# CBSE Class 9 Mathematics Sample Paper 2017 (4)

CBSE Class 9 Mathematics Sample Paper 2017 (4). It’s always recommended to practice as mane sample papers as possible before the examinations. Students can download the sample papers and also question papers of previous years to practice and score better marks in examinations. Refer to other links too for more sample papers.

(Question numbers 1 to 4 carry one mark each)

Q.1 If three angles of a quadrilateral are 300, 850, 920 then find the fourth angle.

Q.2 In the given figure, AOB is a diameter of the circle and AC=BC then find ÐCAB.

C

A B

Q.3 Find the median of the prime numbers between 51 and 80.

Q.4 If the volume of a sphere is numerically equal to its surface area then find the radius of the

sphere.

SECTION-B

(Question numbers 5 to 10 carry two marks each)

Q.5 In a DABC, E is the midpoint of median AD. Show that ar (BED) =

4

1

ar (ABC).

Q.6 The radii of two right circular cylinders are in the ratio 2:3 and their heights are in the ratio

of 5:4. Calculate the ratio of their curved surface area.

Q.7 Find the mode of the following data :

14, 25, 14, 26, 27, 16, 14, 18, 22, 25, 26, 30, 14, 25, 22

Q.8 In a cricket match, a batsman hits a boundary 4 times out of 30 balls, he plays. Find the

probability that he did not hit a boundary.

Q.9 Prove that equal chords of a circle subtend equal angles at the centre.

Q.10 If the arithmetic mean of 25, 30, 32, x, 43 is 34, then find the value of x.

SECTION – C

(Question numbers 11 to 18 carry three marks each)

Q.11 Find three different solutions for the equation : 3x – 8y = 27.

O

Q.12 Prove that diagonal of a parallelogram divides it into two congruent triangles.

Q.13 Draw a line segment AB = 5cm. From the point A, draw a line segment AD = 6 cm making

ÐDAB = 600. Draw the perpendicular bisector of AD. Does it pass through B ? (use ruler

and compass only)

Q.14 The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find

the cost of white washing its curved surface at the rate of Rs. 410 per 100 m2.

Q.15 Prove that parallelograms on the same base and between the same parallels are equal in

area.

Q.16 The relative humidity (in %) of a certain city for a month of 30 days was as follows :

98.1 98.6 99.2 90.3 86.5 95.3

92.9 96.3 94.2 95.1 89.2 92.3

97.1 93.5 92.7 95.1 91.2 93.3

95.2 97.3 96.2 92.1 84.9 90.2

95.7 98.3 97.3 96.1 92.1 89

i) Construct a grouped frequency distribution table with classes 84-86, 86-88 etc.

ii) Which month or season do you think this data is about?

iii) What is the range of this data?

Q.17 In the following fig. ABCD is a trapezium in which AB || DC. O is the mid point of BC.

Through the point O, a line PQ || AD has been drawn which intersects AB at Q and DC

produced at P. Prove that ar (ABCD) = ar (AQPD).

Q.18 In a survey, 1000 families with two children were selected randomly and the following data

were recorded.

No. of girls in the family 2 1 0

No. of families 320 460 220

Find the probability of a family , chosen at random having

(i) 2 girls (ii) 1 girl (iii) less than 1 girl

SECTION - D

(Question numbers 19 to 28 carry four marks each)

Q.19 Show that the line segment joining the mid points of the opposite sides of a quadrilateral

bisect each other.

Q.20 Construct a triangle PQR in which ÐR = 450, ÐQ = 600 and PQ + QR + RP = 11 cm.

Q.21 Draw the graph of linear equation x + 2y = 8. From the graph, check whether (-1, -2) is a

solution of this equation.

Q.22 A 44m × 11m sheet is rolled along length to form a cylinder. Find the volume of the

cylinder.

Q.23 Two parallel lines ‘l’ and ‘m’ are intersected by a transversal ‘t’ as shown in the figure.

Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

P A S

l

B D

m

Q C R

t

Q.24 Draw the graph 4x – 3y = 12 and determine the (i) points of intersection of this line with

the co-ordinate axes and (ii) the area of triangle bounded by this line and co-ordinate axes.

Q.25 Prove that the opposite angles of a cyclic quadrilateral are supplementary.

Q.26 The circumference of the base of a cone is

7

220

cm and its slant height is 13 cm. Find the

volume of the cone.

Q.27 2000 plants each, were planted in 500 schools during ‘Grow tree’ campaign. After 3

months, number of plants that survived were recorded as follows :

No. of plants survived

Less

than 500

500-700

701-

1200

1201-

1500

more

than

1500

Total no.

of

schools

No. of schools 50 200 100 100 50 500

When a school is selected at random, what is the probability that :

i) more than 700 plants survived ?

ii) less than 1201 plants survived in the school ?

iii) 701 to 1500 plants survived?

iv) Which value is inculcated in students by this campaign?

Q.28 The following distribution gives I.Q.’s of 50 students of a class.

I.Q. 60-80 80-100 100-120 120-140 140-160 160-180

No. of students 10 8 12 6 9 5

Draw a frequency polygon for the data.

SECTION-E (Open Text)

(Please ensure that open text of the given theme is supplied with this question paper)

Q.29 a) Define 1 unit of electricity consumption.

b) Form linear equation to calculate bill for consumption of electricity units

between 200 units and 400 units for Mumbai using the above tariff table.

(2)

(2)

Q.30 a) Calculate the electricity bill of a family in Chennai whose electricity

consumption for a month was 350 units using above Tariff table.

(5)

b) What is the motive behind giving knowledge of electricity bill to the students? (1)

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