Page 2 of 11 SUMMATIVE ASSESSMENT – II, 2012 II, 2012 MATHEMATICS / Class – IX / IX Time allowed : 3 hours Maximum Marks : 90 3 90 General Instructions : (i) All questions are compulsory. (ii) The question paper consists of 34 questions divided into four sections A, B, C and D. Section-A comprises of 8 questions of 1 mark each, Section-B comprises of 6 questions of 2 marks each, Section-C comprises of 10 questions of 3 marks each and Section-D comprises of 10 questions of 4 marks each. (iii) Question numbers 1 to 8 in Section-A are multiple choice questions where you are to select one correct option out of the given four. (iv) There is no overall choice. However, internal choices have been provided in 1 question of two marks, 3 questions of three marks each and 2 questions of four marks each. You have to attempt only one of the alternatives in all such questions. (v) Use of calculator is not permitted. (i) (ii) 34 8 1 6 2 10 3 10 4 (iii) 1 8 (iv) 2 3 3 4 2 (v) MA-1002
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SUMMATIVE ASSESSMENT II, 2012 MA-1002 ... 90 3 90 General ... Page 8 of 11 ABC AB AC, PAC AD CD AB ABCD ... Construct a triangle ABC in which BC 7cm, B 75 and AB AC 13cm. ABC BC 7
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Page 2 of 11
SUMMATIVE ASSESSMENT – II, 2012
II, 2012
MATHEMATICS /
Class – IX / IX
Time allowed : 3 hours Maximum Marks : 90
3 90
General Instructions :
(i) All questions are compulsory.
(ii) The question paper consists of 34 questions divided into four sections A, B, C and D.
Section-A comprises of 8 questions of 1 mark each, Section-B comprises of 6 questions of
2 marks each, Section-C comprises of 10 questions of 3 marks each and Section-D
comprises of 10 questions of 4 marks each.
(iii) Question numbers 1 to 8 in Section-A are multiple choice questions where you are to select
one correct option out of the given four.
(iv) There is no overall choice. However, internal choices have been provided in
1 question of two marks, 3 questions of three marks each and 2 questions of four marks
each. You have to attempt only one of the alternatives in all such questions.
(v) Use of calculator is not permitted.
(i)
(ii) 34 8
1 6 2 10
3 10 4
(iii) 1 8
(iv) 2 3 3 4 2
(v)
MA-1002
Page 3 of 11
SECTION–A /
Question numbers 1 to 8 carry one mark each. For each questions, four alternative choices have been provided of which only one is correct. You have to select the correct choice.
1 8 1
1. How many linear equations in x and y can be satisfied by x 1 and y 2 ?
(A) Only One (B) Two (C) Infinitely many (D) Three
x y x1 y2
(A) (B)
(C) (D) 3
2. In the figure, If ABDC and HFAB, then which of the following is true ?
(A) ar (GHF)(DHFC) (B) 3 ar (GHF)2 ar (DHFC) (C) ar (GHF)(HEF) (D) None of these
ABDC HFAB
(A) ar (GHF) ar (DHFC) (B) 3 ar (GHF)2 ar(DHFC)
(C) ar (GHF) ar (HEF) (D)
3. In the given fig O is centre of circle, ACO 35 and ABO 45, then BOC is
(A) 80 (B) 160 (C) 90 (D) 70
O ACO = 35 ABO45 BOC
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(A) 80 (B) 160 (C) 90 (D) 70
4. The graph of y 6 is a line : (A) parallel to x - axis at a distance 6 units from the origin (B) parallel to y - axis at a distance 6 units from the origin. (C) passing through the point (6,0) (D) passing through the origin.
