Table of Contents

Most Important MCQs of Mathematics

If you want to join Pakistan Army, Navy or PAF and worried about preparation of MCQs of Mathematics of intermediate level then following mcqs of mathematics are very important for you. All given mcqs of mathematics are taken from the past experiences of the students who have passed the initial tests of Army PMA Long Course, TCC, LCC, AFNS and Education Branch. Moreover, in the PAF GD Pilots tests, Education Branch, Engineering Branch, Air Defence Branch, Logistics branch, Account branch, and pak Navy M Cadet, and Short Service Commission (SSC) tests.

Past Experiences of MCQs of Mathematics for Commissioned Officers

Welcome

Shaheen Forces Academy

We expect 100% result.

Click on Start Button.

Your time is Ended. Thanks

Maths Tests Quiz (Inter Level)

1 / 25

The length of a line joining the middle point of two sides of a triangle is 10 cm find the length of third side___.

10cm

15cm

20cm

5cm

2 / 25

Number of signals can be made with 4 flags when one flag is used at a a time are:

4C3

4C2

4C0

4C1

3 / 25

Factors of 3(x²+y²) are :__

3(x+y)(x-y)

none

3(x+i y)(x-i y)

√3(x+i y)(x-i y)

4 / 25

The imaginary part of the complex number (𝒃 , 𝒂) is _________

𝑖𝑎

𝑏

𝑎

None of these

5 / 25

The simplest form of 3 log 2-2 log 5 is ___.

Log 9/32

Log 25/8

Log 6/10

Log 8/25

6 / 25

Two triangles will be congruent if their opposite ____ are equal.

Side

Side and angle

Obtuse angle

Angle

7 / 25

If every element of a set A is also element of a set B, then :

A ∩B=∅

A⊆B

B⊆A

8 / 25

Find the odd one out :-

Void set

Null set

Infinite set

9 / 25

Log8x=2/3 then find the value of x___.

10 / 25

If 𝒙 ∈ 𝑳 ∪ 𝑴 then

𝑥 ∈ 𝐿 𝑜𝑟 𝑥 ∉ 𝑀

𝑥 ∉ 𝐿 𝑜𝑟 𝑥 ∉ 𝑀

𝑥 ∈ 𝐿 𝑜𝑟 𝑥 ∈ 𝑀

𝑥 ∉ 𝐿 𝑜𝑟 𝑥 ∈ 𝑀

11 / 25

If x=0 then multiplicative of x is ____.

1/x

none of these

12 / 25

If A and B are independent events, then P(A∩B) :

P(A)+P(B)

P(A)-P(B)

P(A)P(B)

P(A)+P(B)-p(AB)

13 / 25

The vertex of an angle in standard position lies at point:

(0,1)

(1,1)

(0,0)

(1,0)

14 / 25

a³+b³+3ab (a + b) = _____.

(a + b)

a³+b³

(a + b)³

(a + b)²

15 / 25

Cotθ Secθ =____.

Secθ

Sinθ

Cotθ

Cosecθ

16 / 25

Multiplicative identity of complex number is:

(0,1)

(1,1)

(0,0)

(1,0)

17 / 25

If x -1/x = 5 then find the value of x² + 1/x² = ___.

18 / 25

If a matrix A has 𝒎 rows and 𝒏 columns , then order of A is :

𝑚 × 𝑛

𝑚 + 𝑛

𝑛 × 𝑚

𝑚𝑛

19 / 25

Period of cos [x/2] equals:

4π

6π

2π

20 / 25

For any complex number 𝒛, it is always true that |𝒛| is equal to:

all of these

| − 𝑧|

|𝑧|

21 / 25

3600^th part of 𝟏° is equal to

3600’’

60’’

1’

1’’

22 / 25

1ⁿ⁺¹C_r+ⁿ⁺¹C_{r-1 = _______.}

n+2Cr

n+1Cr+1

n+1Cr

n+2Cr-1

23 / 25

Equation of horizontal line through (a,b) is:

x=a

y=a

x=b

y=b

24 / 25

The degree of the equation x³+3x²+4x+5=0 is:

