Primary School Math Problem

[kitsooftlk]

අල්ගෙබ්රා දැනුමක් නැත්තම් කොටුවෙයි බොලෙයි බර 6KGයි නම් පළවෙනි තරාදියෙන් කොටු දෙකයි බෝල දෙකයි ගන්නවා. ඒ කියන්නෙ 12KGක් එතකොට තනි බෝලයක් ඉතිරි වෙනවා. එතකොට බොලෙ බර 2KG. කොටුවෙ බර 4KG

Algebra kiyala neda tiyenne

 

[Candid-B]

Algebra kiyala neda tiyenne

ඔව් බන්. අල්ගෙබ්රා නොහොත් වීජ ගණිතය.

 

[tharakaf]

Spoiler

Aaah didn't see this

 

[Amew]

This is suposedly a question for 8 year olds in Singapore. The two scales show the weights of the cubes & spheres.
Find the weight of a sphere.

PS: 8 year olds haven't possibly got a knowledge about algebra. So can you think how a child could solve this?

දකුණු පැත්ත දෙකෙන් වැඩි කරල වමෙන් අඩු කරන්නව

 

[Candid-B]

ඊයා බන් මුන් යූටියුබ් වීඩියෝත් බලලා. ඇටේ තලන්න ඕන.

 

[imhotep]

ඔව් බන්. අල්ගෙබ්රා නොහොත් වීජ ගණිතය.

AL Gebra and Al Gorithm - both attributed to Muhammad ibn Musa al-Khwarizmi who was a prominent arab mathematician.

 

[kitsooftlk]

ඔව් බන්. අල්ගෙබ්රා නොහොත් වීජ ගණිතය.

hari hari.... mama mechchara kal okata kiwwe ඇල්ජි්බ්‍රා කියලනේ

 

[Candid-B]

hari hari.... mama mechchara kal okata kiwwe ඇල්ජි්බ්‍රා කියලනේ

උබ හරි. මම නිවැරදියි. හරි වචනේ ඕක තමයි.

 

[B.Chat]

යන්තං ඇති 8 වසරේ දැනුම තියෙනවා
අයියෝ අවුරුදු 8 ක නේ

 

[Bigfatbaby]

This is suposedly a question for 8 year olds in Singapore. The two scales show the weights of the cubes & spheres.
Find the weight of a sphere.

PS: 8 year olds haven't possibly got a knowledge about algebra. So can you think how a child could solve this?

New problem.

102756832=4
134652299=3
199375211=2
101010108=6
111111111=0
652299000=6

831993101=???

 

[kitsooftlk]

To solve the pattern in the given equations, let's analyze the provided equations:

1. \(102756832 = 4\)
2. \(134652299 = 3\)
3. \(199375211 = 2\)
4. \(101010108 = 6\)
5. \(111111111 = 0\)
6. \(652299000 = 6\)

Observing the results, we can notice that they seem to relate to the number of closed loops or enclosed areas in the digits of each number. Here's a breakdown:

- **Digit 0** has 1 enclosed area.
- **Digit 1** has 0 enclosed areas.
- **Digit 2** has 0 enclosed areas.
- **Digit 3** has 0 enclosed areas.
- **Digit 4** has 1 enclosed area.
- **Digit 5** has 0 enclosed areas.
- **Digit 6** has 1 enclosed area.
- **Digit 7** has 0 enclosed areas.
- **Digit 8** has 2 enclosed areas.
- **Digit 9** has 1 enclosed area.

Let's apply this idea to each given number:

1. **102756832**
- 1: 0 enclosed areas
- 0: 1 enclosed area
- 2: 0 enclosed areas
- 7: 0 enclosed areas
- 5: 0 enclosed areas
- 6: 1 enclosed area
- 8: 2 enclosed areas
- 3: 0 enclosed areas
- 2: 0 enclosed areas
- Total enclosed areas: 1 + 1 + 2 = 4 (Matches)

2. **134652299**
- 1: 0 enclosed areas
- 3: 0 enclosed areas
- 4: 1 enclosed area
- 6: 1 enclosed area
- 5: 0 enclosed areas
- 2: 0 enclosed areas
- 2: 0 enclosed areas
- 9: 1 enclosed area
- 9: 1 enclosed area
- Total enclosed areas: 1 + 1 + 1 + 1 = 4 (However, the answer given is 3, suggesting a possible typo or discrepancy in the pattern.)

