Western Province, Grade 11 Mathematics, term 1, 2026. All 42 questions, with what each one tests. Try any of them free in Gedara Sir to check your answer, with step-by-step working in English and Sinhala.
Annual rates at 7% of an assessed value
Rs. 1260
💡 What it's asking: Rates are a yearly tax that is a percentage of the property's assessed value. Here we need 7% of Rs. 18 000.
- Write 7% as a fraction: 7/100.
- Multiply by the assessed value: 18 000 × 7/100.
- 18 000 ÷ 100 = 180, and 180 × 7 = 1260. So the rates are Rs. 1260 a year.
✅ 10% of 18 000 is 1800, so 7% must be a bit less, and 1260 is. (The marking scheme prints a different number by mistake.)
සිංහලෙන් විසඳුම
වරිපනම යනු දේපළේ තක්සේරු වටිනාකමෙන් ප්රතිශතයක් ලෙස වසරකට ගෙවන බද්දකි. මෙහි රු. 18 000 න් 7% සොයන්න.
- 7% භාගයක් ලෙස ලියන්න: 7/100.
- තක්සේරු වටිනාකමෙන් ගුණ කරන්න: 18 000 × 7/100.
- 18 000 ÷ 100 = 180, 180 × 7 = 1260. එබැවින් වරිපනම වසරකට රු. 1260.
Base angle of an isosceles triangle with apex 40 degrees
x = 35 degrees
💡 What it's asking: AB = AC, so the triangle is isosceles and the two base angles are equal. Write the angle sum with x and solve.
- AB = AC, so angle B = angle C. Each is 2x.
- Angle sum: 2x + 2x + 40 = 180.
- 4x = 140, so x = 35.
✅ Each base angle is 2 × 35 = 70°, and 70 + 70 + 40 = 180.
සිංහලෙන් විසඳුම
AB = AC නිසා ත්රිකෝණය සමද්විපාද වන අතර පාද කෝණ දෙක සමානයි. x සහිතව කෝණ එකතුව ලියා විසඳන්න.
- AB = AC නිසා B = C කෝණ. එක එකක් 2x.
- කෝණ එකතුව: 2x + 2x + 40 = 180.
- 4x = 140; එබැවින් x = 35.
Least common multiple of two algebraic terms
Fraction of a distance in kilometres
Arc length of a 45 degree sector
Data Representation and PredictionRange of a small data set
Angles Related to Straight Lines and Parallel Lines · TrianglesAngle using parallel lines and a triangle
Divide two algebraic fractions
Price after adding customs duty
Unknown angle from two triangles with vertically opposite angles
Find base and value of a logarithm of 16
Size of sample space from a probability
Reflex angle at the centre using a perpendicular to a chord
Gradient of a line through two points
Curved surface area of a cylinder
Angles in a Circle · Angles Related to Straight Lines and Parallel LinesAngle between chords using parallel chords and same-segment angles
Integers either side of a square root
Factors of Quadratic ExpressionsFactorise a quadratic trinomial
Volume of a triangular prism
Distance from uniform speed and time
Equations · Algebraic FractionsSolve an equation with algebraic fractions
Add two algebraic fractions
Angle in a semicircle and angle at the centre
Parallelograms I · TrianglesAngle in a parallelogram with a perpendicular
Locus equidistant from two intersecting lines
Fractions of a journey by train, bus and three-wheeler; bus speed
Simple interest on a loan, required lending rate, VAT reversed
Semicircular plot with a rectangle: arc, perimeter, area, equal-area rectangle
Grid sample space with replacement; tree diagram for guessing answers
Complete a pie-chart table using ratio and draw the pie chart
Graph of y = x^2 - 5: turning point, increasing region, shifted graph
Indices and Logarithms I · Logarithms IFractional index; log equation; express lg 20 using lg 2, lg 5
Equations · Inverse ProportionMan-days problem leading to a quadratic equation
Volume of Solids · Formulae · Logarithms IICube melted into two cones: height formula; log table calculation
Equations · Binomial ExpressionsSimultaneous equations for two journeys; cube of a binomial
Mean rice sold from grouped data; test a prediction
Arithmetic progression from nth term: terms, 15th term, terms for given sum
Constructions · Loci and ConstructionsConstruct a triangle with a 120 degree angle, a perpendicular, find area
Parallelograms I · TrianglesParallelogram with a midpoint: equilateral and right-angled triangles
Angles in a Circle · CongruencyTwo circles: collinear points, equal segments, equal angles in segments
Find an unknown from union probability and show independence
Scale drawing of a pole with elevation angle; find height and angle
