Why PAF College Sargodha Math Past Papers Are Essential for Admission Preparation

If you’re aiming to secure a seat at the prestigious PAF College Sargodha and excel in the admission process, preparing well for the mathematics section is crucial. The PAF College Sargodha Math Past Papers are a valuable resource for those looking to gain a deeper understanding of the types of questions and the level of difficulty they can expect in the entrance exam. By practicing these past papers, prospective cadets can familiarize themselves with the test format, identify frequently asked topics, and strengthen their problem-solving skills. This focused preparation will significantly enhance your chances of achieving success in the PAF College Sargodha admission test and help you aim for 100% success in securing your place.

How Practicing PAF College Sargodha Math Past Papers Can Ensure Success in the Entrance Exam

Most important Sargodha Math Past Papers are given for your best preparation,

Q: If 6 articles cost Rs. 222, what is the cost of 5 articles?
(a) 259
(b) 185
(c) 200
(d) 37
(e) 175
Answer: (b) 185

Q: An article is priced at Rs. 50.00. If it is sold at a 15% reduction, find its new sale price?
(a) 47
(b) 57.50
(c) 42.50
(d) 35
(e) 65
Answer: (c) 42.50

Q: The ratio of 3m to 18 cm is the same as:
(a) 3/18
(b) 30/18
(c) 50/3
(d) 3/50
(e) 18/3
Answer: (c) 50/3

Q: One-ninth of the sum of 54 and 27 when added to 63 is:
(a) 19
(b) 144
(c) 72
(d) 16
(e) 792
Answer: (c) 72

Q: 16.2x = 21, what is the value of x?
(a) 1
(b) 1.29
(c) 2.75
(d) 185
(e) –5
Answer: (b) 1.29

Q: If x = 2, y = –1, z = –3, what is the value of y³ – z³ + 3xyz?
(a) –10
(b) 24
(c) 34
(d) 44
(e) 46
Answer: (d) 44

Q: A boy was given a weekly pocket money of Rs. ‘p’ in ‘q’ weeks. If he spends Rs. ‘r’, how much in Rs. did he save?
(a) (p – r)q
(b) p – r
(c) qr – p
(d) pq – r
(e) p – qr
Answer: (d) pq – r

Q: If P = {1, 2, 3, 4, 5} and Q = {3, 4, 5, 6, 7}, then P ∩ Q is:
(a) {1, 2}
(b) {6, 7}
(c) {8, 9}
(d) {3, 4, 5}
(e) {1, 2, 3, 4, 5, 8, 9}
Answer: (d) {3, 4, 5}

Q: Write the ratio 20 : 65 in the form 1 : n where ‘n’ is a decimal.
(a) 1 : 3.25
(b) 1 : 32.5
(c) 1 : 0.325
(d) 1 : 6.5
(e) 1 : 0.235
Answer: (a) 1 : 3.25

Q: A rectangle measures 0.5 cm by 1.7 cm. What is the area of the rectangle?
(a) 0.9369 cm²
(b) 0.9 cm²
(c) 0.7425 cm²
(d) 0.85 cm²
(e) 0.875 cm²
Answer: (d) 0.85 cm²

Q: The volume of a cuboid similar to one measuring 2 cm × 3 cm × 6 cm, but whose sides are 3 times larger, is:
(a) 972 cm³
(b) 108 cm³
(c) 36 cm³
(d) 96 cm³
(e) 536 cm³
Answer: (a) 972 cm³

Q: Shahid estimated the length of a room as 20m. He overestimated by 25%. What is the true length?
(a) 4m
(b) 24m
(c) 26m
(d) 36m
(e) 15m
Answer: (e) 15m

Q: Simplify 144a²x² ÷ 12ax³.
(a) 6x
(b) 6a
(c) ax
(d) 12a/x
(e) 6/x a
Answer: (d) 12a/x

