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Brain Teasers, Riddles and Math Problems
Interesting brain teasers, riddles and math problems with full solution.
How many squares are in this picture?
99% have trouble with these types of counting puzzles.
Are you part of the 1%?
You get a minute to try! Solution is provided at the end.
You can also check out the Triangles counting puzzle in the card above.
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Answer:
Time's Up!
Let's break this down part by part.
The big square counts as 1
Then we have 16 smaller squares that make up the big square.
We add the 2 middle small squares, of which we see 8 even smaller squares.
There's the 4 3x3 squares
Finally let's find all the 2x2 squares.
There's 4 in the corners, 4 along the edges and 1 right in the middle.
Which brings the grand total to 40 squares!
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How many did you get? Leave a comment below with your answer.
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Move one line to fix the equation!
Solve this in a minute or less. Solution is provided after the timer runs out.
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Answer:
Remove the lower left line from the 6, which makes it a 5 and move it over to the top of the second 4 creating a 9.
We now have: 5 + 4 = 9, and the equation has been fixed.
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Question:
What's the missing number and why?
You have 30 seconds to solve this Math Problem!
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Answer:
The answer is 6 and here's why...
Adding up the 3 set of rows or columns gives us 15.
Rows:
9,1,5
4,8,3
Columns:
9,4,2
5,3,7
All add up to 15.
Placing a 6 in the question marked spot will create a new row 2,6,7 and column 1,8,6 that both add up to 15.
This is consistent, so this checks out!
The takeaway lesson here with these types of missing number or sequences is that they are solved using quick pattern recognition and intuition. As long as the answer at the end is has a consistency about it (such as all rows and columns neatly adding up to 15) then this is most likely what the intended answer is.
It's a test of how quickly you can find patterns in seemingly random sequences of numbers or letters.
Thanks for watching!
Leave a comment below if you found another number that fits this puzzle just as well as 6!
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Question:
If the price of a bat and ball together is $1.10 and the bat costs $1 more than the ball.
Then how much is the ball?
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Take 30 seconds to solve this math problem.
Pause the video if you need more time.
Answer:
The answer is not $0.10!
This problem is tricky. At a glance, one would just assume the ball will cost 10 cents since $1.10 - $1.00 is 0.10. But this is incorrect.
I'm sure this can be solved using intuition and simple arithmetic.
But here in Apptato we like doing things the hard way.
So let's solve this using some algebra.
Let x be the price of the bat and y be the price of the ball.
We know that the price of the bat and ball together is $1.10,
So we create the first equation: x + y = 1.10
And we also know that the price of the bat is $1.00 more than the ball.
We can represent it in the second equation:
x - y = 1.00, which just means the price difference is $1.00 with x (price of the bat) being the greater of the 2.
We now see a pair of equations known as simultaneous equations.
x + y = 1.10
x - y = 1.00
When there are 2 or more equations we are able to the sum of all the components of the left side and equate it to the sum of all the components of the right side. The equality is preserved.
The sum or summation is signified by the greek letter capital Sigma.
Adding both equations:
On the left side: x + x is 2x, y - y is 0
while on the right side: 1.10 + 1.00 = 2.10
2x = 2.10
x = 1.05
So the bat costs 1.05.
Substituting x back into either equation (let's go with the second one)
x - y = 1.00
1.05 - y = 1.00
y = 0.05
This is just the same as saying: since the bat is 1.05 and is 1.00 more than the ball therefore the ball is $0.05.
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How many triangles do you see in this picture? We'll cover 2 ways to solve hidden shape puzzle.
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Question:
You get one minute to solve this puzzle. Pause the video if you need more time.
Answer:
The answer is 18 triangles.
It's very easy to miss a few triangles so let's go through how to count them in a structured way.
First we focus on the biggest triangle and ignore the rest of the lines. We get one triangle.
Now we bring back the 2 longest lines and see that there are 3 more to bring the total to 4 triangles.
