Join WhatsApp ChannelDaily MCQs & Exam Updates

Mathematics MCQs

MCQs on Algebra, Calculus, Statistics and Geometry

28 Questions
Subject Preparation Guide

Prepare Mathematics with confidence

Develop speed and accuracy in arithmetic, algebra, geometry, percentages, ratios and other quantitative concepts.

ArithmeticAlgebraGeometryPercentages and Ratios
Helpful for academic exams, aptitude tests, NTS and quantitative competitive papers.
Mathematics preparation illustration
Filter: All Exams css pms fpsc ppsc nts | All Easy Medium Hard
1
Easy fpsc ppsc nts

What is the value of 3 factorial?

  • A 3
  • B 6
  • C 9
  • D 12
Permalink
Correct Answer: Option B — 6
Explanation: 3! = 3 × 2 × 1 = 6. Factorial of n is the product of all positive integers from 1 to n. Factorials appear in permutations combinations probability and the binomial theorem. Key values to memorize are: 0!=1 1!=1 2!=2 3!=6 4!=24 5!=120 6!=720 for competitive exam speed and accuracy.
Submitted by: PaperMCQs
2
Easy css fpsc ppsc nts

What is the expansion of (a + b)²?

  • A a² + b²
  • B a² - b²
  • C a² + 2ab + b²
  • D a² - 2ab + b²
Permalink
Correct Answer: Option C — a² + 2ab + b²
Explanation: (a+b)² = a² + 2ab + b². This is one of the most fundamental algebraic identities alongside (a-b)² = a²-2ab+b² and (a+b)(a-b) = a²-b². These three identities are the foundation of algebra and appear constantly in competitive exam questions. Memorizing and recognizing them is essential for quick problem solving.
Submitted by: PaperMCQs
3
Easy fpsc ppsc nts

What is the value of (3² + 4²)?

  • A 5
  • B 25
  • C 7
  • D 49
Permalink
Correct Answer: Option B — 25
Explanation: 3² = 9 and 4² = 16. Sum = 9 + 16 = 25. Notably √25 = 5 illustrating the 3-4-5 Pythagorean triple where 3² + 4² = 5². Recognizing Pythagorean triples such as 3-4-5 and 5-12-13 saves significant calculation time in competitive exam geometry distance and right triangle problems.
Submitted by: PaperMCQs
4
Easy fpsc ppsc nts

What is the perimeter of a square with side 9 cm?

  • A 27 cm
  • B 32 cm
  • C 36 cm
  • D 40 cm
Permalink
Correct Answer: Option C — 36 cm
Explanation: Perimeter of square = 4 × side = 4 × 9 = 36 cm. For a square all four sides are equal so perimeter is simply four times the side length. Knowing the relationship between side length perimeter area and diagonal of a square is a basic geometry requirement for all competitive exam mathematics sections.
Submitted by: PaperMCQs
5
Easy fpsc ppsc nts

What is the median of data: 3 7 5 9 1?

  • A 5
  • B 6
  • C 7
  • D 4
Permalink
Correct Answer: Option A — 5
Explanation: Arranging in order: 1 3 5 7 9. The middle value (3rd of 5) is 5. Median divides data into two equal halves and is unaffected by extreme outliers unlike the mean. Mean median and mode are the three measures of central tendency frequently tested in the statistics portion of competitive exam quantitative sections.
Submitted by: PaperMCQs
6
Easy fpsc ppsc nts

What is the probability of getting a head when a fair coin is tossed?

  • A 1/4
  • B 1/3
  • C 1/2
  • D 3/4
Permalink
Correct Answer: Option C — 1/2
Explanation: A fair coin has two equally likely outcomes: head and tail. Probability = favorable outcomes / total outcomes = 1/2. This foundational concept establishes equally likely outcomes. Classical probability assumes equal likelihood and forms the basis of all probability calculations from simple coin tosses to complex combinatorial problems.
Submitted by: PaperMCQs
7
Easy fpsc ppsc nts

What is the mode of data: 4 7 4 9 7 4 3?

