3 values of stamps.  What must the 3 values of stamps be for someone to mail a letter worth any amount between 1 and 15 cents?

 

Analyst:

Print

A farmer has to get a bag of corn, a chicken and a fox across a river safely.  The farmer only has room for 1 item in his boat at a time.  The only problem is that if he leaves the fox alone with the chicken, the fox will eat the chicken, and if he leaves the chicken alone with the bag of corn, then the chicken will eat the corn.  How can the farmer get all three items across the river safely?

 

Agent:

Print

There are 3 baskets at a market.  One is labeled apples only, one is labeled oranges only, and the last is labeled apples and oranges mixed.  The only problem is that each of the baskets are labeled incorrectly.  You can only pull out 1 piece of fruit from 1 basket and then must label the baskets correctly.  How will you do this?

 

Special Ops:

Print

You have 8 coins, 1 of which is counterfeit and heavier than the others. You have a balance scale, which you may use twice. How will you figure out which coin is the counterfeit?

 

September Challenges

This month’s challenges are Ken Ken Puzzles! Like Sudoku, even though difficulty may vary from puzzle to puzzle, the rules for playing KenKen are fairly simple:

For a 3×3 puzzle, fill in with numbers 1-3.
For a 4×4 puzzle, fill in with numbers 1-4.
For a 5×5 puzzle, fill in with numbers 1-5.
For a 6×6 puzzle, fill in with the numbers 1-6.
For a 7×7 puzzle, fill in with the numbers 1-7.
For a 8×8 puzzle, fill in with the numbers 1-8.
For a 9×9 puzzle, fill in with the numbers 1-9.

Do not repeat a number in any row or column.

The numbers in each heavily outlined set of squares, called cages, must combine (in any order) to produce the target number in the top corner of the cage using the mathematical operation indicated. Examples: If it says 8+ the sum of the numbers in that cage should be 8. If it says 2-, then the difference between the numbers should be 2. If it says 4x, then the product of the numbers should be 4. Lastly, if it says 4÷, when when the numbers are divided the resulting quotient should be 4.

Cages with just one box should be filled in with the target number in the top corner.

A number can be repeated within a cage as long as it is not in the same row or column.

Use your incredible problem solving skills to fill in the puzzle for your rank! Good luck!

Techs:
This is a 3×3 puzzle, so you must only use the numbers 1-3 without repeating any numbers in any single row or column and satisfying the criteria for all of the cages.

Tech ken ken

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Operatives:
This is a 4×4 puzzle, so you must only use the numbers 1-4 without repeating any numbers in any single row or column and satisfying the criteria for all of the cages.

operative ken ken

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Analysts:
This is a 4×4 puzzle, so you must only use the numbers 1-4 without repeating any numbers in any single row or column and satisfying the criteria for all of the cages.

analyst ken ken

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Agents:
This is a 5×5 puzzle, so you must only use the numbers 1-5 without repeating any numbers in any single row or column and satisfying the criteria for all of the cages.

agent ken ken

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Special Ops:
This is a 6×6 puzzle, so you must only use the numbers 1-6 without repeating any numbers in any single row or column and satisfying the criteria for all of the cages.

special ops ken ken

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August Challenges

This month’s challenges are classic riddles! They require you to think outside the box, take a different perspective and be creative. Put your skills to the test as you try to solve your rank’s riddle!

Techs:
I am a blanket, but I keep you cold. I am one color when new, and another when old. What am I?

Print

Operatives:
What goes up and down the stairs, but never moves?

Print

Analysts:
What has four wheels and flies?

Print

Agents:
The man who makes it, doesn’t want it. The man who wants it, doesn’t use it. The man who’s using it, doesn’t know he’s using it. What is it?

Print

Special Ops:
What is weightless, visible to the naked eye, and if it’s put into a barrel full of water, it will make the barrel lighter?

Print

July Challenges

This month’s challenges are all logic puzzles. If you are unfamiliar with how to solve logic puzzles you can click the button below for detail instructions with an example. Your mission, if you choose to accept it, is to use your logic and reasoning skills along with the chart and clues provided to solve the problem designated to your spy ranking. Good luck!

