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.
Import duty at a percentage on an item's value
Rs 1540
💡 What it's asking: Customs duty is a percentage of the item's value. Find 22% of Rs. 7000.
- Write 22% as 22/100.
- Multiply: 7000 × 22/100 = 70 × 22.
- 70 × 22 = Rs. 1540.
✅ 20% of 7000 is 1400, and 22% should be a bit more: 1540 fits.
සිංහලෙන් විසඳුම
රේගු බද්ද භාණ්ඩයේ වටිනාකමින් ප්රතිශතයකි. රු. 7000 න් 22% සොයන්න.
- 22% යනු 22/100 ලෙස ලියන්න.
- ගුණ කරන්න: 7000 × 22/100 = 70 × 22.
- එබැවින් 70 × 22 = රු. 1540.
Evaluate a negative power plus an integer
28/9 = 3 1/9
💡 What it's asking: A negative index means 'one over'. Change 3⁻² to a fraction, then add 3.
- A negative power means take the reciprocal: 3⁻² = 1/3².
- 3² = 9, so 3⁻² = 1/9.
- Add 3: 1/9 + 3 = 3 1/9, which is 28/9.
✅ 3⁻² is a small positive number (not negative), so the answer is just a little more than 3. ✓
සිංහලෙන් විසඳුම
සෘණ දර්ශකයක් යනු 'එකක් බෙදීම' යන්නයි. 3⁻² භාගයක් ලෙස ලියා 3 එකතු කරන්න.
- සෘණ බලයක් යනු පරස්පරයයි: 3⁻² = 1/3².
- 3² = 9 නිසා 3⁻² = 1/9.
- 3 එකතු කරන්න: 1/9 + 3 = 3 1/9, එනම් 28/9.
Angle x from two isosceles triangles sharing a side
Express a base-2 logarithm in terms of a given log
Shade complement-of-B intersect A for nested sets
Least Common Multiple of Algebraic ExpressionsLCM of three algebraic terms
Solve a linear equation containing a fraction
Factors of Algebraic ExpressionsEvaluate a decimal expression by taking common factors
Show two inequalities together on a number line
Equation of a line through two points
Days food lasts after some hostel students leave
Angles in a Circle · Angles Related to Straight Lines and Parallel LinesAngle at chord intersection using centre angle and parallel chords
Actual distance from a map scale
Pythagoras Relationship · AreaTriangle area inside a quarter circle via Pythagoras
Rhombus angle from the angle between diagonal and side
Make h the subject of a cone surface formula
Sum of reciprocals from given sum and product
Angles Related to Straight Lines and Parallel Lines · Angles of a TriangleAngle between bisectors of co-interior angles
True or false for three logarithm statements
Match a quadratic to a perfect square
Locate a point using a parallel-line locus and a circle locus
Profit percentage from discount on buying and markup on selling
Probability of a union of independent events
Common difference from a formula for the sum
Mean from an assumed mean and sum of deviations
Fractions of fuel shared between stations and vehicles
Square pool with quarter-circle corners: side, shaded area, perimeter, rectangle
Quarterly rates, rent advance, then simple interest on the balance
Two dice on a grid, then a coin in a tree diagram
Frequencies and sector angles from a pie chart; corrected data
Percentages · PercentagesCustoms duty, VAT rate, marked price and profit percentage
Graph of x squared minus 7: axis, negative range, shifted function
Quadratic equation from a triangle's area; find the base
Logarithms I · Logarithms II · FormulaeSimplify logs; subject of a formula; evaluate with log tables
Factors of Algebraic Expressions · Algebraic Fractions · Algebraic Fractions · EquationsFactorise, simplify algebraic fractions, solve simultaneous equations
Perimeter · Surface Area and Volume · Liquid MeasurementsPool with semicircular end: wire length, wall area, water volume
Arithmetic progression of houses repaired per month
Constructions · ConstructionsConstruct a triangle, perpendicular bisector, perpendicular, and a circle
Scale Diagrams · Pythagoras RelationshipTower height from a cable; distance via angle of depression
Angles in a Circle · Angles Related to Straight Lines and Parallel LinesAngles in same segment in two circles; prove lines parallel
Venn diagram of girls and ice-cream eaters on a trip
Isosceles triangles on produced sides; prove perpendicular lines
