**Extra Questions for class 10 maths :** In this post, we are going to tell you about extra questions for class 10 maths, all important questions of class 10, you can get similar questions for class 10 exam, all questions are explained in a very easy way, if If you want to revise these questions, then you can also download the PDF of all the questions for revision, you can download the PDF of all the questions by visiting the link below.

## Extra questions for class 10 maths in English

**Q1. full form of the HCF are –**

(A) Highest Common Function

(B) Highest Common Factor

(C) High Common Factor

(D) High Compact Factor

**Ans**:- (B) Highest Common Factor

**Q2. √2 is the –**

(A) Rational number

(B) Irrational number

(C) Real number

(D) None of these

**Ans**:- (B) Irrational number

**Q3. p/q is the form of –**

(A) Rational number

(B) Irrational number

(C) Real number

(D) None of these

**Ans**:- (A) Rational number

**Q4. 6/15 will have**

(A) Terminating

(B) Non Terminating

(C) Non Terminating and repeating

(D) Terminating and non repeating

**Ans**:- (A) Terminating

**Q5. The decimal expansion of 22/7 is**

(A) Terminating

(B) Non Terminating and Non repeating

(C) Non Terminating and repeating

(D) Terminating and non repeating

**Ans**:- (C) Non Terminating and repeating

**Q6. Which of the following is not irrational?**

(A) (5+ √3)

(B) (5-√3)

(C) (5+ √3) (5-√3)

(D) 5√3

**Ans**:- (C) (5 + √3) (5 − √3)

**Q7. For the given real numbers, decide they are rational numbers or not 92.212121**

(A) Rational number

(B) Irrational number

(C) Natural number

(D) Whole number

**Ans**:- (A) Rational number

**Q8.The addition of a rational and irrational number is equal to –**

(A) Rational number

(B) Real number

(C) Irrational number

(D) None of the above

**Ans**:- (C) Irrational number

**Q9. The product of a rational and irrational number are**

(A) Irrational number

(B) rational number

(C) none of above

(D) both of above

**Ans**:- (A) Irrational number

**Q10. The sum of a rational and irrational number are**

(A) rational number

(B) Irrational number

(C) both of above

(D) none of above

**Ans**:- (B) irrational number

**Q11. Irrational numbers is different whose products of two are always**

(A) rational

(B) irrational

(C) both of above

(D) none of above

**Ans**:- (B) irrational

**Q12. Irrational numbers are the sum of two is always**

(A) irrational

(B) rational

(C) rational or irrational

(D) none of these

**Ans**:- (A) irrational

**Q13. The multiplication of two irrational numbers is:**

(A) Rational number

(B) Irrational number

(C) None of these

(D) Maybe rational or irrational

**Ans**: (D) Maybe rational or irrational

**Q14. If the number are ( 1 ,2 ,3 ,4 ) then it represents**

(A) Natural number

(B) Real number

(C) Complex number

(D) whole number

**Ans**:- (A) Natural number

**Q15. If the number are ( 0, 1 ,2 ,3 ,4 ) then it represents**

(A) Natural number

(B) Rational number

(C) Complex number

(D) whole number

**Ans**:- (D) whole number

## Extra questions for class 10 maths

**Q16. For some integer n, the odd integer is represented in –**

(A) n

(B) n + 1

(C) 2n

(D) 2n +1

**Ans**:- (D) 2n + 1

**Q17. For some integer p, every odd integer is the form**

(A) 2p

(B) 2p + 1

(C) p

(D) p + 1

**Ans**:- (B) 2p + 1

**Q18. m² 1 is divisible by 8, if m is (A) even integer**

(B) odd integer

(C) natural number

(D) whole number

**Ans**:- (B) odd integer

**Q19. The decimal expansion of the rational number 97/2× 54 will**

(A) 1 decimal place

(B) 2 decimal places

(C) 3 decimal places

(D) 4 decimal places

**Ans**:- (D) 4 decimal places

**Q20. Consecutive natural numbers are the product of two is always:**

(A) prime number

(B) even or prime

(C) odd number

(D) even number

**Ans**:- (D) even number

**Q21. The number in the form of 5p + 7, where p is a whole number, will always be**

(A) odd number

(B) even number

(C) even or odd

(D) multiple of 7

**Ans**:- (A) odd number

**Q22. When a number is divided by 7, its remainder are**

(A) greater than 7

(B) at least 7

(C) at most 7

(D) less than 7

**Ans**:- (D) less than 7

**Q23. For the given real numbers, decide they are rational numbers or not 92.254832192**

(A) Rational number

(B) Irrational number

(C) Natural number

(D) Whole number

**Ans**:- (B) Irrational number

**Q24. (6 +5 √3)-(4-3√3) is**

(A) Irrational number

(B) Rational number

(C) complex number

(D) natural number

**Ans**:- (A) Irrational number

**Q25. Let p be a prime number and a be any positive integer. Then a² are divides of p , then p divides**

(A) a²

(B) a

(C) a³

(D) All of the above

**Ans**:- (B) a

**Q26. Assertion (A): 6/15 has a non-terminating decimal expansion.Reason (R): Prime factorisation of 15 is not of the form 2m5n**

(A) Both (A) and (R) are right and (R) is the correct .