Then there's the 2 remaining triangles, one on the left and the other on the right bringing the running total to 6 triangles.
We go on to outline the middle triangle to add to our total (7). Bringing back its 2 long lines will reveal 3 more triangles(10). Then there's the left side triangle (11) and the right side triangle (12).
Finally, we reach the capstone top triangle (13). Add its 3 smaller triangles (16) along with its left side triangle (17) and right side triangle (18).
That was the manual way of doing it. Not the fastest way but it gets the job done!
A more clever way would be to count first set of 6 triangles and realize that this pattern is repeated 3 times.
All we have to do is now multiply 6 by 3 to arrive at the same total of 18 triangles.
Now you know 2 ways of how to how to count in these type of hidden shape puzzles!
How many triangles did you get? Leave a comment below!
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Hi everyone, saw this 1 year old meme about "The Evolution of Education" being shared around lately.
It's quite a spicy jab at the sorry current state of the North American education system.
However, the geometry problem from the "1970s" caught my eye. So I made a video on how to solve it.
1970: Calculate the surface area of the object. (0:24)
At first glance, this object looks strange and there doesn't seem to be any recognizable formula for a shape's area to represent it.
But after some inspection, we see that this is just circles and rectangles and the differences of their areas.
The concave areas where the radius R is 10 and 5 are just what's left left behind when you intersect 2 circles into a rectangle's corners.
The circles where the radius is 4 is slightly trickier. You'd just have to imagine a circle being placed at the corner of a rectangle and the corner tip that is not overlapping with the circle is then removed. Don't worry we will have diagrams on this later.
Let's recolor this figure. The problem then boils down to removing the red areas from the rectangle to find the Area of the object.
If we refactor the problem some more, we now see that there are 3 components: a rectangle, 2 quarter circles (where radii are 10 and 5) and the 2 corner areas formed by square and circle where radius is 4.
Here's the formulas we will be using to solve this problem.
Area of Rectangle is Length x Width
Area of Circle is pi r squared (where pi is approximately 3.14159265)
Area of square is length of side squared
The area of rectangle is simply: 20 x 30 = 600
The area of a quarter circle is 1/4 pi r squared.
We see that the first quarter circle's area is 25pi, while the second is 6.25pi
So the combined area of the 2 red quarter circles is 31.25pi.
The area of 1 of the red corners is the difference of square and circle areas divided by 4 (since there are 4 corners).
From the diagram we see that the square has a side length of 8 since it spans the diameter of the circle. Diameter is 2 * radius.
The Area of both red corners is therefore:
2 * Area of one red corner, which after substituting 4 for radius and 8 for length, becomes 32 - 8pi
Putting it all together we have: Area of red quarter circles and corners removed from the Area of the rectangle:
600 - 31.25 pi - (32 - 8 pi) = 568 - 23.25 pi (Approx. ~ 494.957971) [EDIT: Video approximation is incorrect/less accurate]
From 1985 to 2015: Find the area of the rectangle (3:18)
No, the answer is not Michael Jackson, Canada, Breakfast, 800K or 4K.
From the previous problem, we know that the area of a rectangle is simply length x width:
The answer is therefore: 30 x 20 = 600.
2018: Color the rectangle with the color you prefer (3:41)
After I color a rectangle blue, I am cheered by people of all ages and showered in medals/trophies/fireworks.
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Given the height of a cat on top of a table to the highest point of a turtle on the ground is 170cm and the height of the same turtle on the table to the highest point of the same cat on the ground is 130 cm.
How tall is the table?
This puzzle taken from an elementary student's homework in China.
Are you smarter than a Chinese grade schooler?
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...
Take a minute to solve this math problem.
Pause the video if you need more time :)
Answer:
This math problem requires some algebra to solve.
First we need to make some variables:
Let h be the height of the table and let c and t be the heights of the cat and turtle respectively.
