Course module
Section 3 | संख्या पद्धति एवं अंकगणित / Number System & Arithmetic — BPSC TRE 4.0 TGT Mathematics (कक्षा 9–10)
विषय भाग (80 प्रश्न): माध्यमिक शिक्षक स्तर पर उपलब्ध टॉपिक-वार MCQ अभ्यास। / Topic-wise MCQ practice for the secondary-teacher subject section (80 questions). संख्याएँ, भिन्न, परिमेय संख्याएँ, घात, अनुपात और व्यावहारिक अंकगणित। / Numbers, fractions, rational numbers, powers, ratios and applied arithmetic.
Explore the module outline and lessons below. Enroll free to begin studying here.
Return to /learn/BPSC-TRE-4-SECONDARY-TEACHER-CLASS-9-10-MATHEMATICS/subject-numbers-arithmetic after enrolling
- Lessons
- 69
- Duration
- —
- PYQs
- 35
- Practice
- 612
10% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
Number System
Factors, Multiples & Prime Factorization
- [Notes] Short Tricks to Find Number & Product of FactorsPdf
- [Notes] Tricky Important Questions on Finding Product of FactorsPdf
- [Notes] Short Tricks to Find Number of Odd & Even FactorsPdf
- [Notes] Tricks To Find Sum of Factors & Sum of Odd & Even FactorsPdf
- [Notes] Finding those Factors of 'P' which are divisible by 'Q'Pdf
Concept of Remainders
Unit Digit & Last Digit Concepts
Perfect Squares, Perfect Cubes, Power, Square Root and Patterns
Divisibility Rules
Basic Concepts of Divisibility
Divisibility Rules for all Numbers
- [Notes] Divisibility Rules of 2, 3 and 4Pdf
- [Notes] Divisibility Rules of 5, 6 and 7Pdf
- [Notes] Divisibility Rules of 8, 9, 10 and 11Pdf
- [Notes] Divisibility Rules of 11, 12 and 13Pdf
- [Notes] Amazing Short Trick for Divisibility of 7 and 13Pdf
- [Notes] All Divisibility Rules of 13 in a single videoPdf
- [Notes] Divisibility Rules of 14 and 15Pdf
- [Notes] Divisibility Rules of 16Pdf
- [Notes] Divisibility Rules of 17 and 18Pdf
- [Notes] Divisibility Rules of 19Pdf
- [Notes] Divisibility Rules of 20, 21, 22 and 23Pdf
- [Notes] Divisibility Rules of 24, 25 and 26Pdf
- [Notes] Divisibility Rules of 27Pdf
- [Notes] Divisibility Rules of 28, 29, 30 and 31Pdf
- [Notes] Divisibility Rules of 37, 41 and 43Pdf
- [Notes] Short Trick to remember divisibility rules from 11 to 50Pdf
- [Notes] Divisibility Rules of Important Numbers From 31 to 1000Pdf
Mathematics Problems on Divisibility
Properties of Divisibility
Division and Remainder-Based Problems
Multiple Topics
HCF LCM
Finding HCF
- [Notes] Tricks for HCF by Inspection, HCF by Prime FactorizationPdf
- [Notes] Trick to find HCF by Long Division MethodPdf
- [Notes] Short Trick to find HCF by minimum difference methodPdf
- [Notes] Short Trick to find HCF by using smallest elementPdf
- [Notes] An Important Property of HCF & LCM + Practice QuestionPdf
- [Notes] How to find HCF Quickly with the help of given optionsPdf
- [Notes] Short Trick to find HCF of Big NumbersPdf
- [Notes] Short Trick to find HCF of more than 2 numbersPdf
- [Notes] Short Trick to find HCF using Co-Prime Numbers ConceptPdf
HCF and LCM of Fractions and Decimals
Basic Concepts: Factors, Multiples, Prime & Composite Numbers
Finding LCM
- [Notes] What is a multiple What is LCM Find LCM by inspectionPdf
- [Notes] Short Trick to Find LCM in just 5 secondsPdf
- [Notes] Short Trick to find LCM using Division methodPdf
- [Notes] Short Trick to find LCM using Prime FactorizationPdf
- [Notes] Short Trick to find LCM using Co-Prime Numbers ConceptPdf
- [Notes] Short Trick to find LCM of more than 2 numbersPdf
- [Notes] Short Trick to find LCM of big numbersPdf
- [Notes] Short Trick to find LCM of 2 numbers when HCF is givenPdf
Multiple Topics
Powers and Exponents (Surds and Indices)
Laws of Surds & Simplification
Rationalization of Surds
Comparing & Simplifying Complex Powers
Multiple Topics
Previous-year questions
PYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions6 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions7 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions4 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions7 questionsPYQ collectionPYQ Questions35 questions
Explore the course
Previous moduleSection 3 | बीजगणित, बहुपद एवं अनुक्रम / Algebra, Polynomials & ProgressionsNext moduleSection 3 | त्रिकोणमिति एवं लघुगणक / Trigonometry & Logarithms
- Section 1 | हिंदी भाषा — 22 प्रश्न (निश्चित)
- Section 1 | उर्दू भाषा — 22 प्रश्न (निश्चित)
- Section 1 | বাংলা / बांग्ला भाषा — 22 प्रश्न (निश्चित)
- Section 1 | English Language — 8 प्रश्न (निश्चित, अनिवार्य)
- Section 2 | गणित एवं तार्किक क्षमता / Mathematics & Reasoning (GS)
- Section 2 | बिहार विशेष / Bihar GK
- Section 2 | सामान्य विज्ञान / General Science (GS)
- Section 2 | सामान्य ज्ञान एवं समसामयिकी / GK & Current Affairs
- Section 3 | ज्यामिति एवं क्षेत्रमिति / Geometry & Mensuration
- Section 3 | बीजगणित, बहुपद एवं अनुक्रम / Algebra, Polynomials & Progressions
- Section 3 | त्रिकोणमिति एवं लघुगणक / Trigonometry & Logarithms
- Section 3 | सांख्यिकी, प्रायिकता एवं गणित का इतिहास / Statistics, Probability & Mathematical History
- Section 3 | निर्देशांक ज्यामिति / Coordinate Geometry