Number Systems
20 solved questions from Class 9 Mathematics, each with the full working. Tap any question to see the step-by-step solution.
- 1 Express 0.6 in the form p/q, where p and q are integers and q ≠ 0. easy MCQ 1 mark Expressing non-terminating recurring decimals as rational numbers
- 2 Simplify the expression by rationalising the denominator: 5/(√7 - √2). medium 3 marks Rationalising the denominator using identities
- 3 If x = 3 + 2√2, find the value of x^2 + 1/x^2. hard 5 marks Operations on real numbers and algebraic identities
- 4 Find the HCF of 24 and 36 using prime factorisation. medium MCQ Prime Factorisation and HCF
- 5 Express 140 as a product of its prime factors. medium MCQ Prime Factorisation
- 6 Is √2 a rational or irrational number? medium MCQ Irrational Numbers
- 7 What is the LCM of 12 and 15? medium MCQ LCM Calculation
- 8 Find the value of 5³ × 5² using exponent laws. medium MCQ Exponents and Powers
- 9 What is the multiplicative inverse of -4/5? medium MCQ Rational Numbers
- 10 Evaluate (-1)^100. medium MCQ Exponents
- 11 Is zero (0) a positive or negative integer? medium MCQ Integers
- 12 Simplify: 3/4 + 5/6. medium MCQ Fractions Addition
- 13 What is the predecessor of 10,000? medium MCQ Predecessor and Successor
- 14 What is the domain, range, or fundamental theorem introduced in 'Number Systems' (Class 9 Mathematics)? medium MCQ Functions & Theorems
- 15 What is the derivative or integral formula associated with 'Number Systems'? medium MCQ Calculus & Formulae
- 16 How do you find the solution set or optimum value in 'Number Systems'? medium MCQ Problem Solving & Optimization
- 17 The multiplicative inverse of the fraction 3/8 is? easy MCQ 1 mark Reciprocal of a fraction
- 18 Using prime factorisation, find the HCF and LCM of 48 and 180. medium 2 marks HCF and LCM by prime factorisation
- 19 Simplify 7/(√14-√7) by rationalising the denominator. hard 2 marks Rationalising denominators
- 20 Let a=4+√15. Find the value of a^3-1/a^3. hard 3 marks Algebraic manipulation with conjugates