SSLC / Tenth / 10th Std www.mpbse.nic.in : Madhya Pradesh Maths Model Question Paper

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Document Described : Maths Question Paper, Madhya Pradesh Question Paper

MATHEMATICS
Time : 3 hours Maximum marks: 100

Instructions : -
(i) All questions are compulsory.
(ii) Read the instructions of question paper carefully and write their answers.

http://mpbse.nic.in/Model%20Que-Ans%20paper.htm
http://mpbse.nic.in/10th/MATHEMATICS...Answer%201.pdf

(iii) There are two sections – Section ‘A’ and ‘B’ in the question paper.
(iv)Question No.1 is objective type questions in Section ‘A’. Do as directed.
(v) Internal options are given in Que. Nos.2 to 17 in section B.
(vi) Draw neat and clean diagrams wherever required.
(vii) Marks allotted to each question are mentioned against the question.

(Objective Type Questions)
1(A) Choose the correct option and write in your Answer Book. (1×5 = 5)
(i) a1x+b1y+c1=0 a2x+b2y+c2=0

Fill up the blanks :
(ii) Compound interest is ................ then simple interest.
(iii) In a right triangle, the hypotenuse is the ........... side.
(iv) The longest chord of the circle is called ................
(v) The median of the nariate 2,4,5,8,10 is ...................

Make correct pair for Column A choosing from Column B :
Column ‘A’ Column ‘B’
(i) sin(90-?) (1) Sec2?
(ii) 1+tan2? (2) Cos2?
(iii) Cos45º (3) 1
(iv) Sin60º+Cos60º (4)
(v) Sin2?+Cos2? (5)
(6) cot?
(7) cosec?

Write true of false :
(i) The probability of on event may be greater then 1.
(ii) The sum of opposite angles of a cyclic quadrilateral is 180º.
(iii) Maximum number tangents that can be drawn from on external point are 4.
(iv) An angle in a semi circle is right angle.
(v) The shadow of a tower is 3 15 m. If the height of the tower is 15m. Then the sum's angle of elevation is 30º.

1(E) Choose the correct option and write in your Answer Book. (1×5 = 5)
Answer the following questions in one word or in one sentence-
(i) What we say the sum of compound interest and principal?
(ii) The rate of Depreciation is either positive or negative?
(iii) If all the three angles of a triangle are equal to there correspond
angles of other triangle then triangles are called what?
(iv) Write the volume of semi sphere?
(V) Write the curved surface of cylinder?

Section (B) :
(Very short answer type Questions)
x+2y=-1 .........................(i)
2x-3y=12 .......................(ii)
Solve the following system of equation by elimination method.
2x+2y=-1 .........................(i)
2x-3y=12 .........................(ii)
2x-y=3 .........................(i)
4x-y=5 .........................(ii)
Solve the following system of equation by substitution method.
2x-y=3 .........................(i)
4x-y=5 .........................(ii)
The sum of two numbers is 7. If the sum of these numbers is seven
times greater than its difference. Then find out of the numbers.
For what value of "a" 2x+10y=14 and 4x+20y+a=0 will represent coincident line.
What should be subtracted from each of 11,20,26 and 50 as to make them proportional.
Solve the quadratic equation x2-4x+3=0 by factor method.
The length, breadth and height of a cuboids is 12cm, 11cm. and 10cm. Then find its surface area.
If ‘V’ is a volume of Cuboids’ whose length is ‘a’, breadth is ‘b’ and height is ‘c’ and ‘S’ is its surface area then proves that.
The radii of the ends of a bucket are 28cm. and 7cm. respectively. If the height of the bucket is 45cm, then find the volume of the bucket.
External and eternal radii of a spherical shell are 4cm. and 2cm respectively, find the volume of metal used in spherical shell.
In a single throw of die, find the probability of getting an odd number.
In a single throw of coin, find the probability of getting a head and a tail at a time.