ICSE stands for Indian Certificate of Secondary Education and is an autonomous educational board in India. It is known for its quality education and is one of the most challenging education boards in India. All the students are encouraged and advised to have detailed knowledge regarding the ICSE Class 10 Mathematics 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 ICSE Class 10 Maths question paper 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.

ICSE aims at enhancing the student’s ability to solve numerical day-to-day life problems and improving mathematical reasoning. It allows students to solve the problems using the algebraic methods and trigonometry concept of height and distances. The secondary stage curriculum includes Algebra, Geometry, Trigonometry, Mensuration, Statistics, Probability, etc. It allows students to develop good skills and understanding related to algebra. It further adds to developing good drawing skills.

## ICSE Class 10 Maths Syllabus

The syllabus of ICSE Class 10 Maths contains essential topics to help students in their academic year. Practical-based learning and theory-based learning are both vital for the students. The updated syllabus for Class 10 Maths is as follows:

S.No. | Units | Chapters/Topics |

Commercial Mathematics | Compound interest Sales tax and value-added tax Banking – Savings bank account, recurring deposit accountsShares and dividends | |

Algebra | Linear inequations Quadratic equationsReflection Ratio and proportion Factorization Matrices Coordinate geometry – distance formula, section and midpoint formula, and equation of a line. | |

Geometry | SymmetrySimilarity LociCircles – chord properties, arc, chord properties, cyclic properties, tangent properties, and constructions | |

Mensuration | Circle Three-dimensional solids | |

Trigonometry | Algebraic trigonometric expressions Trigonometric ratios of complementary angles and direct applications Heights and distances | |

Statistics | Graphical representations – histograms and ogives Computation of measures of central tendency and mean | |

Probability | Random experiments Probability conceptEvents and simple problems on single events |

The above shows the units and chapters of Class 10 Maths, ICSE Board. There are a total of seven units in maths, and each unit consists of various topics. The first unit “Commercial Mathematics” explains the topics like compound interest, simple interest, sales tax, value-added tax, banking concepts (savings bank account, recurring deposits), shares and dividends, income and return concepts, market value, and dividend concepts. The second unit of the syllabus “Algebra” includes linear inequalities, quadratic equations, reflection, ratio and proportion, factorization, matrices, coordinate geometry – distance formula, section and midpoint formula, and equation of a line.

The unit “Geometry” explains symmetry, similarity, loci, circles concept (chard properties, arc, chord properties, cyclic properties, tangent properties, and constructions), lines of symmetry, locus points, and axioms of similarity of triangles. The next unit includes the concepts of mensuration like circles, areas, circumference, and three-dimensional solids of circular cones and spheres.

The unit “Trigonometry” explains the concepts of algebraic trigonometric expressions, trigonometric ratios of complementary angles and direct applications, heights, and distances. The Statistics unit includes concepts of graphical representation of ogives and histograms, computation of measures of central tendency, and mean calculation methods like a direct, short-cut, and step-deviation. The last unit, “Probability” includes topics like random experiments, probability concepts, events, and simple problems on single events.

## ICSE Class 10 Maths Mark-Distribution Scheme:

The ICSE Class 10 Maths previous year question paper 2021 is for two hours. It consists of theory and practical-based questions. The theory part consists of 80 marks, and the internal assessment consists of 20 marks. The internal assessment further gets divided into sections.

- Subject Teacher (Internal Examiner) – 10 marks
- External Examiner – 10 marks

S.No. | Particulars | Marks |

Theory-Based Question Paper | 80 | |

Internal Assessment (Practical Work) | 20 | |

Total | 100 |

## ICSE Class 10 Maths Exam Pattern:

The exam pattern helps students understand and prepare questions that they can expect from each chapter. It helps students to focus on the chapter that holds a high weightage. The question paper of Class 10 Maths gets segregated into two parts with an equal weightage of 40 marks each. The first section of the question paper consists of short answer-type questions. These questions get selected from the entire syllabus. So, students are required to prepare short answer-type questions from each chapter. The second section of the question paper consists of seven questions, and students are required to attempt 4 questions out of the six questions. These four questions are of 10 marks each, making a total of 40 marks.

S. No. | Type of Questions | Marks |

Compulsory Short Type Questions | 40 | |

Long Answer Type Questions (Attempt only 4 out of 6) | 40 | |

Total | 80 |

ICSE Class 10 Maths question paper helps students prepare the most critical topics for the next academic year. It allows students to focus on the topics and concepts that are most likely to come in exams.

## FAQS of Class 10 Maths ICSE

### Find the value of K if the equation is K + 3, K + 2, 3K – 7, and 2K – 3.

**Sol: **The value of K is as follows:

Here, K + 3 / K + 2 = 3K – 7/ 2K – 3

= (K +3) (2K – 3) = (K + 2) (3K – 7)

= 2K2 – 3K + 6K – 9

= 3K2 – 7K + 6K – 14

= K2 – 4K – 5 = 0

= (K – 5) (K + 1) = 0

= K = 5 or K = -1.

### For 20 months, Shikha opened a recurring deposit account. The rate of interest per annum is 9%, and Shikha receives an interest of 441 at the time of maturity. Calculate the amount deposited each month by Shikha.

**Sol: **Here, n = 20

R = 9% p.a.

Interest = 441

Let the monthly deposit be x

So, x (20 x 21 / 2 x 12) x (9/100) = 441

X = 441 x 100 x 24 / 20 x 21 x 9 = 280

So, the monthly deposit by Shikha is 280.

### The sum of the three terms of an A.P. (Arithmetic Progression) is 42. The product of the first and third terms is 52. Calculate the first term and their common difference.

**Sol:** let the first three terms be a – d, a and a + d.

As per the statement:

a – d + a + a + d = 42

3a = 42

a = 14

Now, (a – d) (a + d) = 52

a2 – d2 = 52

142 – d2 = 52

d2 = 196 – 52 = 144

d = 12

So, the first term is 14, and the common difference is 12.