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CBSE · Class 6 · Mathematics

Lines and Angles

Standard difficulty · 20 questions · 40 marks

Name: Date: Score: ____ / 40

Show your working for Sections B and C. Answers are on the last page — try every question first!

Section A — Choose the correct answer8 × 1 = 8 marks
1.
An angle of 50° is:
  1. obtuse
  2. right
  3. straight
  4. acute
2.
What is the smaller angle between the hands of a clock at 10 o'clock?
  1. 60°
  2. 300°
  3. 90°
  4. 50°
3.
An angle smaller than a right angle is called:
  1. straight
  2. reflex
  3. acute
  4. obtuse
4.
You face North and turn anticlockwise through 135°. Which way do you face now?
  1. North-West
  2. South-East
  3. South-West
  4. North
5.
An angle is 95°. The reflex angle that makes a full turn with it is:
  1. 265°
  2. 455°
  3. 175°
  4. 85°
6.
Two angles together make a straight angle. One is 101°. The other is:
  1. 281°
  2. 79°
  3. 169°
  4. 259°
7.
A line segment has:
  1. three end points
  2. one end point
  3. two end points
  4. no end points
8.
What angle is 5/8 of a full turn?
  1. 255°
  2. 112°
  3. 225°
  4. 56°
Section B — Short answer8 × 2 = 16 marks
9.
Through how many degrees does the minute hand of a clock turn in 6 minutes?
10.
Facing South, you make 2 right-angle turns clockwise. Which way do you face, and through how many degrees did you turn?
11.
Three angles fit together around a point to make a full turn. Two of them are 63° and 81°. Find the third.
12.
An angle measures 326°. What kind of angle is it? How much more would make a full turn?
13.
A straight angle is split into three angles. Two of them are 51° and 34°. Find the third.
14.
How many degrees is 2 full turns and 1/10 of a turn?
15.
Through how many degrees does the hour hand turn from 8 o'clock to 12 o'clock?
16.
Name the type of each angle: 251°, 180°, 307°.
Section C — Word problems4 × 4 = 16 marks
17.
Ananya stands facing North and turns clockwise through 270°. Which direction does Ananya face now? What fraction of a full turn was it?
18.
School starts at 7 o'clock in the morning and ends 4 hours later. Through how many degrees does the hour hand turn during the school day, and through how many full turns does the minute hand go?
19.
A slide in a park makes an angle of 23° with the flat ground on one side. What angle does it make with the ground on the other side? What kind of angle is that?
20.
A pizza is cut into 24 equal pieces, all meeting at the centre. What is the angle at the centre of each piece? Is it acute, right or obtuse?
AmbifulWorksheets
Practice that never repeats
CBSE · Class 6 · Mathematics

Answer key

Lines and Angles · AW-6M-LNA-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(d) acuteless than 90°
2(a) 60°the hands are 2 hour marks apart; each is 30°
3(c) acuteless than 90°
4(c) South-Westa turn of 3/8 of a full turn
5(a) 265°360° − 95° = 265°
6(b) 79°180° − 101° = 79°
7(c) two end points—
8(c) 225°5/8 of 360° = 225°
936°60 minutes is 360°, so 1 minute is 6°: 6 × 6 = 36
10North; 180°2 × 90° = 180°
11216°360° − 63° − 81° = 216°
12reflex; 34° more360° − 326° = 34°
1395°180° − 51° − 34° = 95°
14756°1/10 × 360° = 36° plus 2 × 360°
15120°4 hours × 30° = 120°
16reflex, straight, reflexacute < 90° < obtuse < 180° < reflex < 360°
17West; 6/8 of a full turneach 45° is one step round the 8 directions: 6 steps
18120°; 4 full turns4 × 30° = 120°; the minute hand makes one full turn every hour (ends at 11 o'clock)
19157°; obtuseangles on a straight line add up to 180°: 180° − 23°
2015°; acute360° ÷ 24 = 15°