Understanding Elementary Shapes Test

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Understanding Elementary Shapes Test - 7

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Question 1
1 / -0

How many degrees does the second hand of a clock turns in 10 seconds?

A
1°

B
60°

C
6°

D
360°

Solution

In a minute, second hand covers 360°.
or 60 sec = 360°
1 sec = 6°
So, 10 sec = 60°
Question 2
1 / -0

How many faces, edges and vertices are there in a pentagonal prism?

A
7, 15 and 10

B
6, 15 and 10

C
7, 12 and 8

D
7, 15 and 8

Solution

In geometry, the pentagonal prism is a prism with a pentagonal base. It is a type of heptahedron with 7 faces, 15 edges and 10 vertices.
Question 3
1 / -0

Which of the following statements is incorrect?

A. Every square is a rhombus but every rhombus is not a square.
B. Square is the special type of rectangle.
C. A parallelogram can have more than two acute angles.
D. All of these

A
A

B
B

C
C

D
D

Solution

A parallelogram can have only two acute angles.
So, option C is a correct option to be chosen because all other options are mathematically correct.
Question 4
1 / -0

A triangular pyramid has ________ base, ____ edges and ___ vertices.

A
triangular, 4 and 6

B
square, 4 and 6

C
square, 6 and 4

D
triangular, 6 and 4

Solution

In geometry, a tetrahedron, also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges and four vertex corners.
Question 5
1 / -0

How many straight angles the minute hand will pass through when moving from 3 o'clock to 4 o'clock?

A
0

B
2

C
1

D
3

Solution

Minute hand will make straight angle only once while passing from 3 o'clock to 4 o'clock.
Question 6
1 / -0

Amya took turns of the 4 straight angles. How many degrees has Amya turned?

A
360°

B
720°

C
180°

D
90°

Solution

There are 180° in 1 straight angle.

Therefore, 4 straight angels means, 4 x 180 = 720°
Question 7
1 / -0

AB is parallel to CD is symbolically written as _____.

A
AB || CD

B
AB ∟ CD

C
AB ⊥CD

D
AB = CD

Solution

AB is parallel to CD is symbolically written as AB || CD.
Question 8
1 / -0

A _______ has finite amount of length.

A
line

B
ray

C
line Segment

D
None of the above

Solution

A line segment is the part of the line, so it has finite length.
Question 9
1 / -0

Which of the following statements is correct?

A. A quadrilateral can not have 3 obtuse angles.
B. A quadrilateral can be drawn with 5 edges.
C. Sum of all angles of a quadrilateral remains constant.
D. A quadrilateral can have at most 3 diagonal lines.

A
D

B
B

C
A

D
C

Solution

Statement C is correct. Sum of the angles of a quadrilateral is always 360^o.
Question 10
1 / -0

Which category will you put the following triangle in?

A
Equilateral triangle

B
Scalene triangle

C
Isosceles triangle

D
None of the above

Solution

The triangle has 2 equal sides and 2 equal angles. So, according to triangles properties this triangle is isosceles triangle.
Question 11
1 / -0

Which of the following does NOT have both pair of sides parallel?

A
Rhombus

B
Rectangle

C
Trapezium

D
None of these

Solution

Trapezium has only one pair of sides parallel.
Question 12
1 / -0

A rectangular prism has ____ faces.

A
6

B
7

C
8

D
9

Solution

A rectangular prism is a cuboid and has 6 faces.
Question 13
1 / -0

Which 3-D figure has 6 faces, 6 vertices and 10 edges?

A
Hexagonal pyramid

B
Pentagonal prism

C
Pentagonal pyramid

D
Hexagonal prism

Solution

It has 6 faces, 6 vertices and 10 edges.
Question 14
1 / -0

Which of the following quadrilaterals has one pair of parallel sides and one pair of non-parallel sides?

