Class 9 Mathematics Periodic Test / Unit Test – I
(Ganita Manjari)
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 is at equal distance from both axes and lies in the third quadrant is:
A. (3, 3)
B. (-3, 3)
C. (-3, -3)
D. (3, -3)
Q2.
If p(x)=2x−7, then the value of p(−3)+p(2) is:
A. -16
B. -10
C. -9
D. 16
Q3.
Which of the following rational numbers has a terminating decimal expansion?
A. 21/45
B. 13/125
C. 17/90
D. 29/66
Q4.
A point lies 5 units to the left of the y-axis and 4 units below the x-axis. Its coordinates are:
A. (5, -4)
B. (-5, 4)
C. (-4, -5)
D. (-5, -4)
SECTION B – Very Short Answer Questions
(2 × 4 = 8 Marks)
Q5.
Check whether the points A(-5, -1), B(-2, -5), and C(4, -12) are on the same straight line.
Q6.
If we multiply a number by 5/2 and add 2/3 to the product, we get -7/12. Find the number.
Q7.
Express 0.5272727… in the form qp.
Q8.
If M(-7, 1) is the midpoint of the line segment joining A(3, -4) and B(x, y), find x and y.
SECTION C – Short Answer Questions
(3 × 3 = 9 Marks)
Q9.
Represent on the number line.
Q10.
Draw the graph of the following equation and write its slope and y-intercept:
5y=6x−10
Q11.
Three vertices of a rectangle are A(2, 1), B(7, 1), and C(7, 5). Without plotting on the graph, find the coordinates of the fourth vertex.
SECTION D – Long Answer Question
(5 Marks)
Q12.
Prove that is an irrational number.
OR
Three rational numbers x, y, z satisfy:
x+y+z=0 and xy+yz+zx=0
Show that all the rational numbers x, y, z must be simultaneously zero.
SECTION E – Case Study Based Question
(1 + 1 + 2 = 4 Marks)
Rahul plotted the following points on a graph paper: A(3,4), B(−3,4), C(−3,−4), D(3,−4)
Based on the above information, answer the following questions:
(i) In which quadrant does point C lie?
(1 Mark)
(ii) Which points are at equal distance from the y-axis?
(1 Mark)
(iii) Find the length and breadth of rectangle ABCD using the distance formula.
(2 Marks)
OR
(iii) Find the length of its diagonals. (2 Marks)
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