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

Name of the Board : Madhya Pradesh Board of Secondary Education
Subject : Class X Mathematics
Website : mpbse.nic.in
Document Type : Model Question Paper

Downloads :
Set- 1 : https://www.pdfquestion.in/uploads/134-SET1.PDF
Set- 2 : https://www.pdfquestion.in/uploads/134-SET2.PDF
Set- 3 : https://www.pdfquestion.in/uploads/134-SET3.PDF
Set- 4 : https://www.pdfquestion.in/uploads/134-SET4.PDF

Class X Mathematics Model Question Paper

Time– 3 Hours
Maximum Mark – 100

Related : Madhya Pradesh Board of Secondary Education Class X Science Model Questions : www.pdfquestion.in/149.html

Instructions

1. All questions are compulsory.
2. Read the instructions of questions carefully and write their answers.
3. Objective type questions are given in Q. No. s. 1 to 5 do as directed.
4. Internal options are given in Q. Nos. 6 to 24.
5. Draw neat and clean diagrams, Wherever necessory.
6. Marks allotted to each questions are Mentioned against the question.

Set – I

Note :
1. All questions are compulsory to solve.
2. Read the given instruction of Question carefully and write Correct answer of them.
3. Alloted marks are Indicated infront of each question.
4. Draw the neat and clean labelled diagram if necessary.

Questions :1
Write only pythagorus theorem formula and show by figure :
(or)
A man goes to 15 meter in East direction and there after goes to 8 meter in north find the distance from intial point:

Questions :2
In right angle triangle hypoteneous is 5 cm and ratio of other two side 1 : 2 find the value of side :
(or)
Write any two necessary conditions for similarity of two triangle :

Questions :3
Two isosceles triangle have equal vertical angles and their areas in the ratio 9 : 16 Find the ratio of their corresponding height :
(or)
Show that the two similar triangle by figure only :

Questions :4
Find the Probability of getting an odd numbers in a single throw of dice of six fcaces :
(or)
What will be the probability of getting number 1 or 3 in a single throw of a dice of six faces:

Questions :5
What is the probability of head and tail at a time in a single throw of Coin :
(or)
Two coines are thrown simultaneuously then the probability of getting a head onboth coin

Questions :6
Five year’s ago, age of Atindra was thrice the age of Gyana. After 10 years Atindra’s age will be twice the age of Gyana. find the present age of Atindra and Gyana ?
OR
A person observed from the top of electric pole the angle of depression of the point is 60º. if the distance between the foot of the electric pole and point is 25 meter. Find the height of the pole?

Questions :7
Find the length of arc, if the angle Subtended at the centre is 150º and radius of circle is 21 cm.
OR
Three cube of metal with edges 3 cm, 4 cm, and 5 cm. respectively are melted to form a new cube. what will be the edge of new cube ?

Questions :8
Find the ratio between the volume of cylindar and cone which have same radius and height ?
OR
The largest sphere is cut out from a cube of side 7 cm. find the volume of sphere ?

Questions :9

The sum of number and its reciprocal is 50/7 find the number ?
OR
If 1 is a root of the quadratic equstion 2×2 + px + 4 = 0 then find the other root and also find the value of p ?

Questions :10
Find the compound interest and amount on Rs. 2000 at the rate of 4% per annum for 2 years ?
OR
A swing machine is sold in ` 1600 cash or for ` 1200 cash down payment together after six Months ` 460 find the rate of interest charged under the instatment plane ?

Set – II

1. In the equation x + 2y = 5, If value of x = –1 then value of y will be :
(a) 4
(b) 2
(c) 3
(d) – 2

2. The Power of denominator of the rational experssion 7 2 3 6 2 4 is.
(a) 2
(b) 7
(c) 3
(d) 4

3. The Mean proportion of 36 and 49 is-
(a) 40
(b) 36
(c) 49
(d) 42

Choose the Correct option.
The roots are real and equal of quadratic equation ax2 + bx + c = 0 if :
(a) b2 – 4ac = 0
(b) 3
(c) b2 – 4ac < 0
(d) None of These

Direct tax is :
(a) Income tex
(b) Property tax
(c) Professional Tax
(d) All of above

Current rate of equation surchare is :
(a) 10%
(b) 20%
(c) 8%
(d) 3%

In the given figure, the value of angle xº is :
(a) 100º
(b) 130º
(c) 80º
(d) 110º

If the length of the shadow of a tree is equal to its height the angle of elevation will be:
(a) 30º
(b) 60º
(c) 90º
(d) 45º

Fill up The blanks :
(i) Decrease in the value of the article with time is called ……………
(ii) If the Corresponding angles of two triangles are equal then the triangles are ……….
(iii) The perpendicular from the centre of a circle to a chord ……… the chord.
(iv) Formulae for the volume of cone is …………
(v) The average value of data is called ……….

Write true/false :
1. The probability of definite incident is 1
2- Angles in the same segment of a Circle are not equal.
3. The all faces of cuboid are square.
4. The length of two tangents drawn from an external point to a circle are equal.
5. The ratio of the areas of similar triangle is equal to the ratio of the squares of the corresponding sides.

Match the Following pairs :
‘A’ ‘B’
(A) sin230º + cos230º (1) cosec2q
(B) 1 + tan2q (ii) sin q
(C) cos2q. secq (iii) cot q
(D) tan (90º – q) (iv) sec2q
(E) 1 + cot2q (v) cosq
(vi) 1