CBSE GRADE-10 - MATHS WORK SHEETS CHAPTERWISE

 GRADE -10- MATHEMATICS - PREVIOUS YEAR QUESTIONS CHAPTERWISE 

Chapter 1 - Real numbers  

Grade: X -Mathematics

Previous year Questions

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Topic : Real numbers

1) HCF and LCM of two numbers is 9 and 459 respectively. If one of the

     numbers is 27, find the other number.( 2012 )

2) Find HCF and LCM of 13 and 17 by prime factorisation method. (2013)

3) Find the LCM of 96 and 360 by using fundamental theorem of arithmetic.

       (2012)

4) Find the largest number which divides 70 and 125 leaving remainder 5 and 8

       respectively. (2015)

5) Prove that 2 + 3√5 is an irrational number. (2014)

6) Show that 3√7 is an irrational number. (2016)

7) Explain why (17 × 5 × 11 × 3 × 2 + 2 × 11) is a composite number? (2015)

8) Check whether 4ⁿ can end with the digit 0 for any natural number n. (2015)

9) Prove that √5 is irrational and hence show that 3 + √5 is also irrational. (2012)

10) Prove that 3 + 2√3 is an irrational number. (2014)

11) Three bells toll at intervals of 9, 12, 15 minutes respectively. If they start

      tolling together, after what time will they next toll together? (2013)

12) Two tankers contain 850 liters and 680 liters of petrol. Find the maximum

       capacity of a container which can measure the petrol of each tanker in the

       exact number of times. (2012)

13) If two positive integers x and y are expressible in terms of primes as 

       x = p²q³ and y = p³q, what can you say about their LCM and HCF. Is LCM  a

      multiple of HCF? Explain. (2014)

14) Find the HCF and LCM of 306 and 657 and verify that LCM × HCF =

      Product of the two numbers. (2016 D)

15) Find the [𝐻𝐶𝐹×𝐿𝐶𝑀] for the numbers 100 and 190.

Work sheet-1 

Chapter 2 - Polynomials 

Work sheets- 2 

Chapter 3 - Pair of linear Equations

Work sheet-3

Chapter-4 - Quadratic Equations

Work sheet-5

Chapter-5- Arithmetic Progression

Work sheet-6