sample question paper class 9 (1).docx

**[KENDRIYA VIDYALAYA RANCHI REGION]** **[PERIODIC TEST 2 -- 2024]** **[SAMPLE PAPER]** **[SUBJECT: MATHEMATICS]** **[MAX. MARKS: 40]** **[CLASS: IX]** **[TIME: 90 MINS]** **[GENERAL INSTRUCTIONS:]** i. ii. iii. iv. v. **SECTION A** 1. The point (5, -4) lies a. b. c. d. 2. Line s...

**[KENDRIYA VIDYALAYA RANCHI REGION]** **[PERIODIC TEST 2 -- 2024]** **[SAMPLE PAPER]** **[SUBJECT: MATHEMATICS]** **[MAX. MARKS: 40]** **[CLASS: IX]** **[TIME: 90 MINS]** **[GENERAL INSTRUCTIONS:]** i. ii. iii. iv. v. **SECTION A** 1. The point (5, -4) lies a. b. c. d. 2. Line segment joining the mid point of any side with the opposite vertex of triangle is a. b. c. d. 3. Which of the following needs a proof? a. b. c. d. 4. Lines are parallels if they do not intersect is stated in the form of a. b. c. d. 5. The measure of an angle which is equal to its complement is a. b. c. d. 6. Signs of the abscissa and ordinate of a point in the second quadrant are respectively a. b. c. d. 7. In triangle ABC, if AB=BC and [∠]{.math.inline}B=70^0^ , [∠]{.math.inline}A will be a. b. c. d. 8. The boundaries of solid are called: a. b. c. d. 9. Assertion (A): A, B, C, D are 4 friends. A's age is half of B's age and C's age is half of D's age. If the ages of A and C are equal, then B and D will be of same age. a. b. c. d. 10. Assertion(A): The point O (0, 0) lies in quadrant I a. b. c. d. **SECTION B** 11. In fig L1∥L2L1∥L2 and ∠1=52^∘^ the measure of ∠2. seo images 12. In the given figure, if AC = BD, then prove that AB = CD. 13. Plot the points (2,3), (-2, 3) , (-2, -3) and (2,-3) on a graph paper and join these points. Name the figure obtain. 14. In the given figure if x:y = 2:3 , find the value of x and y. 15. AD and BC are equal perpendiculars to a line segment AB (See figure). Show that CD bisects AB. SECTION C 16. Triangle ABC and triangle DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see Fig.). If AD is extended to intersect BC at P, Show that D B P C a. b. c. d. 17. If transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel. 18. If a point C lies between two points A and B such that AB= BC, then prove that AC=1/2 AB. Explain by drawing figure. 19. ABC is a triangle right angled at C. A line through the mid point M of hypotenuse AB and parallel to BC intersects at AC at D. a. b. SECTION D 20. Saumya has to reach her office every day at 10:00 am. On the way to her office, she drops her son at school. Now, the location of Saumya's house, her son's school and her office are represented by the map below. Using the details given, answer the following questions.  1\. Find the coordinates of Saumya's home.\ (a) (1, 4)\ (b) (4, 1)\ (c) (7, 1)\ (d) (1, 7) 2\. Find the coordinates of Saumya's office.\ (a) (7, 5)\ (b) (5, 7)\ (c) (7, 1)\ (d) (1, 7) 3\. Find the coordinates of Saumya's son's school.\ (a) (1, 4)\ (b) (4, 1)\ (c) (7, 1)\ (d) (1, 7) 4\. Find the distance between Saumya's home and her son's school.\ (a) 7km\ (b) 4km\ (c) 3km\ (d) 1km 21. Maths teacher draws a straight line AB shown on the blackboard as per the following figure.\ https://media-mycbseguide.s3.amazonaws.com/images/imgur/1606883548-4bsssx.jpg 1. 2. 3. 4. 5. **Now answer the following questions:** 1. 1. 2. 3. 4. 2. 1. 2. 3. 4. 1. 1. 2. 3. 4. 1. 1. 2. 3. 4.