Series RTEQ.P. Code 48/-3/0
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 14: Constructions and Tilings
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 does bisect mean?
2.1
What angle does a perpendicular bisector make with the segment?
3.1
How many pieces does a standard tangram have?
4.1
Which regular polygons can tile a plane alone?
5.1
What shape do bee hives use for their cells?
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
Describe the steps to construct the perpendicular bisector of segment XY using compass and ruler.
7.2
Can a 4×6 grid be tiled with 2×1 tiles? Explain using square count.
8.2
Explain why a regular hexagon can tile the plane.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
Describe how to construct a 60-degree angle using compass and ruler, and explain why it works.
10.3
Explain why a 5×7 grid cannot be tiled with 2×1 tiles, and describe the black-and-white colouring method to verify this.
11.3
Six equilateral triangles are arranged around a point to form a regular hexagon. (a) Find the angle of each triangle at the centre. (b) Verify the angles sum to 360°. (c) Explain why this forms a hexagon and not another shape.
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