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Sample Paper Probability 1.    Cards each marked with one of the numbers 6, 7, 8, ....., 15 and placed in a box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting a card with number less than 10? 2.    A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a black king? 3.    What is the probability that two different friends have different birthdays? (Ignoring leap year). 4.    A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will not be a white marble? 5.    From a well-shuffled pack of cards, a card is drawn at random. Find the probability of getting a black queen. 6.    A bag contains 4 red and 6 black balls. A ball is taken out of the bag at random. Find the probability of getting a black ball....
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Sample Paper Triangles 1.   In ΔLMN, ∟L = 50°and ∟N= 60°. If ΔLMN is similar to ΔPQR, then find ∟Q. (AI CBSE 2009) 2.   If areas of two similar triangles are in the ratio 25:64, write the ratio of their corresponding sides. (AI CBSE 2009) 3.   D, E and F are mid points of sides BC, AC and AB respectively of triangle ABC. Find ar(ΔDEF)/ar(ΔABC). ( AI CBSE 2008) 4.   If one diagonal of a trapezium divides the other diagonal in the ratio 1:2. Prove that one of the parallel sides is double the other. (CBSE 2010) 5.   ABC is a right triangle, right angled at A, and D is the mid-point of AB. Prove that BC 2  = CD 2  + 3BD 2 . (AI CBSE 2009 C) 6.   If the diagonals of a quadrilateral divide each other proportionally, prove that it is a trapezium. (CBSE 2008) 7.   Triangle ABC is right angled at B and D is the mid-point of BC. Prove that:- AC 2  = 4AD 2  . 3AB 2 .(AI CBSE ...
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14

Q 1. Construct a cumulative frequency distribution table of the following distribution: C.I. 12.5-17.5 17.5-22.5 22.5-27.5 27.5-32.5 32.5-37.5 F 2 22 19 14 13   C.I. 12.5-17.5 17.5-22.5 22.5-27.5 27.5-32.5 32.5-37.5 F 2 22 19 14 13 Solution C.I. F C.F. 12.5-17.5 2 2 17.5-22.5 22 24 22.5-27.5 19 43 27.5-32.5 14 57 32.5-37.5 13 70 Q 2. Find the mode of the following data. X 10 12 14 16 18 20 f 5 3 10 3 2 1 Solution We observe that the value 14 has the maximum frequency i.e. 10. Hence, the modal value is 14. Q 3. Write the frequency distribution table for the following data: Marks Above 0 above 10 above 20               Above 30 Above 40 Above 50 No. of students 30 28 21 15 10 0 Solution The frequency distribution table is as follows: Marks No. of students 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 2 7 6 5 10 Total 30 Q 4. Convert the given frequency distribution to a more than type cumulative frequency distribution. ...
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