# PAF Mathematics Past Questions of Initial Tests

If you want to join Pakistan Air Force and want to clear initial tests of Mathematics then here more than 100 mathematics past questions are given which are most repeated and 100% give best result. Undermentioned Mathematics Past Questions are very important and many students got benefits from it. These Mathematics Past Questions are also beneficial in the PMA and PN Cadet tests also.

Before appearing in the tests of GD(P), Logistics Branch, Accounts Branch, Met Branch, Air Defence Branch, Admin Branch, Security Branch, Airman Tests like Aerotrade, Aero Support, Aero Technicians and Civilians tests also.

**Mathematics Past Questions Part-1**

**Q. A set having one element is called _______?**- Ans: Singleton
**Q. When sum of angle is 90 then it is called_____?**- Ans: Complementary Angle
**Q. When sum of two angles is 180 then it is called _____?**- Ans: Supplementary
**Q. If B**^{t}= B then is called_____?- Ans: Symmetric
**Q. (AB)**^{-1}= _____?- Ans: B
^{-1}A^{-1} **Q. A line passing through the centre of circle is called ______?**- Ans: Diameter
**Q. Angle of Elevation is ______?**- Ans: The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
**Q. Matrices do not obey law?**- Ans: Commutative Law of Multilication
**Q. Definition of Power Set is ____?**- Ans: A power set is
*the collection of all subsets, empty set and the original set itself*. **Q. Set of Natural number is ____?**- Ans: N
**Q. Define Diameter?**- Ans: The diameter is the length of the line through the center that touches two points on the edge of the circle.
**Q. If a = n**^{x}the,- Ans: Logn
^{a}= x **Q. Define quadratic Equation.**- Ans: A quadratic equation is a second-order polynomial equation in a single variable x ax
^{2}+bx+c=0. with a ≠ 0 **Q. Cos****θ = ______.**- Ans: 1/Sec
**θ** **Q. Sin****θ = ______?**- Ans: 1/Cosec
**θ** **Q. Tan****θ = ______?**- Ans: Sin
**θ**/ Cos**θ** **Q. Cot****θ = ______?**- Ans: Cos
**θ**/ Sin**θ** **Q. Cos 45 = _____?**- Ans:
**1/√2** **Q. Tan 45 = _____?**- Ans: 1
**Q. When sum of two angles are 90**°**degree then it is called _____.**- Ans: Complementary Angles
**Q. When sum of two angles are 180**°**then it is called ______.**- Ans: Supplementary

