PAF Matric Career Math Quiz | Pro Genius Forces Academy

⚔️ Forces Matric Career – Math Test : Forces Matric Base Quiz ⚔️
This test is specially designed for students who dream of joining the Pakistan Army, Air Force, Navy, or AFNS after matric. It also strengthens students’ academic foundation in mathematics and boosts their confidence for competitive entry tests and school exams.

🎯 What This Test Will Prepare You For
• Strong understanding of basic math operations (algebra, arithmetic, etc.)
• Improved speed and accuracy in MCQ-solving
• Confidence for forces entry tests and academic assessments

⏱️ Test Format & Duration
• Total MCQs: 50
• Time Limit: 18 minutes
• Question Type: Multiple Choice Questions
• Passing Marks: 50%

🚀 Boost Your Mind – Prepare Like a Future Soldier!
💪 Stay confident, stay sharp — your journey to serve the nation begins here!

PAF Matric Math Test 01

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1 / 50

If angle is clockwise, it is?

Zero

Negative

Positive

Neutral

2 / 50

Matrices do not obey which law?

Distributive

Commutative

Associative

Inverse law

3 / 50

Cos(θ) equals?

1/sec θ

1/sin θ

sin θ

1/tan θ

4 / 50

tan θ = ?

sin θ / cos θ

1 / sin θ

sin θ / tan θ

cos θ / sin θ

5 / 50

Cosec θ equals?

tan θ

1/sin θ

sin θ

tan/sin

6 / 50

In a : b = 4 : 8, the numbers a, b, 4, and 8 are called:

Terms

Ratios

Variables

Fractions

7 / 50

If angle is anti-clockwise?

Obtuse

Positive

Acute

Negative

8 / 50

Cot θ equals?

sin θ/tan θ

1/sin θ

tan θ

1/tan θ

9 / 50

Pure quadratic:

ax + c = 0

ax² + bx + c = 0

bx² + ax = 0

ax² + c = 0

10 / 50

(AB)⁻¹ = ?

B·A⁻¹

B⁻¹·A⁻¹

A·B⁻¹

A⁻¹·B

11 / 50

tan θ = ?

sin θ × cos θ

cos θ / sin θ

sin θ / cos θ

1 / sin θ

12 / 50

In a:b::c:d, b and c are called?

Ends

Corners

Extremes

Means

13 / 50

Two matrices are equal if:

Their elements are same but sizes are different

Their rows are equal

Their sizes are equal only

Their sizes and corresponding elements are same

14 / 50

A line passing through the center of a circle is called?

Segment

Radius

Diameter

Chord

15 / 50

An equilateral triangle has:

All sides and all angles equal

One side double than other

Two angles of 90°

All angles different

16 / 50

If aˣ = y, then x = ?

log y / a

log a (y)

logₐ(y)

a log y

17 / 50

What is a Transpose in matrices?

Converting into diagonal

Adding elements row-wise

Switching rows & columns

Finding determinant

18 / 50

What is Inverse Law?

When both decrease together

When variables remain constant

When both variables increase

One increases, other decreases

19 / 50

2π is equal to ?

90

180

270

360

20 / 50

A set with one element is called:

doubleton

null set

empty set

singleton

21 / 50

What is tangent?

base/hypotenuse

opposite/adjacent

hypotenuse/base

sin/cos

22 / 50

What is Additive Inverse Property?

a - a = a

a + 0 = a

a + a = 2a

a + (−a) = 0

23 / 50

Natural numbers are?

N = {1, 2, 3, 4,…}

N = {0, 1, 2, 3,…}

N = {½, 1, 1½,…}

N = {–1, –2, –3,…}

24 / 50

If sum of angles is 90°, it is:

linear

complementary

supplementary

vertical

25 / 50

What type of equation is x² - 16 = 0?

Pure quadratic

Polynomial

Linear

Cubic

26 / 50

What is the value of B² - 4ac?

Discriminant

Midpoint

Formula for area

Vertex

27 / 50

What is the Commutative Law?

a + b = a

a * b = a

a + b = b + a

a - b = b - a

28 / 50

0° to 90° lies in which quadrant?

4th

3rd

2nd

1st

29 / 50

Additive law of addition:

a − a = a

a + 0 = a

a + (−a) = 0

a + a = 2a

30 / 50

Quadratic equation:

ax² + bx + c = 0

ax³ + bx² + c = 0

ax + b = 0

x² + y² = r²

31 / 50

Cosec is equal to:

1/sin θ

cos θ / sin θ

sin θ / tan θ

sin θ / cos θ

32 / 50

In a:b, “b” is known as?

Antecedent

Mean

Consequent

First term

33 / 50

Radical equation:

contains powers only

variable in exponent

variable inside a root

contains absolute value

34 / 50

x³ + 8 = ?

(x² + 4)(x + 2)

(x + 2)(x² − 2x + 4)

(x + 2)(x² − 4x + 4)

(x − 2)(x² + 2x − 4)

35 / 50

X₁ + X₂ + X₃ + ... + Xₙ is called?

Range

Arithmetic Mean

Mode

Median

36 / 50

Correct proportion form of a, b, c, d is:

a:b::c:d

a/b=c/d

ab:cd

a=b=c=d

37 / 50

3π/2 = ?

270

360

90

180

38 / 50

Equation with at least power 2 is?

Quadratic

Linear

Constant

Rational

39 / 50

What defines a Right Triangle?

All sides equal

Two equal sides

One angle 90°

All angles 60°

40 / 50

π/3 is equal to ?

90

45

30

60

41 / 50

What is the diameter of a circle?

The radius

A half chord

The longest chord that divides the circle into two halves

The circumference

42 / 50

If b² + 4ac < 0, the roots are:

Real and equal

Rational

Imaginary

Real and unequal

43 / 50

Sin(θ) equals?

tan θ / cot θ

1/sec θ

1/cosec θ

cos θ / tan θ

44 / 50

What are Matrices?

2D array of numbers

1D collection of numbers

A graph of values

List of numbers

45 / 50

In a:b::c:d, a and d are called?

Extremes

Means

Middle terms

Ratio heads

46 / 50

Bᵗ = B means transpose of B is?

Identity

Skew-symmetric

Diagonal

Symmetric

47 / 50

Angle of elevation means?

Angle measured below horizontal line

Angle above horizontal line

Angle of depression

Interior angle

48 / 50

Sum of angles is 180 is called?

Complimentary

Acute angle

Supplementary

Reflex angle

49 / 50

What is a power set?

Set of all subsets

Set of multiples

Set of even numbers

Set of odd numbers

50 / 50

In a:b, “a” is known as?

Antecedent

Result

Consequent

Ratio

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PAF Matric Career – Math Test 1 (Forces Matric Base Quiz)

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