Get comprehensive solutions to all NCERT Class 7 Maths questions with detailed step-by-step explanations. Our expert-prepared answers help students master advanced mathematical concepts and prepare for higher classes.
Q1. Multiply: (-7) × (+5)
Answer: (-7) × (+5) = -35
Q2. Divide: (-48) ÷ (-6)
Answer: (-48) ÷ (-6) = +8
Q3. Find: (-3) × (-4) × (-5)
Answer: (-3) × (-4) × (-5) = 12 × (-5) = -60
Q1. Multiply: 3/4 × 2/5
Answer: 3/4 × 2/5 = (3×2)/(4×5) = 6/20 = 3/10
Q2. Divide: 2/3 ÷ 4/9
Answer: 2/3 ÷ 4/9 = 2/3 × 9/4 = 18/12 = 3/2
Q3. Multiply: 2.5 × 1.6
Answer: 2.5 × 1.6 = 4.0
Q1. Solve: 3x + 7 = 22
Answer:
3x + 7 = 22
3x = 22 - 7
3x = 15
x = 5
Q2. Solve: 2(x + 3) = 14
Answer:
2(x + 3) = 14
x + 3 = 7
x = 4
Q3. The sum of three consecutive integers is 48. Find the integers.
Answer:
Let the integers be x, x+1, x+2
x + (x+1) + (x+2) = 48
3x + 3 = 48
3x = 45, x = 15
The integers are 15, 16, 17
Q1. Convert 3/5 to percentage.
Answer: 3/5 = (3×20)/(5×20) = 60/100 = 60%
Q2. Find 20% of 250.
Answer: 20% of 250 = (20/100) × 250 = 50
Q3. Find the simple interest on ₹5000 for 2 years at 8% per annum.
Answer:
SI = (P × R × T)/100
SI = (5000 × 8 × 2)/100 = ₹800
Q1. Add: 3/7 + (-2/5)
Answer:
LCM of 7 and 5 = 35
3/7 = 15/35, -2/5 = -14/35
3/7 + (-2/5) = 15/35 + (-14/35) = 1/35
Q2. Which is greater: -3/4 or -5/6?
Answer:
-3/4 = -18/24, -5/6 = -20/24
Since -18/24 > -20/24, therefore -3/4 > -5/6
Q3. Find the reciprocal of -7/9.
Answer: Reciprocal of -7/9 is -9/7
Q1. Find the area of a parallelogram with base 12 cm and height 8 cm.
Answer: Area = base × height = 12 × 8 = 96 sq cm
Q2. Find the area of a triangle with base 10 cm and height 6 cm.
Answer: Area = (1/2) × base × height = (1/2) × 10 × 6 = 30 sq cm
Q3. Find the circumference of a circle with radius 7 cm.
Answer: Circumference = 2πr = 2 × (22/7) × 7 = 44 cm
Q1. Add: 3x + 5y and 2x - 3y
Answer: (3x + 5y) + (2x - 3y) = 5x + 2y
Q2. Subtract: 4a + 3b from 7a + 5b
Answer: (7a + 5b) - (4a + 3b) = 3a + 2b
Q3. Find the value of 2x² + 3x - 1 when x = 2.
Answer:
2x² + 3x - 1 = 2(2)² + 3(2) - 1
= 2(4) + 6 - 1 = 8 + 6 - 1 = 13
Q1. Simplify: 2³ × 2⁵
Answer: 2³ × 2⁵ = 2³⁺⁵ = 2⁸ = 256
Q2. Simplify: (3²)³
Answer: (3²)³ = 3²ˣ³ = 3⁶ = 729
Q3. Express 0.000045 in standard form.
Answer: 0.000045 = 4.5 × 10⁻⁵
Q: How many chapters are there in Class 7 Maths?
A: There are 15 chapters in NCERT Class 7 Maths covering advanced mathematical concepts.
Q: Which topics are most important in Class 7 Maths?
A: Important topics include integers, rational numbers, simple equations, algebraic expressions, geometry, and mensuration.
Q: How can I master Class 7 Maths concepts?
A: Practice regularly, understand the logic behind each step, solve different types of problems, and use visual aids for geometry topics.