y6
(A) x 6
(B) 6 y
(C) (6,0)
(D)
5. The class mark of the class 130 - 150 is :
(A) 130 (B) 135 (C) 140 (D) 145
130 - 150
(A) 130 (B) 135 (C) 140 (D) 145 6. In a cylinder, radius is doubled and height is halved, curved surface area will be :
(A) halved (B) doubled (C) same (D) four times
(A) (B) (C) (D)
7. If A&B are the only two outcomes of an event and P(A) 0.32 then value of P(B) would
be :- (A) 0.38 (B) 0.68 (C) 0.78 (D) 0.32
A B P(A) 0.32 P(B)
(A) 0.38 (B) 0.68 (C) 0.78 (D) 0.32 8. Volume of right circular cone of radius 6cm and height 7cm is
(A) 1892 cm3 (B) 66cm3 (C) 264cm3 (D) 132cm3
6 7
(A) 1892 3 (B) 66 3 (C) 264 3 (D) 132 3
SECTION-B /
Question numbers 9 to 14 carry two marks each.
9 14 2
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9. ABCD is parallelogram, AEDC and CFAD If AB16cm, AE8cm, CF10cm, find AD.
ABCD AEDC CFAD AB16 , AE8
CF10 AD
10. A solid shotputt is a metallic sphere of radius 4.9cm. Find the volume of the shot
putt.
4.9cm
11. The following observations have been arranged in ascending order. If the median of the
data is 63, find x 29, 32, 48, 50, x, x+2, 72, 78, 84, 95
63 x
29, 32, 48, 50, x, x+2, 72, 78, 84, 95 12. Out of the past 250 consecutive days, its weather forecasts were correct 175 times.
(i) What is the probability that on a given day it was correct ? (ii) What is the probability that it was not correct on a given day ?
250 175
(i)
(ii)
13. Prove that if chords of congruent circles subtend equal angles at their centres, then the
chords are equal.
OR/
Suppose you are given a circle. Give a construction to find its centre.
14. For a particular year, following is the distribution of age of primary school teachers in
25. In the figure ABCD is a parallelogram and AP, CQ are perpendiculars drawn from
vertices A and C on diagonal BD. Show that
Page 9 of 11
(i) APBCQD (ii) AP CQ
ABCD BD A C AP CQ
(i) APBCQD (ii) AP CQ
OR/
ABCD is a quadrilateral in which L, M, N and O are the mid points of the sides AB, BC, CD and DA respectively as in the figure below. Show that
(i) ONAC and ON 1
2 AC
(ii) ON LM (iii) LMNO is a gm.
ABCD L, M, N O AB, BC, CD DA
(i) ONAC ON1
2 AC
(ii) ON LM
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(iii) LMNO
26. Construct a triangle ABC in which BC 7cm, B75 and ABAC 13cm.
ABC BC7 B75 ABAC13
27. Draw the graph of xy 3 and 2x2y8 on the same axes. What does the graph of
these lines represent ?
xy3 2x2y8
28. A metal pipe is 77cm long. The inner diameter of a cross – section is 4cm, the outer
diameter being 4.4cm. Find the total surface area of the metal used.
77 4 4.4
29. In, the figure, if a line interacts two concentric circles with centre O at A,B,C and D, prove
that ABCD
O A, B, C D
ABCD.
30. Show that the line segments joining the mid points of the opposite sides of a quadrilateral
bisect each other.
31. The following linear equation converts Fahrenheit temperature to celcius
F
9
5
C32
(i) If the temperature is 40C what is the temp in Fahrenheit ?
(ii) If the temperature, is 95 F what is the temp. in celcius ? (iii) Is there a temp which is numerically of same value in Fahrenheit and celcius ? If
yes find the temperature.
F 9
5
C32
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(i) 40C
(ii) 95 F
(iii)
32. ABCD is a cyclic quadrilateral whose diagonals interest at E. If DBC70, BAC30,
find BCD. Further, if ABBC, find ECD.
ABCD E DBC70,
BAC30 BCD ABBC ECD
33. A godown measures 45m25m10m. If 8000 wooden crates each measuring
1.5m1.25m0.5m are stored in the godown. Find how many more such crates can be stored in the godown.
45 25 10 8000
1.5 1.25 0.5
OR/
A hemispherical tank is made of iron sheet 1cm thick. If the inner radius is 1m then find the volume of the iron used to make the tank.
1 1
34. A random survey of number of children of various age groups playing in a park was