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Recent questions in Class 9
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Olympiad-Math
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Class 9
Class 9
Logical Reasoning
Number Systems
Polynomials
Coordinate Geometry
Euclid Geometry
Linear Equations
Lines and Angles
Triangles, circles and quadrilaterals
Surface Areas and Volumes
Statistics and Probability
Logical and Analytical Reasoning
Everyday Mathematics
In a $\Delta ABC$,AD is a median .X is a point on AD such that AX : XD = 2 : 3.Ray BX intersects AC in Y.Then BX=______ XY.
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 5, 2015
by
sreemathi.v
1
answer
A point D is on the side BC of an equilateral triangle ABC such that $DC=\large\frac{1}{4}$$BC$.Then $AD^2$=____$CD^2$
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 5, 2015
by
sreemathi.v
1
answer
ABC is a right angled triangle at A.BL and CM are its two medians,then $4(BL^2+CM^2)=$_______
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 5, 2015
by
sreemathi.v
1
answer
If one diagonal of a trapezium divides the other diagonal in the ratio 1 : 2,then one of the parallel sides is ______ the other.
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 3, 2015
by
sreemathi.v
1
answer
The perpendicular AD on the base BC of a $\Delta ABC$ intersects BC at D such that DB=3CD.Then $2(AB^2-AC^2)=$______
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 3, 2015
by
sreemathi.v
1
answer
In $\Delta ABC$.the bisector of $\angle A$ intersects BC in D.If AB=18 cm,AC=15 cm and BC=22 cm then BD=_____
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 3, 2015
by
sreemathi.v
1
answer
In $\Delta ABC$,P and Q are points on sides AB and AC respectively such that $PQ\parallel BC$.If AP=4 cm,PB=6 cm and PQ=3 cm,then BC is ____
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 3, 2015
by
sreemathi.v
1
answer
$\Delta ABC$ and $\Delta DBC$ are on the same base BC.Then $\large\frac{ar\;\Delta ABC}{ar\;\Delta DBC}$=______
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 3, 2015
by
sreemathi.v
1
answer
In a $\Delta ABC,\angle BCA=90^{\large\circ}$ and Q is the midpoint of BC.Then $AB^2+3AC^2=$______
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 3, 2015
by
sreemathi.v
1
answer
ABCD is a rectangle in which BC=2AB.A point E lies on ray CD such that CE=2BC.Then BE is _____ AC.
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 3, 2015
by
sreemathi.v
1
answer
In $\Delta PQR$,M and N are points on sides PQ and PR respectively such that PM=15 cm and NR=8 cm .If PQ=25 cm and PQ=20 cm ,then MN is ______ QR.
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 3, 2015
by
sreemathi.v
1
answer
The corresponding sides of two similar triangles are in the ratio 1 : 3.If the area of the smaller triangle is $40\;cm^2$,then the area of the larger triangle is ________
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 3, 2015
by
sreemathi.v
1
answer
The value of $x$ in the adjacent figure if $DE\parallel AB$ is ______
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 3, 2015
by
sreemathi.v
1
answer
An aeroplane leaves an airport and flies due north at a speed of $1000$ km/hr.At the same time,another aeroplane leaves the same airport and flies due west at a speed of $1200$ km/hr.How far apart will be the two planes after $1\large\frac{1}{2}$ hours?
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 3, 2015
by
sreemathi.v
1
answer
The vertices of a triangle ABC are A(a-1)an B$(2\sqrt a)$an C(a+1)an is ________ triangle.
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 3, 2015
by
sreemathi.v
1
answer
In a quadrilateral ABCD,$\angle B=90^{\large\circ}$ and $AD^2=AB^2+BC^2+CD^2$,then $\angle ACD=$______
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
A wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end.How far from the base of the poles should the stake be driven so that the wire will be taut?
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
In $\Delta PQR$,M and N are points on sides PQ and PR respectively such that PM=15 cm and NR=8 cm.If PQ=25 cm and PR=20 cm,then MR is ________ QR
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
ABCD is a trapezium in which $AB\parallel DC$.$P$ and $Q$ are points on sides AD and BC such that $PQ\parallel AB$.If $PD=18,BQ=35$ and $QC=15$,then $AD$=______
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
A staircase is as shown in the figure.Measurements of the steps are marked in the figure.Find the distance between AB.
