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.
Men needed to finish remaining work in fewer days
12 more men
📝 The English paper asks how many MORE men are needed (the Sinhala and Tamil papers ask how many men in all).
💡 What it's asking: Measure work in man-days (one man for one day). Find the work left, then share it over 4 days.
- 8 men for 5 days = 40 man-days, which is 1/3 of the job.
- Whole job = 120 man-days, so 80 man-days are left.
- To finish 80 man-days in 4 days: 80 ÷ 4 = 20 men.
- 8 men are already there, so 20 − 8 = 12 more men.
සිංහලෙන් විසඳුම
වැඩ මිනිස් දින වලින් (එක් මිනිසෙක් එක් දිනක්) මනින්න. ඉතිරි වැඩ සොයා දින 4 කට බෙදන්න.
- මිනිසුන් 8 දෙනා දින 5 ක් = මිනිස් දින 8 × 5 = 40; එය කාර්යයෙන් 1/3 කි.
- මුළු කාර්යය = මිනිස් දින 3 × 40 = 120; ඉතිරිය මිනිස් දින 80 (අනෙක් 2/3).
- මිනිස් දින 80 දින 4 කින් අවසන් කිරීමට: 80 ÷ 4 = මිනිසුන් 20.
- සිංහල පත්‍රය අසන්නේ මිනිසුන් කී දෙනෙක්ද: 20. ඉංග්‍රීසි පත්‍රය අසන්නේ තවත් කී දෙනෙක්ද: 20 − 8 = 12.
Logarithm from an index statement
2.3892
💡 What it's asking: lg means log to base 10. A log is just the power: if 10 to some power gives 245, that power is lg 245.
- The statement says 10 raised to 2.3892 equals 245.
- Rule: 10^p = N means lg N = p.
- So lg 245 = 2.3892.
✅ 245 is between 100 (lg = 2) and 1000 (lg = 3), so lg 245 should be between 2 and 3. It is.
සිංහලෙන් විසඳුම
lg යනු 10 පාදයේ ලඝුගණකයයි. ලඝුවක් යනු බලයයි: 10 හි යම් බලයක් 245 නම් එම බලය lg 245.
- ප්‍රකාශනය අනුව 10 හි 2.3892 බලය 245 ට සමානයි.
- නීතිය: 10^p = N නම් lg N = p.
- එබැවින් lg 245 = 2.3892.
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Surface Area and Volume · Pythagoras RelationshipSketch triangular face of prism from its rectangular faces
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Unknown angle in an arrowhead figure with isosceles triangles
x from a pair of simultaneous equations
Mark angle of depression and distance on a sketch
Number of outcomes in an event from its probability
Missing first term of three consecutive GP terms
Parallelograms I · TrianglesLength in a figure of parallelograms and equilateral triangle
Order and number of elements of a matrix product
Principal from simple interest over two years
Data Representation and PredictionTrue/false statements on quartiles of 15 scores
Midpoint Theorem · Chords of a CircleMidpoint theorem relations between OP and BC
Cylinder height from curved surface area
Locate point using angle bisector and perpendicular bisector loci
Chords of a Circle · Pythagoras RelationshipDistance from centre to a chord
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Percentages · PercentagesRates and rent of a house; hire purchase interest
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Probability · ProbabilityBus routes: grid sample space and tree diagram
Data Representation and Prediction · Data RepresentationHistogram with unequal class, frequency polygon; pie chart
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Graph of y = k - (x - a) squared from a table
Algebraic Fractions · EquationsSubtract algebraic fractions; simultaneous equations on prices
Semicircular ring area equals circle; solve quadratic
Trigonometry · Scale DiagramsBearings and distances with trig tables
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Daily flower vase sales increase as an AP
Construct tangents to a circle and find an angle
Cyclic Quadrilaterals · Tangents · Chords of a Circle · Angles in a CircleProve a cyclic quadrilateral and an angle sum in a circle
Flower growers Venn diagram extended with a third set
Parallelograms II · Congruency · Area of Plane Figures between Parallel Lines · Pythagoras' TheoremProve parallelogram, equal triangle areas and a Pythagoras relation
Volume of Solids · Surface Area and Volume · Indices and Logarithms IIPipe melted into spheres; formula and log evaluation