## Mathematics Past Papers MCQs of Initial Tests

**Mathematics Past Questions Part-2**

**What is a singleton set?**- Answer: A set with only one element is called a singleton set.
**What is the absolute value of a value added on both sides of an equation?**- Answer: The absolute value of a value added on both sides of an equation remains the same.
**What is the inverse of the product of matrices AB?**- Answer: The inverse of the product of matrices AB is B⁻¹A⁻¹.
**What kind of line passes through the center of a circle?**- Answer: A line passing through the center of a circle is called a diameter.
**What is the angle of elevation?**- Answer: The angle of elevation is the angle formed between the horizontal and the line of sight to an object above the horizontal level.
**What does it mean when an angle is clockwise?**- Answer: An angle measured clockwise is considered negative.
**Which law is not obeyed by matrices?**- Answer: Matrices do not obey the inverse law.
**What is the definition of a power set?**- Answer: A power set is the set of all subsets of a given set, including the empty set and the set itself.
**What are natural numbers?**- Answer: Natural numbers are the set of positive integers starting from 1 and continuing indefinitely.
**What is the definition of a diameter?**- Answer: A diameter is a line segment that passes through the center of a circle, touching two points on the circle.
**What is the equation a=nx where x is defined as?**- Answer: In the equation a=nx, x is defined as the logarithm of a to the base n.
**What is the definition of a quadratic equation?**- Answer: A quadratic equation is a second-degree polynomial equation that can be written in the form ax² + bx + c = 0.
**What is the relationship between cosec and sin?**- Answer: Cosec is the reciprocal of sin, where cosec(θ) = 1/sin(θ).
**What is the reciprocal of cosec?**- Answer: The reciprocal of cosec is sin, where sin(θ) = 1/cosec(θ).
**What is the reciprocal of tan?**- Answer: The reciprocal of tan is cot, where cot(θ) = 1/tan(θ).
**What is the reciprocal of cot?**- Answer: The reciprocal of cot is tan, where tan(θ) = 1/cot(θ).
**What defines an equilateral triangle?**- Answer: An equilateral triangle is a triangle with three equal sides and three equal angles.
**What are matrices with the same elements in corresponding positions called?**- Answer: Matrices with the same elements in corresponding positions are called equal matrices.
**What is the solution to the equation x³+8=(x+2)(x²-2x+4)?**- Answer: The solution is x³+8=(x+2)(x²-2x+4) is x = -2.
**How can the equation ax=y be rewritten in terms of logarithms?**- Answer: The equation ax=y can be rewritten as logₐ(y) = x.
**What does the ratio a:b represent, where a and b are coefficients?**- Answer: The ratio a:b represents the relationship between two coefficients, and it is written as a:b.
**In the expression b²+4ac<0, what does it imply about the roots of the quadratic equation 4x²+2x+6?**- Answer: The expression b²+4ac<0 indicates that the roots of the quadratic equation 4x²+2x+6 are imaginary.

## Mathematics Past Papers of PAF Exams

**Mathematics Past Questions Part-3**

**In which quadrant does an angle between 90° and 180° lie?**- Answer: An angle between 90° and 180° lies in the 2nd quadrant.
**What is the relationship between 2π and 360°?**- Answer: 2π radians is equivalent to 360°.
**What is the definition of a triangle?**- Answer: A triangle is a polygon with three sides and three angles.
**What are the fundamental identities in trigonometry?**- Answer: There are 6 fundamental identities in trigonometry.
**What is the value of 5π/6 in degrees?**- Answer: 5π/6 is equal to 150 degrees.
**How many fundamental identities are there in trigonometry?**- Answer: There are 6 fundamental identities in trigonometry.
**Which law of multiplication is not followed by matrices?**- Answer: Matrices do not follow the inverse law of multiplication.
**How many radians are there in π/3 radians?**- Answer: π/3 radians is equal to 60 degrees.
**What property is represented by the equation a+b = b+a?**- Answer: The equation a+b = b+a represents the commutative property of addition.
**What is an angle between 180° and 360° called?**- Answer: An angle between 180° and 360° is called a reflex angle.
**What is the relationship between sin(θ) and cosec(θ)?**- Answer: Sin(θ) is equal to 1/cosec(θ).
**What kind of polygon has three sides and three angles?**- Answer: A polygon with three sides and three angles is called a triangle.
**How is the ratio of A and B typically written?**- Answer: The ratio of A and B is typically written as A:B.
**What is the term for a variation in which one quantity is increasing while the other is decreasing?**- Answer: It is called “Inverse variation.”
**What is the term for the equation x²-16=0 and what are the values of a, b, and c in the equation?**- Answer: The equation x²-16=0 is called a “Quadratic equation,” and the values are a=1, b=0, and c=-16.
**How many roots does a quadratic equation have?**- Answer: A quadratic equation has “2” roots.
**Can you provide the definition of matrices?**- Answer: Matrices are rectangular arrays of numbers, symbols, or expressions arranged in rows and columns.
**How would you write the ratio if a team has won 5 out of 7 matches?**- Answer: The ratio would be “5 : 7.”
**What is the solution for the equation w³⁷+w³⁷-5=?**- Answer: The solution is not provided in the original text.
**What property is represented by the equation A+(c+b)= c+(A+b)?**- Answer: This property is called the “Associative Property.”
**What is the definition of a histogram?**- Answer: A histogram is a graphical representation of a grouped frequency distribution with continuous classes.
**What is the term for the total of frequency up to an upper class limit or boundary?**- Answer: It is called “Cumulative frequency.”
**In which quadrant do angles from 1 to 90 degrees lie?**- Answer: Angles from 1 to 90 degrees lie in the “1st quadrant.”
**What is the value of 3π/2 in degrees?**- Answer: 3π/2 is equal to “270 degrees.”
**What is the value of π/3 in degrees?**- Answer: π/3 is equal to “60 degrees.”
**What is a triangle with one complementary angle called?**- Answer: It is called a “Right angle triangle.”
**If the transpose of a matrix is equal to the negative of that matrix, what is it called?**- Answer: It is called a “Skew symmetric matrix.”
**What is the term for the arrangement of columns and rows in square brackets?**- Answer: It is called a “Matrix.”

