Students often review Class 7 Maths MCQ and Class 7 Maths Part 2 Chapter 6 Constructions and Tilings Class MCQ Questions Online Test with Answers for quick revisions before tests.
MCQ on Constructions and Tilings Class 7
Constructions and Tilings Class MCQ Class 7
Class 7 Constructions and Tilings Class MCQ
Multiple Choice Questions (MCQs)
Question 1.
In a tiling problem where a figure repeats 6 times around a point, what is the central angle of each unit?
(a) 45°
(b) 60°
(c) 30°
(d) 42°
Solution:
(b) 60°
Question 2.
To construct a 105° angle using a compass, which two angles must be combined or bisected?
(a) 90° and 15°
(b) 90° and 120°
(c) 60° and 45°
(d) All of these
Solution:
(d) All of these
Question 3
If the side of the square in a petal construction is 16 cm, what is the radius of the largest possible petal arc?

(a) 16 cm
(b) 12 cm
(c) 8 cm
(d) 4 cm
Solution:
(c) 8 cm
Question 4.
To divide a line segment into 16 equal parts, the total number of perpendicular bisectors that need to be drawn is
(a) 16
(b) 8
(c) 15
(d) 4
Solution:
(c) 15
Question 5.
To tile an m × n grid using 2 × 1 tiles, which of the following must be true ?
(a) m × n must be odd.
(b) m × n must be even.
(c) m must be odd.
(d) n must be odd.
Solution:
(b) m × n must be even.
Fill in the blanks:
Question 1.
When constructing a perpendicular bisector of a line segment, the distance from the intersection points of the arcs to the line segment’s ends is always ………….
Solution:
equal
Question 2.
In a tiling problem, if the total area of the region to be tiled is …………and each tile covers a 2 × 1 area, tiling is possible.
Solution:
even
Question 3.
To construct a regular hexagon inside a circle, the central angle between any two adjacent vertices should be …………degrees.
Solution:
60
Question 4.
A perpendicular bisector is the line that divides a line segment into two equal parts while forming a …………degree angle with the original line.
Solution:
90
Question 5.
A tangram has …………isosceles triangles.
Solution:
5
Match the following:

Solution:
| Column A | Column B | ||
| (a) | A mathematical puzzles made of 7 geometric pieces that can form different figures. | (iv) | Tangram |
| (b) | The instrument used to draw arcs and circles | (i) | compass |
| (c) | A triangle with all sides and angles equal | (ii) | Equilateral |
| (d) | A line that meets another line at 90° | (v) | Perpendicular |
| (e) | Covering a region using a set of shapes, without gaps or overgaps | (iii) | Tiling |
Answer the following
Question 1.
How can the tangram pieces be rearranged to form each of the following figures?

Solution:

Question 2.
Is the following region tileable with the tiles given below?

Solution:
No
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