CLASS 9 MATHEMATICS (GANITA MANJARI)
PRE MID-TERM EXAMINATION
Chapters Included
- Orienting Yourself – The Use of Coordinates
- Introduction to Linear Polynomial
- The World of Numbers
Time : 1 Hour Maximum Marks : 30
SECTION A
Multiple Choice Questions (1 × 4 = 4 Marks)
Q1. The point which lies in the second quadrant and is equidistant from both axes is
A. (-4,3) B. (-4,4) C. (-4,-4) D. (-4,0)
Q2. What is the slope of equation 3y=6x+5 ?
A. 6 B. 2 C. 3 D.5
Q3. Which of the following rational numbers has a non-terminating recurring decimal expansion?
A. 9/40 B. 13/50 C. 17/72 D. 21/125
Q4. At what point y=2x+6 cuts the x-axis ?
A. (0,3) B. 0,2) C. (0,6) D. (0,1)
SECTION B
Very Short Answer Questions (2 × 4 = 8 Marks)
Q5. Find a point on x-axis which is equidistant from A(2,-5) and B(-2,9).
Q6. Find 4 rational numbers between 9/4 and 7/3.
Q7. Represent the rational numbers 2/3, -5/4 and 3/2 on a single number line.
Q8. Find the coordinates of a point A, where AB is a diameter of a circle whose centre is (2,-3) and B(1,4).
SECTION C
Short Answer Questions (3 × 3 = 9 Marks)
Q9. Represent √13 on the number line.
Q10. Draw the graph of the following equation and write its slope and y-intercept.
4y = 3x –6
Q11. The vertices of a triangle are A(2,3), B(6,3), and C(6,8). Find the length of AB, BC, and AC using distance formula and write the type of triangle.
SECTION D
Long Answer Question (5 Marks)
Q12. Prove that √7 is an irrational number.
OR
The graph of a linear polynomial f(x) = mx + c passes through the points (1,5) and (4,14).
(i) Find the polynomial f(x).
(ii) Find the coordinates where the graph cuts the y-axis.
SECTION E
Case Study Based Question (1 + 1 + 2 = 4 Marks)
A city planner marks four important locations on a map at the following coordinates:
P(5,2), Q(-5,2), R(-5,-2), S(5,-2)
Based on the above information, answer the following questions:
(i) Which points are reflections of each other across the y-axis? (1 Mark)
(ii) What is the mid-point of QS ? (1 Mark)
(iii) Find the length and breadth of quadrilateral PQRS using distance formula. (2 Marks)
OR
Without plotting ,find which line segments are parallel to x-axis and how will you justify this ?
Students should also practice our other Class 9 Mathematics test papers, topper-level worksheets, MCQ collections, competency-based questions, and case study questions based on Ganita Manjari. For stronger preparation, explore our previous periodic tests, pre mid-term papers, Coordinate Geometry practice sets, Linear Polynomial question banks, and Number System worksheets designed according to the latest exam pattern for school examinations