maths quiz for class ix and x
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Group No.-2
Class - IX ,X
First Round
General Maths (Objective Type)
1. 45 end with digit -
• A. 0• B. 5• C. 4• D. 6
Ans. C. 4
2.If the root of the equation 3x²-kx-2=0 is 2,then what is the value of k.
• A. 0• B. -2• C. 3 • D. 5
Ans. D. 5
3.If p+2, 4p-6 and 3p-2 are the three consecutive terms of an A.P., Find the value of p.
• A. 1• B. 2• C. 3• D. 4
Ans. C. 3
4.In Series 1,3,7,15,…..,what is the next term?
• A. 28• B. 29• C. 30• D. 31
Ans. 31
5. If the tan A=3/4,then what is the value of sec A ?
• A. 4/3• B. 3/5• C. 5/3• D. 5/4
Ans. D. 5/4
Q.6-What is the value of Cos80°/Sin10°+Cos 59°Cosec31°.
• A. 0• B. 1• C. 2• D. 3
Ans. C. 2
Q.7-If A+B+C=180° and angle A=90°,then what is value of tan(B+C)?
• A. 0• B. 1• C. Not define• D.1/√2
Ans.-Not define
Q.8-What is the value of A? if 2Sin²A=1/2 , 0°<A<90°.
• A. 0°• B. 30°• C. 45°• D. 60°
Ans. 30°
Geometry
Second round
1. In given figure, QT┴ PR, what is the value of x?
P
QS
T
Rx40o
30o
•Ans. 80°
2. In given circle AB is diameter of circle.What is the value of x ?
60o
C
A B
D
x
Ans. 30o
3.In given figure , PAR=90°. Find QPR.
Q P
R
A 90O
24 cm.
26 cm
6 cm
8 cm
Ans. 90o
4.In the given figure,∆ODC~∆OBA.BOC=125° and CDO=70°,Find OAB.
D C
O
A B
125o
70o
Ans. 55o
5.Give the name of the point of intersection where all the altitude of a triangle meet.
Ans. Arthocentre.
6. If one angle of an isosceles triangle is of 50° and AB=AC,Find the value of other two angles.
A
B C
50o
Ans. 65°,65o
7. What is the area of an equilateral triangle if the length of side is a unit?
Ans. (√3/4)a2
8.Find the Sum of the interior angles of a polygon having 12 sides.
Ans.1800°
3rd Round(Passing Round)
Q.1. Two Cubes each of volume 64 cm³ are joined end to end . Find the surface area of the resulting cuboid.
Ans.160 cm²
Q.2. The radius of a sphere is 14cm. It is melted and drawn into a cylindrical wire of 7 cm in radius. Find the length of the wire.
Ans. 56 cm.
3. Find the volume of the greatest sphere that can be cut from a cylindrical log of wood of base radius 1cm and height 5 cm.
Ans. (4/3) cm³
4. Radius of a cone is 4 cm. Find the height of the cone so that its volume may be equal to that of a sphere of 4cm in diameter.
Ans. 2 cm.
Fourth Round
Algebra
Q.1 Name the mathematician .Who first compute the decimal
expansion of л(Pie).
Ans. Archimedes
Q.2- Find the value of 32 2/5.
Ans. 4
Q.3- What are the zeros of the polynomial P(x)=x²-5x+6?
Ans. 2,3
Q.4- What is the remainder when x4 + x³+x²- 2x+1 is divided by x-1?
Ans. 2
Q.5-If x+y+z=0 then x³+y³+z³ is equal to …………. .
Ans. 3xyz
Q.6-Find the value of [(1.7)2 – (1.3)2]/(1.7-1.3)
Ans. 3
Q.7- If the coordinate of a point are (3,2) then find the abscissa.
Ans. 3
Q.8- Give any two solution of the equation x+2y= 6.
Ans. X=6, y=0 and x=0 , y=3
End of the Group II