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The Central Board of Secondary Education (CBSE) is all set to conduct the CBSE Class 10 Mathematics exam on March 11, 2024. Students preparing for the CBSE 10th exam of Maths must go through the previous year’s Maths question paper. The CBSE 10th Mathematics 2024 exam will contain 38 questions. The question paper will be divided into 5 sections.
Students will be required to attempt all 5 sections which consists of - MCQs, short answer type questions and long answer type questions consisting of 1, 2, 3, 4 and 5 marks. In this article, we have listed a few questions that were asked in the CBSE 2023 Maths board exam. Students can go through these questions to get an insight into the types of questions that hold importance and are asked in the final board exams.
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Section-A of the CBSE 2023 Mathematics paper Class 10 had 18 multiple-choice questions which carried a weightage of 1 mark each. 2 assertion-reason based questions were also asked of 1 mark each. Below, we have listed questions for students' reference:
Q1. The prime factorisation of natural number 288 is:
24 x 33
24 x 32
25 x 32
25 x 31
Q2. If 2 cosθ = 1, then the value of θ is
45°
60°
30°
90°
Q3. A card is drawn at random from a well-shuffled deck of 52 cards. The
probability of getting a red card is:
1/26
1/13
1/ 4
1/2
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Q4. The discriminant of the quadratic equation 2x2 - 5x - 3 = 0 is
1
49
7
19
Q5. The distance between the points (3, 0) and (0, -3) is
2√3 units
6 units
3 units
3√2 units
Q6. The seventh term of an A.P. whose first term is 28 and common difference
- 4, is
0
4
52
56
Q8. The sides of two similar triangles are in the ratio 4: 7. The ratio of their
perimeters is:
4: 7
12: 21
16: 49
7: 4
Q10. The sum and the product of zeroes of the polynomial p(x) = x2 + 5x + 6 are
respectively
5, -6
-5, 6
2, 3
-2, -3
Q11. A die is thrown once. Find the probability of getting a number less than 7.
5/6
1
1/6
0
Q13. The volume of a cone of radius ‘r' and height '3r' is :
1/ 3 π r2
3π r3
9π r3
π r3
Q14. The distance between two parallel tangents of a circle of diameter 7 cm is:
7 cm
14 cm
7/2 cm
28 cm
Q16. The larger of two supplementary angles exceeds the smaller by 18 degrees. What is the measure of larger angle?
81°
99°
36°
54°
Directions for Q.19 & Q.20 - In question numbers 19 and 20, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option:
Both Assertion (A) and Reason (R) are true and Reason (R) is the
correct explanation of Assertion (A).
b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the
correct explanation of Assertion (A).
c) Assertion (A) is true, but Reason (R) is false.
d) Assertion (A) is false, but Reason (R) is true.
Q19. Assertion (A): A tangent to a circle is perpendicular to the radius
through the point of contact.
Reason (R): The lengths of tangents drawn from the external point to a
circle are equal.
Section B of the Mathematics paper CBSE 10th Class consists of short answer questions carrying a weightage of 2 marks each. Students are required to attempt 5 questions from this section. Below, we have listed questions that were given in the CBSE 10th Maths paper 2023 PDF:
Q21. a) Find the coordinates of the point which divides the line segment
joining the points (7, -1) and (-3, 4) internally in the ratio 2: 3.
OR
(b) Find the value(s) of y for which the distance between the points
A(3, -1) and B(11, y) is 10 units.
Q22. Evaluate : tan2 60° - 2 cosec2 30° - 2 tan2 30°.
Q23. Find the LCM and HCF of 92 and 510, using prime factorisation.
Q 24. (a) Solve for x and y : x + y = 6, 2x - 3y = 4.
OR
(b) Find out whether the following pair of linear equations are
consistent or inconsistent:
5x - 3y = 11, 10x + 6y = 22
Section C of the Mathematics paper 2023 CBSE 10th Class consisted of short answer questions carrying a weightage of 3 marks each. Students are required to attempt 6 questions from this section. Below the questions have been mentioned which were a part of the CBSE Maths Class 10 2023 exam.
Q27. Show that the points A(1, 7), B(4, 2) C(-1, -1) and D(- 4, 4) are vertices of
the square ABCD.
Q28. Prove that the tangents drawn from an external point to a circle are equal
in length.
Q29. If α, β are zeroes of the quadratic polynomial x2+ 3x + 2, find a quadratic
polynomial whose zeroes are α+ 1, β + 1.
Q30. Prove that 3 + 7√2 is an irrational number, given that √2 is an irrational
number.
Section D of CBSE 10th Maths paper 2023 consists of long answer type questions carrying 5 marks each. Students have to attempt 4 questions from this section. Below, we have listed the questions that were asked in the 2023 CBSE Maths paper:
Q32. (a) The diagonal of a rectangular field is 60 m more than the shorter side. If the longer side is 80 m more than the shorter side, find the length of the sides of the field.
OR
(b) The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages (in years) was 124. Determine their present age.
Q33. A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder of same diameter. The diameter of the hemispherical bowl is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel. Also, find the volume of the vessel.
Q34. The table given below shows the daily expenditure on food of 25 households in a locality:
Daily Expenditure | 100-150 | 150-200 | 200-250 | 250-300 | 300-350 |
No. of households | 4 | 5 | 12 | 2 | 2 |
Find the mean daily expenditure on food. Also, find the mode of data.
Q35. (a) A TV tower stands vertically on the bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60°. From another point 20 m away from the point on the line joining this point to the foot of the tower, the angle
of elevation of the top of the tower is 30°. Find the height of the tower.
