Start learning →

Karnataka SSLC (Class 10) Real Numbers — practice questions

Explore 12 free Real Numbers questions in Karnataka SSLC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Real Numbers with Quill →

Real Numbers questions and exercises with answers

Showing questions 1–12 of 12.

The number $\sqrt{2}$ isRead the answer and worked solution →For any two positive integers, HCF × LCM equalsRead the answer and worked solution →The HCF of 12 and 18 isRead the answer and worked solution →The LCM of 12 and 18 isRead the answer and worked solution →If the HCF of two numbers is 9 and their LCM is 90, and one number is 18, the other number isRead the answer and worked solution →Using Euclid's algorithm, the HCF of 96 and 404 isRead the answer and worked solution →The prime factorisation of 140 isRead the answer and worked solution →The product of the HCF and LCM of the numbers 8 and 20 isRead the answer and worked solution →The sum of a rational number and an irrational number is alwaysRead the answer and worked solution →The decimal expansion of an irrational number isRead the answer and worked solution →The largest number that divides both 60 and 96 exactly (their HCF) isRead the answer and worked solution →Compare these factor totalsRead the answer and worked solution →

Worked practice questions

The number $\sqrt{2}$ is

  1. an irrational number
  2. a natural number
  3. a rational number
  4. an integer
Show answer and solution

Correct answer: A. an irrational number

1. A rational number can be written as p/q with integers p, q (q≠0). 2. $\sqrt{2}$ cannot be written this way; it is an **irrational number** (proved by contradiction). 3. Its decimal expansion is non-terminating and non-repeating. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch8 'Real Numbers', §8.4_

Open this question →

For any two positive integers, HCF × LCM equals

  1. the sum of the two numbers
  2. the product of the two numbers
  3. the difference of the two numbers
  4. the larger of the two numbers
Show answer and solution

Correct answer: B. the product of the two numbers

1. There is a fixed relation between HCF and LCM of two numbers. 2. **HCF × LCM = product of the two numbers.** 3. e.g. for 12 and 18: 6 × 36 = 216 = 12 × 18. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch8 'Real Numbers', §8.3_

Open this question →

The HCF of 12 and 18 is

  1. 3
  2. 2
  3. 6
  4. 9
Show answer and solution

Correct answer: C. 6

1. $12 = 2^2 \times 3$ and $18 = 2 \times 3^2$. 2. HCF = product of the lowest powers of common primes = $2^1 \times 3^1 = 6$. 3. So the HCF is 6. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch8 'Real Numbers', §8.3_

Open this question →

How to practise

  1. Choose a Real Numbers question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

Binomial TheoremGeometryProbability & StatisticsSequencesSequences and SeriesVectors & 3D GeometryCorrelation and RegressionLinear Programming