# CBSE Class 10

## CBSE Class 10 Subjects

Class 10 Board is a turning stage in a students education life. All the CBSE Class 10 subjects mentioned below are compulsory to study for students and the syllabus of all these subjects are prepared by the CBSE Board itself.- Maths
- Science

## Download CBSE Class 10 Maths Sample Paper 2021 PDF

Click on the link below to get the Maths Class 10 Basic and Standard Sample papers below.## What’s available

Class 10 Board is a turning stage in a students education life. All the CBSE Class 10 subjects mentioned below are compulsory to study for students and the syllabus of all these subjects are prepared by the CBSE Board itself.## Previous Year Question Papers for CBSE Class 10

Class 10 CBSE previous year question papers are regarded as a worthy learning resource for the students while preparing for their Class 10 board exams. By practicing these previous year question papers the students can easily get an idea about the topics important for the examination point of view.## CBSE Class 10 Syllabus

SpeedLabs team has separated out the Science syllabus for CBSE Class 10 and categorized it into Physics, Chemistry and Biology so that it can help as a foundation for later classes when it comes to understanding the individual subjectsMarks | Number of Questions |
---|---|

1 Mark | 06 |

2 Marks | 06 |

3 Marks | 10 |

4 Marks | 08 |

4 Marks | 08 |

Total | 30 |

## Exam Structure

Unit No. | Unit | 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 |

## Important Formulas in Algebra

Here is a list of Algebraic formulas –- a
^{2}– b^{2}= (a – b)(a + b) - (a + b)
^{2}= a^{2}+ 2ab + b^{2} - a
^{2}+ b^{2}= (a + b)^{2}– 2ab - (a – b)
^{2}= a^{2}– 2ab + b^{2} - (a + b + c)
^{2}= a^{2}+ b^{2}+ c^{2}+ 2ab + 2bc + 2ca - (a – b – c)
^{2}= a^{2}+ b^{2}+ c^{2}– 2ab + 2bc – 2ca - (a + b)
^{3}= a^{3}+ 3a^{2}b + 3ab^{2}+ b^{3}; (a + b)^{3}= a^{3}+ b^{3}+ 3ab(a + b) - (a – b)
^{3}= a^{3}– 3a^{2}b + 3ab^{2}– b^{3 }= a^{3}– b^{3}– 3ab(a – b) - a
^{3}– b^{3}= (a – b)(a^{2}+ ab + b^{2}) - a
^{3}+ b^{3}= (a + b)(a^{2}– ab + b^{2}) - (a + b)
^{4}= a^{4}+ 4a^{3}b + 6a^{2}b^{2}+ 4ab^{3}+ b^{4} - (a – b)
^{4}= a^{4}– 4a^{3}b + 6a^{2}b^{2}– 4ab^{3}+ b^{4} - a
^{4}– b^{4}= (a – b)(a + b)(a^{2}+ b^{2}) - a
^{5}– b^{5}= (a – b)(a^{4}+ a^{3}b + a^{2}b^{2}+ ab^{3}+ b^{4}) **If n is a natural number**a^{n}– b^{n}= (a – b)(a^{n-1}+ a^{n-2}b+…+ b^{n-2}a + b^{n-1})**If n is even**(n = 2k), a^{n}+ b^{n}= (a + b)(a^{n-1}– a^{n-2}b +…+ b^{n-2}a – b^{n-1})**If n is odd**(n = 2k + 1), a^{n}+ b^{n}= (a + b)(a^{n-1}– a^{n-2}b +a^{n-3}b^{2}…- b^{n-2}a + b^{n-1})- (a + b + c + …)
^{2}= a^{2}+ b^{2}+ c^{2}+ … + 2(ab + ac + bc + ….) **Laws of Exponents**(a^{m})(a^{n}) = a^{m+n}; (ab)^{m}= a^{m}b^{m }; (a^{m})^{n}= a^{mn}**Fractional Exponents**a^{0}= 1 ; aman=am−n ; am = 1a−m ; a−m = 1am