All 43 questions, with what each one tests. Try any of them free in Gedara Sir to check your answer, with step-by-step working.
Add fractions with the same denominator
5/8
💡 What it's asking: When fractions have the same bottom number (denominator), you add only the top numbers.
- Both fractions are in eighths.
- Add the tops: 3 + 2 = 5.
- Keep the bottom: 5/8.
✅ 3/8 is a bit under a half and 2/8 is a quarter; 5/8 is a bit more than a half. Sensible.
සිංහලෙන් විසඳුම
භාගවල හරය (පහළ සංඛ්යාව) සමාන විට එකතු කරන්නේ ලව පමණි.
- භාග දෙකම අටෙන් පංගු වේ.
- ලව එකතු කරන්න: 3 + 2 = 5.
- හරය එලෙසම තබන්න: 5/8.
Complete an equivalent fraction
8 (6/9 = 8/12, per the Tamil version)
💡 What it's asking: Equivalent fractions have the same value. Simplify first, then multiply top and bottom by the same number to reach 12 at the bottom. (The English paper prints 6/7, a misprint; the Tamil paper's 6/9 is used.)
- Simplify: 6/9 = 2/3.
- 3 × 4 = 12, so multiply the top by 4 too: 2 × 4 = 8.
- So 6/9 = 8/12; the missing number is 8.
✅ 8/12 simplifies to 2/3, and so does 6/9.
සිංහලෙන් විසඳුම
තුල්ය භාගවලට එකම අගය ඇත. මුලින් සරල කර, හරය 12 වන සේ ලවයත් හරයත් එකම සංඛ්යාවෙන් ගුණ කරන්න. (ඉංග්රීසි පත්රයේ 6/7 මුද්රණ දෝෂයකි; දෙමළ පත්රයේ 6/9 භාවිත කෙරේ.)
- සරල කරන්න: 6/9 = 2/3.
- 3 × 4 = 12 නිසා ලවයද 4 න් ගුණ කරන්න: 2 × 4 = 8.
- එබැවින් 6/9 = 8/12; නැති සංඛ්යාව 8 යි.
Change the subject of a formula with a fraction
Least Common Multiple of Algebraic ExpressionsLCM of three algebraic terms
Cost price from selling price and profit percentage
Choose the best approximation of a square root
Subtract numbers in base two
Algebraic Fractions · Least Common Multiple of Algebraic ExpressionsSubtract algebraic fractions with opposite-sign denominators
Angles Related to Straight Lines and Parallel LinesAngles on a straight line
Square root using prime factorisation
Percentage of a quantity
Combine algebraic fractions with like numerators
Side of a parallelogram from equal area using two heights
Arc length of a quarter-circle sector
Write the inequality shown on a number line
Factors of Quadratic ExpressionsFactorise using a common factor and difference of squares
General term of a linear number pattern
Gradient and intercept from a line equation
Decide congruence of two triangles and state the condition
Angle using isosceles triangles and an exterior angle
Mode and median of raw data
Complete a binomial square by adding a constant
Represent a set of square numbers in a Venn diagram
Locate points using perpendicular bisector and parallel loci
Form and solve equations for an age problem
Expand and simplify linear bracket expressions
Sides of a regular polygon from exterior-interior angle ratio
Days for a fraction of a job with fewer workers
Angle using parallel lines and an exterior angle
Chords of a Circle · Pythagoras RelationshipChord length using perpendicular from centre and Pythagoras
Simplify fractions; fraction word problem with sales and profit
Area of a triangle with two sectors removed
-0.jpg)
Arc length and perimeter of the remaining shape
-0.jpg)
Frequency Distributions · Data RepresentationCount, range, mode and median from a stem-and-leaf plot
-0.jpg)
Interpret a pie chart of monthly expenses
-0.jpg)
Marked price, discount, profit percentage and brokerage
Prove triangles congruent in a square with an angle bisector
-0.jpg)
Angles from a square and an equilateral triangle; isosceles reasoning
-0.jpg)
Unknown angles using angle sums and isosceles triangles
-0.jpg)
Congruence and isosceles triangles with a midpoint and parallel line
-0.jpg)
Factors of Quadratic Expressions · Binomial Expressions · Square Root · Least Common Multiple of Algebraic ExpressionsMixed: factorise trinomial, cube edge root, binomial identity, expand, LCM
Substitute in a formula; solve simultaneous and linear equations
-0.jpg)
Table and graph of a line; parallel line equation
-0.jpg)