Mathematics - Kuwait University Mathematics Aptitude Test
Mathematics is the single domain on the Kuwait University Mathematics Aptitude Test. It samples quantitative skills expected of an incoming student: fluent arithmetic with fractions, decimals, percentages, and ratios; manipulation of algebraic expressions and linear or quadratic equations; elementary geometry and measurement; and interpretation of short word problems. The paper rewards exactness and choosing a short method over lengthy computation.
Core rules to automate
- Percentages: a% of b is (a/100)b. Successive percentage changes multiply; they do not add.
- Ratio and proportion: multiplying both parts by the same nonzero factor preserves a ratio; a:b = c:d gives ad = bc.
- Algebra: distribute every term, collect like terms, and check a solution by substitution. For ax² + bx + c = 0, factor first; otherwise use x = (−b ± √(b² − 4ac))/(2a).
- Geometry: triangle angles sum to 180°; triangle area = ½bh; Pythagoras a² + b² = c²; circle area = πr² and circumference = 2πr.
- Statistics: mean = sum ÷ count; median is the middle value after ordering.
Worked example
A right triangle has legs 5 cm and 12 cm. Find its perimeter and area. The hypotenuse is √(5² + 12²) = √169 = 13 cm. Perimeter = 5 + 12 + 13 = 30 cm. Area = ½ × 5 × 12 = 30 cm². The equal numbers are a coincidence: perimeter and area have different units, so they cannot be equated. Always attach units and check that the answer matches the quantity requested.
Traps that cost marks
- Adding successive discounts instead of multiplying factors.
- Reversing an inequality sign when multiplying or dividing by a negative number.
- Substituting the diameter where the radius belongs.
- Mixing centimetres and metres before computing.
- Treating a ratio a:b as the fraction a/(a+b) rather than as a comparison of two parts.
A quick substitution check and a unit check catch most avoidable errors.