Q: Simplify (x + 3)(x + 2) – (x + 4)(x – 3).
(a) x – 8
(b) 2x + 4
(c) 4x + 18
(d) x + 12
(e) 2(2x – 9)
Answer: (c) 4x + 18

Q: A cubic centimetre is a unit of:
(a) Length
(b) Area
(c) Volume
(d) Weight
(e) Speed
Answer: (c) Volume

Q: A square and a rectangle have equal areas. If the length of the rectangle is 25m and width 16m, what is the length of the side of the square?
(a) 18m
(b) 19m
(c) 20m
(d) 21m
(e) 22m
Answer: (c) 20m

Q: 7/3 + 7/3 =
(a) 8/10
(b) 10/10
(c) 98/21
(d) 15/20
Answer: (c) 14/3 (or 98/21 simplified)

Q: (a – b)² =
(a) a² + b² + 2ab
(b) a² – 2ab + b²
Answer: (b) a² – 2ab + b²

Q: 2 + 2 × 2 =
(a) 8
(b) 6
(c) 4
(d) 12
Answer: (b) 6

Q: √10095 ≈
(a) 316.33793
(b) 100.47387
(c) 33.090784
(d) 201.157
Answer: (a) 316.33793 (approximate)

Q: Rate of Zakat =
(a) 2.6%
(b) 4.2%
(c) 5%
(d) 2.5%
Answer: (d) 2.5%

Q: Common fractions are of ……… kinds:
(a) Five
(b) Four
(c) Three
(d) Two
Answer: (c) Three

Q: Naeem sold a computer in Rs. 25000 at which he suffered 20% loss. The purchase price of the computer is:
(a) Rs. 25,200
(b) Rs. 30,000
(c) Rs. 25,250
(d) Rs. 31,250
Answer: (b) Rs. 30,000

Q: When we subtract –750 from –250 answer is:
(a) –1000
(b) 1000
(c) 500
(d) –500
Answer: (c) 500

Q: Ahmed sells a motorcycle for Rs. 33000. He bought it for Rs. 35000. His loss percentage is:
(a) 5 4 %7
(b) 5 5 %7
(c) 5 6 %7
(d) 5 7 %7
Answer: (a) 5 4 %7

Q: Rs. 936 is the sum of three shares x, y, z. If 3x = 4y = 6z then share of x, y, z is:
(a) 416, 312, 208
(b) 420, 310, 210
(c) 208, 312, 416
(d) 400, 300, 200
Answer: (a) 416, 312, 208

Best MCQs for Effective Study of PAF College Sargodha Math Past Papers

If you are searching Sargodha Math Past Papers then learn the given high scoring mcqs.

Q: Complement of empty set =
(a) { }
(b) {U}
(c) A∪B
(d) A∪B′
Answer: (b) {U} (Universal set)

Q: If x = 3, y = 2, z = 1, what is the value of (3x³y³z³ – 3xyz)/(x² – y²)?
(a) 25/6
(b) 2
(c) 8/25
(d) 16/25
Answer: (a) 25/6

Q: The solution set of 11x + 1 = 7x + 5 is:
(a) {2}
(b) {1, –1, 5}
(c) {1}
(d) {1, 5}
Answer: (c) {1}

Q: The value of x in the equation 12 + ½(x – 2) = ¼(x – 7) is:
(a) 5
(b) 49
(c) 53
(d) None of these
Answer: (b) 49

Q: If a + b = 6 & a – b = 10, then the value of a² – b² is:
(a) 66
(b) 64
(c) 60
(d) 68
Answer: (c) 60

Q: If a rectangular field is 10.01m by 300m, the perimeter is:
(a) 3003m
(b) 3000m
(c) 300m
(d) 620m
Answer: (d) 620.02m (approximate options may vary)

Q: If the area of a square is 44100m², the length of one side is:
(a) 210m
(b) 244m
(c) 220m
(d) 410m
Answer: (a) 210m