A
Square

B
Rectangle

C
Rhombus

D
Trapezium

Solution

Trapezium has one pair of parallel sides and one pair of non-parallel sides.
Question 15
1 / -0

A rectangle is a special type of parallelogram whose angles are _______.

A
acute

B
obtuse

C
right

D
straight

Solution

A rectangle is a special type of parallelogram with all angles equal to 90 degrees or right angles.
Question 16
1 / -0

If a bicycle wheel makes three turns, then what is the number of 60 degree angles through which it turns?

A
19

B
18

C
17

D
16

Solution

1 turn = 360^o
Or, 6 angles of 60^oeach.

So, 3 turns = 3 x 6 = 18 angles of 60^o
Question 17
1 / -0

A quadrilateral shaped clock has all sides equal to 12 cm. What is the perimeter of that clock?

A
35 cm

B
48 cm

C
50 cm

D
112 cm

Solution

Since all the sides of the shape are equal, perimeter = 4L = 4 x 12 = 48 cm
Question 18
1 / -0

Which of the following is the net for triangular prism?

A

B

C

D

Solution

This is the correct net of triangular prism.
Question 19
1 / -0

Select the correct match.

A
All sides and angles equal - Trapezium

B
All sides equal - Parallelogram

C
Diagonals perpendicular to each other - Rhombus

D
Diagonals bisect each other - Isosceles Trapezoid

Solution

Diagonals of a rhombus are perpendicular to each other.
Question 20
1 / -0

What shapes make the faces of a cylinder?

A
Square and rectangle

B
Rectangle and circle

C
Rectangle and triangle

D
None of these

Solution

The faces of a cylinder consist of 2 circles and 1 rectangle.
Question 21
1 / -0

Number of straight angles a minute hand makes when hour hand moves from:

(a) 2 to 6
(b) 3 to 5

A
(a) 6, (b) 2

B
(a) 4, (b) 2

C
(a) 2, (b) 5

D
(a) 8, (b) 4

Solution

A minute hand makes 1 straight angle in 1 hour. So, from 2 to 6, there are total 4 hours.
So, total number of straight angles = 4
Similarly, from 3 to 5, there are 2 hours. So, there are total 2 straight angles.
Question 22
1 / -0

In an isosceles triangle PQR, if an altitude is drawn from apex point to base at point S, then the two triangles formed are

A
equilateral triangles

B
congruent triangles

C
isosceles triangles

D
isosceles right-angled triangles

Solution

The altitude of an isosceles triangle from apex to base divides the triangle into two congruent right triangles. In the above figure, note that the angles PSQ and PSR are congruent as PS is an altitude, so both those angles would be right angles. PS is a side that is common to both the triangles PSQ and PSR. Since triangle PQR is an isosceles triangle, PQ is congruent to PR. Thus, by the RHS Right Hypotenuse Side rule, the triangles PQS and PRS are congruent.

Question 23

1 / -0

Study the given figure and match the following.

Column (I)	Column (II)
A. ∠AOE	1. Right angle
B. ∠AOC	2. Obtuse angle
C. ∠BOE	3. Acute angle
D. ∠AOB	4. Obtuse angle

A - 1, B - 4, C - 3, D - 2

A - 2, B - 1, C - 3, D - 4

A - 2, B - 1, C - 4, D - 3

A - 1, B - 3, C - 4, D - 2

Solution

∠AOE - Obtuse angle
∠AOC - Right angle
∠BOE - Obtuse angle
∠AOB - Acute angle

Question 24
1 / -0

By what number, the edges of a triangular pyramid are less than or more than a square pyramid?

A
3 more

B
3 less

C
2 more

D
2 less

Solution

Number of edges in triangular pyramid = 6
Number of edges in square prism = 8

So, there are 2 edges less in a triangular pyramid than in a square pyramid.
Question 25
1 / -0

Sudhir is facing South. What direction will he face if he makes:

(a) 1revolution anticlockwise
(b) revolution clockwise

A
(a) North, (b) West

B
(a) East, (b) West

C
(a) West, (b) North

D
(a) East, (b) North

Solution

After 1 revolution anticlockwise, Sudhir will face East. After revolution clockwise, Sudhir will face North.