From the diagram on the left we see that:
The height of the cat + the table is the same as the height of the turtle + 170 cm.
c + h = 170 + t
From the diagram on the right we see that:
The height of the turtle + the table is equal to the height of the cat's + 130 cm.
t + h = 130 + c
So now if we add both equations together we can cancel out c and t and end up with:
c + h + 2h = 300 + t + c
Cancelling out c and t and simplifying we get:
2h = 300
h = 150
So the height of the table is 150 cm!
And that's how you solve the Chinese homework table problem.
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In this video, we will cover the Parking Spot Riddle designed for elementary school admissions in Hong Kong.
It is said that some kids were able to solve it in under 20 seconds.
Are you smarter than a Hong Kong grade schooler?
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Question:
What parking spot number is the car parked in?
You have 20 seconds to solve this riddle!
Answer:
If you look at the numbers: 16, 06, 68, 88, 🚘, 98 you will most likely not find a reasonable pattern in 20 seconds or less.
The way this problem is solved is quite brilliant.
Simply rotate the picture by 180 degrees, you will notice that your perspective of the situation has been upside-down this whole time.
From this new perspective, a much more recognizable pattern emerges: 86, 🚘, 88, 89, 90, 91.
The answer is simply 87.
This puzzle does a good job in utilizing numbers that can be read right side up and up side down which most people can easily overlook. Without that quick insight many would spend countless minutes or even hours trying to find the right pattern.
Thanks again for watching!
Leave a comment below if you actually saw a pattern without rotating the image. Would really love to hear from you!
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Normally known as the Water Jug Riddle, the Die Hard Riddle became a popular alias because its feature in Die Hard 3.
In the movie, Bruce Willis and Samuel L. Jackson are confronted with 3L and 5L jugs by a water fountain. They then receive a phone call instructing them to place exactly 4L of water in a jug on a scale to disarm a bomb.
How do they do it?
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Pause the video now for some time to solve this riddle.
Answer:
1) Fill 3L jug
2) Empty 3L jug into 5L jug
3) Refill 3L jug
4) Pour 3L jug into 5L jug until 1L remains
5) Throw away contents of 5L jug
6) Pour the remaining 1L into the 5L jug
7) Fill up the 3L jug
8) Empty 3L jug into 5L jug making exactly 4L
And that's how you solve the Water Jug or Die Hard riddle.
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This video explains the burning rope problem!
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Question:
There exists a rope coated in oil that takes exactly 1 hour to completely burn. The burn rate is, however, uneven and unpredictable.
Given a lighter and 2 of these kinds of ropes, how would you measure a time of exactly 45 minutes?
Pause the video for time to solve it!
Answer:
The trick to this problem is knowing that you can burn the rope at both ends to half the time to burn each rope.
For example if you ignite a rope at both ends it will take 30 minutes to completely burn.
With this in mind, the way to go about doing this would be to light 2 ends of the first rope and one end of the second rope.
This means the first rope will burn in 30 minutes, while the second will take a full hour.
After the first rope burns, 30 minutes would have elapsed and the first rope will be fully consumed.
However the second rope is only half burnt and has 30 minutes remaining.
This is when we light the other end of the second rope and thereby reducing the remaining total time to 15 minutes!
After the second rope is all gone. The total time that would have elapsed should be exactly 45 minutes!
Now you know how to solve the timed rope burning problem!
Leave a comment if you want me to cover any specific brain teaser or puzzle.
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This is the "Light bulbs and Switches" problem. You have one minute to solve this puzzle!
Full solution is provided at the end.
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<INTRO>
Desc:
There are 3 light bulbs in one room and their corresponding switches are in another room.
You're allowed to play around with the switches as much as you want, however you are only allowed to go to the other room to check the light bulbs once.
How do you determine which switch is for which light bulb❓
Solve this in one minute or less!
*** ANSWER ***
Did you get the answer?
Here's one of many ways to solve this puzzle:
1) Turn one switch on for 15 minutes or so and then switch it off.
