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.
Customs duty as a percentage of value
8%
💡 What it's asking: We know the duty paid and the item's value, and want the duty as a percentage. Percentage = part ÷ whole × 100.
- The part is the duty, Rs. 720; the whole is the value, Rs. 9000.
- Divide: 720 ÷ 9000 = 0.08.
- Multiply by 100: 0.08 × 100 = 8%.
✅ 8% of 9000 = 9000 × 8/100 = 720, the duty given.
සිංහලෙන් විසඳුම
ගෙවූ බද්ද සහ භාණ්ඩයේ වටිනාකම දී ඇත; බද්ද ප්‍රතිශතයක් ලෙස සෙවිය යුතුයි. ප්‍රතිශතය = කොටස ÷ මුළු ප්‍රමාණය × 100.
- කොටස බද්ද රු. 720; මුළු ප්‍රමාණය වටිනාකම රු. 9000.
- බෙදන්න: 720 ÷ 9000 = 0.08.
- 100 න් ගුණ කරන්න: 0.08 × 100 = 8%.
Angle using an isosceles triangle and exterior angle
30 degrees
💡 What it's asking: Look for the equal-length marks: they make a small isosceles triangle. Its equal angles and the exterior-angle rule give you an angle in the left triangle, and then x.
- The marks show the line from the top equals the right part of the base, so the small right-hand triangle is isosceles.
- Its angle at the right corner equals the 40° at the top: 40°.
- The exterior angle of that triangle at the foot of the line is 40° + 40° = 80°. This is an angle of the left triangle.
- In the left triangle: x = 180° − 70° − 80° = 30°.
✅ The left triangle's angles 70°, 80° and 30° add to 180°.
සිංහලෙන් විසඳුම
සමාන දිග සලකුණු සොයන්න: ඒවායින් කුඩා සමද්විපාද ත්‍රිකෝණයක් සෑදේ. එහි සමාන කෝණ සහ බාහිර කෝණ නීතියෙන් වම් ත්‍රිකෝණයේ කෝණයක් ලැබේ; ඉන්පසු x.
- සලකුණු අනුව ඉහළ සිට ඇති රේඛාව පාදයේ දකුණු කොටසට සමානයි; එබැවින් කුඩා දකුණු ත්‍රිකෝණය සමද්විපාදයි.
- එහි දකුණු කෙළවරේ කෝණය ඉහළ ඇති 40° ට සමානයි: 40°.
- එම ත්‍රිකෝණයේ රේඛාවේ පාමුල බාහිර කෝණය 40° + 40° = 80°. මෙය වම් ත්‍රිකෝණයේ කෝණයකි.
- වම් ත්‍රිකෝණයේ: x = 180° − 70° − 80° = 30°.
Simplify two fractions with denominators x - 1 and 1 - x
Factors of Quadratic ExpressionsFactorise a quadratic trinomial
Base circumference of cone made from a quarter circle
Solve a quadratic with no constant term
Days for more men to finish remaining work
Area of Plane Figures between Parallel Lines · Parallelograms IITrue/false on areas and diagonals of a rhombus
Set notation for a shaded Venn region
Least Common Multiple of Algebraic ExpressionsLCM of three algebraic terms
Equation of a line parallel to a given line
Express log 5 in terms of log 2
Cyclic Quadrilaterals · Angles in a CircleReason a quadrilateral is cyclic using semicircle angle
Data Representation and PredictionTotal frequency from a histogram with unequal widths
Fifth term of a GP from its general term
Angles of cyclic quadrilateral using exterior angles
Complete the statement of the midpoint converse
Cylinder capacity when cone inside leaves 500 ml
Constant completing the square
Alternate segment theorem with a tangent
Scale Diagrams · Angles of a TriangleAngle of depression from top of a post
Union probability of mutually exclusive events
Midpoint Theorem · Angles in a Circle · Pythagoras' TheoremCircumcentre on a side; radius by Pythagoras
Speed from a distance-time graph
Midpoint Theorem · ConstructionsLocus of midpoint of PX as X moves on QR
Fractions of income on food, education and bank deposits
Area · Pythagoras RelationshipSector and semicircle on right isosceles triangle; equal-area sector
Percentages · Share MarketCompare compound and simple interest; switching shares
Incomplete pie chart of breakfasts
Probability · ProbabilityMarbles without replacement: grid and tree diagram
Percentages · Share Market · PercentagesRates percent; shares from dividend; compound gold price rise
Graph of x^2 + x - 3; roots, minimum, shifted function
Equations · Factors of Algebraic ExpressionsFlower bed dimensions by simultaneous equations; fencing; factorise
Equations · Surface Area of SolidsLamina minus closed cylinder surface; quadratic by completing square
Trigonometry · Pythagoras' TheoremLadder between tree and building; rotation and heights
Frequency Distributions · PercentagesMean days of online classes; time and internet costs
Arithmetic Progressions · Geometric ProgressionCOVID cases as an AP; testing costs; virus GP
Constructions · Constructions · Midpoint Theorem · TangentsConstruct equilateral triangle, midpoints and touching circle
Midpoint Theorem · Equiangular TrianglesProve ED is three quarters of AB
Angles in a Circle · Cyclic QuadrilateralsAngles in cyclic quadrilateral on a diameter
Three-set Venn of parliamentary votes; tree diagram
Volume of Solids · Surface Area and Volume · Indices and Logarithms IICuboid melted into a trophy; height formula by logs
