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.
Price of one item from the price of three

Rs. 24
💡 What it's asking: If you know the price of 3 oranges, the price of 1 is the total shared equally by 3.
- 3 oranges cost Rs. 72.
- Share by 3: 72 ÷ 3 = 24.
- One orange costs Rs. 24.
✅ 3 × 24 = 72. ✓
සිංහලෙන් විසඳුම
දොඩම් 3 ක මිල දන්නා විට එකක මිල යනු මුළු මිල 3 න් සමව බෙදීමයි.
- දොඩම් 3 ක මිල රු. 72.
- 3 න් බෙදන්න: 72 ÷ 3 = 24.
- එක් දොඩමක මිල රු. 24.
Angles Related to Straight Lines and Parallel Lines · TrianglesAngle in a triangle using parallel lines

x = 40
💡 What it's asking: Use angles on a straight line, then the parallel lines (alternate angles), then the angle sum of triangle ABC.
- On the straight line AD: EBA = 180 − 120 = 60°.
- AC ∥ EB with AB crossing them, so CAB = ABE = 60° (alternate angles, the 'Z' shape).
- In triangle ABC: x = 180 − 60 − 80 = 40°.
✅ 60 + 80 + 40 = 180. ✓
සිංහලෙන් විසඳුම
සරල රේඛාවක කෝණ, ඉන්පසු සමාන්තර රේඛා (ඒකාන්තර කෝණ), ඉන්පසු ABC ත්රිකෝණයේ කෝණ එකතුව යොදන්න.
- AD සරල රේඛාව මත: EBA = 180 − 120 = 60°.
- AC ∥ EB සහ AB ඒවා කපයි; CAB = ABE = 60° (ඒකාන්තර කෝණ, 'Z' හැඩය).
- ABC ත්රිකෝණයේ: x = 180 − 60 − 80 = 40°.
Algebraic Fractions · EquationsSolve an equation with algebraic fractions

Speed of a car and distance in a longer time

Write a shaded Venn region in set notation

Write a logarithm statement in index form

Add surds after simplifying

Base angle using reflex centre angle

Probability of drawing a prime-numbered card

Common difference from first and seventh terms

Find x from its square root, then evaluate
Surface Area and Volume · Liquid MeasurementsVolume of water in a cylinder in millilitres

Equation of a line from its intercepts

Angle with a diameter and an isosceles triangle

True or false: angles of elevation and depression

Base radius of a cone made from a quarter sector
Factors of Quadratic ExpressionsFactorise a quadratic trinomial

Choose the figure not necessarily a parallelogram

Multiply two algebraic fractions
Area of Plane Figures between Parallel LinesTriangle area from parallelograms on the same base

Complete the square for x^2 - 12x

Sale value from pie chart sector angles
Least Common Multiple of Algebraic ExpressionsLeast common multiple of three algebraic terms
Angles in a Circle · Angles Related to Straight Lines and Parallel LinesAngle using centre angle and parallel lines
Constructions · Loci and ConstructionsPoint equidistant from two lines and two points

Fractions of money invested; total from remaining amount

Quadrant decoration: arc, segment area, perimeter, button spacing

Rates, income tax and spending on food

Pie chart of employee ages; meal costs

Two draws with replacement: grid, tree, comparing probabilities
Percentages · Percentages · FractionsBuilding houses for profit versus a fixed deposit

Graph of y = 7 - 2x^2; roots and a shifted graph
Equations · Algebraic FractionsSimultaneous equations for guavas and children; divide fractions

Lamina area gives a quadratic; solve for x

Milk packets sold: modal class, mean by assumed mean, cost

Jet observes two boats: scale drawing, distance, speed

Water released per minute as an arithmetic progression
Constructions · Loci and Constructions · Angles in a CircleConstruct right angle on a diameter; parallel line; same segment
Midpoint Theorem · Area of Plane Figures between Parallel LinesTrapezium midline equals half the sum; area relation
Angles in a Circle · TrianglesAngles from intersecting chords produced outside a circle

Find n(B) from given counts; Venn diagram for two sports
Volume of Solids · Formulae · Indices and Logarithms IISphere minus cone sunk in a cylinder; radius by logs
