Sample Maths Paper For Summative Assessment Page 2

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2
Q.14. If x3 is a factor of x
kx12, then find the value of k. Also, find the other factor of the
polynomial for this value of k.
Q.15. In figure two sides AB and BC and median AM of ABC are respectively equal to sides DE
and DF and the median DN of DEF. Prove that ABC DEF.
Q.16. In figure, if lm and 1(x30), and 2(2x15), find 3 and 4.
Q.17. In figure, a transversal l cuts two lines AB and CD at E and F respectively. EG is the bisector
of AEF and FH is the bisector of EFD such that ab. Show that EGFH and ABCD.
Q.18. In figure PR > PQ and PS bisects  QPR. Prove that  PSR > PSQ.
Q.19. A kite is in the shape of a square with side 16 cm and an isosceles triangle of base 3 cm and
equal sides of 6 cm each (see fig). It is made up of two colours as shown in the figure. Find
the area of paper of each colour used in it. (Use
2 1.41)
Q.20. A park is in the shape of a quadrilateral ABCD in which AB  9 m, BC 12 m, CD  5 m,
AD  8 m and C 90. Find the area of the park.
SECTION-D
Question numbers 21 to 31 carry four marks each.
1
1
1
1
1
5
Q.21.
Prove that :
.
3
8
8
7
7
6
6
5
5
2
2
n
n
2
n
2
9
3
3
27
 

1
Q.22. If
, prove that mnl.
3m
3
27
3
2
3
7x6.
Q.23.
Factorise : x
2

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