O/L past papers › 2012
අ.පො.ස. (සා/පෙළ) ගණිතය 2012 ප්රශ්න පත්රය සහ පිළිතුරු
The G.C.E. O/L Mathematics 2012 paper (held December 2012): all 47 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.
Add two fractions with a common denominator
Answer: 3/5
💡 What it's asking: We are adding pieces of the same size (fifths), so just count the pieces.
✅ 3/5 is bigger than each fraction but less than 1. Sensible.
එකම ප්රමාණයේ (පස්වෙනි) කොටස් එකතු කරන නිසා කොටස් ගණන් කරන්න.
Solve a one-step linear equation
Answer: x = 5
💡 What it's asking: Two lots of x make 10, so one lot of x is half of 10.
✅ 2 × 5 = 10. Correct.
x දෙකක් එකතුව 10 නම් එක් x එකක් 10 න් අඩකි.
Base angle of an isosceles triangle
🔒 Answer & steps: try it free in Gedara Sir→Area of a rectangle
🔒 Answer & steps: try it free in Gedara Sir→Add two decimals
🔒 Answer & steps: try it free in Gedara Sir→Simplify by collecting like terms
🔒 Answer & steps: try it free in Gedara Sir→Number shown by tally marks
🔒 Answer & steps: try it free in Gedara Sir→Shade the intersection of two overlapping sets
🔒 Answer & steps: try it free in Gedara Sir→Write the inequality shown on a number line
🔒 Answer & steps: try it free in Gedara Sir→Convert grams to kilograms
🔒 Answer & steps: try it free in Gedara Sir→Triangle area as a fraction of a trapezium
🔒 Answer & steps: try it free in Gedara Sir→Product of two square roots
🔒 Answer & steps: try it free in Gedara Sir→Solve an index equation after multiplying powers
🔒 Answer & steps: try it free in Gedara Sir→Angles in a triangle cut by a line parallel to its base
🔒 Answer & steps: try it free in Gedara Sir→Fraction of students in a mark range from a histogram
🔒 Answer & steps: try it free in Gedara Sir→Tick true statements about multiplying by numbers above/below one
🔒 Answer & steps: try it free in Gedara Sir→Find a column matrix M from a matrix equation
🔒 Answer & steps: try it free in Gedara Sir→Angle using parallel lines and triangle angle sums
🔒 Answer & steps: try it free in Gedara Sir→Market price per share from investment and nominal value
🔒 Answer & steps: try it free in Gedara Sir→Make n the subject of the AP term formula
🔒 Answer & steps: try it free in Gedara Sir→Angle formed by extending sides of a regular hexagon
🔒 Answer & steps: try it free in Gedara Sir→Express lg x in terms of b
🔒 Answer & steps: try it free in Gedara Sir→Cone base radius from a quarter-circle net
🔒 Answer & steps: try it free in Gedara Sir→Shaded L-shape as a fraction of a square
🔒 Answer & steps: try it free in Gedara Sir→Angle at the centre from a chord and its perpendicular
🔒 Answer & steps: try it free in Gedara Sir→Remaining fill time after one tap is closed
🔒 Answer & steps: try it free in Gedara Sir→Angle from central angles and cyclic quadrilateral
🔒 Answer & steps: try it free in Gedara Sir→Value of a sum of squared ratios from their sum
🔒 Answer & steps: try it free in Gedara Sir→Sketch loci to place a tree near two walls
🔒 Answer & steps: try it free in Gedara Sir→Positive integers satisfying two equations
🔒 Answer & steps: try it free in Gedara Sir→Simplify a mixed-fraction expression; electricity bill by tiered unit rates
🔒 Answer & steps: try it free in Gedara Sir→Garden of rectangle plus semicircle with surrounding path: areas, plan, tiles
🔒 Answer & steps: try it free in Gedara Sir→School ratio of girls to boys, change in ratio; simple interest loan
🔒 Answer & steps: try it free in Gedara Sir→Tree diagram for a rotating wheel; probability with a die and coin
🔒 Answer & steps: try it free in Gedara Sir→Stem-and-leaf: range, median; grouped table, midpoints, frequency polygon
🔒 Answer & steps: try it free in Gedara Sir→Selling price with profit; new cost price; percentage rise; rates percentage
🔒 Answer & steps: try it free in Gedara Sir→Graph of y=6-(x+1)^2: max, axis, interval y>2, roots, new function
🔒 Answer & steps: try it free in Gedara Sir→Equation with algebraic fractions; wire rectangle gives a quadratic, solve
🔒 Answer & steps: try it free in Gedara Sir→Angle of depression and height by trig ratios; bearings sketch, scale, bearing
🔒 Answer & steps: try it free in Gedara Sir→Ice cream and yoghurt prices from simultaneous equations; difference of squares factorising
🔒 Answer & steps: try it free in Gedara Sir→Cylinder minus hemisphere equals four spheres; log-table simplification
🔒 Answer & steps: try it free in Gedara Sir→Heights of cone figures as an AP; wire needed; GP first term
🔒 Answer & steps: try it free in Gedara Sir→Construct right triangle, angle bisector, inscribed-type circle, tangent; area ratio
🔒 Answer & steps: try it free in Gedara Sir→Grouped brick production: modal class, mean, test an order, extra days
🔒 Answer & steps: try it free in Gedara Sir→Venn diagram of book types: shade, count, fraction, probability
🔒 Answer & steps: try it free in Gedara Sir→Square with right angle at midpoint: congruence, equal angles, similar triangles, lengths
🔒 Answer & steps: try it free in Gedara Sir→Cyclic quadrilateral: congruent triangles, equal angles, midpoint theorem result
🔒 Answer & steps: try it free in Gedara Sir→