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Class 10 Math Chapter 2 Test 1 – Quadratic Equations and Inequalities | Unit Wise Class Test

Class 10 Math Test Series 2027

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Class 10 Mathematics Chapter 2 Test 1 is based on Quadratic Equations and Inequalities Exercise No. 2.5 and Review Exercise and provides useful practice for students preparing for their Mathematics examination. This Class 10 Math Chapter 2 Test covers important topics including quadratic equations, quadratic inequalities, roots of quadratic equations, discriminant, factorization, completing square method, quadratic formula, equal roots, quadratic functions and related mathematical problems. Students can use this Class 10 Mathematics Chapter 2 Test 1 for chapter-wise practice, revision, self-assessment and Class 10 board exam preparation. The test includes both objective MCQs and subjective questions from the chapter Quadratic Equations and Inequalities.

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Exercise 2.5 and Review Exercise
T-1
Unit 2: Quadratic Equations and Inequality
Time: 5 minutes
(Objective Type)
Total Marks: 5
1. Tick the correct answer. (1 × 5 = 5)
(i) If S is selling price and C is cost then profit is given by P = S − C. Making S as subject, we can write:
(a) S = P − C
(b) S = P + C
(c) C = S − P
(d) C = P − S
(ii) Discriminant of the equation x2 − 1 = 0 is:
(a) −1
(b) 1
(c) −4
(d) 4
(iii) Critical points in the solution of inequality x2 + x − 6 < 0 are:
(a) { (−3, 0), (2, 0) }
(b) { (−3, 0), (3, 0) }
(c) { (−2, 0), (2, 0) }
(d) { (−3, 2), (3, −2) }
(iv) If Vf = 0, Vi = 20, g = −10, then solving Vf2 = Vi2 + 2gS for S, we get S =
(a) −20
(b) −10
(c) 10
(d) 20
(v) If distance travelled by a toy car is given by d = t2 − 0.5t, then distance travelled when t = 1 is d =
(a) 0
(b) 0.5
(c) 1
(d) 1.5
Unit Wise Class Test
T-1
Unit 2: Quadratic Equations and Inequality
Time: 35 minutes
(Subjective Type)
Total Marks: 20
2. Write short answers to the following questions: (6 × 2 = 12)
(i) Solve the following inequalities: 2x2 − 8x + 6 > 0
(ii) The area of a circle is A = πr2. Make r the subject of the formula.
(iii) If P = S − C, where S is selling price and C is cost price. Make S as subject of the equation.
(iv) A toy car rolls down an incline and covers a distance given by the equation d = t2 − 0.5t metres, where t is the time in seconds. Find the time when the car has travelled a distance 12.5 metres.
(v) A freelancer’s earnings follow the model

E(h) = −2h2 + 40h , where E is earning in rupees and h is hours worked per week. What is the maximum number of hours he should work to maximize earnings?
(vi) Form a quadratic equation whose roots are: 6 1 , 3 2
i.e. roots are 6 and 3/2.
Note: Answer the following Questions. (4 + 4 = 8)
3. If the equation x2 + 2(1 + k)x + k2 = 0 has equal roots, then find the value of k.
4. Solve the following quadratic equations by completing square method and by quadratic formula:

8x2 = x + 7

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