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पूर्ण सङ्ख्या
(Whole Numbers) – Interactive Math Lab

कक्षा ७ गणित | Class 7 Mathematics | Grade 7

🎓 Smart Classroom 🌐 Bilingual ✨ Interactive
📚 10 Concepts
🎯 50+ Questions
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🌟 3 Levels
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Learn / सिक्नुस्

Concepts & Theory

🔍

Explore / अन्वेषण

Square & Cube Numbers

✏️

Practice / अभ्यास

Interactive Problems

Challenge / चुनौती

Beat the Clock

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My Progress

Analytics & Badges

📌 Topics in This Module / यस पाठमा

1पूर्ण सङ्ख्या (Whole Numbers)
2वर्ग सङ्ख्या (Square Numbers)
3वर्गमूल (Square Root)
4घन (Cube Numbers)
5घनमूल (Cube Root)
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पूर्ण सङ्ख्या — Whole Numbers

Concept Explorer — Drag numbers to their correct category!

📚 Key Definitions / परिभाषाहरू

प्राकृतिक सङ्ख्या

Natural Numbers: 1, 2, 3, 4, ...

पूर्ण सङ्ख्या

Whole Numbers: 0, 1, 2, 3, ...

धन सङ्ख्या

Positive Numbers: 1, 2, 3, ...

🌈 Rainbow Number Line / इन्द्रेणी सङ्ख्या रेखा

🎮 Drag each number to its correct category! (Or touch a number, then touch a category zone)
सङ्ख्यालाई सही खानामा तान्नुस् अथवा सङ्ख्या छोएर सही खानामा थिच्नुस्!

🌿 Natural (प्राकृतिक): 1, 2, 3, 4...

🔵 Whole (पूर्ण): 0, 1, 2, 3...

☀️ Positive (धन): 1, 2, 3, 4...

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वर्ग सङ्ख्या — Square Numbers

Adjust the slider to see square grids grow!

4

Click any example below / तलका उदाहरणहरू क्लिक गर्नुस्

1
4
9
16
25
36
49
64
81
100
10²
169
13²
225
15²

🏠 Real-Life Examples of Squares

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Chess Board
8²=64 squares
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Floor Tiles
n × n tiles
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Square Garden
Area = side²
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Photo Frame
Symmetrical frame
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वर्गमूल — Square Root

Factorize and solve perfect square roots instantly!

⚙️ Square Root Machine / वर्गमूल मेसिन

Enter any perfect square up to 10,000

Prime Factorization:

Click a shortcut to load in the machine:

√4 = 2
√25 = 5
√64 = 8
√100 = 10
√144 = 12
√400 = 20
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घन सङ्ख्या — Cube Numbers

Visualize 3D cubic structures of different dimensions!

3

Click standard examples / उदाहरणहरू हेर्नुस्

1
8
27
64
125
216
⚙️

घनमूल — Cube Root

Deconstruct numbers into identical factor triplets!

🌪️ Cube Root Machine / घनमूल मेसिन

Enter any perfect cube up to 1,000,000

Prime Factorization Triplets:

Click shortcuts / सजिलो बाटो

∛8 = 2
∛27 = 3
∛125 = 5
∛343 = 7
∛1000 = 10
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व्यवहारिक प्रयोग — Real Life Scenarios

Tap on any card to see how these mathematics apply in life!

♟️

Symmetric Sitting Arrangement

A school assembly needs 144 students to sit in equal columns and rows. How many students in each line?

उत्तर / Solution:
समान पङ्क्ति र लहर मिलाउन वर्गमूल निकाल्नुपर्छ।
To form equal rows & columns, we calculate:
$$\sqrt{144} = 12\text{ students per row}$$
🧊

Water Tank Volume

Sita builds a cubical tank holding exactly 125 cubic meters of drinking water. What is the side length?

उत्तर / Solution:
आयतन पत्ता लागेपछि लम्बाइ खोज्न घनमूल निकालिन्छ।
To find the side of a cube from volume:
$$\sqrt[3]{125} = 5\text{ meters length}$$
🏡

Paving Square Courtyard

Harish has a square front-yard with side 15 meters. How many 1m × 1m stone tiles are required?

उत्तर / Solution:
क्षेत्रफल पत्ता लगाउन भुजाको वर्ग गरिन्छ।
To find tiles, calculate the area of the yard:
$$Area = 15 \times 15 = 225\text{ tiles}$$
📝

अभ्यास श्रृंखला — Practice Hub

Test your logic bilingually! Pick a level and solve.

Easy (सजिलो)
Medium (मध्यम)
Hard (कठिन)
LEVEL: EASY Question 1 of 5

loading question...

🏆

गति परीक्षा — Speed Challenge

Answer as many as you can in 30 seconds!

30s

Ready to break records?

Earn special speed badges based on your performance.

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मेरो प्रगति विवरण — Analytics Dashboard

Track your trophies, badges, and learning statistics!

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Module Mastery / पाठ पकड 10%

📈 Concept Progression Chart

Intro
Explore
Square
Sqrt
Cube
Cbrt

🏆 Accomplished Achievements

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Lab Scholar

Log into the laboratory
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Concept Sorting Maestro

Complete all sorting exercises
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Square Titan

Explore square geometry slider
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Dimensional Explorer

Explore isometric cubes up to 6

Lightning Solver

Score 5+ in speed challenge