3. **199375211**
- 1: 0 enclosed areas
- 9: 1 enclosed area
- 9: 1 enclosed area
- 3: 0 enclosed areas
- 7: 0 enclosed areas
- 5: 0 enclosed areas
- 2: 0 enclosed areas
- 1: 0 enclosed areas
- 1: 0 enclosed areas
- Total enclosed areas: 1 + 1 = 2 (Matches)

4. **101010108**
- 1: 0 enclosed areas
- 0: 1 enclosed area
- 1: 0 enclosed areas
- 0: 1 enclosed area
- 1: 0 enclosed areas
- 0: 1 enclosed area
- 1: 0 enclosed areas
- 0: 1 enclosed area
- 8: 2 enclosed areas
- Total enclosed areas: 1 + 1 + 1 + 1 + 2 = 6 (Matches)

5. **111111111**
- 1: 0 enclosed areas (repeated 9 times)
- Total enclosed areas: 0 (Matches)

6. **652299000**
- 6: 1 enclosed area
- 5: 0 enclosed areas
- 2: 0 enclosed areas
- 2: 0 enclosed areas
- 9: 1 enclosed area
- 9: 1 enclosed area
- 0: 1 enclosed area
- 0: 1 enclosed area
- 0: 1 enclosed area
- Total enclosed areas: 1 + 1 + 1 + 1 + 1 = 6 (Matches)

Now, applying this pattern to **831993101**:

- 8: 2 enclosed areas
- 3: 0 enclosed areas
- 1: 0 enclosed areas
- 9: 1 enclosed area
- 9: 1 enclosed area
- 3: 0 enclosed areas
- 1: 0 enclosed areas
- 0: 1 enclosed area
- 1: 0 enclosed areas

Total enclosed areas: 2 + 1 + 1 + 1 = 5

So, \(831993101 = 5\).

---

me ChatGPT honde
------ Post added on Aug 7, 2024 at 7:16 PM

 

[Ramiel]

යන්තං ඇති 8 වසරේ දැනුම තියෙනවා

8 years old ≠ 8 වසරේ

 

[J Starlin]

යන්තං ඇති 8 වසරේ දැනුම තියෙනවා

Grade 8.

 

[AnuradhaRa]

බෝලයකුයි කොටුවකුයි 6 ක් බරයි

බෝල දෙකකුයි කොටු දෙදකුයි 12 ක් බරයි, 6 යේ සෙට් දෙකක් නිසා

බෝල තුනකුයි කොටු දෙකකුයි 14 ක් බරයි, 6 යේ සෙට් දෙකයි තව බෝලෙකුයි

ඉතිං වැඩිපුර තියෙන බෝලෙ 2 ක් බරයි

දකුණු පැත්තෙ තියෙන තරාදියට අනුව කොටුවක් එතකොට 4ක් බරයි

 

[B.Chat]

8 years old ≠ 8 වසරේ

Grade 8.

ආ පොඩ්ඩක් පැටලිලා ඒ ටික එහෙන් මෙහෙන් කියවලා image එක බැලුවේ. ආයේ විස්තරේ බැලුවත් නෑ. ගැටලුවට අවධානය ගැඹුරින් යොමු කරේ. පොඩ්ඩක් මෙව්වා වෙලා. යොමු කරා හපොයි අවුරුදු 8ක එකෙක්ගේ දැනුම තියෙන්නේ

 

[AnuradhaRa]

ආ හරියට කියෙව්වේ නෑ ඒ ටික එහෙන් මෙහෙන් කියවලා image එක බැලුවේ. හපොයි අවුරුදු 8ක එකෙක්ගේ දැනුම තියෙන්නේ

ඒ කියන්නෙ තුන වසර වගේ මචං
අපේ කාලෙ එක වසරට ළමයි දැම්මෙ අවුරුදු 6න්ද කොහෙද...

දැං මං හිතන්නෙ අවුරුදු 5 න් දානව, මං හරිද..