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
$\Delta ABC$ is an isosceles triangle in which $\angle C=90^{\large\circ}$.If $AC=6$ cm,then $AB=$_____
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
In an isosceles triangle ABC if AC=BC,and $AB^2=2AC^2$,then $\angle C$=___
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
ABCD is a trapezium such that $BC\parallel AD$ and $AB=4$ cm.If the diagonals AC and BD intersect at O,such that $\large\frac{AO}{OC}=\frac{DO}{OB}=\frac{1}{2}$,then $BC$=
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
$\Delta ABC$ is a right triangle,right-angled at A and $AD\perp BC$.Then $\large\frac{BD}{DC}$=____
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
In a $\Delta ABC,AD$ is the bisector of $\angle BAC$.If $AB=6$ cm,$AC=5$ cm,and $BD=3$ cm,then $DC$=
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
A man goes $24$ m due west and then $7$ m due north.How far is he from the starting point?
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
$\Delta ABC\sim \Delta DEF$.If $BC=3$ cm,$EF=4$ cm and ar$(\Delta ABC)=54\; cm^2$,then ar$(\Delta DEF)$=
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
$\Delta ABC \sim \Delta DEF$,ar $(\Delta ABC)=9 cm^2$,ar $(\Delta DEF)=16 cm^2$.If $BC=2.1$ cm, then the measure of EF is
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
$\Delta ABC \sim \Delta DEF$ such that $DE=3$ cm,$EF=2$ cm,$DF=2.5$ cm,$BC=4$ cm,the perimeter of the $\Delta ABC$ is
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
In a $\Delta ABC$ which is an equilateral triangle such that $AD\perp BC$,then $AD^2$=_____
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
In an equilateral triangle ABC,if $AD\perp BC$,then
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
ABCD is a trapezium such that $BC\parallel AD$ and $AB=4$ cm.If the diagonals AC and BD intersect at O such that $\large\frac{AO}{OC}=\frac{DO}{OB}=\frac{1}{2}$,then $BC$=
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
If D,E,F are the mid-points of sides BC,CA and AB respectivelyof $\Delta ABC$,then the ratio of the areas of triangles DEF and ABC is
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
A vertical stick $12$ cm long casts a shadow $8$ cm long on the ground.At the same time a tower casts a shadow 40 m long on the ground.The height of the tower is _______
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
A ladder reaches a window which is 12 m above the ground on one side of the sheet,keeping its foot at the same point,the ladder is turned to the other side of the sheet to reach a window $9$ m high.The length of the ladder is $15$ m,then the width of the sheet is ______
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
The perimeters of two similar triangles are $30$ cm and $20$ cm respectively.If one side of the first triangle is $15$ cm,the corresponding side of the second triangle is _____
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
In the given figure $AB\parallel MN$.If $PA=x-2,PM=x,PB=x-1$ and $PN=x+2$,find the value of $x$.
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
In the given figure,AD is the bisector of $\angle BAC$.If $BD=2$ cm,$DC=3$ cm and $AB=5$ cm,then $AC$=______
olympiad
math
ch-7
triangles
class10
asked
Jan 2, 2015
by
sreemathi.v
1
answer
Two poles of height $7$ m and $12$ m stand on a plane ground.If the distance between their feet is $12$ m,then the distance between their tips is __________
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
The area of a right angled triangle if its radius is $3$ cm and altitude drawn to the hypotenuse is $2$ cm is ______
olympiad
math
ch-7
triangles
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
In two similar triangles $ABC$ and $DEF,AC=10\;cm$ and $DF=8\; cm$ and $AB=6.5$ cm then $DE$=______
olympiad
math
ch-7
triangles
class10
asked
Jan 2, 2015
by
sreemathi.v
1
answer
In $\Delta$ ABC,DE$\parallel$BC.If $AD=x,DB=x-2,AE=x+2$ and $EC=x-1$,then the value of $x$ is _____
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
The length of a diagonal of a rectangle whose adjacent sides are $8$ m and $6$ m long is _______
olympiad
math
ch-7
triangles
class9
asked
Jan 2, 2015
by
sreemathi.v
1
answer
Triangles ABC and DEF are similar as shown in the figure.The area of $\Delta ABC$ is $16$ sq.cm and that of $\Delta DEF$ is $25$ sq.cm.If $BC=2.3$ cm then $EF$ is _______
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
In the given figure AD is the bisector of $\angle BAC, AB=6$ cm,$AC=5$ cm and $BD=3$ cm then $DC$=_______
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
Two triangles ABC and DEF are similar to each other in which $AB=10$ cm and $DE=8$ cm,then the ratio of the areas of $\Delta ABC$ and $\Delta DEF$ is ________
olympiad
math
ch-7
triangles-circles-and-constructions
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If $(a+b)=13,(a-b)=11$ then $a^2+b^2$=_____
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
The value of $(996)^2$ is ______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If $2x+y=3$ and $xy=1$,then the value of $8x^3+y^3$ is ______
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
If $(x-\large\frac{1}{x})$$=5$,then $x^3-\large\frac{1}{x^3}$=_____
olympiad
math
ch-2
polynomials
class9
asked
Dec 31, 2014
by
sreemathi.v
1
answer
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