Series RTEQ.P. Code 92/0/1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 9: Symmetry
Time allowed : 40 MinutesMaximum Marks : 20
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 10 questions. All questions are compulsory.
(ii)This question paper is divided into four sections – A, B, C and D.
(iii)In Section A, Question numbers 1 to 5 carry 1 mark each.
(iv)In Section B, Question numbers 6 to 7 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 8 to 9 are short answer (SA) type questions carrying 03 marks each.
(vi)In Section D, Question number 10 are long answer (LA) type questions carrying 05 marks each.
(vii)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(viii)Use of calculators is not allowed.
SECTION A
This section comprises 5 questions of 1 mark each.
1.1
What is a line of symmetry?
2.1
How many lines of symmetry does a square have?
3.1
Does a scalene triangle have any line of symmetry?
4.1
What is rotational symmetry?
5.1
What is the order of rotational symmetry of an equilateral triangle?
SECTION B
This section comprises 2 very short answer (VSA) type questions of 2 marks each.
6.2
What is the difference between line symmetry and rotational symmetry? Give one example of each.
7.2
Write all the capital letters of the English alphabet that have both line symmetry and rotational symmetry.
SECTION C
This section comprises 2 short answer (SA) type questions of 3 marks each.
8.3
A regular pentagon has 5 lines of symmetry and rotational symmetry of order 5. (a) What angle of rotation brings it back to its original position each time? (b) Draw a regular pentagon and mark all its lines of symmetry. (c) Compare its symmetry with a regular hexagon.
9.3
Look at the following figures and for each state: (i) number of lines of symmetry (ii) order of rotational symmetry — Circle, Square, Rectangle, Equilateral Triangle.
SECTION D
This section comprises 1 long answer (LA) type questions of 5 marks each.
10.5
Aryan is designing a rangoli pattern for Diwali. He wants it to have 8 lines of symmetry and rotational symmetry of order 8. (a) What basic shape could be the basis of his design? (b) What angle of rotation gives rotational symmetry? (c) He starts with a circle of radius 10 cm. He marks 8 equally spaced points on it. What angle is between consecutive points? (d) He draws lines connecting opposite points. How many such lines are there? (e) What is the total number of regions created inside the circle?
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