  • A 3
  • B 4
  • C 7
  • D 9
Permalink
Correct Answer: Option B — 4
Explanation: Mode is the value appearing most frequently. In this set 4 appears three times more than any other making 4 the mode. A data set can be unimodal bimodal or multimodal. Mode is especially useful for categorical data and is one of the three measures of central tendency alongside mean and median.
Submitted by: PaperMCQs
8
Easy fpsc ppsc nts

The volume of a cube with side 5 cm is?

  • A 100 cm³
  • B 115 cm³
  • C 125 cm³
  • D 130 cm³
Permalink
Correct Answer: Option C — 125 cm³
Explanation: Volume of cube = side³ = 5×5×5 = 125 cm³. Volume formulas for cube cuboid cylinder cone and sphere are standard in competitive exam geometry. These problems often combine volume with surface area calculations or require unit conversions making accurate formula recall a critical competitive exam skill.
Submitted by: PaperMCQs
9
Easy fpsc ppsc nts

What is the area of a triangle with base 10 cm and height 6 cm?

  • A 25 cm²
  • B 30 cm²
  • C 35 cm²
  • D 40 cm²
Permalink
Correct Answer: Option B — 30 cm²
Explanation: Area of triangle = (1/2) × base × height = (1/2) × 10 × 6 = 30 cm². This formula applies to all triangles when the perpendicular height is known. For triangles where only sides are given Heron's formula is used. Triangle area calculations are fundamental and appear across all competitive exam geometry sections.
Submitted by: PaperMCQs
10
Easy fpsc ppsc nts

What is 0.25 expressed as a fraction in simplest form?

  • A 1/2
  • B 1/4
  • C 1/5
  • D 2/5
Permalink
Correct Answer: Option B — 1/4
Explanation: 0.25 = 25/100 = 1/4 after dividing by 25. Converting between decimals fractions and percentages is fundamental: 0.25 = 1/4 = 25% are equivalent forms. Such conversions appear extensively in competitive exam arithmetic ratio and percentage questions and must be performed quickly and accurately.
Submitted by: PaperMCQs
11
Easy fpsc ppsc nts

What is the sum of first 10 natural numbers?

  • A 45
  • B 50
  • C 55
  • D 60
Permalink
Correct Answer: Option C — 55
Explanation: Sum of first n natural numbers = n(n+1)/2. For n=10: 10×11/2 = 55. This formula was famously demonstrated by Gauss. The formulas for sum of natural numbers squares and cubes are essential tools frequently tested in competitive exam questions on arithmetic series and progression problems.
Submitted by: PaperMCQs
12
Easy fpsc ppsc nts

The ratio of boys to girls is 3:2. If there are 30 students how many are girls?

  • A 10
  • B 12
  • C 14
  • D 16
Permalink
Correct Answer: Option B — 12
Explanation: Total ratio parts = 3+2 = 5. Girls = (2/5)×30 = 12. Ratio and proportion problems are extensively tested. They require dividing quantities according to ratios and appear in problems about mixtures alloys speed partnership and map scales. Always identify the correct ratio part for the quantity being sought.
Submitted by: PaperMCQs
13
Easy fpsc ppsc nts

What is the next term in the sequence 2 6 18 54?

  • A 108
  • B 162
  • C 216
  • D 324
Permalink
Correct Answer: Option B — 162
Explanation: Each term multiplies by 3: 2×3=6 6×3=18 18×3=54 54×3=162. This is a geometric progression with common ratio 3. Identifying patterns in number sequences whether arithmetic geometric or mixed is a common question type in aptitude tests requiring pattern recognition and quick analytical thinking skills.
Submitted by: PaperMCQs
14
Easy fpsc ppsc nts

A number is divisible by 9 if?

