CBSE Sample paper 1 (Silver series) - IX - Math -SA IIQuestion :The range of the data 14, 27, 29, 61, 45, 15, 9, 18 isOptions :Option 1 :61Option 2 :47Option 3 :53Option 4 :52Solution :

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Options :Option 1 :0.66Option 2 :0.34Option 3 :0.33Option 4 :0.83Solution :

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Options :Option 1 :Option 2 :Option 3 :Option 4 :Solution :The total number of students is 30.

The number of students weighing more than 55 kg is 14.

Required probability

Question :If three angles of a quadrilateral are 110o, 82o, 68o, then its fourth angle isOptions :Option 1 :260oOption 2 :68oOption 3 :110oOption 4 :100oSolution :

Question :The chord, which passes through the centre of the circle, is called aOptions :Option 1 :Radius of the circle.Option 2 :SemicircleOption 3 :None of theseOption 4 :Diameter of the circle.Solution :The chord which passes through the centre of the circle, is called a Diameter of the circle.Question :If a right angled triangle is revolved about one of the sides containing the right angle it forms aOptions :Option 1 :Right triangleOption 2 :Right circular cylinderOption 3 :PrismOption 4 :Right circular coneSolution :

Question :In an equation of line y = 0, if y co-ordinate is zero, then value of x co-ordinate is:Options :Option 1 :InfiniteOption 2 :1Option 3 :FiniteOption 4 :ZeroSolution :On the line y = 0, for all values of x, value of y is always zero. (1 Mark)Question :Solutions of the equation 2x + 5y = 0 is:Options :Option 1 :(0, 4)Option 2 :(3, 0)Option 3 :(-3, 2)Option 4 :(0, 0)Solution :Put x = 0 and y = 0 in the equation we get the right side of the equation equals to 0. So, (0, 0) is a solution of the equation 2x + 5y = 0 (1 Mark)Question :

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Solution :The given line is parallel to the Y axis, therefore its equation is of the type x = a.(1 Mark)Now, the line passes through the point (1, 0). This implies that a = 1.Hence the equation of the line is x = 1 (1 Mark)Question :What should be the area of chart paper required to cover a cylindrical box whose radius is 7 cm and height is 15 cm?Solution :

Question :Find the median of the data3, 13, 9, 5, 21, 23, 23, 40, 23, 14, 12, 46, 22, 29.Solution :

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Question :Find the quadrant in which the lines x = 3 and y = -4 intersect graphically.ORSolve the given equation mx - 8 = 6 - 7(x + 3).Find the value of m for which the equation does not have any solution.Solution :

Question :Laxmi purchases some bananas and some oranges .Each banana costs Rs.2 while each orange costs Rs.3. If the total amount paid by Laxmi was Rs.30 and the number of oranges purchased by her was 6, then how many bananas did she purchase?Solution :

Question :Show that a quadrilateral whose diagonals bisect each other at right angles is a rhombus.Solution :

Question :Construct an isosceles triangle whose base = 7.5 cm and the vertical angle is twice each of its base angles.Solution :

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Question :Prove that of all parallelograms of given perimeter, a rectangle has the greatest area.Solution :

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Question :A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine the cost of sheet for it, if a sheet measuring 1 m2costs Rs 20.Solution :

Question :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.Solution :

Question :Twenty four people had a blood test and the results are shown below.A , B , B , AB , AB , B , O , O , AB , O , B , A

AB , A , O , O , AB , B , O , A , AB , O , B , A

(a) Construct a frequency distribution for the data.(b) If a person is selected randomly from the group of twenty four people, what is the probability that his/her blood type is not O?Solution :

Question :Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. How old will the son be three years from now?Solution :Let the age of the son 3 years back be x yearsTherefore, the age of the father 3 years back was x + 24 (1 Mark)

At present the age of the son is x + 3 and the father is 5 times as old as the son.i.e., x + 24 + 3 = 5(x + 3) (1 Mark)i.e., x + 27 = 5x + 15or 4x = 12 or x = 3.(1 Mark)

Therefore, the son was 3 years old 3 years back and he will be 9 years old three years from now. (1 Mark)Question :ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.Solution :

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Question :ABCD is a parallelogram. E is a point on BA such that BE = 2EA and F is a point on DC such that DF = 2FC. Prove that AECF is a parallelogram whose area is one-third the area of parallelogram ABCD.OrConstruct a triangle having its perimeter 12.5 cm and the ratio of the angles as 3 : 4 : 5.Solution :

Question :Prove that a straight line drawn from the vertex of a triangle to the base is bisected by the straight line which joins the middle points of the other sides of the triangle.Solution :