Class 10 Maths Answer Key 2023
CBSE Class 10 Maths Answer key 2023: The Central Board of Secondary Education is all set to conduct the Class 10 Mathematics Exam 2023 on 21st March 2023. After the examination, the students will rush to find CBSE Class 10 Maths Answer key 2023 to cross-check their responses. We have provided the CBSE Class 10 Maths Answer key 2023 on this page. The CBSE Class 10 Maths Answer key 2023 is prepared by the expert facilities of Adda247. The Students appearing in the CBSE Exam 2023 must bookmark this page to get the CBSE Answer Keys for other subjects.
Maths Answer Key Class 10 2023
With the help of CBSE Class 10 Maths Answer key 2023, the students can cross-check their responses. CBSE Class 10 Maths Answer key 2023 is prepared by experienced faculties and it’s error-free, so candidates can match their responses with the CBSE Class 10 Maths Answer key 2023 provided on this page. Go through the whole article.
Class 10 Hindi Answer Key 2023, CBSE Set 1 2 3 4 Paper Solution
Class 10 Maths Answer Key 2023 for Set 1,2,3
CBSE Class 10 Maths Answer Key & Paper Analysis
CBSE 10th Mathematics Exam 2023 has over. Keep an eye on this section for student feedback, expert opinions, and exam analysis.
We spoke with the students who took the class 10 math exam. According to the student’s responses, the Class 10 Basic Mathematics exam was simple to complete, while the Standard Maths exam was more challenging than the Basic one.
- MCQs were quite simple and will help pupils earn the most points.
- There were certain questions on the test that were exact duplicates of those on previous years’ exams.
- The practice papers and sample papers for the CBSE were helpful in finishing the paper efficiently
- With adequate NCERT knowledge, the paper could be finished, because some questions are directly from the NCERT.
- The basic paper was simple for the most part, however, it was a little lengthy. Yet, they said that because they were able to answer every question in a natural flow, they were able to finish the paper in 3 hours.
Section wise Class 10 Maths Paper Analysis: Difficulty Level
| section | Total Questions | Marks | Difficulty Level for Standard Paper |
Difficulty Level for
Basic Paper |
| Section A | 20 | 1 | Easy | Easy |
| Section B | 5 | 2 | Easy | Easy |
| Section C | 6 | 3 | Tricky | Easy |
| Section D | 4 | 5 | Tricky | Easy |
| Section E | 3 with subparts | 4 | Easy | Easy |
CBSE Class 10 Maths Answer Key 2023 Set 1 (Code-30/5/1)
Section A
This section comprises multiple choice questions (MCQ) of 1 mark each.
4. In the given figure, DE || BC. The value of x is
Answer: (c) 6.5 cm
9. Water in a river which is 3 m deep and 40 m wide is flowing at the rate of 2 km/h. How much water will fall into the sea in 2 minutes?
14. The 11th term from the end of the A.P.: 10, 7, 4, 62 is:
17. Which of the following numbers cannot be the probability of happening of an event?
Class 10 Maths Answer Key & Question Paper 2023 (Code 30/5/2)
CBSE Class 10 Maths Answer Key 2023 & Question Paper Set 3
Paper Code- 30/2/3
Class 10 Maths Answer Key & Question Paper 2023 Set 2 (Standard)
Paper Code- 30/1/2
Paper Code- 30/2/2
Class 10th Maths Answer key 2023
The students appearing in the CBSE Class 10 Exam 2023 must know the miscellaneous information regarding CBSE Class 10th Maths Answer key provided in the table below:
| Class 10 Mathematics Answer Key 2023 | |
| Exam Conducting Body | Central Board of Secondary Education |
| Exam & Subject Name | CBSE Class 10 Mathematics |
| Category | Class 10 Maths Answer Key 2023 |
| Exam Date | 21st March 2023 |
| Unofficial Answer Key | 21st March 2023 |
| Official Answer Key | To be notified |
| Official Website | https://www.cbse.nic.in/ |
Class 10 Maths Answer Key 2023: Question Paper Pattern
Candidates must be familiar with the Class 10 Mathematics exam format in order to estimate their anticipated Scores using the Class 10 Maths Answer Key. The CBSE Class 10 Mathematics question paper comprises five sections: A, B, C, D, and E.
- Section A contains 20 Multiple Choice Questions (MCQs) worth one mark each.
- Section B contains five Short Answer-I (SA-I) type questions, each worth two points.
- Section C contains six Short Answer-II (SA-II) type questions, each worth three points.
- Section D has four Long Answer (LA) questions for five points each.
- Section E has three Case Based integrated units of assessment (4 marks each) with sub-parts of 1, 1, and 2 marks.
Maths Class 10 Answer Key 2023
Students who take the 10th Math exam can predict their ultimate scores using their answer keys. The CBSE Class 10 Mathematics Answer Key 2023 will be available for students to use on this page. The CBSE class 10 Mathematics Exam questions and answers are continually revised by Adda247 Professionals. Once the exam is finished, you can utilize the CBSE Class 10 Mathematics Answer Key 2023 to confirm that all of the correct answers were provided.
Class 10th Boards Ka Vardaan eBook By adda247
Class 10 Maths Answer Key- Question Paper
With the help of the Class 10 Mathematics Answer Key and the Class 10 Maths Question Papers, candidates can estimate their predicted results. The CBSE 10th class examination has four paper sets. The grading and numbers in the exam questions are the same in each set, but the questions are arranged in different numbers. In this section, we will provide the CBSE Class 10 Maths Question Papers 2023 Pdf for all four sets.
