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PPSC One-Paper MCQ Test Mathematics & Computer Science Syllabus
The Mathematics & Computer Science syllabus for PPSC One-Paper MCQ Test in full: 4 chapters and 14 topics, every one listed below, plus 50 Mathematics & Computer Science flashcards with answers.
Mathematics & Computer Science syllabus: all 4 chapters
Expand any chapter to see its topics and sub-topics.
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Arithmetic
4 topics- Percentages, Ratio & Proportion
- Profit, Loss & Discount
- Average, Time & Work
- Time, Speed & Distance
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Algebra & Geometry
3 topics- Equations & Expressions
- Areas & Perimeters
- Basic Geometry & Angles
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Number System
3 topics- LCM & HCF
- Fractions & Decimals
- Simple & Compound Interest
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Computer Fundamentals
4 topics- Hardware & Software
- Operating Systems & MS Office
- Networking & Internet
- Abbreviations & Generations of Computers
PPSC One-Paper MCQ Test Mathematics & Computer Science flashcards — 50 questions with answers
What is the formula to express a fraction or part as a percentage?
Percentage = (Part / Whole) x 100. For example, 20 out of 50 = (20/50) x 100 = 40%.
If a number is increased by 25% and then decreased by 25%, what is the net percentage change?
A net decrease of 6.25%. Using a/b successive change formula: +25 - 25 - (25x25)/100 = -6.25%.
Define ratio and proportion.
A ratio is a comparison of two quantities of the same kind (a:b). A proportion is a statement that two ratios are equal (a:b = c:d), where the product of means equals the product of extremes (bc = ad).
If a:b = 2:3 and b:c = 4:5, what is a:b:c?
a:b:c = 8:12:15. Make b common: a:b = 8:12 and b:c = 12:15, giving 8:12:15.
What is the formula for Profit Percentage and Loss Percentage?
Profit% = (Profit / Cost Price) x 100; Loss% = (Loss / Cost Price) x 100. Both are always calculated on the Cost Price (CP).
How is Selling Price (SP) found when Cost Price and gain percentage are known?
SP = CP x (100 + Gain%)/100. For a loss, SP = CP x (100 - Loss%)/100.
How is discount calculated, and on what amount is it applied?
Discount = Marked Price x Discount%/100. Discount is always calculated on the Marked Price (List Price), not the cost price. Selling Price = Marked Price - Discount.
A shopkeeper marks an item 40% above cost and gives a 10% discount. What is the net profit percentage?
26%. Let CP = 100, MP = 140, SP after 10% discount = 126, so profit = 26%.
What is the formula for average (arithmetic mean)?
Average = (Sum of all observations) / (Number of observations).
The average of 10 numbers is 25. If one number 30 is removed, what is the new average?
About 24.44. Total sum = 250; after removing 30, sum = 220 over 9 numbers = 220/9 ≈ 24.44.
In Time and Work, if A can do a job in 'n' days, what fraction of work does A do in one day?
1/n of the work per day. The one-day work (work rate) is the reciprocal of the total days taken.
If A can complete a work in 10 days and B in 15 days, how long will they take working together?
6 days. Combined one-day work = 1/10 + 1/15 = 1/6, so together they finish in 6 days.
State the basic relationship between Speed, Distance, and Time.
Speed = Distance / Time; Distance = Speed x Time; Time = Distance / Speed.
How do you convert a speed from km/hr to m/s?
Multiply by 5/18. For example, 36 km/hr = 36 x 5/18 = 10 m/s. To convert m/s to km/hr, multiply by 18/5.
How do you compute relative speed for two objects moving toward each other and in the same direction?
Moving toward each other (opposite directions): add the speeds. Moving in the same direction: subtract the speeds.
A train 100 m long travels at 36 km/hr. How long does it take to cross a pole?
10 seconds. Speed = 36 km/hr = 10 m/s; time = distance/speed = 100/10 = 10 seconds.
Solve the linear equation 3x + 7 = 22 for x.
x = 5. Subtract 7 from both sides: 3x = 15; divide by 3: x = 5.
What is the standard form of a quadratic equation and its quadratic formula?
Standard form: ax^2 + bx + c = 0 (a ≠ 0). Quadratic formula: x = [-b ± √(b^2 - 4ac)] / 2a.
What does the discriminant (b^2 - 4ac) tell you about a quadratic equation's roots?
If > 0, two distinct real roots; if = 0, two equal (one repeated) real roots; if < 0, two complex (no real) roots.
Expand the algebraic identity (a + b)^2 and (a - b)^2.
(a + b)^2 = a^2 + 2ab + b^2; (a - b)^2 = a^2 - 2ab + b^2.
Show the other 30 Mathematics & Computer Science flashcards
What is the identity for the difference of two squares, a^2 - b^2?
a^2 - b^2 = (a + b)(a - b).
What is the formula for the area and perimeter of a rectangle?
Area = length x width; Perimeter = 2 x (length + width).
What is the formula for the area and circumference of a circle?
Area = πr^2; Circumference = 2πr (or πd), where r is the radius and d is the diameter.
What is the formula for the area of a triangle?
Area = 1/2 x base x height. (Heron's formula: √[s(s-a)(s-b)(s-c)] where s = (a+b+c)/2.)
State the Pythagorean theorem.
In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides: c^2 = a^2 + b^2.
What is the formula for the area and perimeter of a square with side 's'?
Area = s^2; Perimeter = 4s. The diagonal of a square = s√2.
Define acute, right, obtuse, straight, and reflex angles by their degree measures.
