Math Challenge 24

Math does not purely involve writing mathematical expression .
Sometime what you need is some logically deduction base on, of course, some mathematical principles.

Below is one good example of "deduction" type of math solving.

Let start the challenge, and have some fun!

Above you will find 3 squares.

Do note that the 2 yellows are of the same area and 1 blue of area bigger than the yellow ones.

If the total area of the 3 squares are 57 sq cm, determine the area of the bigger blue square.

I believe you will enjoy this math question.

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Math Challenge 23

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Albert needed to create a path through a garden of his.

The garden has a size of a rectangle with length of 20m and width of 15m.

He intend to have a path of 3m wide.

His design is shown below.

But he has a problem.

He wanted to know what is the area of this path he is going to lay across the garden.

Can anyone help him calculate that area?

Basic geometry knowledge may helps.

Math Challenge 22

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Given the diagram of boxes below, determine, in the fastest possible way, the area of the dark blue region.

Assume the individual boxes to be 1 unit square in area.

Give your answer in the comment space, please.

Maths does not involve plain counting.

It involves some form of intelligence to get things going.

:-)

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Math Challenge 21

Some math questions are simple and can be answered easily.

See this math challenge 20 and its answer in the comment.

But a twist of the questioning will and can make it more challenging without changing the math expression.

Below is one:

Base on math challenge 20, if all unknowns CANNOT be repeated, what are they?
Again they are integers and below 10.

Enjoy the math thrill answering this.

Merry Christmas!
^.^

Math Challenge 20

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Can anyone come out the answers for A, B, C and D in the below math expression?

A² + B² + 2C² = D²

The rule is that the unknowns are all integers and below 10.

Happy trying, and
don't forget that maths is interesting!

:-)

Math Challenge 19

Math does not involve variables that we can see only.

There are the logical deduction type whereby you have to visualise and come out with an answer.

Below is one good example that I would like it to be a challenge.
(Don't be frightened by this, it is just for fun.....)

Above you will find a stack of cubic boxes. There are the blue and the yellow cubes.

Question:
What is the least quantity of blue boxes must we use in order to hold the yellow boxes in the same place?

You may present your answer and how you arrive at the answer in the comment section.

Thanks for trying. And I am waiting for that interesting mathematical deduction...

Maths Is Interesting!

Cheers :-D

Math Challenge 18

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From the logarithm equation below, can you determine what is the expression for y?

 log y = x + log x

You may give your answer in the comment section and also help explain how you get it (for the sake of sharing).

Thanks ^^

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Simple Tricky Maths Pattern

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Maths forms interesting patterns if you care to look around.

One such example is highlighted below:

12  11  10  09  08  07  06   <== row 1  (decreasing by 1)
01  02  03  04  05  06  07   <== row 2  (increasing by 1)

If you add the numbers in row 1 to that in row 2, you will get, surprisingly, the same answer throughout!

13  13  13  13  13  13  13

Why is it so?

It is a simple trick to the unwaries, actually.

Maths is not that difficult, to start off.
The answers to the above additions seem to be accidental in having the same number.
It is actually not accidental if you think abit.

The answers were intended to be 13 to begin with.

13 = 12 + 1
13 = 11 + 2
13 = 10 + 3  ....  and so on.

Though the additions seems magical with one row in ascending mode while the other row in descending mode, it is the visual maths trick that corrupts and confuses the mind.

If your principles of mathematics is good and strong, you will break through this simple trick in no time.

To excite young minds, this is a good one to try on them.

Happy playing with maths.
Maths is interesting!

:D

Math Challenge 17

This is one that I came across and found to be exciting.

You have to solve using the number 1 to 9 only once.

_ _ _ _ _

0 _ _ _ _ (minus)

3 3 3 3

Any one dare to try?

Math Challenge 16

Jane started off a multiplication process with the number 4.

John followed up by multiplying it by 4 also. This led the result to be 16.

Jane, being her turn now, times the current answer by 4 as required. The answer now is 64.

After a number of alternating multiplication by Jane and John, the result became 4 ,194 ,304.

