ICSE has revised the maths syllabus for class 10 to reduce the burden on the students for the academic year 2021-22. The syllabus for the ICSE board is designed as per the guidelines of CISCE. The class 10 maths syllabus is structured well and is readily available for the students to download. This will help the students in managing their study time and prepare well for the exams. Maths is a highly scoring subject and can boost the overall marks of a student.

To score well, a student should be well aware of the syllabus and prepare the subject thoroughly. The total marks for the subject are 100 marks, distributed between two parts: theory paper and internal assessment.

The following is the ICSE board class 10 maths syllabus.

## Theory Syllabus of Class 10 ICSE Maths

The following shows the unit-wise topics and their respective marks distribution:

Commercial Mathematics

1. Goods and service Tax (GST)

2. Banking

Algebra

1. Linear Inequations

2. Quadratic Equations in one variable

3. Ratio and Proportion

4. Factorization

5. Matrices

6. Arithmetic Progression (AP)

7. Coordinate Geometry

Geometry

1. Similarity

2. Circles

3. Angle properties

4. Cyclic properties

5. Tangent and Secant properties

6. Constructions

Mensuration

1. Area and Volume of Solids – Sphere, Cone, and Cylinder

Trigonometry

1. Using identities for solving or proving the simpler algebraic, trigonometric expressions.

2. Heights and Distances – 2D problems involving angles of elevation and depression.

Statistics

1. Basic concepts, Mean, Median, Mode, Histograms, and Ogive.

Probability

1. Random experiments

2. Sample space

3. Events

4. Definition of Probability

5. Simple problems based on single events.

**Syllabus Weightage**

For the class 10 written exam, the weightage is 80 marks. These 80 marks are further distributed into two sections:

Section I – This section contains short answer-type questions and has 40 marks.

Section II- In this section, a student is given a choice to answer four questions out of seven.

The following provides the weightage of the units of the class 10 maths syllabus:

1. Algebra – 19 marks

2. Geometry – 14 marks

3. Trigonometry – 8 marks

4. Probability – 8 marks

5. Coordinate Geometry – 10 marks

6. Mensuration – 21 marks

Being thorough with the syllabus and weightage of the essential topics will benefit students, as it helps them prioritize their study time and prepare well for the exams. The theory exam, which has 80 marks, is for 2 hours 30 minutes. The remaining 20 marks are covered in the internal assessment.

## ICSE Class 10 Maths Internal Assessment

In this, the students are provided a list of assignments, of which they have to complete any two. Following is the list of assignments a student can choose for the internal assessment.

- Comparative coverage of different items from the newspaper
- Take a survey for the different amount of rates of interest offered by the various banks.
- Research and plan a home budget.
- Conduct a survey in your locality or area for the prices of essential commodities, mode of conveyance, favorite sports. Represent the mentioned data in the form of a bar graph or histogram and estimate the mode
- Study about the shares and reports in the newspaper and prepare a report on them.
- At a vertical height of 20 cm, set up an ink dropper placed above on a horizontal sheet of paper. Release a single drop of ink and observe the pattern. Witness the same process by keeping the ink dropper at different heights and derive the patterned relationship between the ink dropper observed and the vertical height.
- Take three vertical sticks and place them on a horizontal board. Prepare discs of varying sizes with holes in them. Take one disc and put it on stick A. Transfer disc B & C. Now take the bigger disc from the B & C and place it above disc A. Transfer these discs to sticks B and C as per the previous situation. How many moves did it take? Try with an increasing number of the disc and generalize it.
- Take a square piece of paper that has a side of 10 cm. Form an open box by cutting the corners of the square sheet in the form of small squares. What should be the cut size of the corners of the square sheet such that the volume of the open box is maximum?
- Take four marbles, each set having marbles of the same size, an open box, and some water. Place water and marbles in the box. Answer the question: Do small or large marbles occupy more volume in a given space?
- Find the answer to the following question: What kind of sides (integers only) rectangle should have if the perimeter and the area of that rectangle have to be equal? (Hint: There are only two such rectangles)
- Find by construction the center of a circle, using only a 60-30 set square and a pencil.
- Explain and prepare a report on various types of cryptarithms.

The above information mentions some of the assignments that students can perform for their internal assessment work. The assignment or the project work performed for the internal assessment is evaluated by an internal subject teacher and an external examiner. Both the internal and the external examiner give marks to the students.

## Frequently asked questions of Class X ICSE Mathematics

### Q1. How are the marks for the class 10 ICSE board Maths distributed?

The total marks allotted for the ICSE board class 10 maths are 100 marks. These marks are distributed between theory (80 marks) and practical (i.e., internal assessment: 20 marks) exams.

### Q2. What is the weightage for the units of the class 10 maths syllabus?

The following shows the unit-wise weightage of the marks for the class 10 maths syllabus:

1. Algebra – 19 marks

2. Geometry – 14 marks

3. Trigonometry – 8 marks

4. Probability – 8 marks

5. Coordinate Geometry – 10 marks

6. Mensuration – 21 marks

### Q3. Which unit has the highest weightage for the class 10 maths syllabus?

For the class 10 maths syllabus, the unit with the highest weightage is “Mensuration.”

### Q4. How are the marks for internal assessment provided for class 10?

The marks for internal assessment are provided based on the project a student does.

### Q5. Which unit is complex in the ICSE class 10 maths syllabus?

The difficulty of a unit in maths depends on the ability of a student. Some may find it easy, while others may be struggling to understand the same topic. But most of the time, students find “geometry” difficult.