At BhaveshNaveen, we provide online CBSE Question paper for class 9 Maths 2019-20 that consists of a good blend of crucial topics such as Algebra, Geometry, and Statistics and others. The CBSE Maths sample paper for Class 9 with solutions is the best fit for students who want to baseline themselves as they start off with the exam preparations. BhaveshNaveen wishes to instill the habit of solving sample paper through our downloadable pdf sample papers, especially for a subject like Mathematics since it requires a lot of practice and perseverance.
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RAW PAPER
' .1 Two parallelograms are on the same base and between same parallels. What is the ratio of their areas is?
In parallelogram ABCD, AB=10 cm and the altitude corresponding to the sides AB and AD are respectively 7cm and 8cm. Find AD.
0.3 A chord of a circle of radius 5cm with centre 0 is of length 6cm. Find its distance from the
centre.
(Q.4 If the sides of a triangle are 13cm, 14cm, and 15cm.Then find the area of the triangle. SECTION- B (2 X 4 =8 Marks)
rIn the given fig. L ABC= 69°and L ACB= 31°. Find L BDC. r)
(0.6 In a LIABC, E is the mid-point of median AD. Show that,ar(ABED) = 1/4 ar(ZIABC). Q.7 P and Q are any two points lying on the sides DC and AD respectively of a parallelogram (ABCD. (A0k13CD. Show that,ar(AAPB) = ar(ABQC).
5.8-Prove that, the perpendicular from the centre of a circle to a chord bisects the chord. SECTION- C (3 X 4= 12 Marks) .9 An isosceles triangle has perimeter 30cm and each of the equal sides is 12cm. Find the area of the triangle.
Q.10 The length, breadth and height of a room are 5m, 4m, 3m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per sq.meter. )..11 In the given figure, AP II BQ II CR. Prove that ar(AAQC)=ar(APBR).
,..i_Q.12 The length of the two sides of a right angled triangle containing the right angle differ by 2cm. if the area of the triangle is 24 sq.cm. Then find the perimeter of the triangle.
SECTION- D (4 X 4= 16 Marks)
Q.13 In the given fig.diagonals AC and BD of a quadrilateral ABCD intersect at 0 such that OB= OD. if AB= CD, then show that •
[3 (a)ar(ADOC)=ar(AA0B)(b)ar(ADCB)=ar(AACB) (c)--ABCD is a parallelogram. .14 Cohstruct a AABC, in which BC= 8cm, angle B= 45*and AB — AC =3.5cm. .15 Prove that, the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
OR
Prove that, parallelograms on the same base and between the same parallels are equal in
rea.
Q.16 On the occasion of Kendriya Vidyalaya Foundation day on date 15 December 2019. K.V Jaipur organized a competition for the students of their school and those students who will come on first three position they would be awarded.
In competition the instructor give a task to the students those participate in the event, in this instructor said the students for making and decorating penholders in the shape of a cylinder with base, using cardboard. Each penholder was to be of diameter 6cm and height 10.5cm. For this work K V Jaipur was to supply the competitors cardboard.
If there were 70 competitors participated in competition, how much cardboard was required to be bought for the competition? Also find the cost of cardboard required, if 1 sq.cm cardboard cost is Rs. 20.
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