UNIQUE STUDY POINT

By Sumeet Sahu

www.uniquestudyonline.com
Unique Study Point, Amitesh Nagar, Indore, MP | Contact: 8103405051
Class: VISubject: MathematicsSession: 2025-26
Chapter: 02 - Lines and AnglesTime: 1½ HoursMax. Marks: 40

General Instructions:

  1. All questions are compulsory.
  2. This question paper contains 20 questions divided into five sections A, B, C, D and E.
  3. Section A contains 10 MCQs of 1 mark each.
  4. Section B contains 4 questions of 2 marks each.
  5. Section C contains 3 questions of 3 marks each.
  6. Section D contains 1 question of 5 marks.
  7. Section E contains 2 Case Study Based questions of 4 marks each.
SECTION A - Multiple Choice Questions (1 mark each)
Q1. Which of the following has no dimensions?
(a) Line
(b) Point
(c) Line segment
(d) Ray
Q2. The angle measure between the hour and minute hands at 9 o'clock is:
(a) 60°
(b) 90°
(c) 120°
(d) 270°
Q3. An angle greater than 180° but less than 360° is:
(a) Acute angle
(b) Obtuse angle
(c) Reflex angle
(d) Complete angle
Q4. Two angles whose sum is 180° are called:
(a) Complementary angles
(b) Supplementary angles
(c) Adjacent angles
(d) Vertical angles
Q5. Which angle is formed by ¼ of a complete rotation?
(a) 45°
(b) 60°
(c) 90°
(d) 180°
Q6. The number of degrees in three right angles is:
(a) 90°
(b) 180°
(c) 270°
(d) 360°
Q7. How many right angles make a straight angle?
(a) One
(b) Two
(c) Three
(d) Four
Q8. The measure of angle formed by the hands of a clock at 12 o'clock is:
(a) 0°
(b) 30°
(c) 60°
(d) 90°
Q9. A line extending in both directions without any endpoints is called:
(a) Line segment
(b) Ray
(c) Line
(d) Angle
Q10. An angle measuring exactly 180° is called:
(a) Acute angle
(b) Right angle
(c) Obtuse angle
(d) Straight angle
SECTION B - Short Answer Questions (2 marks each)
Q11. Differentiate between a line and a line segment with proper diagrams.
Q12. If one angle is 42° and another angle is 48°, find their sum. Are these angles complementary? Justify.
Q13. Draw an angle of 75° and label it as ∠PQR. Mark the vertex and the arms clearly.
Q14. At 5 o'clock, what is the angle between the hour hand and minute hand? What type of angle is it?
SECTION C - Short Answer Questions (3 marks each)
Q15. Three angles are in the ratio 1:2:3. If their sum is 180°, find the measure of each angle. Also classify each angle as acute, right, or obtuse.
Q16. From a point O, four rays OA, OB, OC, and OD are drawn in order. If ∠AOB = 40°, ∠BOC = 50°, and ∠COD = 60°, find ∠AOD. What type of angle is ∠AOD?
Q17. Two supplementary angles differ by 30°. Find both angles. (Note: Two angles are supplementary if their sum is 180°)
SECTION D - Long Answer Question (5 marks)
Q18. (a) Draw a straight line AB and mark a point O on it.
(b) Draw a ray OC such that ∠AOC = 135°.
(c) Find ∠BOC using calculation.
(d) Verify your answer by measuring ∠BOC with a protractor.
(e) Classify both ∠AOC and ∠BOC as acute, right, obtuse, or straight.
SECTION E - Case Study Based Questions (4 marks each)
Q19. Case Study 1: Windmill Blades

A windmill has 4 equally spaced blades attached to a central hub. As the wind blows, the blades rotate around the center in a complete circle.

Based on the above information, answer the following:
(a) What is the angle between two consecutive blades? (1 mark)
(b) What type of angle is formed between two consecutive blades? (1 mark)
(c) What is the angle between the first blade and the third blade? (1 mark)
(d) If the windmill rotates by 270°, how many blades will pass the starting position? (1 mark)
Q20. Case Study 2: Playground Design

In a school playground, a circular running track is divided into 6 equal sections for different activities. Each section forms an angle at the center of the circle.

Based on the above information, answer the following:
(a) What is the angle of each section at the center? (1 mark)
(b) If a student runs through 2 consecutive sections, through what angle has the student moved? (1 mark)
(c) How many sections are needed to form a straight angle? (1 mark)
(d) What type of angle is formed by 4 consecutive sections? (1 mark)

Made with ❤️ by Sumeet Sahu

Unique Study Point, Amitesh Nagar, Indore, MP

Website: uniquestudyonline.com

DETAILED ANSWER KEY - PAPER 03
SECTION A - Answers to MCQs
Q1. (b) Point
A point has no dimensions—no length, breadth, or height. It only represents a location.
Q2. (d) 270°
At 9 o'clock, minute hand at 12 and hour hand at 9. Angle = 9 × 30° = 270°.
Q3. (c) Reflex angle
An angle between 180° and 360° is called a reflex angle.
Q4. (b) Supplementary angles
Two angles whose sum is 180° are called supplementary angles.
Q5. (c) 90°
¼ of complete rotation = ¼ × 360° = 90°.
Q6. (c) 270°
Three right angles = 3 × 90° = 270°.
Q7. (b) Two
A straight angle = 180°. Two right angles = 180°.
Q8. (a) 0°
At 12 o'clock, both hands coincide, forming 0°.
Q9. (c) Line
A line extends infinitely in both directions.
Q10. (d) Straight angle
An angle measuring 180° is a straight angle.

Made with ❤️ by Sumeet Sahu