CBSE Class 6 Mathematics Understanding Elementary Shapes Worksheet Set 06

Question 1. What is angle name of haf a revolution?
\(\angle YOZ = \underline{\hspace{2cm}}\)
Its is acute or obtuse
\(\angle BOC = \underline{\hspace{2cm}}\)
It is acute or obtuse
Answer: Half of a revolution equals a straight angle, which measures \(180^{\circ}\).
For the first protractor: Looking at the angle \(\angle YOZ\), the ray points to \(90^{\circ}\).
\(\angle YOZ = 90^{\circ}\) (It is a right angle, neither acute nor obtuse).
For the second protractor: Looking at the angle \(\angle BOC\), the ray points to \(60^{\circ}\).
\(\angle BOC = 60^{\circ}\) (It is an acute angle since it is less than \(90^{\circ}\)).
In simple words: Half a turn is a straight line angle of \(180^{\circ}\). A \(90^{\circ}\) angle is a right angle, and an angle less than \(90^{\circ}\) is an acute angle.
Exam Tip: Remember that a full revolution is \(360^{\circ}\), half a revolution is \(180^{\circ}\), and a quarter revolution is \(90^{\circ}\).

Question 2. Match the following :-
Measure of sides / angles of triangle      Type of triangle
i) 3 sides equal      scalene
ii) 2 sides equal      Isosceles right angled
iii) All sides different      Obtuse angled
iv) all angles acute      Right angled
v) 1 right angle      Equilateral
vi) 1 Obtuse angle      Acute angled
vii) 1 right angle and two sides equal      Isoeceles
Answer: Correct matching of triangle properties to their types:
i) 3 sides equal - Equilateral
ii) 2 sides equal - Isosceles
iii) All sides different - Scalene
iv) All angles acute - Acute angled
v) 1 right angle - Right angled
vi) 1 Obtuse angle - Obtuse angled
vii) 1 right angle and two sides equal - Isosceles right angled
In simple words: Triangles are classified by comparing their side lengths and interior angles.

Exam Tip: Learn triangle classification tables thoroughly; questions matching properties to names frequently appear in exams.

Question 3. Draw these figure.
a) A regular pentagon
b) A parallelo gram
Answer:
a) Regular Pentagon: A polygon with 5 equal sides and 5 equal interior angles (each measuring \(108^{\circ}\)).
b) Parallelogram: A quadrilateral with two pairs of parallel and equal opposite sides.
In simple words: A regular pentagon has 5 equal sides, and a parallelogram has opposite sides parallel.

Exam Tip: Use a sharp pencil and ruler when asked to draw geometric shapes in exams.

Question 4. Match the figures with the name
i)      a) Cylinder
ii)      b) Cone
iii)      c) Shere
iv)      d) Cubiod
v)      e) cube
Answer: Correct matching of 3D objects to their names (correcting spelling errors like Shere to Sphere and Cubiod to Cuboid):
i) - d) Cuboid
ii) - e) Cube
iii) - a) Cylinder
iv) - b) Cone
v) - c) Sphere
In simple words: Match everyday 3D shapes like boxes, balls, and cans to their correct geometric names.

Exam Tip: Be careful with spellings of 3D geometric shapes such as Sphere, Cylinder, and Cuboid.