2) Turn on another switch and quickly go to the other room and check on the bulbs.
You will notice that there are 2 unlit and 1 lit bulbs.
3) The trick here is that one of the unlit bulbs will be warm, while the other one will be at room temperature. Now you know that the first switch your flipped on (then off) will be the warm unlit bulb, the second switch you flipped on will be the only one lit, while the third switch that you didn't interact with is connected to the cool unlit bulb.
Now you know how to solve the light switches and bulbs brain teaser!
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Can you move just one card to make both sides equal?
You have one minute to figure this out!
Solution is provided at the end of the video.
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...
Give up?
*** ANSWER ***
You simply move the card halfway up to turn it into an exponent.
3^3 + 3 = 27 + 3 = 30
The beauty of this problem is that many assume you need to move or swap the entire card and they spend a lot of time trying different configurations. A little unconventional thinking saves a lot of time.
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Share this video with family and friends to see if they can also think outside the box.
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What Does This Mean?
Make sense of the following:
0 > 2, 2 > 5, 5 > 0
You have one minute to figure this out!
Solution is provided at the end of the video.
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...
*** ANSWER ***
Time's up!
The tricky part of this problem is that it is not mathematical at all.
Since as we can already see that the inequalities 0 > 2 and 2 > 5 don't make sense.
This is a symbolical representation of the the game of rock, paper scissors represented by the number of fingers used to form each symbol with your hand.
So.. 0 fingers (rock) is greater than 2 fingers (scissors) which is better than 5 fingers (paper) and paper then beats rock.
Now you know! Next time you see equations that don't make logical sense try to cross reference with non-mathematical ideas for inspiration.
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Also share this video with others to see if anyone can figure out what these equations mean!
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This video will explain the controversial Monty Hall Problem once and for all!
The Monty Hall Problem is a brain teaser loosely based on the American TV game show "Let's Make a Deal" and named after its host Monty Hall.
The problem goes like this:
Suppose you're on a game show and you're given the choice of three doors where behind one door is a car and behind the others, goats. So you pick a door without opening it and the host opens one of the doors containing goats. The host then asks "Do you want to (1) switch or (2) stay with the door of your choice?".
Assuming you like the idea of winning a car more than a goat, which of the 2 choices will give the higher chance for the better outcome?
*** ANSWER ***
You should always switch doors!
The chance of winning the car is 2/3 when you switch to the other door, while it's 1/3 when you stay with your first choice.
But how is this possible?
There's 2 doors! Shouldn't the chance of getting a goat or car be 50%?
It's pretty much a coin toss at this point right?
What difference does it make if the host opens one of the doors that contain a goat?
These are all great questions! And this is exactly why the Monty Hall problem is so controversial and tricky.
*** EXPLANATION ***
Allow me to explain how the answer came about...
First we have 3 doors. The chance of picking the door with a car behind it is 1 in 3 and a goat is 2 in 3 (Since there are 2 goats and 1/3 + 1/3 = 2/3).
Once the host reveals one of the goats, you are left with 2 doors. So, why is it not 50%?
The confusion arises when people see 2 doors and immediately assume a 50% chance each door is a goat or a car irregardless of the host's reveal.
The part that most people miss is that your chances of picking correctly before and after the reveal remains the same (1/3).
Ask yourself, why would your initial choice now increase to 1/2 or 50% because of the reveal? You did not do anything to change the outcome. So there should be no change. However... the gameshow gives you a chance at redemption by giving you a chance at switching to the only other door and removing the only other outcome.
Mathematically, if your chance of claiming the car is 1/3 with one option then the ONLY other option is 2/3 because the probability that the car is in one of the doors is 100%. (1 - 1/3 = 2/3).
Well.. that was my best shot at a logical proof.
Still not convinced? Then I have a more convincing proof coming up!
Ok! Now imagine instead of 3 doors there's 1 million doors, where there's 1 car and 999,999 goats.
You choose a random door.