(B) Both (A) and (R) are right, but (R) is not the correct .

(C) (A) is truely, but (R) is wrongly .

(D)(A) is wrong, but (R) is right.

**Ans**:- (D) (A) is wrong, but (R) is right.

**Q27. After how many decimal places will the decimal expansion 28 / 2^4 × 5^3 of terminate?**

(A) 4

(B) 5

(C) 7

(D) 3

**Ans**:- (D) 3

**Q28. Write the number of zeros in the end of a number whose prime factorization is 2^2 X 5^3 X 3^2 X 17^1**

(A) 4

(B) 2

(C) 5

(D) 1

**Ans**:- (B) 2

**Q29. HCF and LCM of a and b are 19 and 152 respectively. Then a = 38, if b is equal to:**

(A) 15

(B) 76

(C) 38

(D) 18

**Ans**:- (B) 76

**Q30. Euclid’s division algorithm can be applied to:**

(A) Only negative integers

(B) Only positive integers

(C) All integers

(D) All integers except 0

**Ans**:- (B) Only positive integers

## Extra questions for class 10 maths pdf

**Q31. LCM of 2^3 × 3^2 and 2^2× 3^3 are**

(A) 2^2

(B) 3^3

(C) 2^3 × 3^3

(D) 2^2 × 3^3

**Ans**:- (C) 2^3 × 3^3

**Q32. Are the smallest prime and the smallest composite numbers coprime?**

(A) Yes

(B) No

(C) May be yes or no

(D) None of the above

**Ans**:- (B) No

**Q33. Check whether 6n can end with the digit 0 for any natural number n.**

(A) No

(B) Yes

(C) Yes if n is odd natural number

(D) Yes if n is even natural number

**Ans**:- (A) No

**Q34. For the given real numbers, decide they are rational numbers or not 9/21**

(A) Rational number

(B) Irrational number

(C) Natural number

(D) Whole number

**Ans**:- (A) Rational number

**Q35. full form of the LCM are –**

(A) Least Common Multiple

(B) Local Common Factor

(C) Limited Complex Factor

(D) Least Compact Factor

**Ans**:- (A) Least Common Multiple

**Q36. Prime number will be the total number of factors are**

(A) 5

(B) 1

(C) 2

(D) 3

**Ans**:- (C) 2

**Q37. The HCF and the LCM of 12, 21 and 15 respectively are:**

(A) 3, 420

(B) 12, 420

(C) 3, 140

(D) 420, 3

**Ans**:- (A) 3, 420

**Q38. The sum of exponents of prime factors in the prime- factorization of 196 is**

(A) 3

(B) 2

(C) 5

(D) 4

**Ans**:- (D) 4

**Q39. 7x11x13x15+15 is a**

(A) Prime number

(B) Composite number

(C) Neither prime nor composite

(D) None of the above

**Ans**:- (B) Composite number

**Q40. If p and q are positive integers such that p = ab^2 and q=a^2b, where a, b are prime numbers, then the HCF (p, q) is**

(A) a^3b^3

(B) a^2b^2

(C) a^3b^2

(D) ab

**Ans**:- (D) ab

**Q41. All the numbers from 1 to 10 (both inclusive) to the least number that is divisible are :**

(A) 10

(B)100

(C)504

(D)2502

**Ans**:- (D) 2502

**Q42. Euclid’s division lemma states that if a and b are any two + ve integers, then there exist unique integers q and r such that:**

(A) a = bq + r , 0 < r < b

(B) a = bq + r , 0 ≤ r ≤ b

(C) a = bq + r , 0 << r

(D) a = bq + r , 0 ≤ r <b

**Ans**:- (D) a = bq + r , 0 ≤ r <b

**Q43. If p, q are two prime numbers, then LCM(p,q)**

(A) 1

(B) pq

(C) a

(D) p

**Ans**:- (B) pq

**Q44. If p, q are two consecutive natural numbers, then HCF (p,q) is:**

(A) q

(B) p

(C) pq

(D) 1

**Ans**:- (D) 1

**Q45. (√2-√3)(√3+ √2) is:**

(A) Rational number

(B) A whole number.

(C) An irrational number

(D) A natural number

**Ans**:- (A) Rational number

**Q46. If x 2^3 x 3 x 5^2, y = 2^2 x 3^3, then HCF (x, y) is:**

(A) 6

(B) 108

(C) 12

(D) 36

**Ans**:- (C) 12

**Q47. If least prime factor of a is 3 and least prime factor of b is 7, the least prime factor of (a + b) is:**

(A) 11

(B) 3

(C) 5

(D) 2

**Ans**:- (D) 2

**Q48. If a, b are coprime, then a^2, b^2 are:**

(A) Even number

(B) Not coprime

(C) Odd numbers

(D) Coprime

**Ans**:- (D) Coprime

**Q49. 119^2 – 111^2 is**

(A) prime number

(B) odd composite number

(C) odd prime number

(D) composite number

**Ans**:- (D) composite number

**Q50. The decimal expansion of 64/455 is**

(A) Terminating

(B) Non Terminating and Non repeating

(C) Terminating and repeating

(D) Non Terminating and repeating

**Ans**:- (D) Non Terminating and repeating

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