## CBSE Class 10 Maths Sample Paper & MCQs

CBSE Class 10 Sample Paper & MCQs for Term-1: CBSE has scheduled Mathematics Basic & Standard Exam for Class 10 on 04th December 2021. As now just 1 day left so you should practice with as many as Multiple Choice Questions to know what is your level of preparation for the final exam. In this article, we have provided you with 60 MCQs for Class 10 Maths for your practice, just keep solving and scroll the page to test your preparation for the Class 10 Maths Term-1 Exam with these Maths MCQ Class 10 Term-1 with Solutions.

## Maths Sample Paper for Class 10 Term-1

Mathematics Subject of Class 10 is divided into two parts- Basic Mathematics & Standard Mathematics and we have provided Class 10 MCQs for both sections in the below section. If you are going to appear in CBSE Class 10 Maths Term-1 on 04th December 2021, then you must not miss these questions as you never know which question can be asked in the final exam or questions can be of the same type as provided below.

## Maths Class 10 MCQ Term-1 with Solution

If you are looking for Class 10th Maths Sample Paper with Solution for your Term-1 Exam, then you are at the right place, as we have listed a few important MCQs for your help.

Q1. If sinƟ = x and secƟ = y , then tanƟ is

(a) xy

(b) x/y

(c) y/x

(d) 1/xy

Solution- (a)

Q2. HCF of 8, 9, 25 is

(a) 8

(b) 9

(c) 25

(d) 1

Solution- (d)

Q3. A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square like 4,9….is

(a) 1/45

(b) 2/15

(c) 4/45

(d) 1/9

Solution- (d)

Q4. If p(x) is a polynomial of degree one and p(a) = 0, then a is said to be:

(a) Zero of p(x)

(b) Value of p(x)

(c) Constant of p(x)

(d) None of the above

Solution- (a)

Q5. The HCF of two numbers is 18 and their product is 12960. Their LCM will be

(a) 420

(b) 600

(c) 720

(d) 800

Solution- (c)

Q6. The number of polynomials having zeroes as –2 and 5 is

(a) 1

(b) 2

(c) 3

(d) more than 3

Solution- (d)

Q7. The coordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) internally in the ratio 2:1 are

(a) (2,4)

(b) (4,6)

(c) (4,2)

(d) (3,5)

Solution- (d)

Q8. In an isosceles triangle ABC, if AC=BC and AB^2=2AC^2=, then the measure of angle C will be

(a) 30˚

(b) 45˚

(c) 60˚

(d) 90˚

Solution- (d)

Q9. Which constant should be added and subtracted to solve the quadratic equation 4x^2 − √3x + 5 = 0 by the method of completing the square?

(a) 9/16

(b) 3/16

(c) 3/4

(d) √3/4

Solution- (b)

Q10. A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.

(a) 3

(b) 8

(c) 4

(d) 7

Solution- (b)

Q11. In a throw of a pair of dice, the probability of the same number on each die is

(a) 1/6

(b) 1/3

(c) 1/2

(d) 5/6

Solution- (a)

Q12. The ratio of LCM and HCF of the least composite and the least prime numbers is

(a) 1:2

(b) 2:1

(c) 1:1

(d) 1:3

Solution- (b)

Q13. The value of k for which the lines 5x+7y=3 and 15x + 21y = k coincide is

(a) 9

(b) 5

(c) 7

(d) 18

Solution- (a)

Q14. In ∆ABC right angled at B, if tan A= √3, then cos A cos C- sin A sin C =?

(a) -1

(b) 0

(c) 1

(d) √3/2

Solution- (b)

Q15. If the angles of ∆ABC are in ratio 1:1:2, respectively (the largest angle being angle C), then the value of secA/cosec B – tanA/cot B is

(a) 0

(b) 1/2

(c) 1

(d) √3/2

Solution- (a)

Q16. The mid-point of (3p,4) and (-2,2q) is (2,6) . Find the value of p+q

(a) 5

(b) 6

(c) 7

(d) 8

Solution- (b)

Q17. The product of two successive integral multiples of 5 is 300. Then the numbers are:

(a) 25, 30

(b) 10, 15

(c) 30, 35

(d) 15, 20

Solution- (d)

Q18. If the discriminant of a quadratic polynomial, D > 0, then the polynomial has

(a) two real and equal roots

(b) two real and unequal roots

(c) imaginary roots

(d) no roots

Solution- (b)

Q19. If the graph of a polynomial intersects the x-axis at three points, then it contains ____ zeroes.

