Understanding Elementary Shapes Class 6 MCQ with Answers are covered in this Article. Understanding Elementary Shapes Class 6 MCQ Test contains 35 questions. Answers to MCQs on Understanding Elementary Shapes Class 6 Maths are available at the end of the last question. These MCQ have been made for Class 6 students to help check the concept you have learnt from detailed classroom sessions and application of your knowledge.
| Board | CBSE |
| Textbook | Maths (NCERT) |
| Class | Class 6 |
| Chapter | Chapter 5 Understanding Elementary Shapes |
Understanding Elementary Shapes Class 6 MCQ with Answers
1.The measures of two angles of a triangle are 65˚ and 75˚ . Find the measure of the third angle.
(a) 40˚
(b) 57˚
(c) 48˚
(d) 33˚
Answer
Answer: (a) 40˚
Explanation: Given:
1st angle = 65˚
2nd angle = 75˚
3rd angle = ?
Let, 3rd angle = a
Then, According to angle sum property of triangle
1st angle + 2nd angle + 3rd angle = 180˚
65˚ + 75˚ + a = 180˚
140˚ + a = 180˚
a = 180˚ – 140˚
a = 40˚
Then, 3rd angle = 40˚
Hence, the measure of third angle is 40˚
2.If one of the angles of a triangle is 74 ˚ and the other two angles are equal , then find the measure of each of these equal angles?
(a) 58˚ each
(b) 53˚ each
(c) 48˚ each
(d) 63˚ each
Answer
Answer: (b) 53˚ each
Explanation: Given:
1st angle = 74˚
2nd angle = ?
3rd angle = ?
Let, 2nd angle = a
3rd angle = a
Then, According to angle sum property of the Triangle
1st angle + 2nd angle + 3rd angle = 180˚
74 + a + a = 180˚
74˚ + 2a = 180˚
2a = 180˚ – 74˚
2a = 106˚
a = 53˚
Then, 2nd angle = 53˚
3rd angle = 53˚
Hence, the measure of the each of these equal angle is 53˚
3.If one of three acute angles of a right triangle is 65˚ . Find the other acute angle.
(a) 15˚
(b) 25˚
(c) 37˚
(d) 30˚
Answer
Answer: (b) 25˚
Explanation: Given:
1st angle = 65˚
2nd angle = 90˚ (Since, One of the angle of Right triangle is 90 ˚)
3rd angle = ?
Let, 3rd angle = a
Then, According to angle sum property of triangle
1st angle + 2nd angle + 3rd angle = 180 ˚
65˚ + 90˚ + a = 180˚
155˚ + a = 180˚
a = 180˚ – 155˚
a = 25˚
Then, 3rd angle = 25˚
Hence, the measure of other acute angle is 25˚
4.Find the angles of a triangle which are in the ratio 12 : 7 : 11
(a) 67˚ , 47˚ and 66˚
(b) 47˚ , 66˚ and 67˚
(c) 71˚ , 77˚ and 32˚
(d) 72˚ , 42˚ and 66˚
Answer
Answer: (d) 72˚ , 42˚ and 66˚
Explanation: Let the measures of the given angles be:
1st angle = ( 12a )˚
2nd angle = ( 7a )˚
3rd angle = ( 11a )˚
Then, According to angle sum property of triangle
1st angle + 2nd angle + 3rd angle = 180 ˚
12a + 7a + 11a = 180
30a = 180
a = 180/30
a = 6
So, 1st angle = ( 12a )˚ = ( 12 x a )˚ = ( 12 x 6 )˚ = 72˚
2nd angle = ( 7a )˚ = ( 7 x a )˚ = ( 7 x 6 )˚ = 42˚
3rd angle = ( 11a )˚ = ( 11 x a )˚ = ( 11 x 6 )˚ = 66˚
Hence, the measures of the angles of the triangle are 72˚ , 42˚ and 66˚.
5.The three angles of quadrilateral are 60˚ , 55˚ , 85˚. The fourth angle is?
(a) 194˚
(b) 150˚
(c) 160˚
(d) 169˚
Answer
Answer: (c) 160˚
Explanation: As we know that,
The sum of all angles of a quadrilateral = 360˚
60˚ + 55˚ + 85˚ + x = 360˚
200˚ + x = 360˚
x = 360˚ – 200˚
x = 160˚
Hence, the fourth angle of the quadrilateral is 160˚.