## Mathematics Past Questions and Answers of PAF

**Mathematics Past Questions Part-4**

**What is the determinant of the matrix [2 3; 2 2]?**- Answer: The determinant is “-2.”
**What is the reciprocal of cot(θ)?**- Answer: The reciprocal of cot(θ) is “1/Tan.”
**What is the reciprocal of 1/cosec(θ)?**- Answer: The reciprocal of 1/cosec(θ) is “Sin.”
**How many degrees is 2π radians equal to?**- Answer: 2π radians is equal to “360 degrees.”
**How many degrees is 3π/2 radians equal to?**- Answer: 3π/2 radians is equal to “270 degrees.”
**How many degrees is 3π/3 radians equal to?**- Answer: 3π/3 radians is equal to “180 degrees.”
**When are two matrices conformable for multiplication?**- Answer: Two matrices are conformable for multiplication when the number of columns in the first matrix is equal to the number of rows in the second matrix.
**In the ratio A:b, what is “A” called?**- Answer: “A” is called the “antecedent.”
**In the ratio A:b, what is “b” called?**- Answer: “b” is called the “consequent.”
**What do you call a relationship where increasing one quantity decreases the other?**- Answer: This relationship is called “Inverse.”
**If a team wins 5 matches and loses 7 matches, what is the ratio of matches won to lost?**- Answer: The ratio is “5:7.”
**What is a matrix called if its transpose is equal to the negative of the matrix?**- Answer: It is called a “Skew symmetric matrix.”
**What is the arrangement of columns and rows in square brackets commonly referred to as?**- Answer: This arrangement is called a “Matrix.”
**What is the determinant of the matrix [2 3; 2 2]?**- Answer: The determinant is “-2.”
**What is the value of cot(θ)?**- Answer: The value of cot(θ) is “1/Tan.”
**What is the reciprocal of 1/cosec(θ)?**- Answer: The reciprocal of 1/cosec(θ) is “Sin.”
**How many degrees is 2π radians equal to?**- Answer: 2π radians is equal to “360 degrees.”
**How many degrees is 3π/2 radians equal to?**- Answer: 3π/2 radians is equal to “270 degrees.”
**How many degrees is 3π/3 radians equal to?**- Answer: 3π/3 radians is equal to “180 degrees.”
**When are two matrices conformable for multiplication?**- Answer: Two matrices are conformable for multiplication when the number of columns and the number of rows are equal in both matrices.
**In the ratio A:b, what is “A” called?**- Answer: “A” is called the “antecedent.”
**In the ratio A:b, what is “b” called?**- Answer: “b” is called the “consequent.”
**What is the term for a relationship in which increasing one quantity causes another quantity to decrease?**- Answer: This relationship is called “Inverse.”
**If a team wins 5 matches and loses 7 matches, what is the ratio of matches won to matches lost?**- Answer: The ratio is “5:7.”
**What is the name for the equation X^2 – 16 = 0?**- Answer: It is called a “Pure quadratic equation.”
**What is the solution for the equation W^37 + W^37 – 5=?**- Answer: The solution is “-5.”
**What is the value of 2π?**- Answer: The value of 2π is “360 degrees.”
**What is the value of 3π/2?**- Answer: The value of 3π/2 is “270 degrees.”
**In the ratio A:B, what is “A” called?**- Answer: In A:B, “A” is called the “antecedent.”
**In the ratio A:B, what is “B” called?**- Answer: In A:B, “B” is called the “consequent.”
**What do you call an angle less than 90 degrees in terms of quadrants?**- Answer: An angle less than 90 degrees lies in the “1st quadrant.”
**What is the definition of cumulative frequency?**- Answer: The definition of cumulative frequency is not provided in the original text.
**Food is to eating as book is to?**- Answer: Food is to eating as “book is to reading.”
**What is the task when you are given an equation and asked to find its alpha and beta roots?**- Answer: The task is to find the “alpha and beta roots” of the equation.
**How do you determine whether the roots of an equation are imaginary or real?**- Answer: You determine whether the roots of an equation are “imaginary or real.”
**What is the term “Antecedent” related to?**- Answer: “Antecedent” is related to ratios or proportions.
