Central Province, Grade 11 Mathematics, term 1, 2024. 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.
Value of an imported item after adding customs duty
Rs. 70 000
💡 What it's asking: Customs duty is a tax added on top of the item's value. Find 40% of Rs. 50 000 and add it to the value.
- Write 40% as a fraction: 40/100.
- Find the duty: 50 000 × 40/100 = Rs. 20 000.
- Add the duty to the original value: 50 000 + 20 000 = Rs. 70 000.
✅ Adding 40% is the same as multiplying by 1.4, and 50 000 × 1.4 = 70 000.
සිංහලෙන් විසඳුම
තීරු බද්ද යනු භාණ්ඩයේ වටිනාකමට එකතු වන බද්දකි. රු. 50 000 න් 40% සොයා එය වටිනාකමට එකතු කරන්න.
- 40% භාගයක් ලෙස ලියන්න: 40/100.
- තීරු බද්ද සොයන්න: 50 000 × 40/100 = රු. 20 000.
- බද්ද මුල් වටිනාකමට එකතු කරන්න: 50 000 + 20 000 = රු. 70 000.
Subtract two algebraic fractions with unlike denominators
1/(8x)
💡 What it's asking: You can only subtract fractions when their bottoms (denominators) are the same. So first make both denominators 8x.
- The smallest expression both 8x and 4x divide into is 8x (the LCM, least common multiple).
- Change 1/(4x): multiply top and bottom by 2 to get 2/(8x).
- Now subtract the tops: 3/(8x) − 2/(8x) = 1/(8x).
✅ Try x = 1: 3/8 − 1/4 = 3/8 − 2/8 = 1/8, which matches 1/(8x).
සිංහලෙන් විසඳුම
භාග අඩු කළ හැක්කේ හරයන් සමාන වූ විට පමණි. එබැවින් මුලින්ම හර දෙකම 8x බවට පත් කරන්න.
- 8x හා 4x දෙකම බෙදෙන කුඩාම ප්රකාශනය (කු.පො.ගු.) 8x වේ.
- 1/(4x) හි ලවය හා හරය 2 න් ගුණ කර 2/(8x) ලෙස ලියන්න.
- දැන් ලව අඩු කරන්න: 3/(8x) − 2/(8x) = 1/(8x).
Exterior angle of an isosceles triangle
Shade complement of A intersect B on a Venn diagram
First approximation of a square root from a table of squares
Rewrite a logarithm statement in index form
Chords of a Circle · Pythagoras RelationshipChord length from radius and distance; equal chords
Factors of Quadratic ExpressionsFactorise a quadratic trinomial
Area of a sector with given radius and angle
Equation of a line from its graph
Mean words per line from two group totals
Give reasons in a congruence proof with concentric circles
Total balls in a bag from a probability and a range
True or false statements on parallelogram properties
Rate · Liquid MeasurementsTime to fill a tank at a given flow rate
Angles in a semicircle and same segment
Least Common Multiple of Algebraic ExpressionsLeast common multiple of three algebraic terms
Algebraic Fractions · EquationsSolve an equation with algebraic fractions
Angle at circumference and opposite angle from centre angle
Position of a term in an arithmetic progression
Angles in a Circle · TrianglesAngle from perpendicular chords and same segment angles
Angle of elevation and depression between two points
Volume of a triangular prism
Solve a factorised quadratic equation
Constructions · Loci and ConstructionsLocate points by two loci: circle and perpendicular bisector
Fractions of an imported fuel stock shared and stored
Badge of semicircle and trapezium: perimeter, areas, rectangle length
Inverse Proportion · PercentagesMan-days with absent workers; simple interest on a loan
Spinner spun twice: grid, sum probability, tree diagram
Complete a pie chart of farm animals and redraw after a change
Percentages · PercentagesRates on a house, renovation loan and rent advance
Graph of y = x^2 - 4 and its properties
Simultaneous equations for fruit prices
Scale drawing of a tower and cable
Trapezium area gives a quadratic; solve and find triangle area
Workers' late time: modal class, mean, monthly total
Bulbs on circular rings form an arithmetic progression
Constructions · Loci and Constructions · Angles in a CircleConstruct triangle, bisector, circle on BC, parallel line
Volume of Solids · Surface Area and Volume · Logarithms IICylinder with cone: volume formula and log-table evaluation
Parallelograms I · Parallelograms II · Congruency · Area of Plane Figures between Parallel LinesProve parallelogram theorem; congruence and new parallelogram
Angles in a Circle · Cyclic QuadrilateralsProve an angle relation in a circle with centre
Two Venn diagrams of cake and banana eaters
