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# Mathematics Past Year Paper SA-1(Set-1)- 2015, Class 9, CBSE Class 9 Notes | EduRev

## Class 9 : Mathematics Past Year Paper SA-1(Set-1)- 2015, Class 9, CBSE Class 9 Notes | EduRev

``` Page 1

Class – IX
Sub: Mathematics
Time allowed: 3 hours  Maximum Marks: 90
Question numbers 1 to 4 carry 1 mark each:-
Q. 1 If
x
x
25
125
5
= find x.
Q. 2 Find the value of P
2
3
? ?
? ?
? ?
for p(y) =
3 2
2 y y 13 y 6 . ? ? ?
Q. 3 Do the points lie in the same quadrant? (6,-6) and (-6, 6).
Q. 4 Find complementary angle of
o
35
Section B
Question numbers 5 to 10 carry 2 marks each:
Q. 5 Without actually calculating the cubes, Find the value of
3 3 3
45 25 20 ? ? .
Q. 6 If the area of an equilateral triangle is
2 1 6
3 c m The Find perimeter.
Q.7 Angles of a triangle are in the ration 3:4:5. Find largest angle of the triangle.
Q.8 AB=BC and BP-BQ Show that AP=CQ
Q. 9 Plot the points (2,-2), (-4,4) and join them does the line pass through origin.
Q.10 Find a rational and irrational no. between 2 and 3 .
Section C
Question numbers 11 to 20 carry 3 marks each.
Page 2

Class – IX
Sub: Mathematics
Time allowed: 3 hours  Maximum Marks: 90
Question numbers 1 to 4 carry 1 mark each:-
Q. 1 If
x
x
25
125
5
= find x.
Q. 2 Find the value of P
2
3
? ?
? ?
? ?
for p(y) =
3 2
2 y y 13 y 6 . ? ? ?
Q. 3 Do the points lie in the same quadrant? (6,-6) and (-6, 6).
Q. 4 Find complementary angle of
o
35
Section B
Question numbers 5 to 10 carry 2 marks each:
Q. 5 Without actually calculating the cubes, Find the value of
3 3 3
45 25 20 ? ? .
Q. 6 If the area of an equilateral triangle is
2 1 6
3 c m The Find perimeter.
Q.7 Angles of a triangle are in the ration 3:4:5. Find largest angle of the triangle.
Q.8 AB=BC and BP-BQ Show that AP=CQ
Q. 9 Plot the points (2,-2), (-4,4) and join them does the line pass through origin.
Q.10 Find a rational and irrational no. between 2 and 3 .
Section C
Question numbers 11 to 20 carry 3 marks each.
Q.11 Express 0. 12 3 in the form of
p
q
Q.12 Find the area of triangular park whose sides are of length 120m, 80m and 50m.
Q.13 If (3x-2) is a factor of
3 2
3x x 20 x 12. ? ? ? Find other factors.
Q.14 If AB||CD. Determine x.
Q.15 If two lines intersect each other then prove that vertically opposite angles are equal.
Q.16 If a line 1 is the bisector of A ? , then find OQ.
Q.17 Mr. Saxena has a rectangular plot of land ABCD which he decided to donate to his society for
the organization of fitness campaign like yoga, mediation etc. the co-ordinates of three vertices of
plot are A(-2,-5), B(6,-5) and (6,-1). Plot these points find co-ordinates of fourth vertex.
Which value does Mr. Saxena possess?
Q.18 find product using suitable identity
2 4
2 4
1 1 1 1
x x x x
2 2 x x
? ? ? ? ? ? ? ?
? ? ? ?
? ? ? ? ? ? ? ?
? ? ? ? ? ? ? ?
Q.19 If AB||CD, CD||EF and x:y=3:2 find Z.
Q20. ABC is an isosceles ? has points D and E on BC such that BE=CD Show that AD=AE.
Page 3

Class – IX
Sub: Mathematics
Time allowed: 3 hours  Maximum Marks: 90
Question numbers 1 to 4 carry 1 mark each:-
Q. 1 If
x
x
25
125
5
= find x.
Q. 2 Find the value of P
2
3
? ?
? ?
? ?
for p(y) =
3 2
2 y y 13 y 6 . ? ? ?
Q. 3 Do the points lie in the same quadrant? (6,-6) and (-6, 6).
Q. 4 Find complementary angle of
o
35
Section B
Question numbers 5 to 10 carry 2 marks each:
Q. 5 Without actually calculating the cubes, Find the value of
3 3 3
45 25 20 ? ? .
Q. 6 If the area of an equilateral triangle is
2 1 6
3 c m The Find perimeter.
Q.7 Angles of a triangle are in the ration 3:4:5. Find largest angle of the triangle.
Q.8 AB=BC and BP-BQ Show that AP=CQ
Q. 9 Plot the points (2,-2), (-4,4) and join them does the line pass through origin.
Q.10 Find a rational and irrational no. between 2 and 3 .
Section C
Question numbers 11 to 20 carry 3 marks each.
Q.11 Express 0. 12 3 in the form of
p
q
Q.12 Find the area of triangular park whose sides are of length 120m, 80m and 50m.
Q.13 If (3x-2) is a factor of
3 2
3x x 20 x 12. ? ? ? Find other factors.
Q.14 If AB||CD. Determine x.
Q.15 If two lines intersect each other then prove that vertically opposite angles are equal.
Q.16 If a line 1 is the bisector of A ? , then find OQ.
Q.17 Mr. Saxena has a rectangular plot of land ABCD which he decided to donate to his society for
the organization of fitness campaign like yoga, mediation etc. the co-ordinates of three vertices of
plot are A(-2,-5), B(6,-5) and (6,-1). Plot these points find co-ordinates of fourth vertex.
Which value does Mr. Saxena possess?
Q.18 find product using suitable identity
2 4
2 4
1 1 1 1
x x x x
2 2 x x
? ? ? ? ? ? ? ?
? ? ? ?
? ? ? ? ? ? ? ?
? ? ? ? ? ? ? ?
Q.19 If AB||CD, CD||EF and x:y=3:2 find Z.
Q20. ABC is an isosceles ? has points D and E on BC such that BE=CD Show that AD=AE.
Section D
Questions numbers 21 to 31 carry 4 marks each:
Q. 21 Simplify :
6 8 2
6 2 3
2 3 6 3 6 2
? ?
? ? ?
Q. 22 The volume of cuboid is polynomial. P(x) =
3 2
4 x 20 x 33x 18 ? ? ? find possible expression for dimension of
the cuboid.
Q.23 Factorise :
1 2
x 1 ?
Q.24 Prove that angles opposite to equal sides of a triangle are equal
Q.25 Find (a=b)
Q.26 AC=AE, AB=AD and BA D EAC ? ? ? Show that BC=DE
Q.27 If
3 2
x a x bx 6 ? ? ? has (x-2) has factor and leaves remainder 3 when divided by (x-3). Find the values of a
and b.
Q.28 T is a point on side QR of PQ R ? and S is a exterior point such that RT=ST. Prove that PQ+PR>QS
Q.29 <1=<3, <2=<4, <3=4 Write the relation between <1 and <2 Using a Euclid’s axiom
Q.30 Locate 3 on a number line.
Q.31 If x+y+z =10 and
2 2 2
x y z 40 ? ? ? Find xy+yz+zx.
```
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