Series RTEQ.P. Code 57/-3/0
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 4: Quadratic Equations
Time allowed : 40 MinutesMaximum Marks : 20
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 11 questions. All questions are compulsory.
(ii)This question paper is divided into three sections – A, B and C.
(iii)In Section A, Question numbers 1 to 5 carry 1 mark each.
(iv)In Section B, Question numbers 6 to 8 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 9 to 11 are short answer (SA) type questions carrying 03 marks each.
(vi)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(vii)Use of calculators is not allowed.
SECTION A
This section comprises 5 questions of 1 mark each.
1.1
Find the roots of x² − 9 = 0.
2.1
Find the discriminant of 2x² − 3x + 4 = 0.
3.1
Is x = −2 a root of x² + x − 2 = 0? Justify.
4.1
What is the nature of the roots of a quadratic equation whose discriminant is zero?
5.1
Write x(x + 3) = 10 in the standard form ax² + bx + c = 0 and state a, b and c.
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
The product of two consecutive positive integers is 240. Form the equation and find the integers.
7.2
Find the values of k for which 3x² + kx + 12 = 0 has equal roots.
8.2
Solve by factorisation: x² − x − 12 = 0.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
A train travels 180 km at a uniform speed. If the speed had been 15 km/h more, it would have taken 1 hour less. Find the original speed.
10.3
The length of a rectangle is 4 cm more than its breadth. Its area is 96 cm². Find its length and breadth.
11.3
Find the roots of 2x² − 5x − 1 = 0 using the quadratic formula.
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