(a) Three

(b) Two

(c) Four

(d) More than three

Solution- (a)

Q20. The pairs of equations 9x + 3y + 12 = 0 and 18x + 6y + 26 = 0 have

(a) Unique solution

(b) Exactly two solutions

(c) Infinitely many solutions

(d) No solution

Solution- (d)

Q21.The solution of the equations x-y=2 and x+y=4 is:

(a) 3 and 1

(b) 4 and 3

(c) 5 and 1

(d) -1 and -3

Solution- (a)

Q22. Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Her speed of rowing in still water and the speed of the current is:

(a) 6km/hr and 3km/hr

(b) 7km/hr and 4km/hr

(c) 6km/hr and 4km/hr

(d) 10km/hr and 6km/hr

Solution- (c)

Q23. The pair of equations 5x – 15y = 8 and 3x – 9y = 24/5 has

(a) one solution

(b) two solutions

(c) infinitely many solutions

(d) no solution

Solution- (c)

Q24. The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father, are respectively

(a) 4 and 24

(b) 5 and 30

(c) 6 and 36

(d) 3 and 24

Solution- (c)

Q25. 30th term of the A.P: 10, 7, 4, …, is

(a) 97

(b) 77

(c) -77

(d) -87

Solution- (c)

Q26. Which term of the A.P. 3, 8, 13, 18, … is 78?

(a) 12th

(b) 13th

(c) 15th

(d) 16th

Solution- (d)

Q27. The number of multiples of 4 between 10 and 250 is:

(a) 50

(b) 40

(c) 60

(d) 30

Solution- (c)

Q28. The list of numbers –10, –6, –2, 2,… is

(a) an AP with d = –16

(b) an AP with d = 4

(c) an AP with d = –4

(d) not an AP

Solution- (b)

Q29. D and E are the midpoints of side AB and AC of a triangle ABC, respectively and BC = 6 cm. If DE || BC, then the length (in cm) of DE is:

(a) 2.5

(b) 3

(c) 5

(d) 6

Solution- (b)

Q30. If triangles ABC and DEF are similar and AB=4 cm, DE=6 cm, EF=9 cm and FD=12 cm, the perimeter of triangle is:

(a) 22 cm

(b) 20 cm

(c) 21 cm

(d) 18 cm

Solution- (d)

Q31. It is given that ΔABC ~ ΔPQR, with BC/QR = 1/4 then, ar(ΔPRQ)/ar(ABC) is equal to

(a) 16

(b) 4

(c) 1/4

(d) 1/16

Solution- (a)

Q32. In ∆ABC, AB = 6√3 cm, AC = 12 cm and BC = 6 cm. The angle B is

(a) 120°

(b) 60°

(c) 90°

(d) 45°

Solution- (c)

Q33. sin (90° – A) and cos A are:

(a) Different

(b) Same

(c) Not related

(d) None of the above

Solution- (b)

Q34. AB is a chord of the circle and AOC is its diameter such that angle ACB = 50°. If AT is the tangent to the circle at the point A, then BAT is equal to

(a) 65°

(b) 60°

(c) 50°

(d) 40°

Solution- (c)

Q35. If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm, then length of each tangent is equal to

(a) (3/2)√3 cm

(b) 6 cm

(c) 3 cm

(d) 3√3 cm

Solution- (d)

Q36. To construct a triangle similar to a given ΔPQR with its sides, 9/5 of the corresponding sides of ΔPQR draw a ray QX such that ∠QRX is an acute angle and X is on the opposite side of P with respect to QR. The minimum number of points to be located at equal distances on ray QX is:

(a) 5

(b) 9

(c) 10

(d) 14

Solution- (b)

Q37. By geometrical construction, which one of the following ratios is not possible to divide a line segment?

