Series RTEQ.P. Code 89/-1/0
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 6: Number Play
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 a palindrome number? Give an example.
2.1
What is the sum of two odd numbers always?
3.1
What is Kaprekar's constant for 4-digit numbers?
4.1
In the Collatz sequence, what do we do if the number is even?
5.1
What is the magic sum of a 3x3 magic square using numbers 1-9?
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
Apply one step of Kaprekar's routine to the number 4321.
7.2
Find the Collatz sequence starting from 6 until it reaches 1.
8.2
Prove that the sum of an odd and even number is always odd, using algebra.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
Apply Kaprekar's routine fully to 3524 until it reaches 6174 or a repeating cycle. Show all steps.
10.3
The Virahanka-Fibonacci sequence is 1,1,2,3,5,8,13... (a) Find the next 3 terms. (b) State the rule used.
11.3
In a cryptarithm, ON+ON=GO where O=1 and N=8. (a) Find the value of ON. (b) Find GO. (c) Find G.
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