# CBSE Term 1 Class 10 Maths (Standard), Board Exam 2021-22: Question Paper and Answer Key

CBSE 2021-22, Class 10 Maths (Standard) board today's exam question paper. Check the answers key of the class 10 Maths (Term 1) paper.

## Class 10th CBSE Term 1, Maths (Standard) Board Exam Question Paper and Answers Key 2021-22 Table

• SUBJECT- English Core
• Term- I
• Time allowed- 90 minutes
• Maximum Marks- 40

a) 3

b) 4

c) 5

d) 6

a) 1

b) 2

c) 3

d) 5

a) -1, 2

b) -1, 4

c) 1, -2

d) -1, 4

a) 2

b) -3

c) -√3

d) -√2

a) 4 : 25

b) 2 : 3

c) 9 : 4

d) 25 : 4

a) 1

b) 40/9

c) 38/9

d) 5 ⅓

a) 2464 m square

b) 1232 m square

c) 616 m square

d) 308 m square

a) -2

b) 2

c) 1

d) -1

a) 17 m/min

b) 19 m/min

c) 23 m/min

d) 13 m/min

a) 1

b) 2

c) 3

d) 4

a) 9x + 8y = 7

b) -12x– 8y = 7

c) -12x + 8y = 7

d) 12x + 8y = 7

a) 8

b) 9

c) 7

d) 6

## Q13. In △ABC and ADEF, ∠F = ∠C, ∠B = ∠E and AB = ½ DE. Then, the two triangles are

a) Congruent, but not similar

b) Similar, but not congruent

c) Neither congruent nor similar

d) Congruent as well as similar

a) 7/25

b) 24/25

c) 7/24

a) 44 cm

b) 88 cm

c) 132 cm

d) 176 cm

a) 9/13

b) 35/53

c) 10/13

d) 19/26

a) 4:00 pm

b) 4:30 pm

c) 05:00 pm

d) 5:30 pm

a) k [x²- 8x +5]

b) k [x²+ 8x +5]

c) k [x²- 5x +8]

d) k [x²+ 5x +8]

a) 1, -7

b) -1, 7

c) 2, 7

d) -2, 7

a) 2√2

b) √2

c) 3√2

d) 2

a) 575

b) 450

c) 750

d) 625

(a) 0.01

(b) 3%

c) 16/17

d) 17/16

a) 10 power 4

b) 10 power 5

c) 10 power 6

d) 10 power 3

a) 1

b) ½

c) √2/2

d) √2

a) 3:2

(b) 2:3

c) 3:4

d) 4:3

a) a = 5, b = –1

b) a = 9, b = –5

c) a = 7, b = –3

(d) a = 3, b = 1

a) Coprime

b) Not coprime

c) Even

d) Odd

a) 321 cm2

b) 642 cm2

c) 128 cm2

d) 256 cm2

## Q29. If A (4, –2), B(7, – 2) and C(7, 9) are the vertices of a △ABC, then △ABC is

a) equilateral triangle

b) isosceles triangle

c) right angled triangle

d) isosceles right angled triangle

a) –7

b) 7

c) –3

d) 3

a) 1

b) 4

c) 3

d) 2

a) 3 : 1

b) 3 : 4

c) 3 : 2

d) 3 : 5

a) a2 – b2

b) b2 – a2

c) a2 + b2

d) b – a

a) 22 : 7

b) 11 : 7

c) 7 : 11

d) 7 : 22

(a) 11

(c) 13

(b) 1

(d) 25

a) 300

b) 400

c) 500

d) 600

a) 56/7 cm

b) 7/56 cm

c) 25/7 cm

a) 107°

b) 135°

c) 155°

d) 145°

(a) p2 + 1/2p

b) p2-1/2p

c) p2-1/p2+1

d) p2 + 1/p2 – 1

## Q40. The base BC of an equilateral △ABC lies on the y-axis. The co-ordinates of C are (0, –3). If the origin is the mid-point of the base BC, what are the co- ordinates of A and B?

a) A ( 3, 0), B(0, 3)

b) A (±3 3, 0), B(3, 0)

c) A (±3 3, 0), B(0, 3)

d) A (– 3, 0), B(3, 0)

## SECTION – C

Q.No. 41-45 are based on Case Study–I, you have to answer any (4) four questions. Q. No. 46-50 are based on Case Study-II, you have to answer any (4) four questions.

## Case Study-I

A book store shopkeeper gives books on rent for reading. He has variety of books in his store related to fiction, stories and quizzes etc. He takes a fixed charge for the first two days and an additional charge for subsequent day. Amruta paid ` 22 for a book and kept for 6 days; while Radhika paid ` 16 for keeping the book for 4 days.

Assume that the fixed charge be ` x and additional charge (per day) be ` y.
Based on the above information, answer any four of the following questions :

a) x – 4y = 16

b) x + 4y = 16

c) x – 2y = 16

d) x + 2y = 16

a) x – 2y = 11

b) x – 2y = 22

c) x + 4y = 22

d) x – 4y = 11

a) Rs9

b) Rs10

c) Rs13

d) Rs15

a) Rs6

b) Rs5

c) Rs4

d) Rs3

a) Rs35

b) Rs52

c) Rs50

d) Rs58

## Case Study – II

A farmer has a field in the shape of trapezium, whose map with scale 1 cm = 20 m, is given below :
The field is divided into four parts by joining the opposite vertices.
Based on the above information, answer any four of the following questions :

## Q46. The two triangular regions AOB and COD are

a) Similar by AA criterion

b) Similar by SAS criterion

c) Similar by RHS criterion

d) Not similar

a) 4 : 1

b) 1 : 4

c) 1 : 2

d) 2 : 1

a) AB = 2 CD

b) AB = 4 CD

c) CD = 2 AB

d) CD = 4 AB

a) △AOD ~ △BOC

b) △AOD ~ △BCO

d) △ODA ~ △OBC

## Q50. If the ratio of areas of two similar triangles AOB and COD is 1 : 4, then which of the following statements is true?

a) The ratio of their perimeters is 3 :4.

b) The corresponding altitudes have a ratio 1 : 2.

c) The medians have a ratio 1 : 4.

d) The angle bisectors have a ratio 1 : 16.