Number Play — Class 8 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 8 Mathematics chapter "Number Play" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 8 Mathematics chapter "Number Play" — 8 important questions with detailed answers for CBSE board exam prep…

By Syllab.in · Updated Jun 14, 2026

Key Questions Covered:

Check if 7845 is divisible by 3 without performing the division.
Write the first five terms of the pattern: 2, 4, 8, 16, ...
Check if 5830 is divisible by 10.
Find the pattern and write the next three terms: 3, 6, 12, 24, ...
Is 9201 divisible by 9? Use the divisibility rule.
Write the pattern rule for: 1, 4, 9, 16, 25, ... in algebraic form.
+ 2 more questions in the full chapter

Solutions Summary:

Question	Status
Check if 7845 is divisible by 3 without performing the di…	✓ Solved
Write the first five terms of the pattern: 2, 4, 8, 16, ...	✓ Solved
Check if 5830 is divisible by 10.	✓ Solved
Find the pattern and write the next three terms: 3, 6, 12…	✓ Solved
Is 9201 divisible by 9? Use the divisibility rule.	✓ Solved
Write the pattern rule for: 1, 4, 9, 16, 25, ... in algeb…	✓ Solved

Showing 6 of 8 questions

Q1: Check if 7845 is divisible by 3 without performing the division.

We use the divisibility rule for 3. Step 1: Recall the divisibility rule for 3 A number is divisible by 3 if the sum of its digits is divisible by 3. Step 2: Find the sum of digits of 7845 Digits: 7, 8, 4, 5 Sum = 7 + 8 + 4 + 5 = 24 Step 3: Check if 24 is divisible by 3 24 ÷ 3 = 8 (no remainder) ✓ 24 is divisible by 3 Step 4: Conclusion Since the sum of digits (24) is divisible by 3, the number 7845 is divisible by 3. Step 5: Verification (optional) 7845 ÷ 3 = 2615 Answer: Yes, 7845 is div...

Q2: Write the first five terms of the pattern: 2, 4, 8, 16, ...

We need to identify the pattern and write five terms. Step 1: Analyze the sequence Term 1: 2 Term 2: 4 Term 3: 8 Term 4: 16 Step 2: Find the relationship between consecutive terms 4 = 2 × 2 8 = 4 × 2 16 = 8 × 2 Each term is 2 times the previous term. Step 3: This is a geometric sequence with first term a = 2 and common ratio r = 2 General term: aₙ = 2 × 2ⁿ⁻¹ = 2ⁿ Step 4: Write the first five terms Term 1: 2¹ = 2 Term 2: 2² = 4 Term 3: 2³ = 8 Term 4: 2⁴ = 16 Term 5: 2⁵ = 32 Step 5: Verify E...

Q3: Check if 5830 is divisible by 10.

We use the divisibility rule for 10. Step 1: Recall the divisibility rule for 10 A number is divisible by 10 if its units digit (last digit) is 0. Step 2: Check the last digit of 5830 The number is 5830 Last digit = 0 Step 3: Conclusion Since the last digit is 0, the number 5830 is divisible by 10. Step 4: Verification 5830 ÷ 10 = 583 (no remainder) Answer: Yes, 5830 is divisible by 10 because its units digit is 0

Q4: Find the pattern and write the next three terms: 3, 6, 12, 24, ...

We need to find the rule for this sequence and extend it. Step 1: Analyze the sequence Term 1: 3 Term 2: 6 Term 3: 12 Term 4: 24 Step 2: Find the relationship between consecutive terms 6 = 3 × 2 12 = 6 × 2 24 = 12 × 2 Each term is 2 times the previous term. Step 3: This is a geometric sequence with first term a = 3 and common ratio r = 2 General term: aₙ = 3 × 2ⁿ⁻¹ Step 4: Find the next three terms Term 5: 24 × 2 = 48 Term 6: 48 × 2 = 96 Term 7: 96 × 2 = 192 Or using the formula: Term 5: 3...

Q5: Is 9201 divisible by 9? Use the divisibility rule.

We use the divisibility rule for 9. Step 1: Recall the divisibility rule for 9 A number is divisible by 9 if the sum of its digits is divisible by 9. Step 2: Find the sum of digits of 9201 Digits: 9, 2, 0, 1 Sum = 9 + 2 + 0 + 1 = 12 Step 3: Check if 12 is divisible by 9 12 ÷ 9 = 1 remainder 3 ✗ 12 is NOT divisible by 9 Step 4: Conclusion Since the sum of digits (12) is not divisible by 9, the number 9201 is not divisible by 9. Step 5: Verification 9201 ÷ 9 = 1022.333... (not a whole number)...

Q6: Write the pattern rule for: 1, 4, 9, 16, 25, ... in algebraic form.

We need to identify what the pattern represents and write its rule. Step 1: Analyze the sequence Term 1: 1 Term 2: 4 Term 3: 9 Term 4: 16 Term 5: 25 Step 2: Recognize these as perfect squares 1 = 1² 4 = 2² 9 = 3² 16 = 4² 25 = 5² Step 3: Write the pattern For the nth term, the value is n² Step 4: General formula aₙ = n² where n = position of the term (1st, 2nd, 3rd, ...) Step 5: Verify a₁ = 1² = 1 ✓ a₂ = 2² = 4 ✓ a₃ = 3² = 9 ✓ a₄ = 4² = 16 ✓ a₅ = 5² = 25 ✓ Answer: The pattern rule is aₙ = n...

Showing 6 of 8 questions. Visit the full page for complete solutions.