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O/L Maths 2019 Paper with Answers

අ.පො.ස. (සා/පෙළ) ගණිතය 2019 ප්‍රශ්න පත්‍රය සහ පිළිතුරු

The G.C.E. O/L Mathematics 2019 paper (held December 2019): all 42 questions from Paper I and Paper II, with what each question tests. Try any question free in Gedara Sir to check your answer and see step-by-step working in English and Sinhala.

Most marks in 2019 came from

Paper I, Part A

Paper I Part A Q1 · 2 marks

Percentages

Customs duty as a percentage of an item's value

Paper I Part A Q1: Customs duty as a percentage of an item's value

Answer: Rs 540

💡 What it's asking: The duty is just 9% of the value.

  1. 11% of 6000 is 60.
  2. 29% is 9 × 60.
  3. 39 × 60 = Rs 540.

✅ 10% would be 600, so 9% should be a little less: 540 fits.

සිංහලෙන් විසඳුම

බද්ද යනු වටිනාකමෙන් 9% පමණි.

  1. 6000 න් 1% = 60.
  2. ගණනය: 9% = 9 × 60.
  3. 9 × 60 = රු. 540.

Paper I Part A Q2 · 2 marks

Factors of Quadratic Expressions

Factorise a monic trinomial

Paper I Part A Q2: Factorise a monic trinomial

Answer: (x + 5)(x - 2)

💡 What it's asking: We need two numbers that multiply to −10 and add to 3; they go into the brackets.

  1. 1Pairs for −10: (10, −1), (−10, 1), (5, −2), (−5, 2).
  2. 2Only 5 and −2 add to 3.
  3. 3So x² + 3x − 10 = (x + 5)(x − 2).

✅ Expand: x² − 2x + 5x − 10 = x² + 3x − 10. Correct.

සිංහලෙන් විසඳුම

ගුණිතය −10 ද එකතුව 3 ද වන සංඛ්‍යා දෙකක් අවශ්‍යයි; ඒවා වරහන්වලට යයි.

  1. −10 සඳහා යුගල: (10, −1), (−10, 1), (5, −2), (−5, 2).
  2. එකතුව 3 වන්නේ 5 සහ −2 පමණි.
  3. එබැවින් x² + 3x − 10 = (x + 5)(x − 2).

Paper I, Part B

Paper II, Part A

Paper II, Part B