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 b² + 4ac < 0, the roots are:

Imaginary

Real and unequal

Real and equal

Rational

2 / 50

2π is equal to ?

360

90

270

180

3 / 50

What is the value of B² - 4ac?

Midpoint

Formula for area

Vertex

Discriminant

4 / 50

Matrices do not obey which law?

Inverse law

Associative

Commutative

Distributive

5 / 50

Equation with at least power 2 is?

Rational

Quadratic

Linear

Constant

6 / 50

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

Means

Extremes

Ends

Corners

7 / 50

Cot θ equals?

sin θ/tan θ

1/sin θ

tan θ

1/tan θ

8 / 50

What is a power set?

Set of multiples

Set of even numbers

Set of odd numbers

Set of all subsets

9 / 50

Additive law of addition:

a + 0 = a

a + (−a) = 0

a − a = a

a + a = 2a

10 / 50

Pure quadratic:

ax + c = 0

bx² + ax = 0

ax² + c = 0

ax² + bx + c = 0

11 / 50

What is the Commutative Law?

a - b = b - a

a + b = b + a

a + b = a

a * b = a

12 / 50

Bᵗ = B means transpose of B is?

Identity

Diagonal

Symmetric

Skew-symmetric

13 / 50

(AB)⁻¹ = ?

A·B⁻¹

B⁻¹·A⁻¹

A⁻¹·B

B·A⁻¹

14 / 50

If angle is anti-clockwise?

Acute

Negative

Obtuse

Positive

15 / 50

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

Extremes

Middle terms

Means

Ratio heads

16 / 50

Cosec θ equals?

tan/sin

tan θ

1/sin θ

sin θ

17 / 50

Natural numbers are?

N = {½, 1, 1½,…}

N = {1, 2, 3, 4,…}

N = {–1, –2, –3,…}

N = {0, 1, 2, 3,…}

18 / 50

What is tangent?

sin/cos

opposite/adjacent

hypotenuse/base

base/hypotenuse

19 / 50

3π/2 = ?

180

360

90

270

20 / 50

A set with one element is called:

doubleton

singleton

empty set

null set

21 / 50

In a:b, “a” is known as?

Ratio

Consequent

Antecedent

Result

22 / 50

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

Ratios

Terms

Fractions

Variables

23 / 50

What is the diameter of a circle?

The longest chord that divides the circle into two halves

The circumference

The radius

A half chord

24 / 50

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

Chord

Diameter

Segment

Radius

25 / 50

Angle of elevation means?

Angle above horizontal line

Interior angle

Angle of depression

Angle measured below horizontal line

26 / 50

π/3 is equal to ?

60

45

30

90

27 / 50

Cosec is equal to:

1/sin θ

cos θ / sin θ

sin θ / cos θ

sin θ / tan θ

28 / 50

If angle is clockwise, it is?

Neutral

Negative

Zero

Positive

29 / 50

tan θ = ?

cos θ / sin θ

sin θ / cos θ

1 / sin θ

sin θ / tan θ

30 / 50

Quadratic equation:

ax³ + bx² + c = 0

ax² + bx + c = 0

x² + y² = r²

ax + b = 0

31 / 50

What is Inverse Law?

When variables remain constant

When both decrease together

One increases, other decreases

When both variables increase

32 / 50

Sin(θ) equals?

cos θ / tan θ

1/cosec θ

1/sec θ

tan θ / cot θ

33 / 50

What are Matrices?

2D array of numbers

List of numbers

1D collection of numbers

A graph of values

34 / 50

tan θ = ?

1 / sin θ

sin θ / cos θ

cos θ / sin θ

sin θ × cos θ

35 / 50

Sum of angles is 180 is called?

Reflex angle

Complimentary

Acute angle

Supplementary

36 / 50

If sum of angles is 90°, it is:

linear

complementary

vertical

supplementary

37 / 50

What is Additive Inverse Property?

a + a = 2a

a + 0 = a

a + (−a) = 0

a - a = a

38 / 50

What type of equation is x² - 16 = 0?

Polynomial

Pure quadratic

Linear

Cubic

39 / 50

0° to 90° lies in which quadrant?

1st

4th

3rd

2nd

40 / 50

X₁ + X₂ + X₃ + ... + Xₙ is called?

Mode

Range

Arithmetic Mean

Median

41 / 50

An equilateral triangle has:

All sides and all angles equal

All angles different

Two angles of 90°

One side double than other

42 / 50

If aˣ = y, then x = ?

a log y

log a (y)

log y / a

logₐ(y)

43 / 50

x³ + 8 = ?

(x − 2)(x² + 2x − 4)

(x + 2)(x² − 4x + 4)

(x² + 4)(x + 2)

(x + 2)(x² − 2x + 4)

44 / 50

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

a:b::c:d

a=b=c=d

a/b=c/d

ab:cd

45 / 50

In a:b, “b” is known as?

First term

Mean

Consequent

Antecedent

46 / 50

What defines a Right Triangle?

All sides equal

All angles 60°

One angle 90°

Two equal sides

47 / 50

Radical equation:

contains absolute value

variable in exponent

contains powers only

variable inside a root

48 / 50

Two matrices are equal if:

Their rows are equal

Their elements are same but sizes are different

Their sizes are equal only

Their sizes and corresponding elements are same

49 / 50

Cos(θ) equals?

1/tan θ

1/sec θ

1/sin θ

sin θ

50 / 50

What is a Transpose in matrices?

Adding elements row-wise

Finding determinant

Switching rows & columns

Converting into diagonal

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

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