**How can you represent the proportion of a, b, c, and d in ratio form?**- Answer: You can represent the proportion of a, b, c, and d in the form of “a:b:c:d.”
**What are the “extreme” and “mean” in a mathematical context?**- Answer: In a mathematical context, the “extreme” refers to the first and last terms in a sequence, while the “mean” refers to the average or middle value.
**Can you provide an example of a matrix equation?**- Answer: An example of a matrix equation would be helpful for better understanding.
**What is an “Identity matrix”?**- Answer: An “Identity matrix” is a square matrix with ones on the main diagonal and zeros elsewhere.
**What kind of line passes through the center of a circle?**- Answer: A “diameter” is a line that passes through the center of a circle.
**What is the “angle of elevation”?**- Answer: The “angle of elevation” is the angle formed between the horizontal and the line of sight to an object above the horizontal level.
**What is the definition of a “Pure quadratic equation”?**- Answer: A “Pure quadratic equation” is a quadratic equation with no linear or constant terms.
**Can you provide a description of a “quadratic equation”?**- Answer: A “quadratic equation” is a second-degree polynomial equation that can be written in the form ax² + bx + c = 0.
**What is the significance of a circle passing through the vertices of a quadrilateral?**- Answer: When a circle passes through the vertices of a quadrilateral, it is of interest for some specific geometric properties.
**What is the term for the expression b² – 4ac in a quadratic equation?**- Answer: The term is known as the “discriminant.”
**How much is 1 Mega equal to?**- Answer: 1 Mega is equal to “10^9.”
**What is a set with only one element called?**- Answer: A set with only one element is called a “singleton set.”
**What happens to the sum of angles when they add up to 90 degrees?**- Answer: When the sum of angles adds up to 90 degrees, they are called “complementary.”
**What term is used for angles that sum up to 180 degrees?**- Answer: Angles that sum up to 180 degrees are termed “supplementary.”
**What is the condition for a matrix B to be considered “symmetric”?**- Answer: A matrix B is considered “symmetric” if B^t = B.
**What is the result when you take the inverse of the product of matrices AB?**- Answer: The result is (AB)^-¹ = (B^-1)(A^-1).
**What is the definition of “Diameter” in geometry?**- Answer: In geometry, a “diameter” is a line that passes through the center of a circle, touching two points on the circle.
**What does it mean when an angle is clockwise in orientation (positive or negative)?**- Answer: When an angle is measured in the clockwise direction, it is considered “positive.”
**Which law is not followed by matrices when it comes to multiplication?**- Answer: Matrices do not follow the “inverse law” of multiplication.
**Can you provide the definition of a “Power set”?**- Answer: A “power set” is the set of all subsets of a given set, including the empty set and the set itself.
**What is the set of positive integers starting from 1 and continuing indefinitely known as?**- Answer: The set of positive integers starting from 1 and continuing indefinitely is called “natural numbers.”
**What is the definition of “Diameter” in a geometric context?**- Answer: In geometry, a “diameter” is a line segment that passes through the center of a circle, touching two points on the circle.
**How is the equation “a=n^x” defined, with “x” as “Logan”?**- Answer: In the equation “a=n^x,” “x” is defined as “Logan.”
**What is the definition of a “Quadratic equation”?**- Answer: A “Quadratic equation” is a second-degree polynomial equation that can be written in the form ax² + bx + c = 0.
**How is “Cosec” related to “Sin”?**- Answer: “Cosec” is the reciprocal of “Sin,” where Cosec(θ) = 1/Sin(θ).
**What is the reciprocal of “Cosec”?**- Answer: The reciprocal of “Cosec” is “Sin,” where Sin(θ) = 1/Cosec(θ).
**What is the reciprocal of “Tan”?