Q: Square, rectangle and parallelogram can also be known as:
(a) Polygon
(b) Hexagon
(c) Pentagon
(d) Octagon
Answer: (a) Polygon

Q: Pythagoras theorem is true for:
(a) All types of triangles
(b) Squares
(c) Only for right-angled triangles
(d) Hexagon
Answer: (c) Only for right-angled triangles

Q: The volume of a cone = (1/3)πr²h. If r = 15m, h = 28m, its volume will be:
(a) 6500 m³
(b) 6600 m³
(c) 6432 m³
(d) 6501 m³
Answer: (b) 6600 m³ (Exact: 6600π ≈ 6600 × 3.14 ≈ 20724 m³, but closest option is 6600 m³)

Q: Two angles with a common vertex and a common ray are called:
(a) Complementary
(b) Supplementary
(c) Reflex angles
(d) Adjacent angles
Answer: (d) Adjacent angles (Note: Options in the original question had a repetition; “adjacent” is the correct term.)

Q: Which one is an open sentence?
(a) x – 3 = 4
(b) 7 – 3 = 4
(c) 5 – 3 = 4
(d) 3 – 5 = –2
Answer: (a) x – 3 = 4 (An open sentence has a variable.)

Q: If –x > –2, then certainly:
(a) x < 2
(b) x > –2
(c) –x + x > 0
(d) x – 2 > 0
Answer: (a) x < 2 (Multiplying/dividing inequalities by a negative reverses the sign.)

Q: a² – b² is equal to:
(a) a² – 2ab + b²
(b) (a + b)(a – b)
(c) (a – b)(a² + ab + b²)
(d) (a – b)(a – b)
Answer: (b) (a + b)(a – b)

Q: In (5x²y + 15xy² + 25yz²) ÷ 5xyz, the quotient is:
(a) x/y + y/z + z/x
(b) y/x + x/z + z/x
(c) x/z + 3y/z + 5z/x
(d) y/x + z/y + y/z
Answer: (c) x/z + 3y/z + 5z/x
Simplification:

• (5x²y ÷ 5xyz) = x/z
• (15xy² ÷ 5xyz) = 3y/z
• (25yz² ÷ 5xyz) = 5z/x

Q: The square root of 0.0002679769 is:
(a) 0.01637
(b) 0.1052
(c) 0.00123
(d) 0.10123
Answer: (a) 0.01637 (√0.0002679769 ≈ 0.01637, as 0.01637² ≈ 0.0002679769)

Q: The wages of 18 men for 12 days is Rs. 6480. How many men will earn Rs. 5760 in 8 days:
(a) 15
(b) 18
(c) 24
(d) 12
Answer: (a) 15

Q: If Fahad’s age is 16 years 8 months, Ali’s age is 13 years 4 months. The ratio in their ages:
(a) 5/2 : 2
(b) 5 : 6
(c) 3 : 6
(d) 5 : 4
Answer: (d) 5 : 4

Q: The compound interest of Rs. 6400 at 15/4% for 2 years is:
(a) Rs. 489
(b) Rs. 569
(c) Rs. 490
(d) Rs. 495
Answer: (c) Rs. 490

Q: x³ is equal to:
(a) x.x.x
(b) x+x+x
(c) x/3
(d) 1/x.1/x.1/x
Answer: (a) x.x.x

Q: a b⁺ is equal to:
(a) a b +
(b) a² + b²
(c) a b +
(d) None of these
Answer: (d) None of these

Q: Set of first four multiples of 6 is written in tabular form as:
(a) {6, 12, 13, 24}
(b) {1, 2, 3, 6}
(c) {12, 18, 36, 60}
(d) {6, 12, 18, 24}
Answer: (d) {6, 12, 18, 24}

Q: Commutative property holds with respect to ……… on directed numbers:
(a) Addition
(b) Multiplication
(c) Subtraction
(d) Both A & B
Answer: (d) Both A & B

Q: ……… decimal fraction can easily be converted to rational numbers:
(a) Recurring
(b) Non terminating
(c) Terminating
(d) Non recurring
Answer: (c) Terminating

Q: Square root of 13381 is:
(a) 256 81
(b) 13 39
(c) 9 17
(d) 7 19
Answer: (d) 7 19

Exam Pattern Through PAF College Sargodha Math Past Papers

Current Sargodha Math Past Papers which help to get 100% results in 8th class admission of Sargodha Cadet College.

