# Free Understanding Elementary Shapes 03 Practice Test - 6th grade

You have points C, A and B on a straight line. AB = 13 cm, CB = 9 cm and AC = 4 cm. Which of the following options is true?

A.

Point C lies between A and B

B.

Point B lies between A and C

C.

Point A lies between B and C

D.

Point B lies exactly between A and C

#### SOLUTION

Solution : A

We can see that AC + CB = 4 cm + 9 cm  = 13 cm = AB. So, C lies between A and B.

You start from your home at point A and run  100 m in West direction to reach point B. After that, you run  50 m in East direction to reach point C. Then you run 100 m in a South direction and reach point D. Which of the following is true?

A.

ABBC

B.

BCCD

C.

ABCB

D.

ADCB

#### SOLUTION

Solution : B

If you draw the path on a paper, you will find it similar to the figure below. We can see that BCCD . If we have ∠ABC as θ, reflex ∠ABC is equal to _______.

A.

180θ

B.

180θ

C.

360θ

D.

360θ

#### SOLUTION

Solution : C From the figure, we can see that ABC+ Reflex ABC=360

So, Reflex ABC=360θ

​​

When the time on the clock is  12:00, the angle formed  between the hour and the minute hand is ____

A.

right angle

B.

straight angle

C.

zero angle

D.

acute angle

#### SOLUTION

Solution : C

At 12:00, the hour and the minute hand coincide with each other. In this case, the included angle is 0º. This is known as zero angle.

Identify the regular polygon/s from the following:

1. 2. 3. A.

1, 2 and 3

B.

1 and 2

C.

2 and 3

D.

1 and 3

#### SOLUTION

Solution : D

In a regular polygon, all the angles should be equal in measure and all the sides should be equal in length. This is true only for figures 1 and 3.

In ABC, ∠ABC = 90, ∠BAC = 45 and ∠ACB = 45. What is this triangle called?

A.

Right angled triangle

B.

Isosceles triangle

C.

90 triangle

D.

Right angled Isosceles triangle

#### SOLUTION

Solution : D

In a right-angled isosceles triangle, one angle is right angle and the rest two are acute and equal i.e. 45.

You are running on a circular jogging track. When you started, you were looking towards the South direction. After covering a quarter of the circular track, you were looking towards the East direction. You are running in __ direction.

#### SOLUTION

Solution :

There are only two options if at the start you are looking towards South. A rectangular prism is also known as __.

#### SOLUTION

Solution :

A rectangular prism is basically a cuboid. A cuboid has 6 faces and 12 edges. All the quadrilaterals are polygons, but all the polygons need not be quadrilaterals.

A.

True

B.

False

#### SOLUTION

Solution : A

A quadrilateral is a polygon with 4 sides. But, polygons may have more than 4 sides. So, all polygons need not be quadrilaterals, but all quadrilaterals are polygons.

State whether the following statement is true or false.

If one angle of a triangle is less than 90 degrees, it is known as an acute-angled triangle.

A.

True

B.

False

#### SOLUTION

Solution : B

If all the angles of a triangle are less than 90 degrees, it is known as the acute-angled triangle.