What are the chances you chose the car correctly the first time? It's 1 in a million.
The host then opens all but 2 doors concealing the car and the last goat.
After the reveal, do you still believe switching makes no difference?
Switching doors in the 1M door scenario now gives you a 999,999/1M chance to win that car!
Now going back to the 3 door problem, you initially have a 1/3 chance of choosing correctly and because of the reveal you are now given a choice to choose the option that gives you a 2/3 chance of winning. It's just much harder to see in the 3 door scenario since it's close to the 2 door scenario.
With this in mind, switching doors becomes a no brainer!
Thanks for watching!
Hope this clears up the Monty Hall Problem once and for all.
Hit like, Subscribe or Comment if you now understand the Monty Hall problem, disagree or if you just like clicking on random things to warm up your APM :)
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In this video, we will cover the River Crossing type of puzzle where a farmer brings over 3 things that can eat one another.
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...
Once upon a time a farmer went to a market and purchased a fox, a goose, and a bag of wheat. On his way home, the farmer came to the bank of a river and rented a boat. But crossing the river by boat, the farmer could carry only himself and a single one of his purchases: the fox, the goose, or the bag of wheat.
If left unattended together, the fox would eat the goose, or the goose would eat the wheat.
The farmer's challenge was to carry himself and his purchases to the far bank of the river, leaving each purchase intact.
How did he do it?
Pause the video now if you want to try to solve it!
...
*** ANSWER ***
1) Take the Goose over
2) Return
3) Take the fox over
4) Return with the goose
5) Take the wheat over
6) Return
7) Take goose over
There are 7 crossings (4 forward and 3 back).
It's simply a creative and step by step way of keeping the fox from the goose and goose from the wheat while moving them all to the other side.
There are other variations of the river crossing puzzle genre such as the wolf/goat/cabbage, the jealous husbands and bridge and torch problem but they are all solved similarly.
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Now you know how to solve any River crossing puzzle types. Share this with others to see if they can too!
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Stretch your brain with these tricky brain teasers! Think outside the box!
Answers are given at the end of each question.
If you want to see more of this type of video, like, comment and subscribe!
*** ANSWERS ***
1) Third door. Lions most likely died after not eating for years.
2) He was in a convertible
3) The trains had different number of freight cars. So one was longer.
4) Other end of the rope was not tied to anything.
5) It's quantity, not year. 1985 is larger than 1980.
6) The surgeon was the mother.
7) Deflating the tires by half an inch will lower the truck's height.
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🤔 Given the following diagram, what's the missing number denoted by the question mark?
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Solve this in 30 seconds or less! Pause the video if you need more time.
Answer:
Time's Up!
There's a pattern that emerges with the relationships between the numbers.
The left circle's numbers are related as follows:
40 divided by 5 is 8 and 8 squared is 64.
This same relationship can be applied to the right circle, which is 63 divided by 7 is 9 and 9 squared is 81.
Taking this pattern we now can solve for the unknown number like this:
Something divides by 4 is 4 which then we get 4 squared is 16.
The unknown number is therefore 16 since 16/4=4.
These types of puzzles are somewhat random in the way they are constructed, however the set of operations is consistent all throughout.
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You get 20 Riddles with 30 seconds to solve each.
The answers are provided as emojis. So you need to also guess the emoji!
Did you get all the emoji answers to the riddles?
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*** RIDDLES + ANSWERS ***
1) 0:21 What has two hands on its face but no arms? Answer: A clock
2) 0:53 The more you take, the more you leave behind. What am I? Answer: Footsteps
3) 1:24 You keep it, but it never ages. Once shared it is gone forever. Answer: Secret.
4) 1:56 What holds water yet is full of holes? Answer: A sponge.
5) 2:26 Feed me and I will live, give me a drink and I will die. Answer: Fire.
6) 2:56 What is so fragile, even speaking its name will break it? Answer: Silence.
