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🇵🇰 FIA Recruitment Test · subject
FIA Recruitment Test Mathematics and Reasoning Syllabus
Every chapter and topic of Mathematics and Reasoning examined in FIA Recruitment Test — 4 chapters, 20 topics, plus 50 flashcards written against it.
Mathematics and Reasoning syllabus — full chapter and topic list
Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Mathematics and Reasoning in FIA Recruitment Test, not a summary of it.
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Basic Arithmetic
6 topics- Fractions and Decimals
- Percentages
- Ratio and Proportion
- Average
- Profit and Loss
- Simple and Compound Interest
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Algebra and Numbers
5 topics- Linear Equations
- HCF and LCM
- Number Series
- Time, Speed and Distance
- Time and Work
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Analytical Reasoning
5 topics- Logical Sequences
- Seating and Arrangement Problems
- Blood Relations
- Coding and Decoding
- Direction Sense
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Logical and Verbal Reasoning
4 topics- Statement and Conclusion
- Syllogisms
- Pattern Recognition
- Data Interpretation
Mathematics and Reasoning flashcards for FIA Recruitment Test
18 of 50 cards from the Mathematics and Reasoning deck — real questions with worked answers.
How do you convert a fraction into a decimal?
Divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75.
How do you convert a terminating decimal into a fraction?
Write the decimal digits over a power of 10 (one zero per decimal place), then simplify. E.g. 0.25 = 25/100 = 1/4.
To add or subtract fractions, what must first be true of the denominators, and how is it achieved?
The denominators must be equal. Convert each fraction to an equivalent one using the LCM of the denominators (common denominator), then add/subtract the numerators.
How do you multiply two fractions, and how do you divide one fraction by another?
Multiply: multiply numerators together and denominators together (a/b × c/d = ac/bd). Divide: multiply by the reciprocal of the divisor (a/b ÷ c/d = a/b × d/c).
What is the formula to convert a fraction or a number into a percentage?
Multiply by 100. Percentage = (value × 100). E.g. 3/5 = (3/5) × 100 = 60%.
How do you find x% of a number N?
Compute (x/100) × N. E.g. 20% of 150 = (20/100) × 150 = 30.
What is the formula for percentage increase or decrease?
Percentage change = ((New value − Old value) / Old value) × 100. A positive result is an increase, negative is a decrease.
If a quantity is increased by x% and then decreased by x%, what is the net percentage change?
It is a net decrease of (x²/100)%. The original value is never fully recovered.
What is a ratio, and what does the proportion a:b = c:d mean?
A ratio compares two quantities by division (a:b means a/b). A proportion states two ratios are equal; a:b = c:d means a/b = c/d.
State the cross-multiplication rule for a proportion a:b = c:d.
The product of the means equals the product of the extremes: a × d = b × c.
How do you divide an amount in the ratio a:b among two parts?
Total parts = a + b. First part = (a/(a+b)) × amount; second part = (b/(a+b)) × amount.
What is the difference between direct and inverse proportion?
Direct: as one quantity increases, the other increases proportionally (y = kx). Inverse: as one increases, the other decreases (xy = k, or y = k/x).
What is the formula for the average (arithmetic mean) of a set of values?
Average = (Sum of all values) / (Number of values).
How do you find the total sum when you know the average and the number of items?
Sum = Average × Number of items.
What is the average of the first n natural numbers?
Average = (n + 1) / 2. (Since their sum is n(n+1)/2.)
If the average of n numbers is A and one new number x is added, how is the new average computed?
New average = (nA + x) / (n + 1).
Define profit and loss in terms of cost price (CP) and selling price (SP).
Profit = SP − CP (when SP > CP). Loss = CP − SP (when CP > SP).
What are the formulas for profit percent and loss percent?
Profit% = (Profit / CP) × 100. Loss% = (Loss / CP) × 100. Both are calculated on the cost price.
Planning Mathematics and Reasoning for FIA Recruitment Test
Mathematics and Reasoning is about 23% of the FIA Recruitment Test syllabus by topic count — 20 of 87 topics, spread over 4 chapters. At roughly 45 minutes per topic plus 12 minutes per sub-topic, a first pass runs to about 15 hours.
The heaviest chapters are Basic Arithmetic (6 topics), Algebra and Numbers (5 topics), Analytical Reasoning (5 topics) . Front-load those while your energy is high; the short chapters are better revision filler later.
Work top-down: read the chapter, then tick topics off individually rather than marking the whole chapter done. Sub-topics are where silent gaps hide.
Mathematics and Reasoning (FIA Recruitment Test) FAQ
What is in the FIA Recruitment Test Mathematics and Reasoning syllabus?
Mathematics and Reasoning is split into 4 chapters — Basic Arithmetic, Algebra and Numbers, Analytical Reasoning and Logical and Verbal Reasoning, containing 20 topics and 0 sub-topics in total.
How is Mathematics and Reasoning structured in the FIA Recruitment Test syllabus?
4 chapters. Mathematics and Reasoning accounts for about 23% of the topics in the whole FIA Recruitment Test syllabus (20 of 87).
How long should I spend on Mathematics and Reasoning for FIA Recruitment Test?
Budget around 15 hours for a first pass through Mathematics and Reasoning — about 45 minutes per topic plus 12 minutes per sub-topic across its 20 topics. Add revision cycles on top.
Are there flashcards for FIA Recruitment Test Mathematics and Reasoning?
Yes — a 50-card Mathematics and Reasoning deck. Sample cards are printed on this page, and the full deck is free in the Examius app with spaced repetition scheduling.