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🇵🇰 Army Clerk Test · subject
Army Clerk Test Mathematics Syllabus
Every chapter and topic of Mathematics examined in Army Clerk Test — 7 chapters, 24 topics, plus 50 flashcards written against it.
Mathematics syllabus — full chapter and topic list
Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Mathematics in Army Clerk Test, not a summary of it.
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Arithmetic
4 topics- Number System
- HCF and LCM
- Fractions and Decimals
- Simplification (BODMAS)
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Ratio, Proportion and Percentage
3 topics- Ratio and Proportion
- Percentage
- Average
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Profit, Loss and Interest
4 topics- Profit and Loss
- Discount
- Simple Interest
- Compound Interest
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Time, Work and Distance
3 topics- Time and Work
- Time, Speed and Distance
- Pipes and Cisterns
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Algebra
3 topics- Algebraic Expressions
- Linear Equations
- Factorization
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Geometry and Mensuration
4 topics- Lines and Angles
- Triangles and Quadrilaterals
- Area and Perimeter
- Volume and Surface Area
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Unitary Method and Partnership
3 topics- Unitary Method
- Partnership
- Ages Problems
Mathematics flashcards for Army Clerk Test
21 of 50 cards from the Mathematics deck — real questions with worked answers.
What is a natural number?
Counting numbers starting from 1: 1, 2, 3, 4, ... They do not include 0, negatives, or fractions.
What is a whole number?
All natural numbers together with 0: 0, 1, 2, 3, 4, ... Every natural number is a whole number, but 0 is whole and not natural.
What is a prime number? Give the smallest one.
A number greater than 1 having exactly two factors, 1 and itself. The smallest prime is 2, which is also the only even prime.
How many prime numbers are there between 1 and 50?
15 primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.
What is a composite number?
A natural number greater than 1 that has more than two factors (i.e., divisible by numbers other than 1 and itself). Example: 4, 6, 8, 9. Note: 1 is neither prime nor composite.
What is the divisibility rule for 3?
A number is divisible by 3 if the sum of its digits is divisible by 3. Example: 123 (1+2+3=6, divisible by 3).
What is the divisibility rule for 9?
A number is divisible by 9 if the sum of its digits is divisible by 9. Example: 729 (7+2+9=18, divisible by 9).
What is the divisibility rule for 11?
A number is divisible by 11 if the difference between the sum of digits in odd places and the sum of digits in even places is 0 or a multiple of 11.
What is the divisibility rule for 4 and for 8?
Divisible by 4 if the last two digits form a number divisible by 4. Divisible by 8 if the last three digits form a number divisible by 8.
What is the HCF (Highest Common Factor) of two numbers?
The largest number that divides both numbers exactly without leaving a remainder. Also called GCD (Greatest Common Divisor).
What is the LCM (Lowest Common Multiple) of two numbers?
The smallest number that is exactly divisible by both numbers (the smallest common multiple).
What is the relationship between HCF, LCM and two numbers?
Product of two numbers = HCF x LCM. So one number = (HCF x LCM) / other number.
Find the HCF and LCM of 12 and 18.
HCF = 6, LCM = 36. Check: 12 x 18 = 216 = 6 x 36.
How do you find the HCF of fractions?
HCF of fractions = HCF of numerators / LCM of denominators.
How do you find the LCM of fractions?
LCM of fractions = LCM of numerators / HCF of denominators.
What is a proper fraction versus an improper fraction?
Proper fraction: numerator < denominator (e.g., 3/5). Improper fraction: numerator >= denominator (e.g., 7/4).
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. Example: 3/4 = 3 divided by 4 = 0.75.
How do you convert the decimal 0.25 to a fraction?
Write it as 25/100, then simplify to 1/4.
How do you add or subtract fractions with different denominators?
Find the LCM of the denominators (common denominator), convert each fraction to that denominator, then add/subtract the numerators.
How do you divide one fraction by another?
Multiply the first fraction by the reciprocal (inverse) of the second. Example: (2/3) / (4/5) = (2/3) x (5/4) = 10/12 = 5/6.
What does BODMAS stand for and in what order are operations performed?
Brackets, Of, Division, Multiplication, Addition, Subtraction. Solve brackets first, then 'of', then division and multiplication (left to right), then addition and subtraction (left to right).
Planning Mathematics for Army Clerk Test
Mathematics is about 17% of the Army Clerk Test syllabus by topic count — 24 of 143 topics, spread over 7 chapters. At roughly 45 minutes per topic plus 12 minutes per sub-topic, a first pass runs to about 20 hours.
The heaviest chapters are Arithmetic (4 topics), Profit, Loss and Interest (4 topics), Geometry and Mensuration (4 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 (Army Clerk Test) FAQ
What is in the Army Clerk Test Mathematics syllabus?
Mathematics is split into 7 chapters — Arithmetic, Ratio, Proportion and Percentage, Profit, Loss and Interest, Time, Work and Distance, Algebra and Geometry and Mensuration, and 1 more, containing 24 topics and 0 sub-topics in total.
How many chapters are there in Mathematics for Army Clerk Test?
7 chapters. Mathematics accounts for about 17% of the topics in the whole Army Clerk Test syllabus (24 of 143).
How long should I spend on Mathematics for Army Clerk Test?
Budget around 20 hours for a first pass through Mathematics — about 45 minutes per topic plus 12 minutes per sub-topic across its 24 topics. Add revision cycles on top.
Are there flashcards for Army Clerk Test Mathematics?
Yes — a 50-card Mathematics deck. Sample cards are printed on this page, and the full deck is free in the Examius app with spaced repetition scheduling.