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 x=3+√8 then find the value of x +1/x

The number of 3-digit numbers formed by using each of the digits 2,3,5,7,9 only once is:

Imaginary part of ι/1+ι is :

If A and B are disjoint events then P(A-1B) =_______?

Common logarithm has a base _____.

If added on both sides of an equation then value is called ______ value.

The sum of three consecutive even numbers is 78. What is the largest number?

Expansion of (1+2x)1/5 is valid if:

The probability of getting an ace card from a desk of 52 playing cards is :

R is equal to:

A die is rolled , then the probability of getting prime number is:

If log7x=2 then find the value of x___.

If A= {1,2,5,7,9} then in set builder notation____.

The square root of every incomplete square is

If f(x)=2x+1 ,then fºf(x) is equal to:

The numbers whose sum is -13 and product is -30 are ___.

If f(x)=2x+5 then f(2)equals :

If the radius of a circule 7 cm then its circumference will be _____?

The two number  whose sum is -13 and product is -30 are _____

If α,β are the roots of the equation x²-4x+5=0, then αβ equals:

Logic in which there is a scope for third or fourth possibility is called:

Cotθ=____. 

If n=1, then xn  =_______?

3 x 2 + 2=_____.

If a line meets x and y axes at 2,3 units , then its equation is :

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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