# in the month of april to june 2022, the exports of passenger cars from india increased by 26% in the corresponding quarter of 2021–22, as per a report. a car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. assuming that the production increases uniformly by a fixed number every year.

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get in the month of april to june 2022, the exports of passenger cars from india increased by 26% in the corresponding quarter of 2021–22, as per a report. a car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. assuming that the production increases uniformly by a fixed number every year. from screen.

## CBSE Class 10 Maths Sample Paper 2023

CBSE Class 10 Maths Sample Question Paper 2023 is now available on cbseacademic.nic.in. Check CBSE Class 10 Maths Sample Question Paper 2023 with answers.

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## Class 10 Maths Sample Paper 2023

CBSE Class 10 Maths Sample Question Paper 2023 is now available on cbseacademic.nic.in .The Central Board of Secondary education has released CBSE Class 10 Sample Question Paper 2023 for all subjects. The CBSE will conduct the Class 10 board exams for the academic year 2022-23 from February 15 onwards. Along with CBSE Class 10 Mathematics Sample Question Paper 2023, CBSE also releases the Marking Scheme of CBSE Class 10 Mathematics Sample Question Paper 2023. So that students can get a clear idea of the board exam format, question kinds, answer options, and other features with the help of CBSE Class 10 Mathematics Sample Question Paper 2023. Here we provide CBSE Class 10 Mathematics Sample Question Paper 2023 in pdf format, Candidates of class 10 can download CBSE Class 10 Mathematics Sample Question Paper 2023 and boost their preparation for the upcoming CBSE Class 10 Board Exam 2023.

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## Maths Class 10 Sample Paper 2023 for Half Yearly/ Mid Term Exams

Maths Class 10 Sample Paper 2023 for Half Yearly/ Mid Term Exams Maths Class 10 Sample Paper 2023

•Time Allowed: 3

•Hours Maximum Marks: 80

**General Instructions:**

1. This Question Paper has 5 Sections A, B, C, D, and E.

2. Section A has 20 Multiple Choice Questions (MCQs) carrying 1 mark each.

3. Section B has 5 Short Answer-I (SA-I) type questions carrying 2 marks each.

4. Section C has 6 Short Answer-II (SA-II) type questions carrying 3 marks each.

5. Section D has 4 Long Answer (LA) type questions carrying 5 marks each.

6. Section E has 3 Case Based integrated units of assessment (4 marks each) with sub-parts of the values of 1, 1 and 2 marks each respectively.

7. All Questions are compulsory. However, an internal choice in 2 Qs of 2 marks, 2 Qs of 3 marks and 2 Questions of 5 marks has been provided. An internal choice has been provided in the 2 marks questions of Section E.

8. Draw neat figures wherever required. Take π =22/7 wherever required if not stated.

## CBSE Class 10 Mathematics Sample Paper 2023: Section A

S**ection A**

**Section A consists of 20 questions of 1 mark each**

Q.1.If two positive integers p and q can be expressed as p = ab² and q = a³b; a, b being primenumbers, then LCM (p, q) is

(a) ab (b) a²b²

(c) a³b² (d) a³b³

Q.2.What is the greatest possible speed at which a man can walk 52 km and 91 km in an exact

number of hours?

(a) 17 km/hours (b) 7 km/hours

(c) 13 km/hours (d) 26 km/hours

Q.3.If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is

(a) 10 (b) -10 (c) 5 (d) –5

Q.4.Graphically, the pair of equations given by

6x – 3y + 10 = 0 2x – y + 9 = 0

represents two lines which are

(a) intersecting at exactly one point. (b) parallel.

(c) coincident. (d) intersecting at exactly two points

Q.5. If the quadratic equation x2 + 4x + k = 0 has real and equal roots, then

(a) k < 4 (b) k > 4 (c) k = 4 (d) k ≥ 4

Q.6. The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is

(a) 5 units (b) 12 units (c) 11 units (d) (7 + √5) units

Q.7.If in triangles ABC and DEF,

AB/DE = BC/FD, then they will be similar, when

(a) ∠B = ∠E (b) ∠A = ∠D (c) ∠B = ∠D (d) ∠A = ∠F

Q.8. In which ratio the y-axis divides the line segment joining the points (5, – 6) and (–1, – 4)?.

