NIOS Class 10 Maths — Flashcards for Quick Revision

A: Step 1: Natural numbers = {1, 2, 3, ...}. From given: 15, 22. Step 2: Whole numbers = {0, 1, 2, 3, ...}. From given: 0, 15, 22. Step 3: Integers = {..., -2, -1, 0, 1, 2, ...}. From given: All numbers

A: Step 1: Find GCD of 18 and 27. Factors of 18: 1, 2, 3, 6, 9, 18. Factors of 27: 1, 3, 9, 27. GCD = 9. Step 2: Divide both numerator and denominator by GCD. 18 ÷ 9 = 2, 27 ÷ 9 = 3. Answer: 2/3. The rat

A: Step 1: Find LCM of denominators 4 and 3. LCM(4,3) = 12. Step 2: Convert to equivalent fractions. 3/4 = (3×3)/(4×3) = 9/12. 2/3 = (2×4)/(3×4) = 8/12. Step 3: Add numerators. 9/12 + 8/12 = (9+8)/12 = 1

A: Step 1: Apply exponent to numerator and denominator separately → (3³)/(4³) Step 2: Calculate 3³ = 3 × 3 × 3 = 27 Step 3: Calculate 4³ = 4 × 4 × 4 = 64 Step 4: Write final answer → 27/64 Answer: 27/64

A: Step 1: Apply Law 1 - aᵐ × aⁿ = aᵐ⁺ⁿ Step 2: Add the exponents → 5²⁺³ = 5⁵ Step 3: Calculate 5⁵ = 5 × 5 × 5 × 5 × 5 = 3125 Answer: 5⁵ = 3125 Formula Used: aᵐ × aⁿ = aᵐ⁺ⁿ

A: Step 1: Apply negative exponent rule → a⁻ⁿ = 1/aⁿ Step 2: Write as positive exponent → 1/(-2/3)² Step 3: Calculate (-2/3)² = (-2)²/(3)² = 4/9 Step 4: Take reciprocal → 1 ÷ (4/9) = 9/4 Answer: 9/4 Key

A: Step 1: Group like terms → (3x² - 2x²) + (5x + 7x) - 4 Step 2: Combine like terms → x² + 12x - 4 Answer: x² + 12x - 4 Key Strategy: Always collect like terms first - terms with same variables and sam

A: Step 1: Find degree of each term - 4x³y²: degree = 3 + 2 = 5 - 2x²y⁴: degree = 2 + 4 = 6 - 7xy: degree = 1 + 1 = 2 - 3: degree = 0 Step 2: Highest degree = 6 Answer: Degree is 6 Remember: Degree of

A: Step 1: Substitute x = 2 2(2)³ - 5(2)² + 3(2) - 1 Step 2: Calculate powers 2(8) - 5(4) + 3(2) - 1 Step 3: Multiply 16 - 20 + 6 - 1 Step 4: Add/subtract from left to right 16 - 20 + 6 - 1 = 1 Answe