25 / 25

Fractional notation was introduced by:

leibniz

christian kramp

seid kowa

euler

Your score is

The average score is 37%

Frequently Asked MCQs of Mathematics

Algebra

Factorize: x² – 7x + 12
- a) (x-3)(x-4)
- b) (x+3)(x+4)
- c) (x+3)(x-4)
- d) (x-3)(x+4)
- Answer: a)
Solve the quadratic equation: 2x² – 5x – 3 = 0
- a) x = 3, -1/2
- b) x = -3, 1/2
- c) x = 3, 1/2
- d) x = -3, -1/2
- Answer: a)
Simplify: (2x³y²)³
- a) 8x⁹y⁶
- b) 6x⁹y⁶
- c) 8x⁶y⁵
- d) 6x⁶y⁵
- Answer: a)
Solve the system of equations: 2x + y = 7 x – 2y = -4
- a) x = 2, y = 3
- b) x = 3, y = 2
- c) x = -2, y = -3
- d) x = -3, y = -2
- Answer: a)

Trigonometry

If sinθ = 3/5, find cosθ.
- a) 4/5
- b) -4/5
- c) 5/4
- d) -5/4
- Answer: a)
Find the value of sin 60° cos 30° – cos 60° sin 30°.
- a) 1/2
- b) √3/2
- c) 0
- d) 1
- Answer: c)
In a right-angled triangle, if sinθ = 3/5, find tanθ.
- a) 3/4
- b) 4/3
- c) 5/3
- d) 5/4
- Answer: a)

Geometry: MCQs of Mathematics

The area of a circle with radius 7 cm is:
- a) 14π cm²
- b) 49π cm²
- c) 28π cm²
- d) 35π cm²
- Answer: b)
The volume of a sphere with radius 5 cm is:
- a) 100π/3 cm³
- b) 500π/3 cm³
- c) 125π cm³
- d) 250π cm³
- Answer: b)
The surface area of a cube with side length 4 cm is:

a) 64 cm²
b) 96 cm²
c) 128 cm²
d) 192 cm²
Answer: b)

Coordinate Geometry: MCQs of Mathematics

Find the distance between the points (2, 3) and (5, 7).

a) 5 units
b) 4 units
c) 3 units
d) 2 units
Answer: a)

Find the midpoint of the line segment joining the points (3, 4) and (7, 8).

a) (2, 2)
b) (5, 6)
c) (4, 5)
d) (6, 7)
Answer: b)

Logarithms and Exponents: MCQs of Mathematics

Simplify: log₁₀ 100

a) 1
b) 2
c) 10
d) 100
Answer: b)

Solve for x: 2ˣ = 16

a) 2
b) 3
c) 4
d) 5
Answer: c)

Sequences and Series

Find the 10th term of the arithmetic sequence 2, 5, 8, …

a) 29
b) 30
c) 31
d) 32
Answer: a)

Find the sum of the first 5 terms of the geometric sequence 2, 4, 8, …

a) 30
b) 31
c) 32
d) 62
Answer: d)

Probability and Statistics: MCQs of Mathematics

A bag contains 5 red balls and 3 green balls. What is the probability of drawing a red ball?

a) 5/8
b) 3/8
c) 2/5
d) 3/5
Answer: a)

The mean of the numbers 10, 12, 14, 16, and 18 is:

a) 12
b) 13
c) 14
d) 15
Answer: b)

Mensuration: MCQs of Mathematics

The volume of a cuboid with length 5 cm, breadth 4 cm, and height 3 cm is:

a) 60 cm³
b) 12 cm³
c) 20 cm³
d) 30 cm³
Answer: a)

The total surface area of a cube with side length 6 cm is:

a) 144 cm²
b) 216 cm²
c) 36 cm²
d) 72 cm²
Answer: b)

Past MCQs of Mathematics for Pak Armed Forces

Solve the equation: x² – 5x + 6 = 0

a) x = 2, 3
b) x = -2, -3
c) x = -2, 3
d) x = 2, -3
Answer: a)

Simplify: (x³y²z)⁴

a) x¹²y⁸z⁴
b) 4x³y²z
c) 12x³y²z
d) 4x¹²y⁸z⁴
Answer: a)