Understanding Elementary Shapes Class 6 MCQ with Answers
6.The angles of quadrilateral are in the ratio 6 : 8 : 9 : 13 , then find the measures of each angle?
(a) 60˚ , 80˚ , 90˚ , 80˚
(b) 60˚ , 80˚ , 90˚ , 130˚
(b) 70˚ , 90˚ , 90˚ , 130˚
(d) 120˚ , 130˚ , 130˚ , 60˚
Answer
Answer: (b) 60˚ , 80˚ , 90˚ , 130˚
Explanation:
The ratio of angle of quadrilateral is = 6 : 8 : 9 : 13
Let, the measures of each angle be 6a , 8a , 9a , 13a
6a + 8a + 9a + 13a = 360 (As we know that, the sum of the angles of a quadrilateral is 360˚)
36a = 360˚
a = 360˚/36
a = 10
So, 1st angle = 6a = 6 x 10 = 60˚
2nd angle = 8a = 8 x 10 = 80˚
3rd angle = 9a = 9 x 10 = 90˚
4th angle = 13a = 13 x 10 = 130˚
Hence, angles of Quadrilateral are 60˚ , 80˚ , 90˚ and 130˚
7.The angles of quadrilateral are in the ratio 4 : 3 : 5 : 8 , then find the largest angle?
(a) 144˚
(b) 90˚
(c) 100˚
(d) 161˚
Answer
Answer: (a) 144˚
Explanation: The ratio of angle of quadrilateral is = 4 : 3 : 5 : 8
Let, the measures of each angle be 4a , 3a , 5a , 8a
4a + 3a + 5a + 8a = 360 (As we know that, the sum of the angles of a quadrilateral is 360˚)
20a = 360
a =360/20
a = 18
So, 1st angle = 4a = 4 x 18 = 72˚
2nd angle = 3a = 3 x 18 = 54˚
3rd angle = 5a = 5 x 18 = 90˚
4th angle = 8a = 8 x 18 = 144˚
The largest of these angle is 144˚
8.A cuboid has ________ faces.
(a) 8
(b) 4
(c) 5
(d) 6
Answer
Answer: (d) 6
Explanation:
Face is a flat surface that forms part of the boundary of a solid object.
A cuboid has six rectangular faces.
9.A cuboid has ________ Vertices.
(a) 4
(b) 5
(c) 6
(d) 8
Answer
Answer: (d) 8
Explanation:
A vertex is a corner
A cuboid has 8 vertices.
10.A cuboid has ________ edges.
(a) 6
(b) 7
(c) 12
(d) 8
Answer
Answer: (c) 12
Explanation:
An edge is a line segment joining two vertex.
When two adjacent sides of cuboid meet at a line segment, called an edge of the cuboid
A cuboid has 12 edges.
Understanding Elementary Shapes Class 6 MCQ with Answers
11.A cube has ________ faces.
(a) 4
(b) 5
(c) 6
(d) 8
Answer
Answer: (c) 6
Explanation:
Face is a flat surface that forms part of the boundary of a solid object.
A cube has six square faces.
12. A cube has ________ vertices.
(a) 4
(b) 5
(c) 6
(d) 8
Answer
Answer: (d) 8
Explanation:
A vertex is a corner
A cube has eight vertices.
13.A cube has ________ edges.
(a) 6
(b) 5
(c) 12
(d) 8
Answer
Answer: (c) 12
Explanation:
An edge is a line segment joining two vertex.
When two adjacent sides of cube meet at a line segment, called an edge of the cuboid
A cube has 12 edges.
14.A cylinder has ________ faces.
(a) 4
(b) 3
(c) 6
(d) 5
Answer
Answer: (b) 3
Explanation:
Face is a flat surface that forms part of the boundary of a solid object.
A cylinder has a curved lateral surface and two circular faces at its ends.
Hence, total number of faces in cylinder is 3.
15.A cylinder has ________ vertices.
(a) 0
(b) 1
(c) 3
(d) 2
Answer
Answer: (a) 0
Explanation:
A vertex is a corner
A cylinder has no corner or vertex.
Understanding Elementary Shapes Class 6 MCQ with Answers
16.A cylinder has ________ edges.
(a) 4
(b) 2
(c) 3
(d) 5
Answer
Answer: (b) 2
Explanation:
An edge is a line segment joining two vertex.
A cylinder has 2 circular edges.
17.A sphere has ________ faces.
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (a) 1
Explanation:
Face is a flat surface that forms part of the boundary of a solid object.
A sphere has a curved surface
18.A sphere has ________ vertices.