**- Answer: The reciprocal of “Tan” is “Cot,” where Cot(θ) = 1/Tan(θ).
**What is the reciprocal of “Cot”?**- Answer: The reciprocal of “Cot” is “Tan,” where Tan(θ) = 1/Cot(θ).
**What defines an “Equilateral triangle”?**- Answer: An “Equilateral triangle” is a triangle with three equal sides and three equal angles.
**What is the term for matrices with the same elements in corresponding positions?**- Answer: Matrices with the same elements in corresponding positions are called “Equal Matrices.”
**What is the solution to the equation “x³+8=(x+8)(x²-x+2)”?**- Answer: The solution is not provided in the original text.
**How can you rewrite the equation “a^x=y” in terms of logarithms?**- Answer: The equation “a^x=y” can be rewritten as “logₐ(y) = x.”
**What do the ratios “a:b=4:8” represent, where “a,” “b,” “4,” and “8” are coefficients?**- Answer: The ratios represent the relationship between the coefficients “a” and “b,” and they are written as “a:b=4:8.”
**What is the significance of the condition “b²+4ac<0” in the equation “4x²+2x+6”?**- Answer: The condition “b²+4ac<0” indicates that the solutions to the equation “4x²+2x+6” are imaginary.
**In which quadrant do angles between 90 and 180 degrees lie?**- Answer: Angles between 90 and 180 degrees lie in the “2nd quadrant.”
**What is the relationship between “2π” and “360°”?**- Answer: “2π” is equivalent to “360°.”
**What is the definition of a “Triangle” in geometry?**- Answer: A “Triangle” is a geometric figure composed of three sides and three angles.
**How is the ratio of quantities A and B typically written?**- Answer: The ratio of quantities A and B is typically written as “(A: B).”
**What are the values of 2π and 3π/2 in radians?**- Answer: 2π is equal to 360 radians, and 3π/2 is equal to 270 radians.
**In a ratio A:B, what is A commonly referred to as?**- Answer: In a ratio A:B, A is commonly referred to as the “antecedent.”
**What term is assigned to B in the ratio A:B?**- Answer: In the ratio A:B, the term assigned to B is the “consequent.”
**In which quadrant does an angle greater than 0 and less than 90 degrees lie?**- Answer: An angle greater than 0 and less than 90 degrees lies in the “1st quadrant.”
**What do you call a matrix where the transpose is equal to the negative of that matrix?**- Answer: A matrix where the transpose is equal to the negative of that matrix is called a “Skew symmetric matrix.”
**What is the term for the arrangement of columns and rows in square brackets?**- Answer: The arrangement of columns and rows in square brackets is called a “Matrix.”
**What is the determinant of a matrix with elements 2, 3, 2, and 2?**- Answer: The determinant of the matrix with elements 2, 3, 2, and 2 is “-2.”
**What is the value of cot(θ)?**- Answer: The value of cot(θ) is “1/tan(θ).”
**What is the reciprocal of cosec(θ)?**- Answer: The reciprocal of cosec(θ) is “sin(θ).”
**Under what condition are two matrices considered conformable for multiplication?**- Answer: Two matrices are considered conformable for multiplication when the number of columns in the first matrix is equal to the number of rows in the second matrix.
**In a ratio expressed as A:B, what is A typically called?**- Answer: In a ratio expressed as A:B, A is typically called the “antecedent.”
**What is the term assigned to B in a ratio expressed as A:B?**- Answer: In a ratio expressed as A:B, the term assigned to B is the “consequent.”
**What is the definition of “cumulative frequency”?**- Answer: “Cumulative frequency” is a statistical property that represents the cumulative total of frequencies up to a certain point in a dataset.
**What is the term for a relationship in which an increase in one quantity leads to a decrease in another?**- Answer: A relationship where an increase in one quantity leads to a decrease in another is called “inverse variation.”
**In a scenario where a team wins 5 matches and loses 7 matches, what is the ratio of matches won to matches lost?**- Answer: The ratio of matches won to matches lost in this scenario is “5:7.”

