Series RTEQ.P. Code 54/0/-1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 1: A Square and A Cube
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
What is 12²?
2.1
What is the cube of 3?
3.1
What is the square root of 81?
4.1
What is the cube root of 27?
5.1
Which digits can a perfect square NOT end with?
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
Express 49 as a sum of consecutive odd numbers starting from 1.
7.2
Is 156 a perfect square? Justify using prime factorisation.
8.2
Find the cube root of 512 using prime factorisation.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
Using the pattern of successive odd number subtraction, verify whether 90 is a perfect square. Show all steps.
10.3
Check if 3375 is a perfect cube using prime factorisation. Show all steps and find its cube root if it is.
11.3
Estimate the square root of 1936 using the interval-narrowing method. Show your reasoning at each step.
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