Sample paper 1 of Class X of Mathematics -standard
Unsolved Mathematics (Standard)
Question Paper for CBSE class X Examination...
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MCQs type Questions
Section-A(1 marks)
Direction(Q no. 1-16) Section I has 16 questions of 1 mark each.Internal choices is provided in 5questions .
1. Write the surface area of the following figure 1.1
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| Figure 1.1 |
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2.Find the maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that it student gets the same number of pens and same number of pencils.
3.From the coordinates of the triangle formed by the line 4x -5 y - 20 =0, 3x+ 5 y - 15 =0 and y-axis ,find the area of triangle.
4.A card is randomly drawn from a deck of 52 cards. find the probability that this card bears and event number in black.
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What is the probability of getting same number 2 on tossing of two dice?
5.if 10 alpha equals to 1 and said beta equals to root 2 then find alpha+ beeta
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Or
Find the value of
(cos^2 thita+1/1+cot^2thita)
6.PQ is a tangent to a circle with centre O at point A. if angle OBA equals to 40 degree and Angle BOA is equals to 105 degree then find angle BAP.
7. Find the algebraic sum of deviation of a set of values from their arithmetic mean.
8.If the pair of linear equation x + 2 y = 5 and 7 x + 3 y =13 has unique solution then find the values of x and y.
9.Find the values of k for which the roots of the equation kx (3x -4)+ 4 are equal.
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what is the positive value of k for which the equations x^2 + kx + 144 =0 and x^2 - 12 x + k will have real roots?
10.In the given figure 1.2, if AP=AQ and PB= QC thenprove that AB = AC.
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| Fig-1.2 |
11.In the figure 1.3, angle ABC = 90 degree and , BD perpendicular AC. if BD= 12 cm and AD=6cm then find CD.
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| Fig-1.3 |
12.find the value of k for which the following system of equation x + y - 4 =0 and 2 x + ky- 3=0 has no solution.
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Find two consecutive positive integers ,sum of whose square is 365.
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13.The sum of three numbers in AP is 27 and their product is 405 find the common difference.
14.Three cubes each of side 5 cm are joined end to end find the surface area of the resulting solid.
15. If the mode of the data is 65 mean is 41 then find the median.
16.If a number x is chosen at random from the numbers - 3 ,- 1, 0 ,1, 2 ,3 .Then find the probability that satisfy x^2 greater than equal to 4.
Section -B (5 mark each)
1. Find the solution of equation
x-4/x-5+x-6/x-7=10/23,x is not equals to 5,7.
2.PQ is a chord of length 8cm of a circle of radius 5cm.The tangents at P and Q intersect at a point T .Find the length TP.
See in fig: 1.4
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| Fig: 1.4 |
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The radii of two concentric circles are 13 cm and 8 cm AB is diameter of the bigger circle .BD is a tangent to the smaller circle touching it at D.Then find the length of AD.
16.Calculate the area of the designed the region in figure 1.5, common between the two quadrants of circles of radii 8 cm each.
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| FIG :. 1.5 You are watching this sample paper on Educbse (The platform of learning) |
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