**Related: PAF Initial Tests of Physics MCQs**

## Experiences of Mathematics Past Questions for PAF Jobs

**Mathematics Past Questions Part-5**

**X^2 -16=0 is called…..**- Answer: 4
**What are supplementary angles and complementary angles, and in which quadrant do angles less than 90 degrees lie?**- Answer: Supplementary angles add up to 180 degrees, complementary angles add up to 90 degrees, and angles less than 90 degrees lie in the “1st quadrant.”
**When is a matrix referred to as a skew symmetric matrix?**- Answer: A matrix is referred to as a “skew symmetric matrix” when its transpose is equal to the negative of the original matrix.
**What is the name for the arrangement of columns and rows in square brackets within a matrix?**- Answer: The arrangement of columns and rows in square brackets within a matrix is called a “matrix.”
**How many degrees are equivalent to 2π radians, and what is the degree measure for π?**- Answer: 2π radians are equivalent to 360 degrees, and π corresponds to 180 degrees.
**When do two matrices become conformable for multiplication?**- Answer: Two matrices become conformable for multiplication when the number of columns in the first matrix equals the number of rows in the second matrix.
**In a ratio expressed as A:b, what is A commonly called?**- Answer: In a ratio expressed as A:b, A is commonly called the “antecedent.”
**What is the term assigned to B in a ratio expressed as A:b?**- Answer: In a ratio expressed as A:b, the term assigned to B is the “consequent.”
**What is the name of the relationship where an increase in one quantity leads to a decrease in another?**- Answer: The relationship where an increase in one quantity leads to a decrease in another is called “inverse variation.”
**If a team wins 5 matches and loses 7 matches, what is the ratio of matches won to matches lost?**- Answer: The ratio of matches won to matches lost in this scenario is “5:7.”
**What type of triangle has one of its angles equal to 90 degrees?**- Answer: A triangle with an angle of 90 degrees is called a “right angle triangle.”
**If Ali’s car travels 15 kilometers on 1 liter of petrol, and the petrol price is 90, how far will it travel with 450?**- Answer: It will travel 75 kilometers.
**What is the name of a triangle with one angle equal to 90 degrees?**- Answer: It’s called a “right angle triangle.”
**What type of lens is thinner in the middle and thicker at the edges?**- Answer: This type of lens is called a “concave lens.”
**Can you define a matrix?**- Answer: A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns.
**When the equation 2^t = -2 holds true, what type of matrix is it called?**- Answer: It is referred to as a “skew symmetric matrix.”
**In matrix operations, when one matrix’s column is equal to another matrix’s row, what type of operation is it associated with?**- Answer: It is associated with “multiplication.”
**What is the numerical value of π (pi), and how many degrees are in 2π?**- Answer: The numerical value of π is approximately 3.1416, and 2π is equivalent to 360 degrees.
**How many degrees are in 3π/2?**- Answer: There are 270 degrees in 3π/2.
**Fill in the sequence: ?, 36, 49, 64…**- Answer: The missing number is 81.
**Fill in the sequence: 2, 4, 8, 14, 22…**- Answer: The next number is 32.
**What is the result of W^27 + W^39 – 5?**- Answer: The result is not known from the provided information.
**When an equation is of the form X^2 – 16, what type of equation is it?**- Answer: It is a “quadratic equation.”
**Complete the phrase: “English is spoken all ___ the world.”**- Answer: “English is spoken all over the world.”
**What is the value of cot?**- Answer: The value of cot is equal to 1/tan.
**What is the reciprocal of sine?**- Answer: The reciprocal of sine is 1/cosec.
