Bloom Public School Class X Maths Mid Term Sample Questions
Section A: Q1. Assertion : The HCF of two numbers is 5 and their product is 150, then their LCM is 30 Reason : For any two positive integers a and b, HCF (a, b) + LCM (a, b) = a b
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true.
Q2. What is the value of k such that the following pair of equations have infinitely many solutions? x-2y=3 and -3x+ky=-9 a) 6 b) 3 c)-3 d) -6
Q3. For what value of p does the pair of linear equations given below has unique solution? 4x+py+8 =0 2x +2y+2 =0
(a) p = 1 (b) p = 2 (c) p ≠ 4 (d) p ≠ 2
Q4. The roots of the equation x2 + 7x +10 =0 are a) -5,-2 b) 5,2 c) 5,-2 d) -5,2
Q5. Values of k for which the quadratic equation 2×2– kx +k =0 has equal roots is a) 0 b) 4,0 c) 8 d) 0,8
Q6. The nth term of an AP a,3a,5a,…… is a) na b) (2n-1)a c) (2n+1)a d)2na
Q7. For what value of k will k+9, 2k-1, and 2k+7 are the consecutive terms of an AP? a) 16 b) 2 c) 18 d) 4
Q8. Which of the following statement(s) is/ are false? (i) All isosceles triangles are similar. (ii) All quadrilaterals are similar. (iii) All circles are similar. (iv) All squares are similar
a) i) and iii) b) i) and ii) c) iii) and iv) d) ii) and iv)
Q9. Assertion : The value of sin A = is not possible. Reason: Hypotenuse is the largest side in any right angled triangle. (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true.
Q10. The line represented by 4x- 3y = 9 intersects the y axis at i) (0,-3) ii) (94,0) iii) ( -3,0) iv) (0, 94)
Q11. Find the sum of the exponents of the prime factors in the prime factorisation of 196. Q12. The LCM of two numbers is 182 and their HCF is 13. If one of the numbers is 26, find the other. Q13. Write the discriminant of the quadratic equation (x+5)2= 2(5×3). Q14. The pair of equations y = 0 and y =- 7 has _______ solution(s). 1 Q15. Which term of the following AP 27,24,21….. is 0. 1 Q16. How many two digit numbers are divisible by 3? 1 Q17. Write the coordinates of the centre of the circle whose end points of a diameter are (-6,3) and (6,4).
General Instructions: ** All questions are compulsory. ** This question paper consists of 38 questions divided into 5 sections A, B, C, D and E. ** Section A comprises of 20 questions of one mark each (from Q1 -20). ** Section B comprises of 5 questions of two marks each (from Q21 -25). ** Section C comprises of 6 questions of three marks each (from Q26 -31). ** Section D comprises of 4 questions of five marks each (from Q32 -35). ** Section E comprises of 03 case study questions of 4 marks each (from Q36-38). ** There is no overall choice. However, internal choice has been provided in 02 questions of section B, 02 questions of section C, 02 questions of section D You have to attempt only one of the alternatives in such questions.
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