Multiplication Tables of 6 and 7
The multiplication tables of 6 and 7 build on the tables of 2, 3, and 5 that students already know. Table of 6 is related to table of 3 (double it), and table of 7 introduces some of the larger single-digit products.
Knowing these tables helps with quick calculations, division problems, and daily-life situations like counting days of the week (7) or half-dozens (6).
What is Multiplication Tables of 6 and 7 - Class 3 Maths (Multiplication (Grade 3))?
Table of 6:
| 6 × | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| = | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 |
Table of 7:
| 7 × | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| = | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 |
Pattern in table of 6: All products are even. The ones digits cycle: 6, 2, 8, 4, 0, 6, 2, 8, 4, 0.
Pattern in table of 7: The ones digits cycle: 7, 4, 1, 8, 5, 2, 9, 6, 3, 0.
Solved Examples
Example 1: Product from Table of 6
Question: What is 6 × 8?
Think:
- 6 × 8 = ?
- Use: 6 × 8 = (3 × 8) × 2 = 24 × 2 = 48
- Or skip count: 6, 12, 18, 24, 30, 36, 42, 48
Answer: 6 × 8 = 48
Example 2: Product from Table of 7
Question: What is 7 × 6?
Think:
- 7 × 6 = 42
- Same as 6 × 7 = 42 (commutative property)
Answer: 7 × 6 = 42
Example 3: Word Problem — Eggs in a Tray
Question: A tray holds 6 eggs. How many eggs are in 9 trays?
Think:
- 9 × 6 = 54
Answer: There are 54 eggs in 9 trays.
Example 4: Word Problem — Days in Weeks
Question: How many days are there in 4 weeks?
Think:
- 1 week = 7 days
- 4 weeks = 4 × 7 = 28 days
Answer: There are 28 days in 4 weeks.
Example 5: Missing Factor — Table of 6
Question: 6 × ___ = 36.
Think:
- Skip count by 6: 6, 12, 18, 24, 30, 36
- 36 is the 6th multiple
Answer: 6 × 6 = 36.
Example 6: Missing Factor — Table of 7
Question: 7 × ___ = 49.
Think:
- 7, 14, 21, 28, 35, 42, 49
- 49 is the 7th multiple
Answer: 7 × 7 = 49.
Example 7: Comparing Products
Question: Which is greater: 6 × 9 or 7 × 8?
Think:
- 6 × 9 = 54
- 7 × 8 = 56
- 56 > 54
Answer: 7 × 8 = 56 is greater.
Example 8: Word Problem — Cricket Team Practice
Question: A cricket coaching camp runs for 6 weeks. Each week, they practise 7 days. How many days of practice in total?
Think:
- 6 × 7 = 42
Answer: 42 days of practice.
Example 9: Doubling Table of 3 to Get Table of 6
Question: If 3 × 9 = 27, what is 6 × 9?
Think:
- 6 = 2 × 3
- 6 × 9 = 2 × (3 × 9) = 2 × 27 = 54
Answer: 6 × 9 = 54
Example 10: Word Problem — Sticker Collection
Question: Meera collects 7 stickers every day. How many stickers does she collect in 10 days?
Think:
- 10 × 7 = 70
Answer: Meera collects 70 stickers in 10 days.
Real-World Applications
Where are tables of 6 and 7 used?
- Table of 6: Eggs in half-dozens → 4 half-dozens = 4 × 6 = 24 eggs. Insects have 6 legs → 8 insects = 8 × 6 = 48 legs. A cricket over has 6 balls.
- Table of 7: Days in a week → 3 weeks = 3 × 7 = 21 days. Rainbow has 7 colours. Music has 7 notes (Sa, Re, Ga, Ma, Pa, Dha, Ni).
- Sports: A cricket match has bowling overs of 6 balls. In a 50-over match, total balls = 50 × 6 = 300.
- Scheduling: If a class meets 7 times a week, in 4 weeks it meets 4 × 7 = 28 times.
These tables connect mathematics to nature (insect legs, rainbow colours) and daily routines (weeks, cricket). Practice until they become automatic.
Key Points to Remember
- Table of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
- Table of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70.
- Table of 6 = double of table of 3.
- All products in the table of 6 are even.
- 7 × 7 = 49 is the only odd square in this table.
- Common multiple of 6 and 7: 42 (6 × 7 = 7 × 6 = 42).
Practice Problems
- What is 6 × 7?
- What is 7 × 9?
- Fill in: 6 × ___ = 42.
- Fill in: 7 × ___ = 63.
- How many days in 8 weeks?
- A box has 6 bananas. How many bananas in 5 boxes?
- Which is more: 6 × 6 or 7 × 5?
- Aman gets ₹7 pocket money daily. How much in 10 days?
Frequently Asked Questions
Q1. How do I remember the table of 6?
Double the table of 3. If 3 × 4 = 12, then 6 × 4 = 24. Also practise skip counting by 6 and notice the ones digit pattern: 6, 2, 8, 4, 0.
Q2. How do I remember the table of 7?
The table of 7 has no doubling shortcut, so practice and repetition are key. Link facts to real life: 7 days in a week (2 weeks = 14, 3 weeks = 21, etc.).
Q3. Why is 7 × 8 = 56 hard to remember?
It is one of the most commonly forgotten multiplication facts. A memory trick: think '5, 6, 7, 8' → 56 = 7 × 8. The digits are in sequence: 5-6-7-8.
Q4. Is 6 × 7 the same as 7 × 6?
Yes. Multiplication is commutative. Both equal 42.
Q5. What is special about 6 × 6?
6 × 6 = 36 is a perfect square. It means 6 rows of 6 objects form a square array.
Q6. What is special about 7 × 7?
7 × 7 = 49 is a perfect square. It is the only product in the table of 7 (up to 10) that is odd × odd = odd.
Q7. How are tables of 6 and 7 used in daily life?
Table of 6 is used when counting half-dozens (eggs, cupcakes). Table of 7 is used for weeks and schedules. Both are needed for division and higher multiplication.
Q8. What number is common in both tables?
42 is the smallest common multiple. 6 × 7 = 42 and 7 × 6 = 42. The next common multiple is 84.
Related Topics
- Multiplication Tables of 3 and 4
- Multiplication Tables of 8 and 9
- Multiplication Concept (Grade 3)
- Multiplication by 10 and 100
- Multiplication of 2-Digit by 1-Digit
- Multiplication Word Problems (Grade 3)
- Properties of Multiplication
- Multiplying by 0 and 1
- Multiplication Tables (2 to 10)
- Multiplication of 2-Digit Numbers (Grade 3)