Q: Naveed purchased a radio in Rs. 200 and sold in Rs. 150. Profit or loss percent is:
(a) 20% profit
(b) 20% loss
(c) 25% profit
(d) 25% loss
Answer: (d) 25% loss

Q: A polynomial of degree ……… is called linear polynomial:
(a) Two
(b) Three
(c) One
(d) Four
Answer: (c) One

Q: By subtracting the product of (3x + 2) and (2x – 5) from 6x² – 5x + 3, we get:
(a) –16x – 13
(b) –6x + 13
(c) 6x – 13
(d) 6x + 13
Answer: (a) –16x – 13

Q: If x is a positive integer then the sentence x ≤ 4 is true for values of x as:
(a) 0, 1, 2, 3
(b) 1, 2, 3
(c) 0, 1, 2, 3, 4
(d) 1, 2, 3, 4
Answer: (c) 0, 1, 2, 3, 4

Q: If 3 is subtracted from 3 times of a number the remainder is 12. The number will be:
(a) 5
(b) 15
(c) 51
(d) 9
Answer: (b) 15

Q: The expression x/3 + y/4 can be written as:
(a) (12x + 12y) / 12
(b) (4x + 3y) / 12
(c) (4y + 3x) / 12
(d) (x + y) / 12
Answer: (b) (4x + 3y) / 12

Q: The diameter of Gulzaib’s cycle is 84 cm. He reaches school by completing 300 rounds of the wheel. The distance from house to school is:
(a) 25200 cm
(b) 2800 cm
(c) 792 m
(d) 252 m
Answer: (c) 792 m

Q: Radius of the oil tank is 3.5 m and its length is 6 m. The cost of polishing the internal surface at the rate of Rs. 10 per square metre is:
(a) Rs. 1902
(b) Rs. 1230
(c) Rs. 1203
(d) Rs. 2090
Answer: (a) Rs. 1902

Q: Volume of a cylinder is 5390 cm³ and radius of its base is 7 cm. The height of the cylinder is:
(a) 77 cm
(b) 35 cm
(c) 53 cm
(d) 52 cm
Answer: (a) 77 cm

Q: The diameter of a circle is 14 cm. Its radius is:
(a) 176 cm
(b) 28 cm
(c) 14 cm
(d) 7 cm
Answer: (d) 7 cm

Q: The pie graph is also called ……… graph:
(a) Bar graph
(b) Circular graph
(c) Frequency graph
(d) None of these
Answer: (b) Circular graph

Q: The number of values included in an interval is called the ……… of the interval:
(a) Lower limit
(b) Upper limit
(c) Frequency
(d) Size
Answer: (d) Size

Q: The size of interval (2x – 10x) is:
(a) 20x
(b) 12x
(c) 9x
(d) 8x
Answer: (b) 12x

Q: If x = 3, y = –1, z = 2 the value of (x + 1/x) + (y + 1/y) + (z + 1/z) is:
(a) 23/5
(b) 23/6
(c) 22/7
(d) 25/6
Answer: (b) 23/6

Q: 24 ÷ 12 – 3 × 2 is same as:
(a) 4
(b) –4
(c) –2
(d) None of these
Answer: (b) –4

Q: Asad had Rs. 50,000 in his account. If he gets 3.5% profit, his total amount is:
(a) Rs. 175000
(b) Rs. 1750
(c) Rs. 51750
(d) Rs. 48250
Answer: (c) Rs. 51750

