Tests

Take a close look at the picture below. Can you find 18 or more triangles on it?

If so, congratulations! Your IQ is above 120.

Check your IQ

Even if geometry was never yours strong point at school, try to find 18 triangles in the picture.

According to experts, only those with a value of 120 or higher can see 18 triangles or more.

So, did you manage to see 18 triangles? Or maybe you could find more shapes in the picture?

Another claimed to have found 24 triangles and even provided evidence for this.

The third came up with a convenient letter coding system for finding all the figures.

Now try to train your abilities with the help of simple logical problems, which a smart child is quite capable of handling.

Logic problems with answers

Task number 1:

There is a table in front of you. How many corners will he have if one of them is cut off?

a) 3 corners;

b) 4 corners;

c) 5 corners;

d) 6 corners.

Task number 2:

There are 3 apples and 4 carrots in the refrigerator. The hostess took one carrot for the salad. How many fruits are left in the refrigerator in the end?

a) 3 fruits;

b) 4 fruits;

c) 6 fruits;

d) 7 fruits.

Problem number 3:

At the racetrack, you see 6 pairs of horse legs. How many horses are there in the racetrack?

a) 3 horses;

b) 4 horses;

c) 8 horses;

d) 12 horses.

A week ago, I gave the students of my mini-groups the task to count all the triangles that make up two drawings:

Exercise 1.

For implementation similar tasks need to be approached systematically. (This is what I teach children who are going to enter the 5th grade of mathematical gymnasiums and lyceums, at my mathematics circle and in mini-groups in Novye Cheryomushki.)

Let's number all the elements of the light triangle.

1. Out of 1 element: 1, 2, 3, 5 - only 4 triangles (some children automatically enroll elements No. 4 and No. 6 in triangles - this is wrong!).

2. Of 2 elements: 12, 34, 56, 13, 35, 24 - 6 triangles in total.

3. Of 3 elements: 135, 246 - 2 triangles.

4. Of 4 elements: 1234 and 3456 - 2 triangles.

5. Out of 5 elements - nothing.

6. Out of 6 elements - the only one is 123456.

Total: 15 triangles.

Task 2.

A difficult task that requires attention, perseverance and accuracy in calculations from children. Let's number all the elements of the light triangle, and the numbers from 1 to 9 are not enough for us. We use 10, 11 and 12.

Let us write out in turn triangles consisting of one element, of two, of three, etc.

1. From 1 element: all from 1 to 12 are triangles. There are 12 of them.

3. Out of 3 elements - we will find them only in the inner triangle. 289, 36 10, 823, 9 10 6, 10 98, 632. There are 6 of them.

4. Of 4 elements: 1234, 1236, 789 10, 789 11, 12 10 63, 12 10 65, 289 11, 4328, 56 10 9. Collected 9 more triangles.

5. Out of 5 elements - found nothing. Who will find - write, I will declare gratitude.

6. Out of 6 elements: 123456, 789 10 11 12, 12789 11, 12 10 6345, 56 10 9 11 12, 432178 - 6 more pieces were dug up. Plus central: 236 10 98. Total - 7 triangles.

7. Well, the largest, of 12 elements - 1 triangle.

Briefly:
1 — 12
2 — 12
3 — 6
4 — 9
6 — 7
12 — 1

Total: 47 triangles. (Many thanks to mums Anton and Marusya who helped me find the missing triangles of 4 elements).

Poor students of mine ...

I sympathize. But if they have to surrender entrance exams to our mathematical schools of the South-West (1533, 1534, 1543, 2007, L2Sh, 1514, etc.) or to participate in the Olympiads, then such brain training will only benefit them.

So new tasks await them. Something is easier, something is heavier. Admission to good school it's worth working hard on assignments that are just a little outside the scope of the school curriculum.

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There is a legend according to which on the door of the academy, where Plato taught his students, there was a sign with the inscription: "Let him not enter here who does not know geometry." The basics of this science are known to every student. But, as it turned out, the geometric mindfulness problem confused many adults.

We are in site they could not even imagine that a puzzle in which you just need to count the number of triangles in the picture would be such a tough nut to crack.

It all started with the fact that the Australian under the nickname @thomas_violence published a post on his Twitter, where he drew attention to the fact that a simple math problem caused serious difficulties and disagreements among other users.

curing my hangover by taking pleasure in the absurd confidence with which people are wrongly answering this Facebook post pic.twitter.com/Rsez8EeMbw

- thomas violence (@thomas_violence) April 8, 2018

"Treating my hangover, enjoying the absurd confidence with which people mistakenly respond to this Facebook post."

