Download 9-fa-3-mat-qb24-11-2016

KENDRIYA VIDYALAYA CRPF AVADI, CHENNAI-600065
QUESTION BANK FOR FORMATIVE ASSESSMENT – III (2016 – 2017)
SUBJECT: MATHEMATICS
STANDARD: IX
1) The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent
this statement.
2) Express the linear equation -2x + 3y = 6 in the form ax + by + c = 0 and indicate the values of a, b and c.
3) Write, how many number of solutions for the linear equation y = 3x + 5.
4) Find the value of k, if x=2, y=1 is a solution of the equation 2x + 3y = k.
5) What is the sum of interior angles of a quadrilateral?
6) Solve the equation 2x+1 = x-3 and representing the solutions on (i) the number line, (ii) cartesian plane
7) In a quadrilateral ABCD ∠𝐴 = 900 and AB = BC = CD = DA then ABCD is a …………………..
8) Write four solutions for the equation x=4y.
9) Draw the graph of x + y = 7.
10) Give the equations of two lines passing through (2,14). How many more such lines are there , and why?
11) If the point (3,4) lies on the graph of the equation 3y = ax + 7, find the value of a.
12) Give the geometric representations of y=3 as an equation.
(i) in one variable (ii) in two variables
13) The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.
14) State the converse of the mid-point theorem?
15) Draw the graph of linear equation x + y = 4 in two variables.
16) Prove that a diagonal of a parallelogram divides it into two congruent triangles .
17) If the diagonals of a parallelogram are equal, then show that it is a rectangle.
18) Prove that if the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
19) Show that each angle of a rectangle is a right angle.
20) ABCD is a rectangle and P,Q,R and S are mid-points of the sides AB, BC, CD and DA respectively. Show
that the quadrilateral PQRS is a rhombus.
21) Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles , then it is a
square.
22) ABCD is a quadrilateral in which P,Q,R and S are mid-points of the sides AB, BC, CD and DA.
AC is a diagonal. Show that
D
R
1
2
(i) SR ǁ AC and SR = AC
C
(ii) PQ = SR
(iii) PQRS is a parallelogram.
S
A
Q
B
P
23) The taxi fare in a city is as follows: For the first kilometer , the fare is Rs 8 and for the subsequent distance
it is Rs 5 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for
this information, draw its graph.
24) ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD.
Show that (i) ∆APB ≅ ∆COQ
D
C
(ii) AP = CQ
P
Q
A
B
25) Prove that the line segment joining the mid-points of two sides of a triangle is parallel to the third side.
26) In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively. Show that the line
segments AF and EC trisect the diagonal BD.
D
F
C
p
Q
A
E
B
27) ABCD is a rhombus and P,Q,R and S are midpoints of the AB, BC, CD, and DA respectively. Show that the
quadrilateral PQRS is a rhombus.
There is no substitute for hardwork
****** All the Best ******
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