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CBSE Class 10 Mathematics Solved Practice Paper: Set-I

Oct 27, 2017 16:58 IST
    CBSE Class 10 Maths Practice Paper
    CBSE Class 10 Maths Practice Paper

    Here we bring you the CBSE Class 10 Mathematics Solved Practice Paper : Set-I, for the academic session 2017-2018. This practice paper has been designed to cover most of the important topics of CBSE Class 10th Mathematics.

    CBSE Class 10 Mathematics Question Paper SA – II: 2017

    With a thorough analysis of the CBSE Board’s criteria to set papers for finals, subject experts at jagranjosh has designed the CBSE Class 10 Mathematics Solved Practice Paper : Set-I that will make you familiar with important questions that will ultimately help you prepare better for the new assessment structure, i.e., periodic tests as well as the Board Exams 2017-2018.

    Some of the sample questions from CBSE Class 10 Mathematics Solved Practice Paper : Set-I are given below:

    Q. If a pair of dice is thrown, then find the probability of getting a prime number on both the dice.

    Sol.

    Total number of outcomes = 36

    Total favorable outcomes = {(2,2), (3,3), (5,5)} = 3

    ∴ Probability of getting a prime number on both the dice = 3/36 = 1/12

    Q. 17. All the three face cards of spade are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting:

    (i) a black face card.

    (ii) a queen

    (iii) a black card.

    Sol.

    There are 52 cards in a pack, out of which three cards are removed.

    Therefore, total number of possible outcomes = 52 – 3 = 49

    (i) Number of favourable outcomes = 3

    Thus, required probability, P (black face card) = 3/39= 1/13

    (ii) Number of favourable outcomes = 3

    Hence required probability = P (Queen) = 3/49

    (iii) Number of favourable outcomes (Total black cards )=26 - 3 = 23

    Hence, required probability = 23/49

    CBSE Class 10 Mathematics Syllabus 2017-2018

    Q. A cylindrical container is formed by inserting a small cylindrical vessel with diameter 16 cm and height 49 cm inside another cylindrical vessel with the same height but diameter being 19 cm. To make the container heat insulator, the space between two cylinders is filled with an insulating material. Find the volume of insulating material used.

    Sol.

    In case of outer cylindrical part, we have:

    Radius, r = 19/2 = 9.5 cm

    Height, h = 49 cm

    Therefore, volume of outer cylindrical part = pr2h = p ×9.5 ×9.5 × 49 cm3

    For the inner cylindrical part, we have:

    Radius, R = 16/2 = 8 cm

    Height, h = 49 cm

    Therefore, volume of inner cylindrical part =pR2h = p × 8×8 × 49 cm3

    Thus, volume of insulating material used = Volume of outer part − Volume of inner part

                                                                = p ×9.5 ×9.5 × 49 − p × 8×8 × 49

                                                                = 22/7 × 49(90.25 – 64)

                                                                = 154 × 26.25

                                                                =  4042.50 cm3

    Get the complete practice paper by clicking on the following link:

    CBSE Class 10 Mathematics Solved Practice Paper : Set-I

     

     

     

     

     

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