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Grade 10 Math, Explained

CDC’s Compulsory Mathematics for Grade 10, unit by unit: every method worked step by step, every exercise question answered, and how the SEE asks it.

Start reading: Unit 1 · Sets →

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  1. Unit 1 Sets Add Nepal’s households with mobile phones to those with smartphones: you get more than all its households. How do you count without counting twice? Sets  
  2. Unit 2 Compound Interest A family saves Rs 1,00,000 of remittance for ten years: what does it really become? And why does an unpaid loan at 12% double in about six years? Arithmetic  
  3. Unit 3 Growth and Depreciation Nepal grew 10.08% in ten years: was that 1% a year? Is a car losing 20% a year worthless after five? One repeated percentage answers both. Arithmetic  
  4. Unit 4 Currency and Exchange Rate The same $500 sent home brought Rs 53,000 in 2016 and Rs 76,000 in 2026. What does a bank keep, and who gains when the rupee falls? Arithmetic  
  5. Unit 5 Area and Volume Why does a pyramid hold exactly a third of its box? Measure tanks, tents and roofs, and price the paint or canvas before you buy. Mensuration  
  6. Unit 6 Sequence and Series A basketball dropped from 1.8 m bounces lower each time, and keeps on bouncing: does it travel for ever? And how can you add 1 to 100 in seconds? Algebra  
  7. Unit 7 Quadratic Equation A ball rolls into the road 25 m ahead: how fast can a car be going and still stop in time? When the unknown is squared, three ways to find it. Algebra  
  8. Unit 8 Algebraic Fraction A bus climbs at 30 km/h and comes back down at 60: why is its average 40, not 45, however long the road? Fractions with letters give the answer. Algebra  
  9. Unit 9 Indices How old is charcoal that has a sixteenth of a living tree’s carbon-14? When the unknown is the power, and what powers like 2⁰ and 2⁻¹ really mean. Algebra  
  10. Unit 10 Triangle and Quadrilaterals How do two farmers straighten a bent boundary without either losing land? Why figures on one base, between the same parallels, have equal areas. Geometry  
  11. Unit 11 Construction With a ruler and a compass alone, how do you redraw a four-sided plot as a triangle of exactly the same area? Equal areas, step by step. Geometry  
  12. Unit 12 Circle Where can a photographer stand so a row of students just fills the picture? On a whole arc, since a circle keeps its angles wherever you stand. Geometry  
  13. Unit 13 Statistics The SEE results come only as counts in GPA bands. So what GPA sat exactly in the middle, and what did the top quarter get? Statistics and probability  
  14. Unit 14 Probability India lost 20 cricket tosses in a row: bad luck or a bent coin? When to add chances, when to multiply, and what changes if a ball isn’t put back. Statistics and probability  
  15. Unit 15 Trigonometry Is the Nyatapola 30 m tall or 33 m? You can settle it from the square: one distance and one angle give any height you can’t climb. Trigonometry  

Practice

How to use this book

Each unit covers its part of the curriculum in the order of CDC’s textbook, whose page numbers are under each unit’s title; whichever book your school uses, you can read it alongside. Inside you’ll find:

  • Worked examples: try them first; the answer stays hidden until you open it.
  • Try it questions and each unit’s questions at the end, with hints and answers to open when you’re ready.
  • Diagrams to play with: drag, slide and change things to see what happens.
  • Did you know? boxes with the stories and surprises behind the maths.

A companion to your textbook by Science Playground, not published by or connected with CDC, and not a replacement for the textbook: study from the book your school uses, and where the two differ, follow your teacher. Every fact here has been checked against the textbook and other reliable sources, but these pages have not yet been reviewed by subject experts. If you find a mistake, please tell us.