CBSE stands for Central Board of Secondary Education. CBSE conducts exams for Class 10 and is responsible for creating the CBSE Syllabus for Class 10 Maths. All the students are encouraged and advised to have detailed knowledge regarding the CBSE Class 10 Maths syllabus to have a clear and concise idea about the exam pattern, upcoming exams, and marking scheme. In this article, students will know about the CBSE Class 10 Maths Syllabus for the academic year 2021-22, including the names of the units, main topics, marking scheme, and practical examples. It further includes the evaluation scheme.

As per the CBSE board, the syllabus gets segregated into two terms, Term 1 and Term 2. CBSE Board has also stated the unit-wise distribution of marks for each term, including the internal assessment. The question paper consists of four sections, Section A, Section B, Section C, and Section D. In 2020, CBSE conducted two different exam papers for Math for the first time, “Mathematics Standard” and “Mathematics Basics”. It gave students an option to choose their desired exam pattern. If students wish to make Mathematics their career, they can opt for “Mathematics Standard”, and if they have no plans to pursue Mathematics, they can go for “Mathematics Basics”.

## Class 10 Mathematics Question Paper Design:

The format and marking scheme for Class 10 Maths is as follows:

S.No. | Typology of Questions | Total Marks | % Weightage (Approx.) |

1 | Remembering: Contains basic concepts, terms, facts, memory-based questions, and answers Understanding: Demonstrate the basic concepts and understanding, translating, comparing, organizing the facts and ideas, giving descriptions, and stating the main ideas | 60 | 75 |

2 | Applying: Solving numerical problems by applying formulas, techniques, facts, rules, and knowledge | 12 | 15 |

3 | Analyzing: Examine and break the question into different parts to determine the motive and cause. Find evidence to support the answer. Evaluating: Present the answer descriptively and concisely with a validity of ideas, good understanding Defend your problem-solving approach. Creating: Compile all the information together and form smaller patterns to present it in a good way. | 8 | 10 |

Total | | 80 | 100 |

The table above consists of three different sections, A, B, and C. The question paper consists of 40 questions in total. The first part of the question paper consists of three divisions, namely MCQs, Fill in the blanks, and the short answer type questions. Section B consists of short-type questions, and the last section D consists of long answer-type questions or numerical problems.

## CBSE 10 Maths Unit-wise Mark Distribution:

As students already know, the two-term distribution of the syllabus, First-Term consists of 7 chapters, and Second Term includes 5 chapters. The chapter-wise marking scheme is as follows:

Units | Unit Name | Marks |

I | Number Systems | 06 |

II | Algebra | 20 |

III | Coordinate Geometry | 06 |

IV | Geometry | 15 |

V | Trigonometry | 12 |

VI | Mensuration | 10 |

VII | Statistics and Probability | 11 |

Total | 80 | |

Internal Assessment | 20 | |

Grand total | 100 |

## CBSE 10 Maths Chapter-wise Period Distribution:

Units | Unit Name | Chapter Name | Periods |

I | Number Systems | Real Number | 15 |

II | Algebra | Polynomials | 7 |

Pair of Linear Equations in Two Variables | 15 | ||

Quadratic Equations | 15 | ||

Arithmetic Progressions | 8 | ||

III | Coordinate Geometry | Lines | 14 |

IV | Geometry | Triangles | 15 |

Circles | 8 | ||

Constructions | 8 | ||

V | Trigonometry | Introduction to Trigonometry | 10 |

Trigonometric Identities | 15 | ||

Heights and Distances | 8 | ||

VI | Mensuration | Areas Related to Circles | 12 |

Surface Areas and Volumes | 12 | ||

VII | Statistics and Probability | Statistics | 18 |

Probability | 10 |

The first term of the question paper includes seven chapters, and the second term of the question paper includes five chapters. The chapter “Algebra” has the highest weightage of 20 marks. Other important chapters are Geometry, Trigonometry, Mensuration, and Statistics and Probability. The internal assessment of the first term holds a weightage of 10 marks and 10 marks for the second term. The internal assessment is further divided into three divisions, listed as follows:

Internal Assessment | Marks |

Pen Paper Test and Multiple Assessment (5+5) | 10 |

Portfolio | 05 |

Lab Practical | 05 |

## Approach to solve the questions of CBSE 10 Maths

The first division of Section A is MCQs (Multiple Type Questions). The MCQ question consists of four options. Students will have to select the right option by solving the problem. It might consist of linear equations, HCF/LCM, Prime numbers, trigonometry type questions. They are generally easy questions. So, students get advised to start with the MCQ questions first.

Once students get done with these questions, they can move on to Section A’s next part, which includes fill in the blanks. A couple of questions might consist of diagrammatic representations, and students will have to solve the equation to answer the question. They are also easy compared to other questions.

The last part of Section A consists of short answer-type questions of 1 mark each. They are easy to attempt. So, overall, we can say that Section A is easy, and students can secure good marks if they perform well in Section A.

Section B consists of short-type questions of 2 or 3 marks each. The difficulty level is easy to moderate. Students get advised to attempt this section after completing Section B. Section C includes long answer-type questions, moderate to high-level. This section is considered the hardest as compared to other sections in the question paper. Students get advised to attempt this section at last, but they are confident in the long questions, they can attempt it first. The last section is based on practical calculations and lengthy problems.

## FAQS of CBSE 10 Maths

- Find the mean of the following distribution:

Class | 3-5 | 5-7 | 7-9 | 9-11 | 11-13 |

Frequency | 5 | 10 | 10 | 7 | 8 |

**Ans**: The solution is as follows:

Classes | X_{1} | F_{1} | F_{1}x_{1} |

3-5 | 4 | 5 | 20 |

5-7 | 6 | 10 | 60 |

7-9 | 8 | 10 | 80 |

9-11 | 10 | 7 | 70 |

11-13 | 12 | 8 | 96 |

Total | | 40 | 326 |

x̄ = Σ f_{1}x_{1 }/ Σ f_{1} = 326/40 = 8.15

- What is the value of k if one of the zeroes of the quadratic polynomial x
^{2}+ 3x + k is 2: - 10
- -10
- -7
- -2

**Ans: **(b)-10

- The value of p, for which the points A (3,1), B (5, p) and C (7, -5) are collinear, is
- -2
- 2
- -1
- 1

**Ans: **(a) -2

- The ratio between the length of a vertical rod and its shadow is 1: √3. Calculate the angle of elevation?

**Ans:** tan θ = 1 / √3 = θ = 30°.

- The value of x for which 2x, (x+ 10) and (3x +2) are the three consecutive terms of an AP, is
- 6
- -6
- 18
- -18

Ans: (a) 6