(a) 1 : 5 (b) 5 : 1 (c) 1 : 1 (d) 1 : 2

Q.9. In the figure, if PA and PB are tangents to the circle with centre O such that ∠APB = 50°, then ∠OAB is

equal to

(a) 25° (b) 30° (c) 40° (d) 50°

Q.10. If sin A =½, then the value of sec A is :

(a) √3/2 (b) 1√3 (c) √3 (d) 1

Q.11. √3 cos2A + √3 sin2A is equal to

(a) 1 (b) 1√3 (c) √3 (d) 0

Q.12. The value of cos1° cos2° cos3° cos4°…………..…..cos90° is

(a) 1 (b) 0 (c) – 1 (d) 2

Q.13. If the perimeter of a circle is equal to that of a square, then the ratio of their areas is

(a) 22 : 7 (b) 14 : 11 (c) 7 : 22 (d) 11: 14

Q.14. If the radii of two circles are in the ratio of 4 : 3, then their areas are in the ratio of :

(a) 4 : 3 (b) 8 : 3 (c) 16 : 9 (d) 9 : 16

Q.15. The total surface area of a solid hemisphere of radius 7 cm is :

(a) 447π cm² (b) 239π cm²

(c) 174π cm² (d) 147π cm²

Q.16.For the following distribution :

Class 0 – 5 5 – 10 10 – 15 15 – 20 20 – 25

Frequency 10 15 12 20 9

the upper limit of the modal class is

(a) 10 (b) 15 (c) 20 (d) 25

Q.17.If the mean of the following distribution is 2.6, then the value of y is

Variable (x) 1 2 3 4 5

Frequency 4 5 y 1 2

(a) 3 (b) 8 (c) 13 (d) 24

Q.18.A card is selected at random from a well shuffled deck of 52 cards. The probability of its being a red face card is

(a)3/26 (b) 3/13 (c) 2/13 (d) 1/2

**Direction for questions 19 & 20: In question numbers 19 and 20, a statement of**

**Assertion (A) is followed by a statement of Reason (R). Choose the correct option.**

## In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021–22

In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021–22, as per a report. A car manufacturing company planned to produce 1800 cars in 4th year ...

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Asked: September 17, 2022

In: Math

## In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021–22

In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021–22, as per a report. A car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. Assuming that the production increases uniformly by a fixed number every year.

**Based on the above information answer the following questions.**

**(1)**Find the production in the 1st year.

**(2)**Find the production in the 12th year.

**(3)**Find the total production in first 10 years.

**[OR]**

In which year the total production will reach to 15000 cars?

CBSE class 10

Math Sample Paper 2022

Sample paper solutions

Share Facebook Leave An Answer

### 1 Answer

Voted Recent

Suvankar Chakraborty

Added an answer on September 17, 2022 at 2:25 pm

Solution :

**(1) Find the production in the 1st year.**

**Since** the production increases uniformly by a fixed number every year, the number of Cars manufactured in 1st, 2nd, 3rd, . . .,years will form an AP.

So, a + 3d = 1800 & a + 7d = 2600

So d = 200 & a = 1200

**(2) Find the production in the 12th year.**t12 = a + 11d ⇒ t30 = 1200 + 11 x 200

⇒ t12 = 3400

**(3) Find the total production in first 10 years.**Sn = 𝑛 2 [2𝑎 + (𝑛 − 1)] ⇒ S10 = 10 2 [2 𝑥 1200 + (10 − 1) 200]

⇒ S10 = 13 2 [2 𝑥 1200 + 9 x 200]

⇒ S10 = 5 x [2400 + 1800 ]

⇒ S10 = 5 x 4200= 21000

**[OR]**

**In which year the total production will reach to 15000 cars?**Let in n years the production will reach to 31200

Sn = 𝑛 /2 [2𝑎 + (𝑛 − 1)] = 31200 ⇒ 𝑛 2 [2 𝑥 1200 + (𝑛 − 1)200] = 31200

⇒ 𝑛/ 2 [2 x 1200 + (𝑛 − 1)200] = 31200 ⇒ 𝑛 [ 12 + (𝑛 − 1) ] = 312

⇒ n 2 + 11n -312 = 0

⇒ n 2 + 24n – 13n -312 = 0

⇒ (n +24)(n -13) = 0

⇒ n = 13 or – 24. As n can’t be negative.