OR
(b) An aeroplane when flying at a height of 4000 m from the ground passes vertically above another aeroplane at an instant when the angles of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Find the vertical distance between the aeroplanes at that instant. (Use √3 = 1.73)
Section E of the CBSE 10th Maths exam paper 2023 consists of 3 sourced-based/Case Based/passage-based/integrated units of assessment (4 marks each) with sub-parts of the values of 1, 1 and 2 marks each respectively. Below, we have mentioned the questions that were asked in the CBSE class 10 2023 Maths paper:
Q36. Aahana being a plant lover decides to convert her balcony into beautiful garden full of plants. She bought few plants with pots for her balcony. She placed the pots in such a way that number of pots in the first row is 2, second row is 5. third row is 8 and so on.
Based on the above information, answer the following questions :
(i)Find the number of pots placed in the 10th row.
(ii) Find the difference in the number of pots placed in 5th row and 2nd row.
(iii) If Aahana wants to place 100 pots in total, then find the total number of rows formed in the arrangement.
OR
(iii) If Aahana has sufficient space for 12 rows, then how many total number of pots are placed by her with the same arrangement?
Q37. Interschool Rangoli Competition was organized by one of the reputed
schools of Odissa. The theme of the Rangoli Competition was Diwali celebrations where students were supposed to make mathematical designs. Students from various schools participated and made beautiful Rangoli designs. One such design is given below:
Rangoli is in the shape of a square marked as ABCD, the side of the square being 40 cm. At each corner of a square, a quadrant of circle of radius 10 cm is drawn (in which diyas are kept). Also, a circle of diameter 20 cm is drawn inside the square.
(i) What is the area of square ABCD?
(ii) Find the area of the circle.
(iii) If the circle and the four quadrants are cut off from the square ABCD
and removed, then find the area of the remaining portion of square ABCD.
OR
(iii) Find the combined area of 4 quadrants and the circle, removed.
Q38. Blood group describes the type of blood a person has. It is a classification of blood based on the presence or absence of inherited antigenic substances on the surface of red blood cells. Blood types predict whether a serious reaction will occur in a blood transfusion.
In a sample of 50 people, 21 had type O blood, 22 had type A, 5 had type B and rest had tvpe AB blood group.
Based on the above, answer the following questions:
(i) What is the probability that a person chosen at random had type O blood?
(ii) What is the probability that a person chosen at random had type AB blood group?
(iii) What is the probability that a person chosen at random had neither type A nor type B blood group?
OR
(iii) What is the probability that person chosen at random had either type A or type B or type O blood group?
There are numerous benefits of referring to and solving previous years’ Maths question paper of CBSE 10th class. Below, we have listed a few pros of solving CBSE 10th maths question paper 2023:
Solving last year's CBSE Class 10 Mathematics board exam question paper helps students understand the exam pattern and question paper format.
By solving past papers, students can identify the topics that are frequently asked and prioritize their study accordingly.
Practicing with the previous year's Maths papers CBSE 10th enables students to manage their time effectively during the actual exam, as they get accustomed to the allotted time for answering the paper.
Successfully solving CBSE Class 10 Maths paper 2023 boosts students' confidence as they get a sense of accomplishment and readiness for the upcoming 2024 board exam.
Analyzing previous year's papers also helps students understand the marking scheme and allocate time and effort accordingly to high-scoring sections.
By reviewing their answers, students can identify and rectify common mistakes, improving their overall accuracy.
Regular practice with CBSE 10th Maths past year papers enhances students' problem-solving abilities and equips them with strategies to tackle complex problems.
Solving the CBSE 10th Maths exam paper serves as a comprehensive revision tool, allowing students to consolidate their understanding of concepts and formulas.
Also, Check:
Allocate time wisely to each section based on the number of questions and difficulty level. Start with easier questions to build confidence and manage time effectively for the more challenging ones.
The CBSE Class 10 Mathematics 2024 exam will be held on March 11, 2024.
The CBSE 10th Maths theory paper carries a weightage of 80 marks, while 20 marks are reserved for internal assessment/project.
No, calculators are generally not allowed in the CBSE 10th class Maths exam. Students are expected to perform calculations manually.
Dear aspirant !
Hope you are doing well ! The class 10 Hindi mp board sample paper can be found on the given link below . Set your time and give your best in the sample paper it will lead to great results ,many students are already doing so .
Hope you get it !
Thanking you
Hello aspirant,
The dates of the CBSE Class 10th and Class 12 exams are February 15–March 13, 2024 and February 15–April 2, 2024, respectively. You may obtain the CBSE exam date sheet 2024 PDF from the official CBSE website, cbse.gov.in.
To get the complete datesheet, you can visit our website by clicking on the link given below.
https://school.careers360.com/boards/cbse/cbse-date-sheet
Thank you
Hope this information helps you.
Hello aspirant,
The paper of class 7th is not issued by respective boards so I can not find it on the board's website. You should definitely try to search for it from the website of your school and can also take advise of your seniors for the same.
You don't need to worry. The class 7th paper will be simple and made by your own school teachers.
Thank you
Hope it helps you.
The eligibility age criteria for class 10th CBSE is 14 years of age. Since your son will be 15 years of age in 2024, he will be eligible to give the exam.
That totally depends on what you are aiming for. The replacement of marks of additional subjects and the main subject is not like you will get the marks of IT on your Hindi section. It runs like when you calculate your total percentage you have got, you can replace your lowest marks of the main subjects from the marks of the additional subject since CBSE schools goes for the best five marks for the calculation of final percentage of the students.
However, for the admission procedures in different schools after 10th, it depends on the schools to consider the percentage of main five subjects or the best five subjects to admit the student in their schools.
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