Guess who did the last x4 operation (without using the calculator or equivalent).

.....


The answer is not as difficult as seems to be. Just a simple stare at the alternate answers will solve the mystery.

Happy thinking.....

;->

Math Challenge 15

This is an interesting one.

Given a special four-digit number, 1978,
we can get the centre two digit (97) by adding
the left-most 2 digits (19) and the right-most 2 digits (78).

Another of this special number is 1538.

Can you get 2 more of this special numbers?

Brain-raking isn't it?

To be frank, it is not that difficult.
Hint: Algebra can solve this maths thinker.

:-)

Math Challenge 14

Sometimes when you go for shopping, you may encounter items on offer.

10% discount, 36% discount, ......

So if a $18 toy is put up at a discount of 25%, and another toy, priced at $25, is at a discount of 18%, which has a bigger reduction in dollars?

Do not use calculator, though, to answer this challenge.
Otherwise all the toys will be gone!

Be quick.....

Answer please.

:D

Math Challenge 13

Once upon a time, there are three numbers. They like to play with each other mathematically.

One day, they decided to add themselves up to see how big they can become.
They kept the answer for future reference.

Another day when they met, they decided this time to multiply themselves.
They got a huge surprise. The answer remained the same as when they added up.

Question: What are the 3 numbers?

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Math Challenge 12

Although math may seem difficult at times, proper use of its principles will render it simple to handle and use.

Here, a bit of algebraic juice can help in solving the below math challenge.

Following the pattern, you will observe a "trick" that you can make use to solve the challenge later.

2² - 1² = 3

3² - 2² = 5

6² - 5² = 11

11² - 9² = 40

The above equations are done without detailed written working, just simple mental calculation.

Challenge:
16² - 14² = ??

Do it without calculator.

What is the answer to the above? At the comment session, please.


Hmmm........ tick tock tick tock

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Math Challenge 11

What is the simplest way to solve the below equation?

cos X = log X.

You may wish to give your suggestions in the comment space.

Hints:
1) There are 3 answers to the above relation.
2) Sometimes technique not related to logarithm or trigonometry can be useful.

Happy thinking ....... (:-)

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Math Challenge (10)

It is time for us to play some math game.

You do not need a university degree to handle this game.

Everyone can play. It is meant to exercise your brain, nothing taxing.

What is this game about?

Challenge

There is a series of numbers that you have to add mathematical operators (+, -, / , x or brackets) to. The addition of these operators has to satisfy the end result though.

Example:
2 2 2 2 = 0 => Solution is 2 + 2 - 2 - 2 = 0

2 2 2 2 = 1
2 2 2 2 = 2
2 2 2 2 = 3
2 2 2 2 = 4
2 2 2 2 = 5
2 2 2 2 = 6
2 2 2 2 = 7
2 2 2 2 = 8
2 2 2 2 = 9

Nothing difficult, right? It is just to get your brain moving, otherwise it will go rusty.

Enjoy yourself.

You may also alter the list to include other numbers.

4 4 5 5 = 1
4 4 5 5 = 2
4 4 5 5 = 3

and so on .......

:-)

Math Challenge 9

Think of a number (Keep the number to yourself).

Add five to it.

Multiply the total by two.

Subtract the original number twice.

Is the answer "TEN"?

Thinker: How is it done?

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Math Challenge 8

Think of a number.
(Do not tell anyone).

Multiply the number by three.

Add six to it.

Divide the total by three.

Subtract the result by the original number that you kept secret.

Is the final answer "TWO"?

Thinker: How is it done? ==> Use Algebra

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Math Challenge 7

By adding only 2 straight lines, how can we change the number 2 0 0 0 2 0 to
2 0 2 0 ?

This is not that difficult if you have attempt the challenge in this link.

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Math Challenge 6

How can you change 2 0 0 2 0 0 2 0 0 2 to 2 0 0 2 by adding 3 straight lines only?

It is not advanced math that we are talking about.
Just elementary level is good enough to solve this thinker.

Enjoy!

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