Online Tests of mathematics for Army Navy and PAF
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Mathematics Practice For Pak Army Navy And Pakistan Air Force Initial Tests

Mathematics are available here for passing initial tests of Pak Army, Pak Navy and Pakistan Air Force with 100% surety. If you want to pass the initial tests of Pak Forces then must do practice here.

It is assured that getting 100% marks in the Quiz means passing the mathematics tests of Army, Navy and PAF.

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Note: Do more practice here so that your score must cross 90% at least, then you can pass the Maths test.
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Math Advance Quiz

If A completes a particular work in 4 days and B completes the same work in 12 days. How many days will it take if they work together?

(0,3)(0,5)=___.

If a²-b²=30 and a-b=5 then find the value of a + b___.

Set N of natural numbers is monoid w.r.t :

x³ + 8 = ?

The single logarithm of log3 + log7- log11 is ___?

Set of real numbers between 0 and 1 is :

If the sum of two angles is 90° then the angles are called____ angles.

Let A and B are two matrices of same order then (A+B)ᵗ=_____?

Additive Identity is _____.

How many lines can pass from two different points?

Angle with same initial and terminal points is called ____?

270° and 90° both are ____?

When measure of one side and two angles are given then we use law of ___?

A, b, c, d can be written in ration as ______.

The HCF of x²-1 and x³-1 is____.

If l=1.5cm,r=2.5cm ,then value of θ is:

Square root of a2+ 4ac + 4c2 is ______.

A circle passing through the vertices of a triangle is called:

The next term of the sequence 2, 6, 11, 17…………….is?

Multiplicative inverse of 0 is ___.

If 0 = 80° then sign cot0 is ___?

If Determinant of the matrix Is zero then Matrix is called …………..?

If f(x)=cos x ,then f(0)=

9×8×7 is equal to :

Your score is

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Free Online Mathematics Practice Tests For Army Navy And PAF Initial Academic Tests

Free online practice tests of Mathematics are available here which are very helpful for Initial Academic Tests of Army, Navy and PAF. All tests have been collected from the past students who have passed the academic tests.

You are advised to test your skills of Mathematics here. If you want to join Pak Defence Forces then increase your passing score in the following tests.

We prepare our students with 100% preparation and give confidence.

Mathematics Initial Test Practice For Pak Army Navy And Paf

Q: What is the derivative of f(x) = x³ + 4x² - 2x + 5?

(a) 3x² + 8x - 2
(b) 3x² + 8x + 2
(c) 2x² + 8x - 2
(d) 3x² + 4x + 5
Click to View Answer
Answer: (a) 3x² + 8x - 2

Q: Find the value of ∫ (2x³ - 3x² + 4x - 5)dx.

(a) x⁴/2 - x³ + 2x² - 5x + C
(b) x⁴/2 - x³ + 2x² - 5x² + C
(c) x³/2 - x² + 2x - 5 + C
(d) x⁴/2 + x³ - 2x² - 5x + C
Click to View Answer
Answer: (a) x⁴/2 - x³ + 2x² - 5x + C

Q: Find the solution for lim(x → 0) (sin x / x).

(a) 1
(b) 0
(c) ∞
(d) 2
Click to View Answer
Answer: (a) 1

Q: What is the integral of 1/x?

(a) ln |x| + C
(b) x + C
(c) 1/x² + C
(d) eˣ + C
Click to View Answer
Answer: (a) ln |x| + C

Q: What is the second derivative of f(x) = 2x⁴ - 5x³ + 7x - 10?

(a) 24x² - 30x + 7
(b) 24x² - 15x + 7
(c) 24x² - 30x + 14
(d) 24x² - 15x + 14
Click to View Answer
Answer: (a) 24x² - 30x + 7

Q: If f(x) = 3x² + 2x + 1, what is f'(x)?

(a) 6x + 2
(b) 6x + 1
(c) 3x + 2
(d) 3x + 1
Click to View Answer
Answer: (a) 6x + 2

Q: Find the value of ∫₁² x² dx.

(a) 7/3
(b) 8/3
(c) 9/3
(d) 6/3
Click to View Answer
Answer: (a) 7/3

Q: What is the value of log₁₀ 1000?

(a) 2
(b) 3
(c) 1
(d) 4
Click to View Answer
Answer: (b) 3

Q: The solution of the quadratic equation x² - 4x + 3 = 0 is:

(a) x = 1, 3
(b) x = -1, -3
(c) x = 3, -1
(d) x = 2, 3
Click to View Answer
Answer: (a) x = 1, 3

Q: Find the value of tan 45°.

(a) 1
(b) 0
(c) √2
(d) 1/√2
Click to View Answer
Answer: (a) 1

Q: If sin θ = 3/5, what is cos θ?

(a) 4/5
(b) 3/5
(c) 5/4
(d) 2/5
Click to View Answer
Answer: (a) 4/5

Q: What is the derivative of f(x) = sin x + cos x?

(a) cos x - sin x
(b) cos x + sin x
(c) -cos x - sin x
(d) -sin x + cos x
Click to View Answer
Answer: (a) cos x - sin x

Q: What is the second derivative of f(x) = x³ - 4x² + 5x - 6?

(a) 6x - 8
(b) 6x + 8
(c) 3x - 4
(d) 3x + 5
Click to View Answer
Answer: (a) 6x - 8

Q: What is the value of lim(x → ∞) (1/x)?

(a) 1
(b) 0
(c) ∞
(d) Undefined
Click to View Answer
Answer: (b) 0

Q: What is the integral of cos x?

(a) sin x + C
(b) -sin x + C
(c) cos x + C
(d) -cos x + C
Click to View Answer
Answer: (a) sin x + C

Q: Find the value of ∫₀ᴩ sin x dx.

(a) 2
(b) 1
(c) 0
(d) π
Click to View Answer
Answer: (a) 2

Q: If f(x) = 5x² - 3x + 4, what is f'(x)?

(a) 10x - 3
(b) 5x - 3
(c) 10x + 4
(d) 5x - 4
Click to View Answer
Answer: (a) 10x - 3

Past Experiences Of Mathematics For Army Navy And PAF Initial Tests

Past experiences of mathematics in Army initial tests help candidates master arithmetic, percentages, and ratio proportions, which are crucial for the PMA Long Course academic section.
Repeated topics in PAF initial tests include algebraic expressions, trigonometry, and vector-based physics problems, especially for GD Pilot and Engineering candidates.
Geometry is vital for the Navy PN Cadet test because it evaluates spatial reasoning and analytical skills, focusing on area, volume, and Pythagorean applications.
Improving speed requires practicing math shortcuts from previous test experiences, such as quick fraction-to-percentage conversions and basic square root memorization.
Yes, strong mathematical foundations are required for ISSB to pass intelligence and academic modules that test logical consistency and numerical reasoning.
Practicing past papers familiarizes you with the question format used in PAF recruitment, which significantly improves time management and boosts overall merit scores.
Algebra is the backbone of technical courses in the Army. Solving quadratic equations and logarithms from past experiences is essential for technical commissions.
Mastering sequence and series involves identifying patterns in number sets, a frequent topic in Pakistan Navy academic and non-verbal intelligence tests.
Yes, non-engineering students can pass by focusing on Matric-level arithmetic and general mathematics common in all initial military recruitment exams.
Solved past experiences of mathematics for Army, Navy, and PAF can be accessed through the official PakShaheens portal for specialized military test preparation.
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