**What is the term for a variation in which one quantity is increasing while the other is decreasing?**- Answer: It is called “inverse variation.”
**What is the mathematical name for the equation x²-16=0?**- Answer: It is known as a “quadratic equation.”
**How many roots does a quadratic equation typically have?**- Answer: A quadratic equation usually has “two” roots.
**What is the reciprocal of sine?**- Answer: The reciprocal of sine is “cosec” or cosecant, which is equal to 1/sin.
**What is the reciprocal of tangent (tan)?**- Answer: The reciprocal of tangent is “cot” or cotangent, which is equal to 1/tan.
**Provide a definition for matrices.**- Answer: Matrices are rectangular arrays of numbers, symbols, or expressions arranged in rows and columns.
**How would you express the ratio if a team has won 5 out of 7 matches?**- Answer: The ratio is “5:7.”
**What is the result of w³⁷ + w³⁸ – 5?**- Answer: The result is “-6.”
**What property is observed when A+(c+b) equals c+(A+b)?**- Answer: This property is called the “associative property.”
**What geometric shape can be used to draw a circle when its vertices are connected?**- Answer: A “cyclic polygon” is a shape whose vertices can be used to draw a circle.
**In the ratio a:b, what is a referred to as?**- Answer: In a ratio a:b, “a” is known as the antecedent.
**What is the value of 3π/2 in degrees?**- Answer: 3π/2 is equal to “270 degrees.”
**What is the degree measure of π/3?**- Answer: π/3 is equivalent to “60 degrees.”
**What is the name for a triangle with one complementary angle?**- Answer: A triangle with one complementary angle is called a “right angle triangle.”
**In matrix operations, what is the law that states (a+b) c = ac + ab called?**- Answer: This is known as the “distributive law.”
**What is the ratio of a team that wins 5 out of 7 matches?**- Answer: The ratio is “5:7.”
**What term is commonly used for mathematical equations like x²-16=0?**- Answer: Such equations are referred to as “quadratic equations.”
**How many roots does a typical quadratic equation have?**- Answer: A quadratic equation usually has “two” roots.
**What is the reciprocal of sine (sin)?**- Answer: The reciprocal of sine is “cosec” or cosecant, which is equal to 1/sin.
**What is the reciprocal of tangent (tan)?**- Answer: The reciprocal of tangent is “cot” or cotangent, which is equal to 1/tan.
**What is the definition of matrices in mathematics?**- Answer: Matrices are defined as sets of numbers arranged in rows and columns to form a rectangular array.
**What term is used to describe a graph representing the frequency distribution of data points of one variable?**- Answer: It is called a “histogram.”
**What is the result of w³⁷ + w³⁷ – 5?**- Answer: The result is “2w^2187 – 5.” (Check it)
**What property is observed when A+(c+b) equals c+(A+b)?**- Answer: This is known as the “associative property.”
**What is the angle range where the 1st quadrant lies?**- Answer: The 1st quadrant covers angles from “1 to 90 degrees.”
**Express 3π/2 in degrees.**- Answer: 3π/2 is equivalent to “270 degrees.”
**What is the degree measure of π/3?**- Answer: π/3 is equivalent to “60 degrees.”
**What type of triangle has one complementary angle?**- Answer: A triangle with one complementary angle is called a “right-angled triangle.”
**In mathematics, what is the term for a law stating that if the transpose of a matrix is equal to the negative of that matrix, it’s called what?**- Answer: Such a matrix is referred to as a “skew symmetric matrix.”
**What do you call the arrangement of columns and rows in square brackets?**- Answer: This arrangement is called a “matrix.”
**What is the determinant of the matrix 2 3 2 2?**- Answer: The determinant is “-2.”
**What is the value of cot(°)?**- Answer: cot(°) is equal to “1/tan.”