The answers of the people caused complete bewilderment among the author of the post. He was sent a variety of options, numbering from 5 to 25 triangles. Thomas began posting the funniest guesses on his Twitter, wondering how such a seemingly easy math problem could cause so much controversy.

Jokes aside, how many triangles have you counted in this picture?

And here are all the triangles

After all, a girl with a nickname @ProphetOfFlame not only counted the required number of triangles, but also illustrated the solution to this problem on her twitter.

As you can see, their whole 18 , which, however, did not prevent some users from finding much more: apparently, they thought that trapezoids could also pass for triangles. Most often, the incorrect answers included values ​​from 12 to 15.

Take a close look at the picture below.
Can you find 18 or more triangles on it? If so, congratulations! Your IQ is above 120.

Check your IQ

Even if geometry was never your strong point in school, try to find 18 triangles in the picture.

The image, which was originally published in People's Daily China, shows a triangle with several variants of triangles inside it ... Opinions of users about how many triangles are hidden in the picture are divided.
According to experts, only those with a value of 120 or higher can see 18 triangles or more.
So, did you manage to see 18 triangles? Or maybe you could find more shapes in the picture?
Some users social network Twitter shared their achievements. Someone reported that he was able to cope with the task in just 12 seconds. A true genius, isn't it?
Another claimed to have found 24 triangles and even provided evidence for this.

The third came up with a convenient letter coding system for finding all the figures.

Now try to train your abilities with the help of simple logical problems, which a smart child is quite capable of handling.

Logic problems with answers

Answers are listed at the end of the post. Task number 1:

There is a table in front of you. How many corners will he have if one of them is cut off?
a) 3 corners;
b) 4 corners;
c) 5 corners;
d) 6 corners.

Task number 2:

There are 3 apples and 4 carrots in the refrigerator. The hostess took one carrot for the salad. How many fruits are left in the refrigerator in the end?
a) 3 fruits;
b) 4 fruits;
c) 6 fruits;
d) 7 fruits.

Problem number 3:

At the racetrack, you see 6 pairs of horse legs. How many horses are there in the racetrack?
a) 3 horses;
b) 4 horses;
c) 8 horses;
d) 12 horses.

Task number 4:

Friends gave twins James and John a box of sweets for their birthday. Each box contains 12 chocolates. James ate some of the chocolates from his packaging. John did the same, eating as many candies from his box as James had left in the box.
Question: how many sweets did the guys have left for two in the end?

Attention task

Problem number 5: Find the error


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Answers:

Answer # 1: Sawing off one corner results in 5 corners.
Answer # 2: There will still be 3 fruits left in the refrigerator. After all, a carrot is a vegetable, and an apple is a fruit.
Answer # 3: There are 3 horses at the hippodrome. It is logical: 6 pairs of legs is 12 legs. Each animal has 4 limbs. If we divide 12 by 4, we get 3.
Answer # 4: 12 candies.
Answer # 5: Error in the word "Mozhesh". It is written without soft sign after the letter Sh.

25 K

December 20, 2019 09:59

By fabiosa

Men are different. While some are very decent in nature, others like to beat around the bush. Women, especially when they are in love, love with their ears, so it is very easy for us to spend in the candy-bouquet period when we do not see the obvious.

Often men hang the same noodles on our ears.

Here is a kind of cheat sheet, which male phrases you should pay close attention to so as not to be deceived.

1. "I'm only looking for a serious relationship"

George Rudy / Shutterstock.com

It is commendable if this is really so, but often men say this for a catchphrase, in order to quickly take possession of a woman. At the beginning of a relationship, look more at the actions of the boyfriend. They speak louder than any word.

2. "As I saw you, I realized right away - you are the one I have been looking for all my life"

Dima Sidelnikov / Shutterstock.com

Another phrase from the pickup lexicon. Of course, you are a wonderful woman, but how did he manage to see it? It happens that people live for years and every day they learn something new about each other, and then a passing acquaintance, and already - fate? Take your time, take a closer look at him.

3. "We will always be together"

Too arrogant, reckless and hasty. How many ladies has he said that before, I wonder? Here you do not know how the day will turn out tomorrow, but he throws such serious phrases after a couple of days of dating.

4. "Before you, all women were somehow different, but you ..."

Kate Kultsevych / Shutterstock.com

The very fact of being compared with another woman is already ugly behavior on his part. Most likely, he is an ordinary womanizer. A smart man, even if he makes a comparison in your favor, will not voice it.

5. "I want a baby from you"

Stone36 / Shutterstock.com

Many women in serious relationships dream of hearing this phrase. But if you are familiar with nothing at all? Perhaps this is one of the tricks to quickly achieve a woman.

How, according to your observations, men still deceive us? Let us know in the comments!

The information in this article is for informational purposes only and does not replace the advice of a certified specialist.