Series RTEQ.P. Code 54/0/-1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 1: Real Numbers
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
Can the number 15ⁿ end with the digit 0 for any natural number n? Give a reason.
2.1
State whether 3√7 is rational or irrational.
3.1
The HCF of two numbers is 9 and their LCM is 360. If one number is 72, find the other number.
4.1
Find the HCF of 25 and 36.
5.1
Write the prime factorisation of 360.
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
Find the LCM of 6, 72 and 120 by the prime factorisation method.
7.2
Show that 13 × 17 × 19 + 19 is a composite number.
8.2
Find the HCF and LCM of 120 and 54 using prime factorisation.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
Find the largest number that divides 245 and 1029 leaving remainder 5 in each case.
10.3
Prove that 4 + 3√2 is irrational. (You may use that √2 is irrational.)
11.3
Prove that √7 is irrational.
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