O/L past papers › 2022
අ.පො.ස. (සා/පෙළ) ගණිතය 2022 ප්රශ්න පත්රය සහ පිළිතුරු
The G.C.E. O/L Mathematics 2022 paper (held 2023): 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.
Workers needed to finish a job in fewer days
Answer: 16 men
💡 What it's asking: Count the job in man-days, then share it over 3 days.
✅ 16 men × 3 days = 48 man-days. Same job.
කාර්යය මිනිස් දිනවලින් ගණන් කර දින 3 කට බෙදන්න.
Solve an equation with algebraic fractions
Answer: x = 2
💡 What it's asking: Make the two fractions on the left share a bottom, combine them, then compare with 1/12.
✅ x = 2: 1/4 − 1/6 = 3/12 − 2/12 = 1/12.
වම් පස භාග දෙකට පොදු හරයක් දී එකතු කර 1/12 සමඟ සසඳන්න.
Exterior angle of a right isosceles triangle
🔒 Answer & steps: try it free in Gedara Sir→Area of a sector with a given angle
🔒 Answer & steps: try it free in Gedara Sir→Angle in a cyclic quadrilateral with an isosceles triangle
🔒 Answer & steps: try it free in Gedara Sir→Ratio of two pie-chart sectors
🔒 Answer & steps: try it free in Gedara Sir→Midpoint segment length from a triangle perimeter
🔒 Answer & steps: try it free in Gedara Sir→Write an index statement in logarithm form
🔒 Answer & steps: try it free in Gedara Sir→Probability one of two brothers arrives first
🔒 Answer & steps: try it free in Gedara Sir→Angle using a diameter and angles in the same segment
🔒 Answer & steps: try it free in Gedara Sir→Cylinder height from its curved surface area
🔒 Answer & steps: try it free in Gedara Sir→Shade A intersect B-complement for nested sets
🔒 Answer & steps: try it free in Gedara Sir→Side from a cosine ratio in a right triangle
🔒 Answer & steps: try it free in Gedara Sir→Exterior angle of a cyclic quadrilateral using the centre angle
🔒 Answer & steps: try it free in Gedara Sir→Simplify a product of algebraic fractions
🔒 Answer & steps: try it free in Gedara Sir→Choose the congruency case for two triangles
🔒 Answer & steps: try it free in Gedara Sir→LCM of three algebraic terms
🔒 Answer & steps: try it free in Gedara Sir→Distance from a chord's midpoint to the circle using Pythagoras
🔒 Answer & steps: try it free in Gedara Sir→Factorise a trinomial quadratic expression
🔒 Answer & steps: try it free in Gedara Sir→Thirteenth term of a geometric progression as a power
🔒 Answer & steps: try it free in Gedara Sir→Radius of a cylinder with four times the volume
🔒 Answer & steps: try it free in Gedara Sir→Equation of a line from intercept and a point
🔒 Answer & steps: try it free in Gedara Sir→Compare a sum of surds with 5
🔒 Answer & steps: try it free in Gedara Sir→Solve a difference-of-squares quadratic
🔒 Answer & steps: try it free in Gedara Sir→Locate a point equidistant from A and B, 5 cm from C
🔒 Answer & steps: try it free in Gedara Sir→Fractions of a container's capacity with juice and water
🔒 Answer & steps: try it free in Gedara Sir→Rectangle with a semicircle: radius, perimeter, area, equal-area rectangle
🔒 Answer & steps: try it free in Gedara Sir→Customs duty, unit cost, selling price for profit, rates percentage
🔒 Answer & steps: try it free in Gedara Sir→Choosing two players: grid sample space and a tree for winning
🔒 Answer & steps: try it free in Gedara Sir→Histogram to table; ogive; readings from the curve
🔒 Answer & steps: try it free in Gedara Sir→Compare compound interest with share dividends plus sale
🔒 Answer & steps: try it free in Gedara Sir→Graph of a quadratic; decreasing interval; vertex form; estimate √5
🔒 Answer & steps: try it free in Gedara Sir→Ring area gives a quadratic; solve by completing the square; circumference
🔒 Answer & steps: try it free in Gedara Sir→Height of a tree from a kite string; Amal's elevation angle; who is closer
🔒 Answer & steps: try it free in Gedara Sir→Simultaneous equations for bat and ball prices; buy with a ratio
🔒 Answer & steps: try it free in Gedara Sir→Mean trip distance; fuel efficiency needed; saving by cycling
🔒 Answer & steps: try it free in Gedara Sir→AP of students in rows: terms, nth term, find n, sum check
🔒 Answer & steps: try it free in Gedara Sir→Construct a circle, chord, bisectors and a tangent; prove parallel
🔒 Answer & steps: try it free in Gedara Sir→Cyclic quadrilateral kite: tangent parallel, angle bisector, diameter
🔒 Answer & steps: try it free in Gedara Sir→Spheres submerged in a prism raise the water; formula and logs
🔒 Answer & steps: try it free in Gedara Sir→Parallelogram extension: congruent triangles, two parallelograms, equal areas
🔒 Answer & steps: try it free in Gedara Sir→Three-set Venn diagram with a subset on fuel use
🔒 Answer & steps: try it free in Gedara Sir→