**What is the reciprocal of sine (cosec) equivalent to?**- Answer: The reciprocal of sine (cosec) is equivalent to “1/sin.”
**What is the value of 2π in degrees?**- Answer: 2π radians is equal to “360 degrees.”
**What is the degree measure of 3π/2?**- Answer: 3π/2 radians is equivalent to “270 degrees.”
**What is the degree measure of 3π/3?**- Answer: 3π/3 radians is equivalent to “180 degrees.”
**When the number of columns and rows in two matrices are equal, what operation are they conformable for?**- Answer: They are conformable for “multiplication.”
**In a ratio written as a:b, what term refers to ‘a’?**- Answer: ‘a’ is called the “antecedent.”
**In a ratio written as a:b, what term refers to ‘b’?**- Answer: ‘b’ is referred to as the “consequent.”
**What relationship is described when an increase in one quantity leads to a decrease in another, and what is this relationship called?**- Answer: This relationship is called “inverse variation.”
**When a value is added to both sides of an equation, what property is it demonstrating?**- Answer: This demonstrates the “additive property of equality.”
**What is the value of 2π in degrees?**- Answer: 2π is equivalent to “360 degrees.”
**What is the degree measure of 3π/2?**- Answer: 3π/2 is equal to “270 degrees.”
**How would you define a matrix in mathematics?**- Answer: A matrix is defined as a “set of numbers arranged in rows and columns to form a rectangular array.”
**What term is used for a quadratic equation that does not have any mixed terms (only x² and constants)?**- Answer: This is known as a “pure quadratic equation.”
**What is the name of a mathematical equation involving variables x and y, and what do x and y represent in this equation?**- Answer: In such equations, ‘x’ and ‘y’ are variables representing unknown values.
**What do you call a graph used to represent the frequency distribution of data points for a single variable?**- Answer: This graph is known as a “histogram.”
**What is the result of w³⁷ – w³⁸ – 5?**- Answer: The result is “-6.”
**In a ratio written as a:b, what is the term for ‘a’?**- Answer: ‘a’ is referred to as the “antecedent.”
**In a ratio written as a:b, what is the term for ‘b’?**- Answer: ‘b’ is referred to as the “consequent.”
**What term is used for the total of frequencies up to an upper class limit or boundary in statistics?**- Answer: This is referred to as “cumulative frequency.”
**What is the relationship called when an increase in one quantity leads to a decrease in another?**- Answer: This relationship is known as “inverse variation.”
**What is the cosecant (cosec) equal to in terms of trigonometric functions?**- Answer: Cosec is equal to “1/sin.”
**What is the cotangent (cot) equal to in terms of trigonometric functions?**- Answer: Cot is equal to “1/tan.”
**What is the value of the determinant in a specific mathematical context when it’s equal to -2?**- Answer: In this context, the value of the determinant is “-2.”
**In an equation where x and y are variables, what do x and y represent?**- Answer: In such equations, ‘x’ and ‘y’ represent variables representing unknown values.
**In the context of matrices, when the number of rows and columns are the same in two matrices, what operation are they comfortable for?**- Answer: They are comfortable for “product” or multiplication.
**What do you call a triangle that has one complementary angle?**- Answer: A triangle with one complementary angle is called a “right-angle triangle.”
**In the context of matrices, when the transpose of a matrix is equal to the negative of that matrix, what is it called?**- Answer: It is called a “skew symmetric matrix.”
**How many roots does a typical quadratic equation have?**- Answer: A typical quadratic equation has “two” roots.

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