MP BOARD English Medium Mathematics – This post is important for students preparing for Class 10th Mathematics in English medium. Important questions asked in previous years’ annual examinations of Mathematics subject have been written in this post along with answers. Some or many of these questions may be asked in the upcoming annual examination. Students should continue with their preparation and also study these questions for the preparation of the upcoming annual examination.
Instructions :
(i) All questions are compulsory.
(ii) Questions number 1 to 5 are objective type questions.
(iii) Internal choices are given in question numbers 6 to 23.
(iv) Draw neat and clean labelled diagram wherever required.
Q.1 Choose the correct option and write it :
(i) The sum of a rational number and an irrational number is :
(a) a rational number (b) an irrational number
(c) a natural number (d) an integer
(ii) Which of the following will be a quadratic polynomial :
(a) x2+7x+10 (b) 2x+3
(c) x3+x2+5x+7 (d) x/2+3
(iii) Distance of point P ( x, y ) from the origin is :
(a) x2
(b) y2
(c) (x2+y2)1/2
(d) x+y
(iv) Common difference in the A.P. 4, 10, 16, 22, … is :
(a) 4 (b) 22
(c) 6 (d) -6
(v) The sum of zeroes in the quadratic polynomial 3x2+6x-9 will be :
(a) 2 (b) -2
(c) 3 (d) -3
(vi) The pair of linear equations a1x+b1y+c1 = 0 and a2x b2y+c2 = 0 will have a unique solution, if :
(a) a1/a2 =/ b1/b2
(b) a1/a2 = b1/b2 = c1/c2
(c) a1/a2 = b1/b2
(d) a1/a2 = b1/b2 =/ c1/c2
Q.2 Fill in the blanks :
(i) Two triangles having the same shape but not necessarily the same size are called ..……………
(ii) The line drawn from the eye of an observer to the point in the object viewed by the observer is called ….……………..
(iii) (x2-2) is a ……………….. Polynomial.
(iv) Highest power of variable in the quadratic equation is ………………..
(v) The part of the circular region enclosed by two radii and the corresponding arc is called ………………. of the circle.
(vi) In case of the angle of elevation, the point being viewed is ………………. the horizontal level.
Q.3 Write True/False in the following :
(i) All Congruent figures are similar.
(ii) The distance of point (x, y) from x-axis will be zero.
(iii) In a circle, sector and segment are equal.
(iv) The tangent at any point of a circle is parallel to the radius through the point of contact.
(v) The tangents drawn at the ends of a diameter of a circle are parallel.
(vi) The empirical relationship between the three measures of central tendency is “3 median = mode + 2 mean”.
Q.4 Match the columns :
(i) The probability of an event that cannot happen (a) 2
(ii) The value of tan 60° (b) 1
(iii) The value of sec 60° (c) 22/7*rl
(iv) sin2@ + cos2@ (d) 2*22/7 rh
(v) Curved surface area of the cylinder (e) 31/2
(vi) Curved surface area of the cone (f) 0
Q.5 Answer in one sentence/word :
(i) Write the formula for the area of the segment of a circle with radius R and angle P°.
(ii) Write the quadratic formula for a quadratic equation ax2+bx+c=0, a/=0
(iii) Write the number of possible outcomes when a coin tossed once.
(iv) Write the coordinates of the origin.
(v) Write the definition of the secant of a circle.
(vi) Write one example of pair of similar figures.
Q.6 Find the LCM of the numbers 12, 15 and 21 by the prime factorization method. 2
or
Express 140 as a product of its prime factors.
Q.7 Find the sum of first 10 terms of an A.P. : 2, 7, 12, … 2
or
Find the number of terms in the A.P. : 7, 13, 19, …, 205.
Q.8 Find the zeroes of the quadratic polynomial x2+7x+10.
or
Find a quadratic polynomial the sum and product of whose zeroes are 5 and 7 respectively.
Q.9 An arc of a circle of radius 21 cm subtends an angle of 60° at the centre. Find the length of the arc. 2
or
A chord of a circle of radius 10 cm subtends right angle at the centre. Find the area of corresponding sector.
Q.10 Solve the pair of linear equations x+y=14 एवं x-y=4
or
On Comparing the ratios a1/a2,b1/b2 and c1/c2 , find out whether the pair of linear equations 3x+2y=5 and 2x-3y=7 are consist or Inconsistent.
Q.11 Write next two terms of A.P. : 4, 9, 14, 19,… 2
or
Write the first term and common difference of the A.P. 3, 15, 27, 39,….
Q.12 Write the conditions for the similarity of two triangles. 2
or
Write the statement of Basic Proportionality Theorem.
Q.13 Find the distance between points (2,-5) and (-2, 9). 2
or
Find the coordinates of the point which divides the line segment joining the points (-1, 7) and (4.-3) in the ratio 2:3.
Q.14 If sinA=3/5 , then find the value of cos A and tan A . 2
or
Find the value of 2tan 30°/1+tan2 60°
Q.15 The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.
or
Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.
Q.16 If P(E) = 0.05, what is the probability of ‘not E’?
or
Find the Probability of getting a head, when a coin is tossed once.
Q.17 A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a king.
or
A bag contains 3 red, 2 white and 5 black balls. A ball is drawn at random from this bag. Find the probability that it is red.
Q.18 Find the nature of the roots of quadratic equation 2x2-6x+3=0.
or
Find the roots of the quadratic equation 2x2+x-6= 0.
Q.19 A tower stands vertically on the ground. From a point on the ground, which is 15m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower.
or
The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower, is 30०. Find the height of the tower.
Q.20 Prove that 3 +2*51/2 is an irrational number.
or
Given HCF (306, 657) = 9. Find the LCM (306, 657).
Q.21 Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu.
or
The difference between two numbers is 26 and one number is three times the other. Find
the numbers.
Q.22 A vessel is in the shape of a hollow hemisphere on which a hollow cylinder is mounted. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the internal surface area of the vessel.
or
Two Cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.
Q.23 The following table gives the literacy rate (in percentage) of 35 cities.
| Literacy Rate(in %) | 45-55 | 55-65 | 65-75 | 75-85 | 85-95 |
| Number of Cities | 3 | 10 | 11 | 8 | 3 |
Find the mean literacy rate.
or
A survey conducted by a group of students on 20 families in a locality resulted in the
following data regarding the number of members in different families:
| Family Size | 1-3 | 3-5 | 5-7 | 7-9 | 9-11 |
| Number of families | 7 | 8 | 2 | 2 | 1 |
Find the mode of this data.
Blue Print / Marking scheme Class 10th Mathematics Mp Board english Medium
