Class 9 Maths: CBSE Past Year Paper (SA-1) - 10 PDF Download

 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.