(a) 1 : 10

(b) √9 : √4

(c) 10 : 1

(d) 4 + √3 : 4 – √3

Solution- (d)

Q38. A line segment drawn perpendicular from the vertex of a triangle to the opposite side is known as

(a) altitude

(b) median

(c) bisector of side

(d) radius of incircle of the triangle

Solution- (a)

Q39. The midpoints of a line segment joining two points A(2, 4) and B(-2, -4)

(a) (-2,4)

(b) (2,-4)

(c) (0, 0)

(d) (-2,-4)

Solution- (c)

Q40. If the perimeter of the circle and square are equal, then the ratio of their areas will be equal to:

(a) 14:11

(b) 22:7

(c) 7:22

(c) 11:14

Solution- (a)

Q41. In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. The length of the arc is;

(a) 20cm

(b) 21cm

(c) 22cm

(d) 25cm

Solution- (c)

Q42. If we change the shape of an object from a sphere to a cylinder, then the volume of cylinder will

(a) Increase

(b) Decrease

(c) Remains unchanged

(d) Doubles

Solution- (c)

Q43. A tank is made of the shape of a cylinder with a hemispherical depression at one end. The height of the cylinder is 1.45 m and radius is 30 cm. The total surface area of the tank is:

(a) 30 m

(b) 3.3 m

(c) 30.3 m

(d) 3300 m

Solution- (b)

Q44. A hollow cube of internal edge 22 cm is filled with spherical marbles of diameter 0.5 cm and it is assumed that 1/8 space of the cube remains unfilled. Then the number of marbles that the cube can accommodate is

(a) 142296

(b) 142396

(c) 142496

(d) 142596

Solution- (a)

Q45. If the mean of first n natural numbers is 3n/5, then the value of n is:

(a) 3

(b) 4

(c) 5

(d) 6

Solution- (c)

Q46. A bag has 3 red balls and 5 green balls. If we take a ball from the bag, then what is the probability of getting red balls only?

(a) 3

(b) 8

(c) 3/8

(d) 8/3

Solution- (c)

Q47. The probability that a non leap year selected at random will contain 53 Sundays is

(a) 1/7

(b) 2/7

(c) 3/7

(d) 5/7

Solution: (a)

Q48. If AM of a, a+3, a+6, a+9 and a+12 is 10, then a is equal to;

(a) 1

(b) 2

(c) 3

(d) 4

Solution- (d)

Q49. Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. The probability of Reshma winning the match is

(a) 0.62

(b) 0.38

(c) 0.58

(d) 0.42

Solution- (b)

Q50. If the lines 3x+2ky – 2 = 0 and 2x+5y+1 = 0 are parallel, then what is the value of k?

(a) 4/15

(b) 15/4

(c) ⅘

(d) 5/4

Solution- (b)

Q51. A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. The fraction obtained is:

(a) 3/12

(b) 4/12

(c) 5/12

(d) 7/12

Solution- (c)

Q52. In the division of a line segment AB, any ray AX making angle with AB is _______.

(a) an acute angle

(b) a right angle

(c) an obtuse angle

(d) reflex angle

Solution- (a)

Q53. If the sum of frequencies is 24, then the value of x in the observation: x, 5,6,1,2, will be;

(a) 4

(b) 6

(c) 8

(d) 10

Solution- (d)

Q54. Out of the two concentric circles, the radius of the outer circle is 5 cm and the chord AC of length 8 cm is a tangent to the inner circle. The radius of the inner circle will be

(a) 3 cm

(b) 4 cm

(c) 2.5 cm

(d) 2 cm

Solution- (a)

Q55. The angles of cyclic quadrilaterals ABCD are: A = (6x+10), B=(5x)°, C = (x+y)° and D=(3y-10)°. The value of x and y is:

(a) x=20° and y = 10°

(b) x=20° and y = 30°

(c) x=44° and y=15°

(d) x=15° and y=15°

Solution- (b)

Q56. If set A = {1, 2, 3, 4, 5,…} is given, then it represents:

(a) Whole numbers

(b) Rational Numbers

(c) Natural numbers

(d) Complex numbers

Solution- (c)

Q57. A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter

(a) r cm

(b) 2r cm

(c) h cm

(d) 2h cm

Solution- (b)

Q58. Euclid’s division lemma states that for two positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy

(a) 1 < r < b

(b) 0 < r ≤ b

(c) 0 ≤ r < b

(d) 0 < r < b

Solution- (c)

Q59. If ABC and DEF are two triangles and AB/DE=BC/FD, then the two triangles are similar if

(a) ∠A=∠F

(b) ∠B=∠D

(c) ∠A=∠D

(d) ∠B=∠E

Solution- (b)

Q60. A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is

(a) 4

(b) 13

(c) 48

(d) 51

Solution- (d)

## Maths Class 10 Sample Paper for Term 1

To give students a clear vision for the Class 10 Mathematics Term-1 Exam, CBSE has uploaded sample question papers for Maths Term-1 (Basic & Standard) on its official website, which can be downloaded directly from here along with the answer key containing detailed solutions to Class 10 Maths MCQs.