Sample Maths Paper For Summative Assessment Page 3

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3
5
Q.24. Expand
x
1
.
2
3
2
3
2
ax
3x5) and (x
x
2xa) leave the same remainder when divided by
Q.25.
If the polynomials (2x
(x2), find the value of ‘a’.
9
9
b
Q.26.
Factorise : a
Q.27.
This figure represents line segments painted on a parking lot to create parking spaces.
If these line segments are parallel find the value of x and w.
People in the colony are thinking to use car pool while going to their work place. What value are they
showing by doing so ?
Q.28. Prove that two triangles are congruent if any two angles and the included side of one triangle
is equal to any two angles and the included side of the other triangle.
Q.29. Sides BC, CA and BA of a triangle ABC are produced to D, Q, P, respectively as shown in the
figure. If ACD100, QAP35, find all the angles of the triangle.
Q.30. In figure, ABC is an isosceles triangle with ABAC. D is a point in the interior of ABC such
that CBDBCD. Prove that AD bisects BAC of ABC.
Q.32. In figure ABCD is a square and CDE is an equilateral triangle. Prove that
EBC15
(i)
AEBE
(ii)
3

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