Q: Loss percentage = ………
(a) Loss / sale price × 100
(b) Profit / loss × 100
(c) Loss / purchase price × 100
(d) Profit / purchase price × 100
Answer: (c) Loss / purchase price × 100

Q: Surface area of cylinder = ………
(a) 2πrh
(b) πr² + πrh
(c) 2πr(r + h)
(d) 2πr
Answer: (c) 2πr(r + h)

Q: If m∠A = 80° and m∠B = 20° then m∠C = …… of triangle ABC.
(a) 90°
(b) 80°
(c) 60°
(d) 45°
Answer: (c) 60°

Q: Area of circle is ………
(a) 2πr
(b) πr²
(c) πr²h
(d) None of these
Answer: (b) πr²

Q: If x : 6 = 1/8 : 1/4 then value of x will be
(a) 3
(b) 1/3
(c) 12
(d) 4/3
Answer: (a) 3

Q: Find result of √64 × √225
(a) 90
(b) 8 × 25
(c) 8 × 15
(d) 60
Answer: (c) 8 × 15

Q: The area of square region is 4.41 m². Find the length of the side.
(a) 21/100 m
(b) 2.1 m
(c) 5.4 m
(d) 3.1 m
Answer: (b) 2.1 m

Q: Concept of set was given by
(a) George Cantor
(b) Euler
(c) Gunter
(d) None of these
Answer: (a) George Cantor

Q: Commutative property of union is
(a) X∪(Y∪Z) = (X∪Y)∪Z
(b) X∪Y = X∪Y
(c) X∪Y = Y∪X
(d) None of these
Answer: (c) X∪Y = Y∪X

How PAF College Sargodha Math Past Papers Help You Master Key Mathematical Concepts for Admission in 8th class

Most important Sargodha Math Past Papers with answers are given below;

Q: (–612) – (+710) = ………
(a) 1322
(b) 98
(c) –98
(d) –1322
Answer: (d) –1322

Q: l/m + n/p = ………
(a) ln/mp
(b) (l – n)/mp
(c) mp(l + n)
(d) (lp + nm)/mp
Answer: (d) (lp + nm)/mp

Q: (positive number) – (negative number) = ………
(a) Positive number
(b) Negative number
(c) Both
(d) None of these
Answer: (a) Positive number

Q: (x³ + 1) ÷ (x + 1)
(a) x² – x + 1
(b) x² + x – 1
(c) x² + x + 1
(d) x² – x – 1
Answer: (c) x² + x + 1

Q: Degree of polynomial xy³ + x²y⁵ + x³y⁷ + xy + 5 is:
(a) 7
(b) 10
(c) 4
(d) 5
Answer: (b) 10

Q: Polynomial having no degree is called ……… polynomial
(a) Constant
(b) Zero
(c) Linear
(d) None of these
Answer: (b) Zero

Q: p/q ÷ r/s = ………
(a) pr/qs
(b) qr/ps
(c) ps/qr
(d) None of these
Answer: (a) pr/qs

Q: x³ × x² = ………
(a) x⁵
(b) x⁴
(c) x⁶
(d) x⁹
Answer: (a) x⁵

Q: If set A = {l, m, n, p}, then how many subsets of set A are possible.
(a) 12
(b) 4
(c) 16
(d) 8
Answer: (c) 16

Q: Volume of cylinder is
(a) 2πr
(b) πr²
(c) 2πrh
(d) πr²h
Answer: (d) πr²h

Q: {1, 2, 3} ∩ {3, 4, 5} is equal to
(a) {3, 4}
(b) {1, 2}
(c) {3}
(d) {1, 2, 3}
Answer: (c) {3}

Q: The sentence x > 5 is true for
(a) x = 4
(b) x = 5
(c) x = 7
(d) None of these
Answer: (c) x = 7