How to Solve Logic Puzzles

Techs:
Amy, Bob, Cathy and Deb each have different pets. Your mission is to determine who has which kind of pet each person owns.

petsClues:

    1. Bob’s pet can’t fly
    2. Cathy’s pet has hair, so does Debs
    3. Deb’s pet doesn’t bark.

Tech logic puzzle

Print

Operatives:
I have a 5 scoop ice cream cone! Each of my 5 scoops are a different flavor of ice cream. The five flavors are blueberry, chocolate, strawberry, vanilla and bubble gum. You don’t know what order my ice cream flavors are from top to bottom.

ice creamClues:

    1. The bottom flavor has 10 letters
    2. The vanilla scoop touches both the chocolate and blueberry scoop
    3. Vanilla is below the chocolate scoop, but above the bubblegum scoop

operatives logic puzzle

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Analysts:
On Saturday, five friends visited the zoo. Each friend wore a different color t-shirt and each rushed to see their favorite animal when they arrived at the zoo. Can you name each child’s favorite animal AND the color t-shirt they wore?

Clues:

    1. One of the children wore the t-shirt that was the zoosame color as their favorite animal
    2. Steven, who was not wearing red, went to the Australian pavilion and Ashley, who did not visit the lions, wore the yellow shirt
    3. While visiting the King of the Jungle, Chase saw the girl with the red shirt at the monkey exhibit
    4. Paul, who did not like elephants, head the boy in the purple t-shirt roaring
    5. On her way to visit the monkeys, Michelle passed Steven who was wearing the black t-shirt.

analysts logic puzzle

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Agents:
Eight friends have gotten dressed up for halloween. The problem? They’ve disguised themselves so well their parents can’t figure out who is who! Use the clues to help figure out each child’s first and last name and their costume!

Clues:

    1. halloween costumesA girl wore a princess costume and a boy wore the cowboy costume.
    2. Aubrey’s last name does not begin with a “B”.
    3. Ellie Jones was not dressed up as the cat.
    4. The boy wearing the Ghost costume has a last name that begins with “F”.
    5. Marcus was not the cowboy and his last name doesn’t begin with F.
    6. Jake’s mom remembers buying a large white sheet for his costume.
    7. Danielle Ford is wearing an animal costume.
    8. Anna dressed as a pumpkin and her last name begins with a “J”.
    9. the girl with the last name Smith was dressed as a cat.

    10. Marcus Sampson is wearing a costume that begins with the same letter as his first name.
    11. Tevin’s costume has horns.
    12. Mr. Barkley remembers that his son was dressed as a cowboy.

agent logic puzzle

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Special Ops:
Five children stopped at a garage sale one Saturday morning. Each child bought one item. Can you determine who bought what and how much they spent on their purchase?

Clues:

    1. garage saleEric Spent the most money, and Amy spent more than Kristy who didn’t spend the least.
    2. Emma and Eric both bought toys that could be assembled. Kristy didn’t buy the Barbie.
    3. Rebecca loves dolls and was very happy with her purchase. Amy bought the outside toy.
    4. The puzzle was the least expensive purchase and Rebecca spent an even amount of money and Kristy spent exactly half as much.

Special Ops logic puzzle

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June Challenges

This month’s challenges all consist of drawing lines to complete a task. Don’t be afraid to get creative or think outside the box. Bring in your successfully completed solution to earn your credit…Good luck!

Techs:
Draw only 3 straight lines through the capital letter “M” (shown below) to create 9 different triangles.
M

Print

Operatives:
Can you draw the hopscotch figure shown in the illustration without taking your pencil off the paper OR going along the same line twice?

hopscotch

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Analysts:
Draw 3 straight lines so that each of the 7 stars below are in their own, individual section.
7 stars

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Agents:
Draw 4 straight lines without picking up your pencil that passes through all 9 dots.
9 dots

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Special Ops:
A gardener laying out a bed of roses finds that she can plant 7 rosebushes so that they form 6 straight lines with 3 rosebushes in each line.

How is this possible?

7 roses
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May Challenges

This month’s challenges all consist of manipulating numbers. Do your best to complete the task. See if you can figure out a problem solving strategy to help you (hint: try something other than guess, check and revise) Refer to your problem solving guide in your binder for a list of possible strategies. Good luck!

