CBSE Class 5 Mathematics Angles as Turns Worksheet Set 01

Match the Following

Question. Identify the direction of turn each object has made.

Explanation: Clockwise moves in the same circle as clock hands, while anti-clockwise moves the opposite way.

True or False

Question. A right angle is identical to a 1/4 turn.
Answer: True
Explanation: A full circle has 4 equal corners, and each 1/4 turn makes an exact right angle (90 degrees).

Question. Two acute angles can never form a right angle together.
Answer: False
Explanation: Two small acute angles like 45 degrees and 45 degrees can add up together to make a 90-degree right angle.

Question. A 3/4 turn is smaller than a straight angle.
Answer: False
Explanation: A straight angle is only a 1/2 turn, so a 3/4 turn is actually bigger than a straight angle.

Question. The minute hand finishes a full turn in 60 minutes.
Answer: True
Explanation: It takes 1 full hour, which is 60 minutes, for the long minute hand to go completely around the clock.

Question. A door hinge can complete a full turn.
Answer: False
Explanation: A door hits the frame and the wall, so it can only swing open part of the way and cannot spin all the way around.

Fill in the Blanks

Question. Starting from East, if you turn 2 right angles clockwise and then make a 1/2 turn anticlockwise, you will be pointing ______.
Answer: East
Explanation: 2 right angles turn you to West, and turning halfway back anticlockwise brings you right back to East.

Question. A 1/2 turn of a line forms a/an ______ angle.
Answer: Straight
Explanation: Turning halfway around makes a flat, straight line, which is called a straight angle.

Question. The minute hand of a clock completes a 1/2 turn in ______ minutes.
Answer: 30
Explanation: A full turn takes 60 minutes, so half of that time is 30 minutes.

Question. ______ right angles form a full turn.
Answer: 4
Explanation: You need four 1/4 turns (right angles) joined together to make one complete circle.

Question. A 1/4 turn is also named a ______ angle.
Answer: Right
Explanation: A quarter turn looks like an 'L' shape, which is known as a right angle.

Question. A 1/2 turn from North will aim to ______.
Answer: South
Explanation: Half a turn flips you completely around to look at the opposite direction, which is South.

Question. The direction contrary to clockwise is called ______.
Answer: Anti-clockwise
Explanation: Turning in the reverse direction of the hands of a clock is called anti-clockwise.

Question. Two half turns in the same way make a ______ turn.
Answer: Full
Explanation: Half plus half equals one whole, so two half turns make one full circle turn.

Questions / Short Question Answers

Question. The minute hand begins at 12 am. After 20 minutes, what fraction of a full turn has it completed?
Answer: 1/3 of a full turn
Explanation: A whole circle takes 60 minutes. 20 out of 60 minutes is 20/60, which simplifies to 1/3.

Question. How many minutes does the minute hand take to finish a 1/6 turn? (a) 5 minutes (b) 10 minutes (c) 15 minutes (d) 20 minutes
Answer: (b) 10 minutes
Explanation: A full turn is 60 minutes. Divide 60 by 6 to find that a 1/6 turn takes 10 minutes.

Question. Write five things that make an exactly full turn.
Answer: Clock minute hand, ceiling fan blades, washing machine drum, spinning top, and a swivel chair.
Explanation: All these objects can spin completely around in a full 360-degree circle.

Question. How many 1/12 turns create a full turn?
Answer: 12 turns
Explanation: When something is divided into 12 equal parts, it takes all 12 parts to make one whole turn.

Question. Raghav is facing North. He turns 2 right angles clockwise, then 1 right angle clockwise, and then 2 right angles anti-clockwise. Which direction is he looking now?
Answer: East
Explanation: 2 right angles clockwise point him South; 1 more points him West; then 2 right angles anti-clockwise turn him to face East.

Question. The minute hand starts at 3 and travels 5/12 of the way around the clock. How many minutes has it moved through?
Answer: 25 minutes
Explanation: Each 1/12 of a clock is 5 minutes. Multiply 5 minutes by 5 to get 25 minutes.

Question. Ravi looked at the clock. After a quarter turn, where will the minute hand land?
Answer: It will point to 11.
Explanation: The minute hand starts at 8. A quarter turn is 15 minutes, which moves the hand 3 numbers forward to 11.

Question. If Rohan turns 1/8 of a full-circle, what angle has he formed?
Answer: Acute angle
Explanation: 1/8 of a turn is smaller than a 1/4 turn (right angle), and any angle smaller than a right angle is acute.

Question. What type of angle is made by each turn (acute, obtuse, right)? 1/4 turn, 1/6 turn, and 1/4 + 1/8 turn.
Answer: 1/4 turn is a right angle; 1/6 turn is an acute angle; 1/4 + 1/8 turn is an obtuse angle.
Explanation: 1/4 turn makes a square corner (90°); 1/6 turn is smaller than 1/4 turn (acute); and adding 1/8 to 1/4 makes it wider than a right angle (obtuse).

Question. Starting from East, if you make 1/2 turn clockwise and then 1 right angle anti-clockwise, which direction are you pointing?
Answer: South
Explanation: Half a turn from East faces West, and then turning one right angle anti-clockwise brings you to South.

Question. Preeti turns 1/2 turn clockwise and then again 1/4 turn clockwise. What is her total turn?
Answer: 3/4 turn clockwise
Explanation: Add the two turns together: 1/2 + 1/4 = 2/4 + 1/4 = 3/4 turn.

Question. Reema takes 3 quarter turns in the same direction. How much has she turned in total? State your answer as a fraction of a full turn.
Answer: 3/4 of a full turn
Explanation: Each quarter turn is 1/4. Adding three of them together gives 1/4 + 1/4 + 1/4 = 3/4 of a turn.