Acute: less than 90 degrees; Right: exactly 90 degrees; Obtuse: between 90 and 180 degrees; Straight: exactly 180 degrees; Reflex: between 180 and 360 degrees.
What are complementary angles and supplementary angles?
Complementary angles sum to 90 degrees; supplementary angles sum to 180 degrees.
What is the sum of the interior angles of a triangle and of a quadrilateral?
Triangle: 180 degrees; Quadrilateral: 360 degrees. The sum of interior angles of an n-sided polygon = (n-2) x 180 degrees.
Define LCM and HCF (GCD).
LCM (Least Common Multiple) is the smallest number divisible by each of the given numbers. HCF/GCD (Highest Common Factor) is the largest number that divides each of the given numbers exactly.
What is the relationship between the product of two numbers and their LCM and HCF?
Product of two numbers = LCM x HCF. So LCM x HCF = first number x second number.
Find the LCM and HCF of 12 and 18.
HCF = 6 and LCM = 36. (12 = 2^2 x 3; 18 = 2 x 3^2; HCF = 2 x 3 = 6; LCM = 2^2 x 3^2 = 36.)
How do you convert the fraction 3/4 into a decimal and a percentage?
3/4 = 0.75 as a decimal and 75% as a percentage (multiply the decimal by 100).
What is the difference between a terminating and a recurring (non-terminating repeating) decimal?
A terminating decimal ends after a finite number of digits (e.g., 0.25). A recurring decimal has a digit or block that repeats infinitely (e.g., 1/3 = 0.333...).
State the formula for Simple Interest.
Simple Interest (SI) = (P x R x T) / 100, where P = Principal, R = Rate per annum, T = Time in years. Amount = P + SI.
State the formula for Compound Interest (compounded annually).
Amount A = P(1 + R/100)^T; Compound Interest = A - P, where P = Principal, R = Rate, T = Time in years.
What is the key difference between Simple Interest and Compound Interest?
Simple Interest is calculated only on the original principal each period. Compound Interest is calculated on the principal plus accumulated interest, so interest earns interest.
What is the difference between computer hardware and software?
Hardware is the physical, tangible components of a computer (CPU, RAM, monitor, keyboard). Software is the set of programs and instructions that tell the hardware what to do.
What is the CPU, and what are its two main components?
The CPU (Central Processing Unit) is the 'brain' of the computer. Its two main parts are the ALU (Arithmetic Logic Unit) for calculations/logic and the CU (Control Unit) that directs operations.
What is the difference between RAM and ROM?
RAM (Random Access Memory) is volatile temporary memory that loses data when power is off. ROM (Read Only Memory) is non-volatile permanent memory that retains data without power.
What is the difference between system software and application software?
System software manages hardware and runs the computer (e.g., operating systems, device drivers). Application software performs specific user tasks (e.g., MS Word, web browsers, games).
What is an operating system, and give three examples.
An operating system (OS) is system software that manages hardware, software resources, and provides services for programs. Examples: Windows, Linux, macOS, Android, iOS.
Which keyboard shortcuts in MS Office perform Copy, Cut, Paste, Undo, and Save?
Copy = Ctrl+C, Cut = Ctrl+X, Paste = Ctrl+V, Undo = Ctrl+Z, Save = Ctrl+S.
What are the default file extensions for MS Word, MS Excel, and MS PowerPoint documents?
MS Word: .docx; MS Excel: .xlsx; MS PowerPoint: .pptx (older formats: .doc, .xls, .ppt).
In MS Excel, what is a cell, and what symbol begins a formula?
A cell is the intersection of a row and a column where data is entered. Every formula begins with the equals sign (=), e.g., =SUM(A1:A5).
What is a computer network, and what do LAN, WAN, and MAN stand for?
A computer network connects two or more computers to share resources and data. LAN = Local Area Network (small area), MAN = Metropolitan Area Network (city), WAN = Wide Area Network (large/global area, e.g., the Internet).
What do the abbreviations WWW, HTTP, URL, and IP stand for?
WWW = World Wide Web; HTTP = HyperText Transfer Protocol; URL = Uniform Resource Locator; IP = Internet Protocol.
What is the difference between the Internet and the World Wide Web?
The Internet is the global network of interconnected computers (the infrastructure). The World Wide Web (WWW) is a service running on the Internet — a system of interlinked web pages accessed via browsers.
What do the abbreviations CPU, RAM, ROM, GUI, and OS stand for?
CPU = Central Processing Unit; RAM = Random Access Memory; ROM = Read Only Memory; GUI = Graphical User Interface; OS = Operating System.
Name the technology that defined each of the five generations of computers.
1st: Vacuum tubes; 2nd: Transistors; 3rd: Integrated Circuits (ICs); 4th: Microprocessors (VLSI); 5th: Artificial Intelligence (ULSI / parallel processing).
PPSC One-Paper MCQ Test Mathematics & Computer Science FAQ
What is in the PPSC One-Paper MCQ Test Mathematics & Computer Science syllabus?
PPSC One-Paper MCQ Test Mathematics & Computer Science is split into 4 chapters: Arithmetic, Algebra & Geometry, Number System and Computer Fundamentals. Together they contain 14 topics.
How many chapters are in PPSC One-Paper MCQ Test Mathematics & Computer Science?
4 chapters, containing 14 topics. The largest chapter is Arithmetic, with 4 topics.
Are there flashcards for PPSC One-Paper MCQ Test Mathematics & Computer Science?
Yes — a 50-card Mathematics & Computer Science deck, printed in full in the flashcards section of this page and available in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.