Worksheet (Solutions): Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT PDF Download

Q1: A full turn is equal to how many degrees?
​(a) 90°
(b) 180°
(c) 270°
(d) 360°
Ans: (d)

Q2: Two half turns in the same direction are equal to:
(a) A quarter turn
(b) A full turn
(c) Three-quarter turn
(d) No turn
Ans: (b)

Q3: How many quarter turns make a full turn?
(a) 2
(b) 3
(c) 4
(d) 6
Ans: (c)

Q4: How many degrees are in one quarter turn?
(a) 45°
(b) 60°
(c) 90°
(d) 120°
Ans: (c)

Q5: A reflex angle is always:
(a) Less than 90°
(b) Between 90° and 180°
(c) Between 180° and 360°
(d) Equal to 90°
Ans: (c)

Q6: For each arrow turn, guess the size in degrees and state the type. 

(a) 1 quarter turn clockwise → ______ ° → type: __________

(b) 3 quarter turns anti‑clockwise → ______ ° → type: __________

(c) 1/2 of a full turn → ______ ° → type: __________

(d) 2/3 of a full turn  → ______ ° → type: __________

(a) 1 quarter turn clockwise
= 90°
→ type: Right angle

(b) 3 quarter turns anti-clockwise
= 3 × 90° = 270°
→ type: Reflex angle (since it’s more than 180° but less than 360°)

(c) 1/2 of a full turn
= 360° ÷ 2 = 180°
→ type: Straight angle

(d) 2/3 of a full turn
= (2/3) × 360° = 240°
→ type: Reflex angle

Q7: A robot starts facing East. It makes the following sequence of turns:

• 1 quarter turn clockwise,

• 1 half turn anti‑clockwise,

• 3 quarter turns clockwise.
  

(a) What direction is it facing now? __________
(b) What is the net turn (in degrees) relative to the start? __________°

Ans: 

Start: Facing East.

1. 1 quarter turn clockwise → from East → South.

2. 1 half turn anti-clockwise → from South → turn 180° left → North.

3. 3 quarter turns clockwise → 270° right from North → West.

So final direction = West.

Now, net turn relative to start (East):

• East → West is a 180° turn.

• Since the robot ended up on the opposite side of its start, the net turn is ±180°.

• Conventionally, we write it as −180° (anticlockwise) or +180° (clockwise)

Final answers (a) West
(b) Net 180°

Q8: Identify the type of angles given below: 

Ans: 

a. Right Angle 

b. Acute Angle 

c. Obtuse Angle

Q9. Draw angles with the following degree measures:

a. 60°

b. 45°

c. 180°

Ans:

 a.b. c.

Q10: Draw The following angles 

(a) a right angle and label it as ∠ABC.
Ans: 

(b) an acute angle and label it as ∠XYZ.
Ans: 

(c) a straight angle and label it as ∠PQR.
Ans: