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

### Question 1

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?

Point C lies between A and B

Point B lies between A and C

Point A lies between B and C

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.

### Question 2

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?

AB⊥BC

BC⊥CD

AB⊥CB

AD⊥CB

#### SOLUTION

Solution :B

If you draw the path on a paper, you will find it similar to the figure below. We can see that BC⊥CD .

### Question 3

If we have ∠ABC as θ, reflex ∠ABC is equal to _______.

180∘−θ

−180∘−θ

360∘−θ

360∘−θ

#### SOLUTION

Solution :C

From the figure, we can see that ∠ABC+ Reflex ∠ABC=360∘So, Reflex ∠ABC=360∘−θ

### Question 4

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

right angle

straight angle

zero angle

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.

### Question 5

Identify the regular polygon/s from the following:

1.

2.

3.

1, 2 and 3

1 and 2

2 and 3

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.

### Question 6

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

Right angled triangle

Isosceles triangle

90∘ triangle

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∘.

### Question 7

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

#### SOLUTION

Solution :There are only two options if at the start you are looking towards South.

### Question 8

A rectangular prism is also known as

#### SOLUTION

Solution :A rectangular prism is basically a cuboid. A cuboid has 6 faces and 12 edges.

### Question 9

All the quadrilaterals are polygons, but all the polygons need not be quadrilaterals.

True

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.

### Question 10

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.

True

False

#### SOLUTION

Solution :B

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