Multiples of a Number

• A multiple is the result of multiplying a number by 1, 2, 3, …
• List multiples and find the nth multiple.
• Count multiples in a given range — useful for LCM problems later.

Level 1 — Definition

Multiples of 4: 4, 8, 12, 16, 20, … (4 × 1, 4 × 2, 4 × 3, …)

Verbal: Multiples are times-table answers — they grow by skip counting.

Level 2 — nth multiple

Rule: nth multiple of a = a × n.

Level 3 — Multiples in a range

Multiples of 6 between 20 and 50: 24, 30, 36, 42, 48 → 5 multiples.

Level 4 — Factor vs multiple (link)

3 is a factor of 12; 12 is a multiple of 3. Same relationship, two views.

Indian context: Auto-rickshaw fare ₹15 per km — distances 15, 30, 45, 60 m are multiples of 15.

NCERT anchor: Math-Magic 4, Ch 11 — Tables and Shares; Ch 10 — Play with Patterns (skip counting on number line)

First five multiples of 9

Step 1 — 9×1=9, 9×2=18, 9×3=27, 9×4=36, 9×5=45.
Answer: **9, 18, 27, 36, 45**

How many multiples of 8 lie between 50 and 100?

Step 1 — 8×7=56 (first above 50); 8×8=64; 8×9=72; 8×10=80; 8×11=88; 8×12=96.
Step 2 — 8×13=104 (too big).
Answer: **6 multiples** (56, 64, 72, 80, 88, 96)

• Write first six multiples of 7.
• What is the 12th multiple of 4? (48)
• Is 54 a multiple of 9? (yes)
• Stretch: Find the smallest 3-digit multiple of 8. (104)

Revision tip: On a number line, mark multiples of 6 in one colour and multiples of 9 in another — spot where they coincide (LCM preview).

Open the Practice tab for graded questions on Multiples of a Number.

• Use the platform-native live simulation or PhET-style tool for this topic (number line, Venn, physics playground, molecule builder, sensor dashboard, etc.).
• Mirror / body / home activity: physically do the concept (count objects, measure, role-play) and photograph or describe for portfolio.
• Voice or text reflection with AI Mentor: explain the concept to a younger student or family member.

• "Explain this concept to a Class 6 student using one real example from an Indian home, school, market, or festival."
• "What is one common mistake students make here, and how would you catch yourself making it?"
• Stretch: "How does this connect to coding, robotics, money, health, environment, or a future career?"

• Complete the core practice + one extension activity (photo, table, short reflection, or mini-project) for base XP + topic badge.
• 5-7 day streak or family discussion note = multiplier + visible artifact in parent/principal dashboard.
• Best real-world application stories (anonymised) featured on class or national leaderboard.

• One hands-on project or measurement using the Drishti kit or household items that makes the concept physical.
• Direct link to at least one Future Skill track (Money Management, Green Tech, Cyber Defenders, Micro-Entrepreneurship, AI Mastery, Sustainable Living, Personality Development).
• Coding extension where relevant (simple script, simulation, or data logging).

This material emphasises experiential "learning by doing", competency (apply/create/analyse), vocational exposure, critical thinking, and multidisciplinary connections. Designed to feed live worlds, AI Mentor (with memory), gamification, robotics, parent analytics, and future skills — not just exam prep.

Portfolio Evidence Idea: Your photo/table/reflection/project + one sentence on "How this helps me in real life or a possible future path."

Open the Practice tab for aligned questions (easy/medium/hard + case-based) with full AI scaffolding.

See curriculum for cross-links and the full future-skills/robotics chapters.