7) 3:26 If I'm in front I don't matter, if I'm in back I make everything be more, I am something yet I am nothing. What am I? Answer: Zero
8) 3:56 What belongs to you, but other people use it more than you do? Answer: Your name
9) 4:27 Tall I am young, Short I am old, While with life I glow, Wind is my foe. What am I? Answer: A candle.
10) 4:58 Two friends stand and travel together, one nearly useless without the other. Answer: Boots
11) 5:28 What has a head and a tail, can flip but has no legs? Answer: A coin.
12) 6:00 What binds two people yet touches only one? Answer: A wedding ring.
13) 6:30 What comes once in a minute, twice in a moment, but never in a thousand years? Answer: The letter M.
14) 7:00 It dampens as it dries. Answer: Towel.
15) 7:30 Brought to the table. Cut and served. Never eaten. Answer: Cards.
16) 8:01 The more you take out the bigger I get. What am I? Answer: A hole
17) 8:32 The foolish wastes me, The average person spends me, The wise invests me, Yet everyone succumbs to me. What am I? Answer: Time.
18) 9:03 It is the beginning of eternity, the end of time and space, the beginning of the end and the end of every space. What is it? Answer: The letter E
19) 9:33 What has to be broken before you can use it? Answer: An egg.
20) 10:04 What tastes better than it smells? Answer: A tongue.
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Stroop Effect Test | Name All Colors Correctly - Psychology Color Test
✅ True or False Color App for iOS: https://apps.apple.com/app/id914964935
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In psychology, the Stroop effect (published by John Ridley Stroop in 1935) is an interesting finding that demonstrates a person's sudden delayed reaction time and higher chance of error when told to name the color of a word that is not the color itself.
For example, the words "red", "blue" and "green" printed in blue, green, red respectively would be harder to name the colors as compared to the same words printed in matching colors (red blue green) or any non-color related words (such as monkey, goat, mouse).
Try it for yourself!
You have 30 seconds to say the color of each word out loud.
Time's up!
Leave a comment below if you got through all of them without any mistakes!
Thanks for watching!
Test how good your Stroop Effect game is with the free "True or False Color" App on the AppStore!
Until next time!
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TRICKY MATH PUZZLES WITH ANSWERS (ALGEBRA)
🤔 Given the following diagram, what's the missing number denoted by the question mark?
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Solve this in 30 seconds or less! Pause the video if you need more time.
Answer:
Time's Up!
At first glance, this looks like a simple algebra problem where you treat the fruits like variables and solve the equations to find their values.
Upon closer look we see that there are 2 coconuts in line 3 and 1 coconut in line 4.
And upon even closer inspection, we notice that there are 4 bananas in a banana bunch in lines 2 and 3 while there's 3 bananas in line 4. Very tricky indeed!
With this in mind, let us now create new variables using emojis so we don't get confused while solving this problem.
Each apple is represented by 1 apple emoji.
Each coconut is 1 coconut emoji.
The coconut pair will be 2 times coconut emoji.
The banana bunch with 4 bananas will be 4 times banana emoji,
and finally the banana bunch with 3 bananas will be 3 times banana emoji.
Now the whole equation can now be rewritten as follows:
🍎 + 🍎 + 🍎 = 30
🍎 + 4🍌 + 4🍌 = 18
4🍌 - 2🥥 = 2
🥥 + 🍎+ 3🍌 = ?
And we can finally solve this problem.
Line 1: 🍎 + 🍎 + 🍎 = 30
This becomes 3 apples equals 30, which reduces to 🍎 = 10.
Line 2: 🍎 + 4🍌 + 4🍌 = 18
Substituting the apple and reducing the equation we get 10 + 8🍌 = 18, which ends up with 🍌 = 1
Line 3: 4🍌 - 2🥥 = 2
This gives us 4 - 2🥥 = 2 that boils down to 🥥 = 1
Line 4: 🥥 + 🍎+ 3🍌 = ?
Subbing in coconut, apple and banana, gives us 1 + 10 + 3, which is 14.
