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🇵🇰 Army Soldier Test · subject
Army Soldier Test Mathematics Syllabus
Every chapter and topic of Mathematics examined in Army Soldier Test — 7 chapters, 23 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 Soldier Test, not a summary of it.
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Arithmetic
4 topics- Whole Numbers and Operations
- Fractions and Decimals
- HCF and LCM
- Square Roots and Cube Roots
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Percentage, Profit and Loss
3 topics- Percentage Calculation
- Profit and Loss
- Discount and Markup
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Ratio, Proportion and Average
3 topics- Ratio and Proportion
- Direct and Inverse Proportion
- Average
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Interest and Time
3 topics- Simple Interest
- Time and Work
- Time, Speed and Distance
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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 Circles
- Area and Perimeter
- Volume and Surface Area
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Number System and Sequences
3 topics- Number Series
- Divisibility Rules
- Unitary Method
Mathematics flashcards for Army Soldier Test
21 of 50 cards from the Mathematics deck — real questions with worked answers.
What is a whole number?
A whole number is any number from the set {0, 1, 2, 3, 4, ...} — all non-negative integers including zero, with no fractions or decimals.
State the correct order of operations (BODMAS).
Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction — performed left to right within the same level.
What is the identity element for addition and for multiplication of whole numbers?
The additive identity is 0 (n + 0 = n); the multiplicative identity is 1 (n × 1 = n).
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75.
How do you add two fractions with different denominators?
Find the LCM of the denominators, convert both fractions to that common denominator, then add the numerators and keep the denominator.
What is a proper fraction versus an improper fraction?
In a proper fraction the numerator is less than the denominator (e.g. 3/5); in an improper fraction the numerator is greater than or equal to the denominator (e.g. 7/5).
How do you multiply two decimals such as 0.3 × 0.2?
Multiply ignoring decimal points (3 × 2 = 6), then place the decimal point so the result has as many decimal digits as both factors combined: 0.3 × 0.2 = 0.06.
What is the HCF (Highest Common Factor) of two numbers?
The largest number that divides both numbers exactly without leaving a remainder.
What is the LCM (Least Common Multiple) of two numbers?
The smallest number that is a multiple of both numbers (i.e. exactly divisible by each).
State the relationship between HCF, LCM and two numbers.
For two numbers a and b: HCF × LCM = a × b.
Find the HCF and LCM of 12 and 18.
HCF = 6 and LCM = 36 (check: 6 × 36 = 216 = 12 × 18).
What is the prime factorization method for finding LCM?
Write each number as a product of primes, then take each prime to its highest power appearing in any number and multiply them together.
What is a square root?
The square root of a number x is the value that, when multiplied by itself, gives x. For example, √25 = 5 because 5 × 5 = 25.
What is a cube root?
The cube root of a number x is the value that, when multiplied by itself three times, gives x. For example, ∛27 = 3 because 3 × 3 × 3 = 27.
What is a perfect square? Give the first six.
A number that is the square of an integer. The first six are 1, 4, 9, 16, 25, 36.
What is a perfect cube? Give the first five.
A number that is the cube of an integer. The first five are 1, 8, 27, 64, 125.
What is √144?
12, because 12 × 12 = 144.
How do you write a percentage as a fraction?
Place the number over 100 and simplify. For example, 25% = 25/100 = 1/4.
What is the formula to find x% of a number N?
x% of N = (x/100) × N.
Find 15% of 200.
(15/100) × 200 = 30.
How do you express one quantity as a percentage of another?
Percentage = (part / whole) × 100. For example, 20 out of 50 is (20/50) × 100 = 40%.
Planning Mathematics for Army Soldier Test
Mathematics is about 18% of the Army Soldier Test syllabus by topic count — 23 of 128 topics, spread over 7 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 Arithmetic (4 topics), Geometry and Mensuration (4 topics), Percentage, Profit and Loss (3 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 Soldier Test) FAQ
What is in the Army Soldier Test Mathematics syllabus?
Mathematics is split into 7 chapters — Arithmetic, Percentage, Profit and Loss, Ratio, Proportion and Average, Interest and Time, Algebra and Geometry and Mensuration, and 1 more, containing 23 topics and 0 sub-topics in total.
How is Mathematics structured in the Army Soldier Test syllabus?
7 chapters. Mathematics accounts for about 18% of the topics in the whole Army Soldier Test syllabus (23 of 128).
How long should I spend on Mathematics for Army Soldier Test?
Budget around 15 hours for a first pass through Mathematics — about 45 minutes per topic plus 12 minutes per sub-topic across its 23 topics. Add revision cycles on top.
Are there flashcards for Army Soldier 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.