(a) 1
(b) 0
(c) 2
(d) 3
Answer
Answer: (b) 0
Explanation:
A vertex is a corner
A sphere has no vertex.
19.A sphere has ________ edges.
(a) 0
(b) 2
(c) 3
(d) 4
Answer
Answer: (a) 0
Explanation:
An edge is a line segment joining two vertex.
A sphere has no edges.
20.A cone has ________ faces.
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (b) 2
Explanation:
Face is a flat surface that forms part of the boundary of a solid object.
A cone has one plane surface (i.e., base) and one curved face
Hence, a cone has 2 faces
Understanding Elementary Shapes Class 6 MCQ with Answers
21.A cone has ________ vertices.
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (a) 1
Explanation:
A vertex is a corner
A cone has 1 vertex.
22.A cone has ________ edges.
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (a) 1
Explanation:
An edge is a line segment joining two vertex.
A cone has 1 circular edge.
23.A triangular prism has ________ rectangular lateral faces and _ triangular bases
(a) 3,4
(b) 3,2
(c) 2,3
(d) 4,3
Answer
Answer: (b) 3,2
Explanation:
Face is a flat surface that forms part of the boundary of a solid object.
A triangular prism has 3 rectangular lateral faces and 2 triangular bases.
24.A triangular prism has ________ vertices.
(a) 2
(c) 5
(c) 8
(d) 6
Answer
Answer: (d) 6
Explanation:
A vertex is a corner
A triangular prism has 6 vertices.
25.A triangular prism has ________ edges.
(a) 7
(b) 9
(c) 8
(d) 6
Answer
Answer: (b) 9
Explanation:
An edge is a line segment joining two vertex.
A triangular prism has 9 edges.
Understanding Elementary Shapes Class 6 MCQ with Answers
26.A square pyramid has ________ lateral triangular faces and ________ square base.
(a) 3,1
(b) 1,3
(c) 4,1
(d) 1,4
Answer
Answer: (c) 4,1
Explanation:
Face is a flat surface that forms part of the boundary of a solid object.
A square pyramid has 4 lateral triangular faces and 1 square base.
27.A square pyramid has ________ vertices.
(a) 4
(b) 5
(c) 3
(d) 6
Answer
Answer: (b) 5
Explanation:
A vertex is a corner
A square pyramid has 5 vertices.
28.A square pyramid has ________ edges.
(a) 7
(b) 6
(c) 8
(d) 5
Answer
Answer: (c) 8
Explanation:
An edge is a line segment joining two vertex.
A square pyramid 8 edges.
29.A triangular pyramid has ________ triangular lateral faces and ________ triangular base.
(a) 3,1
(b) 1,3
(c) 4,1
(d) 1,4
Answer
Answer: (a) 3,1
Explanation:
Face is a flat surface that forms part of the boundary of a solid object.
A triangular pyramid has 3 triangular lateral faces, 1 triangular base
30.A triangular pyramid has ________ vertices.
(a) 4
(b) 3
(c) 6
(d) 5
Answer
Answer: (a) 4
Explanation:
A vertex is a corner
A triangular pyramid has 4 vertices.
Understanding Elementary Shapes Class 6 MCQ with Answers
31.A triangular pyramid has ________ edges.
(a) 4
(b) 7
(c) 6
(d) 5
Answer
Answer: (c) 6
Explanation:
An edge is a line segment joining two vertex.
A triangular pyramid has 6 edges.
32.An Ice cream cone is an example of a ________
(a) Cube
(b) Cuboid
(c) Cylinder
(d) Cone
Answer
Answer: (d) Cone
33.Pen is an example of a ________
(a) Cube
(b) Cuboid
(c) Cylinder
(d) Cone
Answer
Answer: (c) Cylinder
34.Pencil box is an example of a ________
(a) Cube
(b) Cuboid
(c) Cylinder
(d) Cone
Answer
Answer: (b) Cuboid
35.A football is an example of a ________
(a) Cube
(b) Cuboid
(c) Sphere
(d) Cone
Answer
Answer: (c) Sphere
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Frequently Asked Questions on Understanding Elementary Shapes Class 6 MCQ with Answers
1. Are these MCQ on Understanding Elementary Shapes Class 6 are based on 2021-22 CBSE Syllabus?
Yes. There are 35 MCQ’s on this Chapter in this blog.
2. Are you giving all the chapters of Maths Class 6 MCQs with Answers which are given in CBSE syllabus for 2021-22 ?
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