Get comprehensive solutions to all NCERT Class 6 Maths questions with detailed step-by-step explanations. Our expert-prepared answers help students understand mathematical concepts clearly and build a strong foundation.
Q1. Write the number name for 5,67,890.
Answer: Five lakh sixty-seven thousand eight hundred ninety.
Q2. Round off 4,567 to the nearest thousand.
Answer: 4,567 rounded to the nearest thousand is 5,000.
Q3. Estimate: 578 + 161
Answer: 578 ≈ 600, 161 ≈ 200
Estimated sum = 600 + 200 = 800
Q1. Find the factors of 24.
Answer: Factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
Q2. Find the LCM of 12 and 18.
Answer:
12 = 2² × 3
18 = 2 × 3²
LCM = 2² × 3² = 4 × 9 = 36
Q3. Check if 17 is a prime number.
Answer: Yes, 17 is a prime number because it has only two factors: 1 and 17.
Q1. Add: (-5) + (+3)
Answer: (-5) + (+3) = -2
Q2. Subtract: (+7) - (-4)
Answer: (+7) - (-4) = (+7) + (+4) = +11
Q3. Which is greater: -8 or -3?
Answer: -3 is greater than -8 because -3 is closer to 0 on the number line.
Q1. Convert 3/4 to its equivalent fraction with denominator 12.
Answer: 3/4 = (3×3)/(4×3) = 9/12
Q2. Add: 2/5 + 1/3
Answer:
LCM of 5 and 3 = 15
2/5 = 6/15, 1/3 = 5/15
2/5 + 1/3 = 6/15 + 5/15 = 11/15
Q3. Which is greater: 3/7 or 4/9?
Answer:
3/7 = 27/63, 4/9 = 28/63
Since 28/63 > 27/63, therefore 4/9 > 3/7
Q1. Convert 0.75 to a fraction.
Answer: 0.75 = 75/100 = 3/4
Q2. Add: 12.5 + 3.75
Answer: 12.5 + 3.75 = 16.25
Q3. Which is smaller: 0.8 or 0.08?
Answer: 0.08 is smaller than 0.8
Q1. Find the perimeter of a rectangle with length 12 cm and breadth 8 cm.
Answer: Perimeter = 2(l + b) = 2(12 + 8) = 2 × 20 = 40 cm
Q2. Find the area of a square with side 9 cm.
Answer: Area = side² = 9² = 81 sq cm
Q3. A rectangular field is 25 m long and 15 m wide. Find its area and perimeter.
Answer:
Area = 25 × 15 = 375 sq m
Perimeter = 2(25 + 15) = 2 × 40 = 80 m
Q1. If x = 5, find the value of 3x + 2.
Answer: 3x + 2 = 3(5) + 2 = 15 + 2 = 17
Q2. Write an expression for "5 more than twice a number n".
Answer: 2n + 5
Q3. Solve: x + 7 = 12
Answer: x = 12 - 7 = 5
Q1. Find the ratio of 15 to 25 in simplest form.
Answer: 15:25 = 3:5 (dividing by 5)
Q2. If 3 pens cost ₹45, find the cost of 7 pens.
Answer:
Cost of 1 pen = ₹45 ÷ 3 = ₹15
Cost of 7 pens = ₹15 × 7 = ₹105
Q3. Check if 4:6 and 6:9 are in proportion.
Answer:
4:6 = 2:3 and 6:9 = 2:3
Since both ratios are equal, they are in proportion.
Q: How many chapters are there in Class 6 Maths?
A: There are 14 chapters in NCERT Class 6 Maths covering various mathematical topics.
Q: Which topics are most important in Class 6 Maths?
A: Important topics include fractions, decimals, integers, algebra basics, mensuration, and ratio-proportion.
Q: How can I improve my problem-solving skills in Class 6 Maths?
A: Practice regularly, understand concepts clearly, solve different types of problems, and use visual aids for better comprehension.
