BPSC TRE-4 Elementary Mathematics Syllabus

प्रारंभिक गणित

15 chapters · 39 topics · Middle (Class 6–8). Every topic below is written and published — chapters with nothing in them aren't listed.

1. 1. Percentage

   1 topics

   प्रतिशत

   • Percentage

2. 2. Profit & Loss

   1 topics

   लाभ और हानि

   • Profit & Loss

3. 3. Simple & Compound Interest

   1 topics

   साधारण एवं चक्रवृद्धि ब्याज

   • Simple & Compound Interest

4. 4. Time & Work

   1 topics

   समय और कार्य

   • Time & Work

5. 5. Ratio & Proportion

   1 topics

   अनुपात एवं समानुपात

   • Ratio & Proportion

6. 6. Age Problems

   1 topics

   आयु संबंधी प्रश्न

   • Age Problems

7. 7. Number System

   1 topics

   संख्या पद्धति

   • Number System

8. 8. Partnership

   1 topics

   साझेदारी

   • Partnership

9. 9. Speed, Time & Distance

   1 topics

   चाल, समय एवं दूरी

   • Speed, Time & Distance

10. 10. Mixture & Alligations

    1 topics

    मिश्रण एवं एलीगेशन

    • Mixture & Alligations

11. 11. Average

    1 topics

    औसत

    • Average

12. 12. Algebra

    1 topics

    बीजगणित

    • Algebra

13. 13. Mensuration

    1 topics

    क्षेत्रमिति

    • Mensuration

14. 14. Geometry

    1 topics

    ज्यामिति

    • Geometry

15. 15. Universal Shorts

    25 topics

    सार्वभौमिक शॉर्ट्स

    • Percentage — The 5 Shortcuts That Cover Most Questions
    • Speed, Time and Distance — One Formula, Six Question Types
    • Ratio and Proportion — One Idea Behind Sharing, Partnership and Ages
    • Simple vs Compound Interest — Every Formula and the Difference Trick
    • Profit, Loss and Discount — Every Formula and the Successive-Change Trap
    • Time & Work — The LCM Method, Efficiency and Pipes & Cisterns
    • Mensuration — 2D Areas, 3D Volumes and the Surface-Area Traps
    • Number System — Divisibility Rules, HCF × LCM, Unit Digit and the Factor-Count Formula
    • Average and Alligation — The Weighted Average Shortcut and the Cross Method
    • Geometry — Angle Rules, Pythagorean Triplets, the Four Centres and the Circle Facts Papers Reuse
    • Algebra — VBODMAS, Surds and Indices, and the Identities That Do the Work For You
    • Statistics — Mean, Median, Mode and Range, with the Correction Formulas
    • Trigonometry — Ratios, Identities and Heights & Distances: One Right Triangle Answers Everything
    • Age Problems — One Variable, One Table, and the Four Formulas Worth Memorising
    • Coordinate Geometry — Six Formulas That Answer Almost Every Question in the Chapter
    • Progressions — Six Formulas That Answer the Whole AP and GP Chapter
    • Simplification and Approximation — The Calculation Shortcuts That Buy You Ten Extra Minutes
    • Trains, Boats & Streams: The Add-or-Subtract Rule for Relative Speed
    • Quadratic Equations: Roots, Discriminant and the Sum-Product Shortcuts
    • Replacement and Repeated Dilution: The (1 − x/n)^k Formula
    • Simple and Compound Interest: SI–CI Difference, Half-Yearly Compounding and Doubling Shortcuts
    • Races and Circular Tracks: Head Starts, Meeting Points and the Lap Formulas
    • Pair of Linear Equations: Consistency Conditions, Elimination and the Digit, Fraction and Age Setups
    • Mensuration of Solids: Melting, Recasting and the Volume-Conserved Rule for Cylinder, Cone and Sphere
    • Remainders, the Minus-One Trick, Casting Out Nines and Binary-Decimal Conversion