The role of Mathematical Skills in MAT
Mathematical Skills has 30 questions among MAT's 150, at one mark each with a 0.25 deduction for a wrong answer. The mathematics is at school level: arithmetic, algebra, geometry, mensuration and number system. What makes it demanding is the clock: at about 56 seconds a question in a 28-minute plan, there is room for neither long calculations nor many lapses. For candidates from non-quantitative backgrounds it is the section to practise most steadily; for engineers it is often a source of quick marks, with the risk of over-investing time in hard questions.
Topic map
| Area | Topics | Nature of questions |
|---|---|---|
| Arithmetic | Percentage, ratio and proportion, averages, profit and loss, interest, mixtures, ages, time and work, time-speed-distance | Largest share; formula and shortcut questions |
| Number system | HCF and LCM, divisibility, remainders, squares and roots | Quick if basics are memorised |
| Algebra | Linear and quadratic equations, identities, inequalities, progressions | Short |
| Geometry and mensuration | Triangles, circles, quadrilaterals, areas and volumes | Formula-based |
| Basic permutation and probability | Counting, simple probability | Short |
The syllabus is not published as a list; use recent papers and mocks as a guide.
Worked examples
Geometry and ratio. The sides of a rectangle are in the ratio 3 : 2 and its perimeter is 50 cm. What is its area? The sum of two adjacent sides is 25, so the sides are 15 cm and 10 cm and the area is 150 sq cm.
Percentage. A price increases by 20% and then decreases by 20%. What is the net change? 1.2 × 0.8 = 0.96, a 4% fall.
LCM. Two bells ring at intervals of 12 and 18 minutes. After how many minutes will they ring together again? The LCM of 12 and 18 is 36.
Speed. A person walks at 6 km/h for the first 2 hours and 4 km/h for the next 3 hours. What is the average speed? Distance = 12 + 12 = 24 km in 5 hours, so 4.8 km/h.
Algebra. If x + 1/x = 3, find x² + 1/x². Squaring gives x² + 2 + 1/x² = 9, so the answer is 7.
Interest. What is the compound interest on 10,000 at 10% for 2 years? 10,000 × 1.1 × 1.1 = 12,100, so the interest is 2,100.
Each takes 30 to 60 seconds with the right method.
Speed methods worth learning
- Multiplying factors for successive percentage changes.
- Fractions for percentages (12.5% = 1/8, 16.67% = 1/6).
- Work as units with the LCM of days as total work.
- Total distance over total time for average speed, never the mean of two speeds.
- Identities for algebra questions.
- Squares to 30 and cubes to 15. See squares, cubes and roots practice.
More in mental maths techniques. Learn each method with its reason.
Time management
| Stage | Time (about 28 minutes) | What to do |
|---|---|---|
| First pass | About 21 minutes | Solve questions where the method is clear in 5 seconds; mark others |
| Second pass | About 6 minutes | Return to marked questions in order of ease |
| Check | About 1 minute | Verify doubtful arithmetic |
Use the ceiling of about 75 seconds per question from the MAT mock test strategy, and see how to pick which questions to skip.
Negative marking in Mathematical Skills
With +1 and −0.25, the break-even accuracy is 20%. After eliminating one option, an attempt has a clearly positive expected value. A computed answer that matches no option usually means a slip: recheck rather than guess. Track net marks from guessed answers by topic. See our negative marking guide.
How to practise
- Topic sets (10 to 15 questions): daily early on, at 45 seconds each.
- Calculation drills: ten minutes a day.
- Sectionals (30 questions in 28 minutes): two a week in the middle phase.
- Full papers: weekly in the last month.
Our topic pages include percentage, profit and loss, averages, HCF and LCM, time and work, time, speed and distance and mensuration.
Analysing your result
| Pattern | Probable cause | Action |
|---|---|---|
| Errors concentrated in one topic | Concept gap | Topic repair: 15 questions within a week |
| Right method, wrong number | Arithmetic slips | Estimation; check the last step |
| Cannot finish in 28 minutes | Slow methods or no ceiling | Learn shortcuts; cap at 75 seconds |
| Wrong answers on word problems | Misreading | Underline the ask and units |
| Guessed answers losing marks | Guessing without elimination | Compute net marks by topic |
Common mistakes in preparation
- Spending time on CAT-level problems that do not appear in MAT.
- Not memorising squares, tables and fractions.
- Practising untimed.
- Letting one question run past two minutes.
- Ignoring geometry and mensuration formulas.
Related pages
See the MAT hub, the exam pattern and the mock test strategy. Other sections: Language Comprehension, Intelligence and Critical Reasoning, Data Analysis and Sufficiency and Economic and Business Environment. For a worked review read how to use mock tests for MAT. Mathematics tests published by institutes appear below.
Note: the section structure above follows AIMA's published pattern (30 questions per section); confirm the pattern for your session at mat.aima.in.
