Series RTEQ.P. Code 57/-3/0
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 4: Exploring Algebraic Identities
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
Expand (x + 5)².
2.1
Using an identity, find 29².
3.1
Factor x² − 9.
4.1
Write the expansion of (a − b)³.
5.1
Using an identity, find 102 × 98.
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
Factor x² + 9x + 20.
7.2
Using an identity, find 101³.
8.2
Simplify (x² − 4)/(x² + 5x + 6), assuming the denominator is not zero.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
Factor 8a³ + 27b³ completely.
10.3
A rectangle has area x² + 2x − 48. (a) Factor this to find its sides. (b) Find the actual sides when x = 10.
11.3
If x + y + z = 6, xy + yz + zx = 11 and xyz = 6, find (a) x² + y² + z² and (b) x³ + y³ + z³.
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