 

[Bigfatbaby]

To solve the pattern in the given equations, let's analyze the provided equations:

1. \(102756832 = 4\)
2. \(134652299 = 3\)
3. \(199375211 = 2\)
4. \(101010108 = 6\)
5. \(111111111 = 0\)
6. \(652299000 = 6\)

Observing the results, we can notice that they seem to relate to the number of closed loops or enclosed areas in the digits of each number. Here's a breakdown:

- **Digit 0** has 1 enclosed area.
- **Digit 1** has 0 enclosed areas.
- **Digit 2** has 0 enclosed areas.
- **Digit 3** has 0 enclosed areas.
- **Digit 4** has 1 enclosed area.
- **Digit 5** has 0 enclosed areas.
- **Digit 6** has 1 enclosed area.
- **Digit 7** has 0 enclosed areas.
- **Digit 8** has 2 enclosed areas.
- **Digit 9** has 1 enclosed area.

Let's apply this idea to each given number:

1. **102756832**
- 1: 0 enclosed areas
- 0: 1 enclosed area
- 2: 0 enclosed areas
- 7: 0 enclosed areas
- 5: 0 enclosed areas
- 6: 1 enclosed area
- 8: 2 enclosed areas
- 3: 0 enclosed areas
- 2: 0 enclosed areas
- Total enclosed areas: 1 + 1 + 2 = 4 (Matches)

2. **134652299**
- 1: 0 enclosed areas
- 3: 0 enclosed areas
- 4: 1 enclosed area
- 6: 1 enclosed area
- 5: 0 enclosed areas
- 2: 0 enclosed areas
- 2: 0 enclosed areas
- 9: 1 enclosed area
- 9: 1 enclosed area
- Total enclosed areas: 1 + 1 + 1 + 1 = 4 (However, the answer given is 3, suggesting a possible typo or discrepancy in the pattern.)

3. **199375211**
- 1: 0 enclosed areas
- 9: 1 enclosed area
- 9: 1 enclosed area
- 3: 0 enclosed areas
- 7: 0 enclosed areas
- 5: 0 enclosed areas
- 2: 0 enclosed areas
- 1: 0 enclosed areas
- 1: 0 enclosed areas
- Total enclosed areas: 1 + 1 = 2 (Matches)

4. **101010108**
- 1: 0 enclosed areas
- 0: 1 enclosed area
- 1: 0 enclosed areas
- 0: 1 enclosed area
- 1: 0 enclosed areas
- 0: 1 enclosed area
- 1: 0 enclosed areas
- 0: 1 enclosed area
- 8: 2 enclosed areas
- Total enclosed areas: 1 + 1 + 1 + 1 + 2 = 6 (Matches)

5. **111111111**
- 1: 0 enclosed areas (repeated 9 times)
- Total enclosed areas: 0 (Matches)

6. **652299000**
- 6: 1 enclosed area
- 5: 0 enclosed areas
- 2: 0 enclosed areas
- 2: 0 enclosed areas
- 9: 1 enclosed area
- 9: 1 enclosed area
- 0: 1 enclosed area
- 0: 1 enclosed area
- 0: 1 enclosed area
- Total enclosed areas: 1 + 1 + 1 + 1 + 1 = 6 (Matches)

Now, applying this pattern to **831993101**:

- 8: 2 enclosed areas
- 3: 0 enclosed areas
- 1: 0 enclosed areas
- 9: 1 enclosed area
- 9: 1 enclosed area
- 3: 0 enclosed areas
- 1: 0 enclosed areas
- 0: 1 enclosed area
- 1: 0 enclosed areas

Total enclosed areas: 2 + 1 + 1 + 1 = 5

So, \(831993101 = 5\).

---

me ChatGPT honde
------ Post added on Aug 7, 2024 at 7:16 PM

Answer is Correct, but the enclosure area should be without corners like circles or oval shapes. ChatGPT missed that. Simply just count the circles.
This was in IESL news paper very long time ago, like 10-15 years ago, when Chathpt was not available. An Olympiad math problem I think.

 

[LajjaNathiBayya]

---

ඔය වයසේ පොඩි උන්ට තේරෙන්නේ ඔහොම
------ Post added on Aug 8, 2024 at 10:08 AM

 

[Stimulus mind]

Bump

 

[kitsooftlk]

Answer is Correct, but the enclosure area should be without corners like circles or oval shapes. ChatGPT missed that. Simply just count the circles.
This was in IESL news paper very long time ago, like 10-15 years ago, when Chathpt was not available. An Olympiad math problem I think.

without corners gaththoth 6 ganna baneda?