Question 26

1 / -0

State T for true and F for false.

(a) There are 6 sides in a hexagon.
(b) A rectangle has all the 4 sides equal.
(c) Diagonals of a rhombus are equal.
(d) of a revolution is a right angle.

	(a)	(b)	(c)	(d)
A	F	F	T	T
B	F	T	F	T
C	T	T	T	F
D	T	F	F	T

A

B

C

D

Solution

There are 6 sides in a hexagon.

A rectangle has a pair of opposites sides equal.

Diagonal of a rhombus are not necessarily equal.

of a revolution is a right angle. Because total of a revolution is 360^o.

Question 27
1 / -0

Select the incorrect match.

- Triangular pyramid - A

- Square pyramid - B

- Pentagonal prism - C

- Frustum of cone - D

A
A

B
D

C
C

D
B

Solution

- Frustum of a cone

Question 28

1 / -0

Which of the following figures satisfies the given conditions?

A	B
Faces - 0	Faces - 2
Edges - 0	Edges - 0
Vertices - 0	Vertices - 0

A - Hexagonal prism, B - Cylinder

A - Cylinder, B - Cone

A - Sphere, B - Cylinder

A - Cube, B - Pentagonal prism

Solution

Sphere has 0 faces, 0 vertices and 0 edges.
Cylinder has 2 faces, 0 vertices and 0 edges.

Question 29
1 / -0

Fill in the blanks.

(i) All angles of a square are ____P_____ angles.
(ii) In a rhombus, all diagonals ___Q___ each other.
(iii) In a quadrilateral, all angles add up to ___R___.
(iv) In a trapezium ___S___ pair of sides are parallel to each other.

A

(i) (ii) (iii) (iv)

right bisect 180° one

B

(i) (ii) (iii) (iv)

right bisect 360° three

C

(i) (ii) (iii) (iv)

right bisect 360° one

D

(i) (ii) (iii) (iv)

right bisect 360° two

Solution

In a square each angle is a right angle.
In a rhombus, the diagonals bisect each other.
In a quadrilateral, all angles add up to 360°.
In a trapezium, only one pair of sides are parallel.
Question 30
1 / -0

Which of the following statements is correct?

A. Acute angle is greater than right angle.
B. Measure of a reflex angle is smaller than measure of straight line.
C. Obtuse angle is greater than right angle and also greater than the measure of straight line.
D. Obtuse angle is less than reflex angle.

A
D

B
A

C
C

D
B

Solution

Obtuse angle is less than reflex angle.

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(i)	(ii)	(iii)	(iv)
right	bisect	180°	one

(i)	(ii)	(iii)	(iv)
right	bisect	360°	three

(i)	(ii)	(iii)	(iv)
right	bisect	360°	one

(i)	(ii)	(iii)	(iv)
right	bisect	360°	two

Understanding Elementary Shapes Test - 7

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Understanding Elementary Shapes Test - 7

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Question 1

1°

60°

6°

360°

Solution

Question 2

7, 15 and 10

6, 15 and 10

7, 12 and 8

7, 15 and 8

Solution

Question 3

A

B

C

D

Solution

Question 4

triangular, 4 and 6

square, 4 and 6

square, 6 and 4

triangular, 6 and 4

Solution

Question 5

0

2

1

3

Solution

Question 6

360°

720°

180°

90°

Solution

Question 7

AB || CD

AB ∟ CD

AB ⊥CD

AB = CD

Solution

Question 8

line

ray

line Segment

None of the above

Solution

Question 9

D

B

A

C

Solution

Question 10

Equilateral triangle

Scalene triangle

Isosceles triangle

None of the above

Solution

Question 11

Rhombus

Rectangle

Trapezium

None of these

Solution

Question 12

6

7

8

9

Solution