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.Read More

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