Practice this Class 9 Mathematics Pre Mid-Term Examination Paper based on Ganita Manjari Chapters 1 to 3. This paper contains important MCQs, coordinate geometry questions, linear polynomial problems, irrational numbers, graph-based questions, and case study questions prepared according to the latest exam pattern. This topper-level paper is highly useful for revision and school exam preparation.
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 on the x-axis and is 6 units left of the origin is
A. (-6,0) B. (0,-6) C. (6,0) D. (0,6)
Q2. If p(x) = 4x – 5, then the value of p(3) + p(-2) is
A. -6 B. 4 C. -3 D. 9
Q3. Which of the following rational numbers has a terminating decimal expansion?
A. 13/45 B. 17/64 C. 19/90 D. 23/42
Q4. Which of the following is not a polynomial?
A. x² + 3x + 1 B. 2x – 5 C. 1/x + 2 D. 7
SECTION B
Very Short Answer Questions
(2 × 4 = 8 Marks)
Q5. Check whether the points A(1,1), B(3,3), and C(5,5) are collinear.
Q6. If we multiply a number by 7/3 and subtract 5/6 from the product, we get 9/2. Find the number.
Q7. Express 0.363636… in the form p/q.
Q8. If M(4,-3) is the midpoint of line segment joining A(-2,5) and B(x,y), find x and y.
SECTION C
Short Answer Questions
(3 × 3 = 9 Marks)
Q9. Represent √10 on the number line.
Q10. Draw the graph of the following equation and write its slope and y-intercept.
3y = 2x + 12Q11. Three vertices of a parallelogram are A(1,2), B(6,2), and C(8,5). Without plotting on the graph, find the coordinates of the fourth vertex.
SECTION D
Long Answer Question
(5 Marks)
Q12. Prove that √5 is an irrational number.
OR
Three rational numbers a, b, and c satisfy
a + b + c = 6
and
ab + bc + ca = 11.
If one of the numbers is 1, find the other two numbers.
SECTION E
Case Study Based Question
(1 + 1 + 2 = 4 Marks)
Q13 A telecommunications company places four signal towers at the following coordinates:
S(2,4), T(2,-4), A(-3,-4), R(-3,4)
Based on the above information, answer the following questions:
(i) Which points are reflections of each other across the x-axis? (1 Mark)
(ii) Which points are reflections of each other across the y-axis? (1 Mark)
(iii) Find the length and breadth of quadrilateral STAR using distance formula. (2 Marks)
ORFind the length of diagonal SR.
Students preparing for Class 9 Mathematics exams should also practice other important worksheets, MCQ collections, periodic tests, case study questions, and chapter-wise question banks based on Ganita Manjari. You can also explore our detailed posts on Coordinate Geometry, Linear Polynomials, Number System, important irrational number proofs, graph questions, midpoint problems, and topper-level practice papers for better preparation in school exams and annual examinations.