  • A The last digit is 9
  • B The sum of digits is divisible by 9
  • C It ends in 0 or 9
  • D It is divisible by 3 only
Permalink
Correct Answer: Option B — The sum of digits is divisible by 9
Explanation: A number is divisible by 9 when the sum of all its digits is divisible by 9. For example 729: 7+2+9=18 which is divisible by 9. Divisibility rules for 2 3 4 5 6 7 8 9 10 and 11 are important shortcuts saving significant time in competitive exam arithmetic and number theory questions.
Submitted by: PaperMCQs
15
Easy fpsc ppsc nts

What is the area of a circle with radius 7 cm using π = 22/7?

  • A 154 cm²
  • B 144 cm²
  • C 164 cm²
  • D 174 cm²
Permalink
Correct Answer: Option A — 154 cm²
Explanation: Area = π × r² = (22/7) × 7 × 7 = 22 × 7 = 154 cm². Using π = 22/7 is standard in competitive exams for ease of calculation. Circle area formulas are applied in problems involving fields circular tracks rings and cross-sections of cylindrical or spherical objects.
Submitted by: PaperMCQs
16
Easy fpsc ppsc nts

A shopkeeper buys an item for Rs 200 and sells it for Rs 250. What is the profit percentage?

  • A 20%
  • B 25%
  • C 30%
  • D 35%
Permalink
Correct Answer: Option B — 25%
Explanation: Profit = 250 - 200 = Rs 50. Profit percentage = (50 ÷ 200) × 100 = 25%. Profit and loss percentage calculations are heavily tested in competitive exams. A key distinction is that profit percentage is always calculated on cost price unless stated otherwise which is a common source of error.
Submitted by: PaperMCQs
17
Easy fpsc ppsc nts

What is the HCF of 12 and 18?

  • A 4
  • B 6
  • C 9
  • D 12
Permalink
Correct Answer: Option B — 6
Explanation: The Highest Common Factor of 12 and 18 is 6. Factors of 12 are 1 2 3 4 6 12 and factors of 18 are 1 2 3 6 9 18. The largest common factor is 6. HCF is used in simplifying fractions dividing groups equally and solving problems involving equal distribution without a remainder.
Submitted by: PaperMCQs
18
Easy fpsc ppsc nts

If a train travels 120 km in 2 hours what is its speed?

  • A 50 km/h
  • B 60 km/h
  • C 70 km/h
  • D 80 km/h
Permalink
Correct Answer: Option B — 60 km/h
Explanation: Speed equals distance divided by time: 120 ÷ 2 = 60 km/h. The speed-distance-time relationship is one of the most tested topics in competitive exams. Problems often require finding any one variable when the other two are given including problems involving relative speed average speed and time calculations.
Submitted by: PaperMCQs
19
Easy fpsc ppsc nts

What is the perimeter of a rectangle with length 8 cm and width 5 cm?

  • A 26 cm
  • B 28 cm
  • C 30 cm
  • D 32 cm
Permalink
Correct Answer: Option A — 26 cm
Explanation: Perimeter of rectangle = 2×(length + width) = 2×(8+5) = 2×13 = 26 cm. Perimeter measures total boundary length. Rectangle perimeter formulas are used in fencing construction and measurement problems and appear regularly in entry-level competitive exam geometry sections alongside area and diagonal calculations.
Submitted by: PaperMCQs
20
Easy fpsc ppsc nts

Which of the following is a prime number?

  • A 1
  • B 9
  • C 15
  • D 17
Permalink
Correct Answer: Option D — 17
Explanation: 17 is a prime number having exactly two factors: 1 and itself. The number 1 is neither prime nor composite. 9 equals 3×3 and 15 equals 3×5 so both are composite. Prime numbers are fundamental in number theory cryptography and competitive exam questions on divisibility HCF LCM and factorization.
Submitted by: PaperMCQs
All Subjects
Biology 100 Chemistry 99 Computer Science 120 Current Affairs 386
1–4 of 11Auto-changing every 5s
Academic Subjects
Physics9th Class 248
View All Academic Classes
Mock Tests
Quick Test (20 Q) Full Mock Test