Class 10 Cbse Maths Sample Paper Term 2 Model 1
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This document is a sample test paper for mathematics for Class 10. It consists of 33 total questions divided into 4 sections - Section A has 8 one-mark questions, Section B has 9 two-mark questions, Section C has 10 three-mark questions, and Section D has 6 four-mark questions. The test covers a range of mathematics topics including trigonometry, geometry, probability, and series. Students have 3 hours to complete the paper.
Class 10 Cbse Maths Sample Paper Term 2 Model 1
- 1. w w w .edurite.com MATHEMATICS SAMPLE TEST PAPER (SEMSTER II) CLASS X Class:10 Max Mks:80 Time 3hrs No of pages: 3 General Instructions: Ò All questions are compulsory. Ò The question paper consists of 33questions divided into four sections - A, B, C and D. Ò Section - A contains 8 questions of 1 mark each, Ò Section B is of 9 questions of 2 marks each, Section C is of 10 questions of 3 marks each and Ò section D is of 6 questions of 4 marks each. Ò The drawing should be maintained as per the given measurements. SECTION A 1. If the circumference of the circle is equal to the perimeter of a square then their ratio of their area is i)22:7 ii)14:11 iii)7:11 iv)7:22 2. A number x is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3 the probability that |x|<1 is (i) 4/7 (ii) 2/7 (iii) 3/7 (iv) 1/7 3. If the radius of the circle is diminished by 30% then the area will be diminished by (i) 10% (ii) 19% (iii) 20 % (iv) 36 %. 4. sin 2A = 2sin A is true wen A = (i) 00 (ii) 300 (iii) 450 (iv) 600 5. sin2 A +cos2 A is (i) 0 (ii) 3 (iii) 1 (iv) 6 6. For a given data with 90 observation, the less than ogive ' and more than ogive intersect at (137,45) the median of the data is (i) 90 (ii) 22.5 (iii) 137 (iv) 45 7. The length of tangent drawn from a point P to a circle of radius 3cm is 4cm .The distance of point P from the center of the circle is i)7 cm (ii) 25 cm (iii) 5cm (iv) 7 cm 8. A card is drawn from a pack of 52 cards. The event E is the card drawn is not an ace of heart. The number of outcomes favorable to E is: i)13 (ii) 51 (iii) 3 (iv) 49 SECTION B 9. First term of AP is 3, difference is 5 find the series of the term 10. find d when a = 3, a 20 =60 11. A chord of circle of radius 16 cm subtends an angle of 600 at the center. Find the areas of the corresponding minor and major segments of the circle. 12. A cubical block of side 8cm is surmounted by a hemisphere. What is the greatest diameter the
- 2. w w w .edurite.com hemisphere can have ? Find the surface area of solid? 13. Find the volume of the cone whose radius is 6 cm and base of 15cm 14. A copper rod of diameter 2 cm and length 8 cm is drawn onto wire of length 20m of uniform thickness. Find the thickness of the wire. 15. Evaluate sin theta =cos theta for all values of theta 16. when a die is thrown five times what is the probability of getting a number greater than 3 17. If x = a sin theta, y = b tan theta, then prove that a2 x2 - b2 y2 SECTION C 18. How many terms are there in A.P 4,-1,-6,.................-106 19. find the sum of first 25 terms of the series 3+7+11+15+........ 20. Two tangents TP and TQ are drawn to a circle with center O from point T. prove that angle PTQ = 2OPQ. 21. Construct a triangle with sides 6cm, 5cm, and 8cm, and then another triangle whose sides are 5 7 of the corresponding sides of the first triangle. 22. The radii of two circle are 8cm and 6cm respectively . Find the radius of the circle having area equal to the sum of the areas of the two circles. 23. Find the area of the shaded design, where ABCD is square of side 16 cm. 24. Two concentric circles are of radii 6 cm and 2cm. Find the length of the chord of the larger circle which touches the smaller circle 25. For the following distribution of daily wages of 100 workers , find the mean of daily wages 26. A bag contains 11 white balls and some red balls. If the probability of drawing red ball is double that of white ball , find the number of red balls. 27. Draw a pair of tangents to a circle of radius 6 cm which are inclined to each other at an angle of
- 3. w w w .edurite.com 800 SECTION D 28. From the top of a building AB, 60 m high, the angles of depression of the top & bottom of a vertical lamp post CD are observed to be 300 & 600 respectively. Find a)The horizontal distance b/w AB & CD. b) The height of the lamp post. 29. Construct a n isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are 1 5 2 times the corresponding sides of the triangle ABC. 30. Prove that 1+ secA secA = sin2A (1− cosA) 31. In given figure, PQRS is diameter of a circle of radius 6cm. The lengths PQ,QR and RS are equal. Semicircles are drawn on PQ and QS as diameters. Find the area of the shaded region and also find its perimeter. 32. Draw a pair of tangents to circle of radius 5 cm which are inclined to each other at an angle of 600 . Write also steps of construction. 33. Draw a more than ogive for the following distribution and hence find its median.