O/L past papers › 2025

O/L Maths 2025 Paper

English medium · held 2026

All 42 questions from Paper I and Paper II, with what each one tests. Try any of them free in Gedara Sir to check your answer, with step-by-step working.

Most marks in 2025 came from

Paper I, Part A

Paper I Part A Q1 · 2 marks

Percentages

Value of an import after a percentage customs duty

Paper I Part A Q1: Value of an import after a percentage customs duty

Answer: Rs 68,400

💡 What it's asking: A duty is an extra charge worked out as a percentage of the price. Find the extra amount, then add it on.

  1. 1Find 1% of 60 000: 60 000 ÷ 100 = 600.
  2. 2Find 14%: 600 × 14 = 8400. This is the duty.
  3. 3Add it to the starting value: 60 000 + 8400 = Rs 68 400.

✅ 14% is a bit more than 10% (6000), so the answer should be a little more than 66 000, and 68 400 fits.

සිංහලෙන් විසඳුම

බද්දක් යනු මිලේ ප්‍රතිශතයක් ලෙස ගණනය කරන අමතර ගාස්තුවකි. අමතර මුදල සොයා එය එකතු කරන්න.

  1. 60 000 න් 1% සොයන්න: 60 000 ÷ 100 = 600.
  2. 14% සොයන්න: 600 × 14 = 8400. මෙය බද්දයි.
  3. මුල් වටිනාකමට එකතු කරන්න: 60 000 + 8400 = රු. 68 400.

Paper I Part A Q2 · 2 marks

Triangles

Apex angle of an isosceles triangle from an exterior angle

Paper I Part A Q2: Apex angle of an isosceles triangle from an exterior angle

Answer: 80°

💡 What it's asking: The 130° is outside the triangle. Turn it into the inside angle, then use the equal sides.

  1. 1At B the straight line makes 180°, so the inside angle is 180° − 130° = 50°.
  2. 2Sides CA and CB are equal, so the angles at A and B are equal: both 50°.
  3. 3Angles in a triangle add to 180°: 180° − 100° = 80°.

✅ 50° + 50° + 80° = 180°, so it works.

සිංහලෙන් විසඳුම

130° ත්‍රිකෝණයෙන් පිටත ඇත. එය ඇතුළත කෝණයක් බවට පත් කර සමාන පාද භාවිත කරන්න.

  1. B හි සරල රේඛාව 180° නිසා ඇතුළත කෝණය 180° − 130° = 50°.
  2. CA සහ CB සමාන නිසා A සහ B හි කෝණ සමානයි: දෙකම 50°.
  3. ත්‍රිකෝණයක කෝණ එකතුව 180°: 180° − 100° = 80°.

Paper I, Part B

Paper II, Part A

Paper II, Part B

Paper II Part B Q10 · 10 marks

Parallelograms II · Congruency · Midpoint Theorem · Equiangular Triangles

Square with midpoints: rectangle, congruent triangles, midpoint theorem, equiangular triangles

Paper II Part B Q10: Square with midpoints: rectangle, congruent triangles, midpoint theorem, equiangular triangles🔒 Answer & steps: try it free in Gedara Sir→