**So, n = 13**

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## CBSE Class 10 Mathematics (Basic) Sample Paper 2022

CBSE Class 10 Maths Sample Paper 2022-23: CBSE has released the CBSE Class 10 Mathematics (Basic) Sample Question Paper on official website at cbse.gov.in and cbseacademic.in. And download direct CBSE Class 10 Mathematics (Basic) Sample Question

## CBSE Class 10 Mathematics (Basic) Sample Paper 2022-23: Download CBSE 10 Mathematics (Basic) Sample Question Paper PDF Here

**CBSE Class 10 Maths Sample Paper 2022-23:**CBSE has released the CBSE Class 10 Mathematics (Basic) Sample Question Paper on official website at cbse.gov.in and cbseacademic.in. And download direct CBSE Class 10 Mathematics (Basic) Sample Question Paper pdf here.

Jagran Josh

Updated: Sep 22, 2022 13:50 IST

CBSE Class 10 Mathematics (Basic) Sample Paper 2022-23

**CBSE Class 10 Mathematics (Basic) Sample Question Paper 2022-23:**Central Board of Secondary Education has released Class 10 Mathematics (Basic) Sample Paper for 2022-23. The subject-wise sample question papers with their marking scheme is available on the CBSE website.

In addition to the sample papers, the board has released the marking scheme for the CBSE 2022-23 board examination as well.

Since Maths is nothing but practise, with CBSE sample question papers 2022-23 and the marking scheme in hand, students can easily score more marks if they start preparing wisely and practising regularly.

If you are afraid of the vast syllabus and don't know where to begin, start with the basic i.e, all the NCERT exercises. Once you are thorough with the NCERT content, you should solve the CBSE Class 10 Mathematics (Basic) Sample Question Paper 2022-23, and other previous year papers regularly. Doing this will help them retain all formulae and also help your speed and confidence.

**Click here to get the NCERT textbook pdf for CBSE Class 10 Mathematics.**

Many students make the mistake of solving the sample papers without even practising NCERT exercises which only makes them loose confidence and panic. Once you are done with the prescribed text, you can begin by going through the sample papers and previous year question papers. After familiarising yourself with the types of questions, you can start solving these.

The sample paper for the current academic year begins with the general instructions. The general instructions in the CBSE Class 10 Mathematics (Basic) Sample Question Paper 2022-23 are:

**General Instructions:**

This Question Paper has 5 Sections A, B, C, D, and E.

Section A has 20 Multiple Choice Questions (MCQs) carrying 1 mark each.

Section B has 5 Short Answer-I (SA-I) type questions carrying 2 marks each.

Section C has 6 Short Answer-II (SA-II) type questions carrying 3 marks each.

Section D has 4 Long Answer (LA) type questions carrying 5 marks each.

Section E has 3 Case Based integrated units of assessment (4 marks each) with sub-parts of the values of 1, 1 and 2 marks each respectively.

All Questions are compulsory. However, an internal choice in 2 Qs of 2 marks, 2 Qs of 3 marks and 2 Questions of 5 marks has been provided. An internal choice has been provided in the 2 marks questions of Section E.

Draw neat figures wherever required. Take π =22/7 wherever required if not stated.

Students can see the complete content of the CBSE Class 10 Mathematics (Basic) Sample Question Paper 2022-23 below and prepare for Mathematics (Basic) Board Exam 2022-23.

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**Section - A**

**1. If two positive integers p and q can be expressed as p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) is**

(a) ab (b) a2b2 (c) a3b2 (d) a3b3

**2. What is the greatest possible speed at which a man can walk 52 km and 91 km in an exact number of hours?**

(a) 17 km/hours (b) 7 km/hours (c) 13 km/hours (d) 26 km/hours

**3. If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is**

(a) 10 (b) -10 (c) 5 (d) –5

**4. Graphically, the pair of equations given by**

6x – 3y + 10 = 0 2x – y + 9 = 0

**represents two lines which are**

(a) intersecting at exactly one point.

(b) parallel. (c) coincident.

(d) intersecting at exactly two points.

**5. If the quadratic equation x2 + 4x + k = 0 has real and equal roots, then**

(a) k < 4 (b) k > 4 (c) k = 4 (d) k ≥ 4

**6. The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is**

(a) 5 units (b) 12 units (c) 11 units (d) (7 + √5) units

**7. If in triangles ABC and DEF, AB/DE = BC/FD , then they will be similar, when**

(a) ∠B = ∠E (b) ∠A = ∠D (c) ∠B = ∠D (d) ∠A = ∠F

**8. In which ratio the y-axis divides the line segment joining the points (5, – 6) and (–1, – 4)?**

(a) 1 : 5

Guys, does anyone know the answer?