paper: Math IX -SA II-Sample paper 2(silver series) - Total marks of the paper: 90 Total time of the paper: 3:30 Hrs Test instructions:General Instructions: 1.All questions are compulsory. 2. 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. 3. Question numbers 1 to 10 in Section–A are multiple choice questions where you are to select one correct option out of the given four. 4. There is no overall choice. However, internal choice has been provided in 1 question of two marks, 3 questions of three marks and 2 questions of four marks each. You have to attempt only one of the alternatives in all such questions. 5. Use of calculators is not allowed. 6. An additional 15 minutes has been allotted to read this question paper only. Questions: 1] If the dimensions of a cuboid are 3 cm, 4 cm and 10 cm, then its surface area is [Marks :1] A. 82 cm 2 B. 123 cm 2 C. 216 cm 2 D. 164 cm 2 2] Find the solution to x + 2 = 5. [Marks :1] A. -3 and 7 B. 3 and -7 C. -3 and -7 D. 3 3] Through three non collinear points on a plane, the number of circles that can be drawn are [Marks :1] A. two B. three C. Infinite D. One
Transcript
paper: Math IX -SA II-Sample paper 2(silver series) -
Total marks of the paper: 90
Total time of the paper: 3:30 Hrs
Test instructions:General Instructions:1.All questions are compulsory.2. 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.3. Question numbers 1 to 10 in Section–A are multiple choice questions where you are to select one correct option out of the given four.4. There is no overall choice. However, internal choice has been provided in 1 question of two marks, 3 questions of three marks and 2 questions of four marks each. You have to attempt only one of the alternatives in all such questions.5. Use of calculators is not allowed.6. An additional 15 minutes has been allotted to read this question paper only.
Questions:
1] If the dimensions of a cuboid are 3 cm, 4 cm and 10 cm, then its surface area is [Marks:1]
A. 82 cm2
B. 123 cm2
C. 216 cm2
D. 164 cm2
2] Find the solution to x + 2 = 5. [Marks:1]
A. -3 and 7B. 3 and -7C. -3 and -7D. 3
3] Through three non collinear points on a plane, the number of circles that can be drawn are [Marks:1]
A. twoB. threeC. InfiniteD. One
4] A diagonal of a parallelogram divides it into two [Marks:1]
A. TrianglesB. Similar trianglesC. ParallelogramsD. Congruent triangles
5] The value of k if x = 2, y = 1 is a solution of equation 2x - k = - 3y is: [Marks:1]
A. 7B. 6C. 5D. -7
6] The mean marks of 25 students of a class are 20. So the sum of their marks is equal to, [Marks:1]
A. 400B. 600C. 900D. 500
7] Range of data 70, 65, 71, 36, 55, 61, 62, 41, 40, 39, 35 is [Marks:1]
A. 35B. 70C. 71D. 36
8]
[Marks:1]
A. 30B. 15C. 20D. 10
9][Marks:2]
10]
Sanjeev bought 18 apples for Rs 45 and 12 oranges for Rs 25. Form a linear equation in two variables from above statement.
[Marks:2]
11]
[Marks:2]
12]
ABCD is a parallelogram in which P, Q, R and S are the mid points of the sides AB, BC, CD and DA respectively. AC is a diagonal, show that PQRS is a parallelogram.
[Marks:2]
13]
Construct an angle of 105o. Write the Steps of Construction.OrIn a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 3 : 4. Find the measure of each angles of the quadrilateral.
[Marks:2]
14] [Marks:
2]
15]
Find the volume, curved surface and total surface area of a cone with the given radius 3 m and height 4 m.ORThe curved surface area (CSA) of the cone is 814 sq. cm and the total surface area (TSA) of the cone is 1584 sq.cm. Find its volume.
[Marks:3]
16]
[Marks:3]
17]
The sum of the 10% of one number and 20% of the other number is equal to the 5 more than the 15% of the sum of two numbers. Write a linear equation in two variables to represent above statement.
[Marks:3]
18]
Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.
[Marks:3]
19]
Prove that the quadrilateral formed (if possible) by the internal angle bisectors of any quadrilateral is cyclic.
[Marks:3]
20]
Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.
[Marks:3]
21]
[Marks:3]
22]
[Marks:3]
23]
The relative humidity in Delhi, for the month of July, this year as reported by the Meteorological Department is given below:90, 97, 92, 95, 93, 95, 93, 85, 83, 85,83, 77, 83, 77, 74, 60, 71, 65, 80, 87,82, 81, 76, 61, 63, 58, 58, 56, 57, 54, 98Present the data in the form of frequency distribution.
[Marks:3]
24]
[Marks:3]
25]
[Marks:4]
26]
Prove that: A diagonal of a parallelogram divides it into two congruent triangles. [Marks:4]
27]
[Marks:4]
28]
[Marks:4]
29]
[Marks:4]
30] [Marks:
4]
31]
Construct a triangle with base of length 7.5 cm, the difference of the other two sides 2.5 cm and one base angle of 45o. Justify the Construction.OrConstruct a right triangle with perimeter 11 cm and one base angle 30o
[Marks:4]
32]
[Marks:4]
33]
The cost of painting the total outside surface of a closed cylindrical oil tank at 60 paise per sq. dm is Rs 237.60. The height of the tank is 6 times the radius of the base of the tank. Find its volume correct to two decimal places.
[Marks:4]
34]
The diameter of a sphere is decreased by 25%. By what per cent does its curved surface area decrease? OrThe volumes of the two spheres are in the ratio 125 : 64. Find the ratio of their surface areas
[Marks:4]
Solutions:1] Surface Area of a cuboid=2(lb + bh + hl)
=2(3x4+4x10+10x3)=2 x 82=164 (1 Mark)
2] x+2=5=>x=5-2=3Solution to x+2=5 is 3
3] Only one circle can be drawn through three non collinear points on a plane.(1 Mark)4] A diagonal of a parallelogram divides it into two congruent triangles.(1 Mark)5]
6]
7] Range = Greatest value - smaller value= 71-35= 36(1 Mark)
8]
9]
10] Let the apple be denoted by A Oranges be denoted by O. Sanjeev bought 18 apples which is equal to 18A and 12 oranges which is equal to 12O (1 Mark)Total cost of 18 apples and 12 oranges= Rs45+Rs25=Rs70Thus, the given information can be represented as a linear equation as:18A+12O=70 (1 Mark)