The answer is therefore: Question mark is 14!
Thanks for watching! Hope you learned how to solve these tricky type of algebra problems.
Always keep an eye out for the amount of fruits or variables presented and never just blindly solve without thinking!
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Brain Teasers for Kids with answers - Connect the dots Puzzle
Connect all the dots with only 4 straight lines without lifting your pencil off the surface!
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You get 30 seconds to solve this puzzle.
Pause the video if you need more time.
Answer:
Time's up!
If you try to draw lines from dot to dot, this problem will be impossible.
A little out of the box thinking (literally) will help us solve this puzzle!
Keep in mind that there are more than one solution to this problem.
Let's cover one of the more popular answers.
First we draw a diagonal line from the top right dot to the bottom left dot, passing through the centre dot.
Second we proceed to draw a vertical line past the top left dot. This path includes the centre left dot.
Third, from the end of the second line we draw a diagonal line passing through the centre top and the centre right dot all the way to the bottom
Fourth, we then draw a horizontal line from the end of line 3 back to the bottom left dot.
There you have it. All 9 dots are covered in just 4 straight lines!
Its always helpful to think outside the box and question the rules of the puzzle thoroughly to see if there's any unconventional ways of solving the problem.
Thanks again for watching!
Leave a comment below if you turned the fish around in a different way!
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CONTROVERSIAL MATH PROBLEM SOLVED AND EXPLAINED
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What is 8÷2(2+2)?
This simple math equation posted by @pjmdoll on twitter has the whole internet divided!
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You get 10 seconds to solve this puzzle.
Pause the video if you need more time.
Answer:
Time's up!
If your answer is either 1 or 16 then you may now join the debate!
Many cannot agree on the answer and even those that have math degrees have weighed in on the subject siding with one answer over another.
Central to the issue is the rule for order of operations BEDMAS, which stands for brackets, exponents, division, multiplication, addition and subtraction and how it is applied to the equation.
Let's solve this by strictly adhering to the BEDMAS rule:
- First, we calculate the bracketed part first (2+2) which is 4.
- Then we divide 8 by 2 which yields 4.
- Finally we multiply 4 and 4 together to get 16.
So how are people getting an answer of 1?
I believe the confusion arises in the division operation being represented by one symbol (whether it be an obelus or a slash).
Division represented by one symbol is often used in elementary school, math skill testing questions on sweepstakes and programming.
The fraction bar (numerator over denominator format) is heavily favoured beyond elementary school and is much less ambiguous.
Going back to the equation.
If we convert this problem using the fraction bar, there will be 2 ways this can be conceptualized:
1) On the left hand side we have 8 over 2(2+2)
2) and on the right hand side we get 8 over 2 times (2+2).
And this is exactly where the source of the confusion arises!
Solving these in parallel, 2+2 becomes for both sides. The left side becomes 8 over 4*2 and the right becomes 4 times 4, which then gets us to our 2 answers 1 and 16.
On a side note:
Feeding "8/2(2+2)" into google and wolfram alpha (a popular math tool) we get ..
TRICKY PUZZLE FOR ALL - Move Two Matches to Make 7 Squares
The puzzle is simple yet tricky!
Move the 2 sticks from the corner into any of the 3 squares in a cross formation.
Counting the number of squares we see: 3 big squares + 4 small squares which equals to 7 squares.
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BRAIN TEASER FOR KIDS - The Lily Pad Problem
There is a patch of lily pads on a lake, which doubles in size everyday. If it takes 44 days to cover the entire surface of the lake, how long will it take to cover half the lake?
The answer is not 22 (which is half of 44). This problem is trickier than it appears!
Since the patch doubles in size everyday and it takes 44 days to cover the whole lake then that means the previous day the lake was already half covered by lily pads. The answer is therefore 43 days.
Be careful when solving tricky problems. Don't rush to the answer right away and make sure to reread the question and not miss any details as small as they may seem!
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