Solve the system of equations: 3x + 2y = 11 x – 3y = -1

a) x = 2, y = 3
b) x = 3, y = 2
c) x = 1, y = 2
d) x = 2, y = 1
Answer: c)

Trigonometry: MCQs of Mathematics

If tanθ = 3/4, find sinθ.

a) 3/5
b) 4/5
c) 5/3
d) 5/4
Answer: a)

Find the value of sin²θ + cos²θ.

a) 0
b) 1
c) 2
d) -1
Answer: b)

In a right-angled triangle, if cosθ = 5/13, find secθ.

a) 13/5
b) 5/13
c) 12/13
d) 13/12
Answer: a)

Geometry: MCQs of Mathematics

The circumference of a circle with radius 10 cm is:

a) 10π cm
b) 20π cm
c) 30π cm
d) 40π cm
Answer: b)

The volume of a cone with radius 3 cm and height 8 cm is:

a) 24π cm³
b) 36π cm³
c) 72π cm³
d) 108π cm³
Answer: a)

The surface area of a sphere with radius 5 cm is:

a) 100π cm²
b) 200π cm²
c) 100π/3 cm²
d) 200π/3 cm²
Answer: a)

Coordinate Geometry

Find the slope of the line joining the points (2, 5) and (6, 9).

a) 1
b) 2
c) 3
d) 4
Answer: b)

Find the midpoint of the line segment joining the points (-2, 3) and (4, 7).

a) (1, 2)
b) (2, 1)
c) (1, 5)
d) (5, 1)
Answer: a)

Logarithms and Exponents

Simplify: log₁₀ 1000

a) 1
b) 2
c) 3
d) 10
Answer: c)

Solve for x: 3ˣ = 81

a) 2
b) 3
c) 4
d) 5
Answer: c)

Sequences and Series

Find the 12th term of the arithmetic sequence 3, 7, 11, …

a) 43
b) 45
c) 47
d) 49
Answer: c)

Find the sum of the first 10 terms of the geometric sequence 2, 4, 8, …

a) 1022
b) 1023
c) 1024
d) 2046
Answer: d)

Probability and Statistics

A bag contains 4 red balls and 6 blue balls. What is the probability of drawing a blue ball?

a) 2/5
b) 3/5
c) 2/3
d) 1/3
Answer: b)

The mean of the numbers 15, 18, 21, 24, and 27 is:

a) 18
b) 19
c) 20
d) 21
Answer: c)

Mensuration

The area of a parallelogram with base 10 cm and height 6 cm is:

a) 30 cm²
b) 60 cm²
c) 120 cm²
d) 180 cm²
Answer: b)

The volume of a right circular cylinder with radius 7 cm and height 10 cm is:

a) 140π cm³
b) 490π cm³
c) 350π cm³
d) 245π cm³
Answer: b)

The total surface area of a right circular cone with radius 5 cm and slant height 13 cm is:

a) 90π cm²
b) 120π cm²
c) 150π cm²
d) 180π cm²
Answer: c)

See More other than MCQs of Mathematics Quizzes

Free Online Tests of Verbal Intelligence Tests

Free Online Tests of Non verbal Intelligence Tests

Online Quiz of English Tests

Online Quiz Maths Tests

Free Online Practice of Physics

Free Online Tests of Biology Tests

Online Quiz of General Knowledge

How to Join Pak Army?

Join Shaheen Forces Academy YouTube

Join Facebook Page of Shaheen Forces Academy

Join Free WhatsApp Group

Titan Intelligence 2026

Fortify your logical defenses for the 2026 screening. Access verified Verbal and Non-Verbal reasoning banks for Pakistan Army, Navy, and PAF officer selection.

Verbal Tests-1 (Basic) Verbal Tests-2 (Advance) Verbal Tests-3 (Premium) Non-Verbal (Basic) Non-Verbal (Advance) Forge Notes

Army Navy PAF Success Hub

The 2026 armored core for military preparation. Download alloy-verified PDF past papers and master ISSB and Cadet College entrance exams with titan focus.