CBSE Class 10 Maths Answer Key – Paper Solution
After the exam, candidates rush to find the Class 10 Mathematics Answer key 2023. We will providethe Class 10 Maths Answer key 2023 for all sets and Exam analysis for your convenience. We will provide the detailed 100% correct CBSE Class 10 Maths Answer key 2023 with question paper analysis as soon as the CBSE Class 10 Maths Exam 2023 is completed.
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CBSE Class 10 Maths Standard Solution: Paper Code-30/1/1, Set 1 Previous Year
Section A
Q.1 Find the sum of first 30 terms of AP: -30, 24, -18,/..
Solution: a= -30, d= 6
= 15 [-60 + 29 (6)]
= 15 [-60+174]
= 15 [114]
= 1710
OR
Q: If an AP is Sn = n(4n+1), then find the AP
Solution: S1 = T1 = 5
S2= T1 + T2= 18
S2-S1 = T2= 13
AP= 5, 13, 21, 29, …
Q.2: A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones, each of radius 3.5 cm and height 3 cm. Find the number of cones so formed.
Solution: r1 = 10.5 cm (sphere) and r2 (cone)= 3.5 cm, h2= 3cm
4/3πr³ = n x 1/3πr2² h
4r³ = nr2² h
4 x (105/10)³= n x 35/10 x 35/10 x 3
21 x 6= n
Number of cones formed= 126
Q. 3 (a) Find the value of m for which the quadratic equation
(m-1) x² + 2(m-1)x + 1 = 0
Solution: D= 0
4 (m-1)² – 4(m-1) = 0
4 (m-1) [m-1-1]= 0
(m-1) (m-2)= 0
m= 2
(b) Solve the following quadratic equation for x: √3x² + 10x + 7√3= 0
Solution: √3x² + 3x + 7x + 7√3= 0
√3x (x+ √3) + 7 (x + √3)= 0
(x+ √3) [√3x + 7]= 0
x= √3 || x= -7/√3
Q.4: Find the mode of the following frequency distribution:
| Class | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
| Frequency | 15 | 10 | 12 | 17 | 4 |
Solution: l= 40, f1= 17, f2= 4, fo= 12
Mode= l + f1-fo / 2f1 – fo- f2
= 40 + 17-12 / 34-12-4 x 10
= 40 + 5/18 x 10
= 40 + 25/9
= 40 + 2.78
= 42.78
Q.5: The product of Rehan’s age (in years) 5 years ago and his age 7 years from now, is one more than twice his present age. Find his present age.
Solution:
| Past Age | Present Age | Future Age |
| x-5 | x | x+7 |
(x-5) (x+7) = 2x + 1
x² + 2x -35 = 2x+1
x² – 36 = 0
x² = 36
x= +_ 6
Present Age- 6 years
Q.6 Two concentric circles are of radii 4 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.
Solution:
Section B
Q.7: For what value of x, is the median of the following frequency distribution 34:5?
| Class | Frequency |
| 0-10 | 3 |
| 10-20 | 5 |
| 20-30 | 11 |
| 30-40 | 10 |
| 40-50 | x |
| 50-60 | 3 |
| 60-70 | 2 |
Solution:
Q.8: Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Construct tangents to the circle from these two points P and Q.
Solution:
Q.9: (a) The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, then find the height of the building.
Solution:
tan 60° = 50/b
b= 50/ tan 60°
b = 50/ √3
b= 50√3 / 3
tan 30° = h/(50√3/3)
h= 50√3/3 x 1/√3
= 50/3 m= 16.67 metres
OR
Q.9:(b) From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 3 m from the banks, then find the width of the river.
Solution:
Q.10: Following is the daily expenditure on lunch by 30 employees of a company, Find the mean daily expenditure of the employees.
Solution:
Q.11: From a solid cylinder of the height of 30 cm and radius of 7 cm, a conical cavity of height of 24 cm and same radius is hollowed out. Find the total surface area of the remaining solid.
Solution: H= 30 cm
R= 7 cm
Total Surface Area of Cylinder = Curved Surface Area of Cylinder + Curved Surface Area of Cone + πr²
TSA = 2 πrh + πrl + πr²
= πr (2h+ l+ r)
= 22/7 x 7 (60+25 + 7)
= 22 x 92
TSA= 2024 cm
Q.12: In figure 1, a traingle ABC with angle B = 90 degrees is shown. Taking AB as diameter, a circle has been drawn intersecting AC at point P. Prove that the tangent drawn at point P bisects BC.
Solution:
Case Study:1
Q.13: In Mathematics, relations can be expressed in various ways. The matchstick patterns are based on linear relations. Different strategies can be used to calculate the number of matchsticks used in different figures.
One such pattern is shown below. Observe the pattern and answer the following questions using Arithmetic Progression::
(a) Write the AP for the number of triangles used in the figures. Also, write the nth term of this AP. Which figure has 61 matchsticks?
Solution- AP = 4, 6, 8, 10
a= 4, d= 2
Tn = 4 + 2(n-1)
Tn= = 4 + 2n – 2
Tn= 2n +2
(b) Which figures has 61 matchstickes?
Solution: 12, 19, 26, …
Tn = 61
a + (n-1) d= 61
12 + 7(n-1) = 61
7(n-1) = 49
n-1 = 7
n= 8
8th figure has 61 matchsticks
Q.14 Gadisagar lake is located in the jaisalmer district of Rajasthan. It was built by king of jaisalmer ad rebuilt by Gadsi Singh in 14th Century. The lake has many chattris. One of them is shown below:
Observe the picture. From a point A h m above from water level, the angle of elevation of top of chattari (point B) is 45 degrees and angle of depression of its reflection in water(Point C) is 60 degrees. If the height of chhattri above the water level is 10m, then
a) Draw a well-labelled figure based on the above information;
b) Find the height of the point A above the water level.
(Use √3 = 1.73)
Solution:
good work
I ma saurabh Upadhyay