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.