Q: (–5)[(–3) + (+2)] is equal to
(a) –25
(b) –5
(c) 5
(d) 10
Answer: (b) –5

Q: Find square root of 16
(a) 16
(b) 2
(c) 4
(d) None of these
Answer: (c) 4

Q: [–6/5] ÷ [–4/5] = ………
(a) –2/3
(b) –3/2
(c) +2/3
(d) +3/2
Answer: (d) +3/2

Q: If P = set of first five whole numbers, and Q = Set of first four positive even numbers then P ∩ Q is:
(a) {2, 4}
(b) {0, 2, 4}
(c) {1, 2, 3, 4, 5, 6, 8}
(d) {2, 4, 6}
Answer: (b) {0, 2, 4}

Q: All integers are also ………
(a) Rational numbers
(b) Irrational numbers
(c) Natural numbers
(d) Whole numbers
Answer: (a) Rational numbers

Q: The square of any number can be found by multiplying that number ………
(a) 4 times
(b) 2 times
(c) 3 times
(d) None of these
Answer: (b) 2 times

Q: If the area of square region is 4.41 m², then the length of one side will be:
(a) 4.41 m
(b) 2.1 m
(c) 3.1 m
(d) 0.4 m²
Answer: (b) 2.1 m

Q: Area of square field is 6400 m². How much long wire is required for its boundary?
(a) 80 m
(b) 320 m
(c) 160 m
(d) 240 m
Answer: (b) 320 m

Q: In a class of 50 students, 15 students received grade A and rest of them received grade B. What percentage of the class received grade B?
(a) 30%
(b) 70%
(c) 25%
(d) 35%
Answer: (b) 70%

Q: 78.5% is same as:
(a) 0.000785
(b) 0.00785
(c) 0.075
(d) 0.785
Answer: (d) 0.785

Q: If x : y = 1/4 : 1/3 and y : z = 1/2 : 1/5 then x : y : z is ………
(a) 3 : 4 : 2
(b) 20 : 15 : 8
(c) 8 : 20 : 15
(d) 15 : 20 : 8
Answer: (c) 8 : 20 : 15

Q: Profit percent = profit × 100 / ………
(a) Sale price
(b) Cost price
(c) Both A and B
(d) None of these
Answer: (b) Cost price

Q: The indices of the variables involved in an algebraic expression are either zero or ………
(a) Positive whole numbers
(b) Negative integers
(c) Positive even numbers
(d) Negative odd numbers
Answer: (a) Positive whole numbers

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FAQs

Q1: What is the importance of practicing PAF College Sargodha Math Past Papers for the admission test?
Ans: Practicing the PAF College Sargodha Math Past Papers helps you understand the exam pattern, boosts your confidence, and identifies key areas where you need improvement. It is a great way to familiarize yourself with the types of questions asked, ensuring better preparation for the admission test.

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Q2: Where can I find the PAF College Sargodha Math Past Papers?
Ans: PAF College Sargodha Math Past Papers can be found online on educational websites, forums, or dedicated groups for cadet college preparation. Many resources provide these papers for free or at a nominal cost to help students prepare effectively.

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Q3: How many years of past papers should I practice to prepare for the PAF College Sargodha math exam?
Ans: It’s ideal to practice at least 3-5 years of PAF College Sargodha Math Past Papers to get a clear understanding of the exam pattern and commonly asked questions. This gives you a well-rounded idea of the test’s difficulty and topics.

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Q4: Will practicing PAF College Sargodha Math Past Papers guarantee success in the admission test?
Ans: While practicing past papers significantly improves your preparation, success also depends on consistent study, understanding of fundamental concepts, and time management during the exam. PAF College Sargodha Math Past Papers are a helpful tool but should be complemented with a comprehensive study plan.

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Q5: How can I use the PAF College Sargodha Math Past Papers most effectively?
Ans: To use the PAF College Sargodha Math Past Papers effectively, solve them under timed conditions, review your answers thoroughly, and identify areas where you struggle. Focus on weak areas and revise key concepts regularly. This approach will enhance your problem-solving skills and improve performance in the actual exam.

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