NCERT Exemplar Problems Class 9 Maths – Statistics and Probability Question 1: The class mark of the class 90-120 is (a) 90 (b) 105 (c) 115 (d) 120 Solution: (b) In a given class 90-120, upper class = 120 and lower class = 90 Question 2: The range of the data 25, 18, 20, 22,…
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NCERT Exemplar Problems Class 9 Maths – Volume and Surface Area Question 1: If the radius of a sphere is 2r, then its volume will be Solution: (d) Given, radius of a sphere = 2r Volume of a sphere =4/3 π(Radius)3 = 4/3 π(2r)3 = 4/3 π 8r3 = (32 πr3)/3 cu units Hence the…
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NCERT Exemplar Problems Class 9 Maths – Heron’s Formula Question 1: An isosceles right triangle has area 8 cm2. The length of its hypotenuse is (a) √32 cm (b) √16 cm (c) √48 cm (d) √24 Solution: (a) Given, area of an isosceles right triangle = 8 cm2 Area of an isosceles triangle = ½…
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NCERT Exemplar Problems Class 9 Maths – Constructions Question 1: With the help of a ruler and a compass it is not possible to construct an angle of (a) 37.5° (b) 40° (c) 22.5° (d) 67.5° Solution: (b) With the help of a ruler and a compass, we can construct the angels, 90°, 60°, 45°,…
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NCERT Exemplar Problems Class 9 Maths – Circles Question 1: AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is (a) 17 cm (b) 15 cm (c) 4 cm (d) 8 cm Solution:…
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NCERT Exemplar Problems Class 9 Maths – Areas of Parallelograms and Triangles Question 1: The median of a triangle divides it into two (a) triangles of equal area (b) congruent triangles (c) right angled triangles (d) isosceles triangles Solution: (a) We know that, a median of a triangle is a line segment joining a vertex…
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NCERT Exemplar Problems Class 9 Maths – Quadrilaterals Question 1: Three angles of a quadrilateral are 75°, 90° and 75°, then the fourth angle is (a) 90° (b) 95° (c) 105° (d) 120° Solution: (d) Given, ∠A = 75°, ∠B = 90° and ∠C = 75° We know that, sum of all the1 angles of…
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NCERT Exemplar Problems Class 9 Maths – Triangles Question 1: Which of the following is not a criterion for congruence of triangles? (a) SAS (b) ASA (c) SSA (d) SSS Thinking Process For triangle to be congruent it is very important that the equal angles are included between the pairs of equal sides. So, SAS…
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NCERT Exemplar Problems Class 9 Maths – Lines and Angles Question 1: In figure, if AB || CD || EE, PQ || RS, ∠RQD = 25° and ∠CQP = 60°, then ∠QRS is equal to (a) 85° (b)135° (c)145° (d) 110° Solution: (c) Given, PQ || RS ∠PQC = ∠BRS = 60° [alternate exterior angles…
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NCERT Exemplar Problems Class 9 Maths – Introduction to Euclid’s Geometry Question 1: The three steps from solids to points are (a) solids-surfaces-lines-points (b) solids-lines-surfaces-points (c) lines-points-surfaces-solids (d) lines-surfaces-points-solids Solution: (a) The three steps from solids to points are solids-surfaces-lines-points. Question 2: The number of dimensions, a solid has (a) 1 (b) 2 (c) 3…
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