Techs:
Begin by writing four different numbers in the four circle on each of the outermost corners. Fill in the outer squares by subtracting the smaller number from the larger number on each corner. Continue working toward the center, subtracting the corners. What patterns do you see? Can you get to the middle without a difference of zero?
diffy

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Operatives:
To solve this puzzle you need to place each of the numbers 1-8 in the circles. However, no two consecutive numbers can touch horizontally, vertically, or diagonally (for example, 4 cannot touch 3 or 5).
no consectutive numbers

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Analysts:
To solve this puzzle you need to place each number 1-11 in every circle. Each line of circles must have a sum that totals 18. The puzzle is complete when every line has a sum of 18.
sum 18

Print

Agents:
To solve this puzzle put each of the numbers 1-9 into the circles so that each line has a sum of 15.
magic square

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Special Ops:
To solve this puzzle, place each of the numbers 1-9 in the circles so all four equations are true.
sum it up

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April Challenges

As we move further away from winter and closer to spring and summer this month’s challenges are all about movement. Your mission, if you choose to accept it, is to figure out how to move the matchsticks to achieve the specified goal. Good luck.

*Note: You can cut strips of paper to use instead of matchsticks

Techs:

The Hedgehog

Move only 2 matchsticks and the button to make the hedgehog facing the other direction.

Print

Operatives:
Puzzling Time

Move only 2 matchsticks to make the exact time half past 4.

Print

Analysts:
Turn the Fish

Move only 3 matchsticks to make the fish swim in the opposite direction

Print

Agents:
The Match Window

Remove 6 matchsticks so that only 3 squares and 2 rectangles remain.

Print

Special Ops:
No More Squares

Remove only 9 matchsticks so that no square of any size will remain.

Print

March Challenges

Math Plus Academy turns 5 years old this month! In honor of our 5 year anniversary the theme for challenges this month are the teacher’s, director’s and assistant’s favorite challenges of all time! We hope you love them as much as we do.  Good luck!

Techs:

How can you cut  a cake into 8 equal pieces with only 3 cuts?

Print

 

Operatives:

A local bicycle shop sells a lot of bicycles and tricycles.  A bicycle has 2 wheels and a tricycle has 3 wheels.  There are 17 wheels in the shop all together.  How many bicycles and tricycles are in the shop?

Analysts:

There is a jar of amoebas in a table.  The amount of amoebas doubles every minute.  If the jar is full at 12pm noon, what time is the jar half full?

 

 

Print

Agents:

There are 13 people in a room.  If everyone shakes hands with everyone else exactly once, how many handshakes occur?

 

Print

Special Ops:

How many squares are on a standard 8 x 8 chess board?

*Hint: the answer is not 64

Print

February Challenges

This Month’s Challenges are all sudoku puzzles. The goal is to fill a 9×9 grid with digits 1-9 so that each column, each row, and each of the nine 3×3 sub-grids contain all of the digits 1-9 without any repeating in a single column, row, or sub-grid.  The key to Sudoku puzzles is that you NEVER have to guess! Think logically and use deductive reasoning to determine where each digit goes. Bring in your successfully completed puzzle to your next class for valuable Experience Points!! Good luck!

Techs:

Print

Operatives:

Print

Analysts:

Print

Agents:

Print

Special Ops:

Print

January Challenges

This Month’s Challenges are all tangram puzzles. The tangram is a dissection puzzle, originally invented in China, consisting of seven flat shapes, called tans, which are put together to form shapes. The objective of the puzzle is to form a specific shape (given only an outline or silhouette) using all seven pieces, which may not overlap. However, the pieces can be flipped and rotated as needed. Click on the “Print” button to print the tangram puzzle for your level, cut out the attached tangram pieces and glue them onto the given shape without any overlapping, left out or extra pieces.  Bring in your successfully completed puzzle to your next class for a valuable XP! Good luck!

Here are the pieces used to solve each puzzle:

Techs:

The Rabbit

Print

Operatives:

The Fox

Print

Analysts:

The Swan

Print

Agents:

The Sailboat

Print

Special Ops:

The House

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