# 138 Questions on Analogy

## What do you mean y analogy ?

an analogy question involves drawing comparisons between different mathematical relationships or concepts to test a student’s understanding. These questions often ask students to identify the similarities or relationships between pairs of numbers, shapes, or mathematical operations.

Here’s an example of an analogy math question:

Example:

If 2 is to 8 as 3 is to what?

Solution:

In this analogy, you need to identify the relationship between 2 and 8 and then apply the same relationship to 3. The relationship here is multiplication; 2 * 4 = 8. Therefore, 3 * 4 = 12. So, the answer is 12.

Analogy questions in math can cover various topics, including arithmetic operations, number patterns, geometric shapes, and more. They are designed to assess a student’s ability to recognize and apply mathematical relationships.

## Areas of analogy

Alphabet Analogy

Analogous Pairs

Detecting Analogies

Non-Verbal Analogy

Number Analogy

## Question

## 1. If addition is like combining ingredients to make a recipe, what is multiplication?

Answer:

If addition is like combining ingredients in a recipe, then multiplication is like making multiple batches of the same recipe. It involves repeated addition. So, the analogy answer is “multiplication is like making multiple batches.”

This analogy draws a parallel between addition and multiplication by highlighting the repeated nature of multiplication, similar to combining multiple sets of the same elements.

## 2. If subtraction is like taking away ingredients from a recipe, what is division?

Answer:

If subtraction is like taking away ingredients, then division is like dividing the entire recipe into equal portions. Division is the process of breaking a whole into equal parts. So, the analogy answer is “division is like dividing the recipe into equal portions.”

This analogy emphasizes the idea that subtraction involves taking away, and division involves distributing or dividing a quantity into equal parts.

## 3. If addition is like building a stack of blocks, what is subtraction?

Answer:

If addition is like building a stack of blocks, then subtraction is like removing blocks from the stack. Subtraction involves taking away or subtracting a quantity from a whole. So, the analogy answer is “subtraction is like removing blocks from the stack.”

This analogy illustrates the relationship between addition and subtraction by comparing the process of building up and breaking down a stack of blocks.

## 4. If squares are like addition, what are circles like?

Answer:

If squares are like addition, then circles are like multiplication. In this analogy, the question suggests a relationship between shapes and mathematical operations. Squares, with their straight edges, represent the straightforward addition of sides. Circles, with their continuous and unbroken nature, can be likened to the repeated nature of multiplication.

So, the analogy answer is “circles are like multiplication.” This draws an analogy between the geometric shapes and the mathematical operations they represent.

## 5. If triangles are like division, what are rectangles like?

Answer:

If triangles are like division, then rectangles are like multiplication. In this analogy, triangles are associated with division, perhaps because they can represent dividing a whole into unequal parts. Rectangles, with their regular and balanced structure, can be likened to the equal and repeated nature of multiplication.

So, the analogy answer is “rectangles are like multiplication.” This analogy draws a connection between the shapes and the mathematical operations they represent.

## 6. If addition is like counting individual items, what is exponentiation?

Answer:

If addition is like counting individual items, then exponentiation is like repeatedly multiplying a base number by itself. Exponentiation involves repeated multiplication. So, the analogy answer is “exponentiation is like repeatedly multiplying a base number by itself.”

This analogy draws a parallel between the basic counting nature of addition and the repetitive multiplication involved in exponentiation.

## 7. If subtraction is like finding the difference between two quantities, what is finding the square root like?

Answer:

If subtraction is like finding the difference, then finding the square root is like finding one of the original quantities. Subtraction involves finding the difference between two values, and finding the square root involves finding one of the original values that, when multiplied by itself, gives the result. So, the analogy answer is “finding the square root is like finding one of the original quantities.”

This analogy highlights the inverse relationship between subtraction and finding the square root.

## 8. If addition is like going forward on a number line, what is subtraction like?

Answer:

If addition is like going forward on a number line, then subtraction is like going backward on a number line. Addition involves moving to the right, increasing the value, while subtraction involves moving to the left, decreasing the value. So, the analogy answer is “subtraction is like going backward on a number line.”

This analogy illustrates the directional relationship between addition and subtraction on a number line.

## 9. If multiplication is like finding the area of a rectangle, what is division like?

Answer:

If multiplication is like finding the area of a rectangle, then division is like finding the side length of a rectangle given its area and one of its sides. Multiplication combines dimensions to find the total area, and division breaks down the total area to find one of the dimensions. So, the analogy answer is “division is like finding the side length of a rectangle given its area and one of its sides.”

This analogy draws a connection between multiplication and division in the context of rectangles and their areas.

## 10. If addition is like combining two sets of objects, what is integration like in calculus?

Answer:

If addition is like combining two sets of objects, then integration in calculus is like finding the total accumulation or sum of quantities over a continuous range. Integration involves summing up infinitesimally small quantities across a range. So, the analogy answer is “integration is like finding the total accumulation or sum of quantities over a continuous range.”

This analogy highlights the idea that just as addition combines discrete quantities, integration combines continuous quantities.

## Question on math analogy

Here are some more questions

## 11. If addition is like taking steps forward on a number line, what is differentiation like in calculus?

Answer:

If addition is like taking steps forward on a number line, then differentiation in calculus is like determining the rate at which those steps are taken. Differentiation involves finding the rate of change of a function with respect to its input. So, the analogy answer is “differentiation is like determining the rate at which steps are taken on a number line.”

This analogy highlights the connection between addition and the concept of rate of change in calculus.

## 12. If addition is like combining terms in an algebraic expression, what is factoring like?

Answer:

If addition is like combining terms in an algebraic expression, then factoring is like breaking down an expression into its individual terms. Factoring involves expressing an expression as a product of its factors. So, the analogy answer is “factoring is like breaking down an expression into its individual terms.”

This analogy draws a parallel between the process of combining terms and the process of factoring in algebra.

## 13. If addition is like adding ingredients to a recipe, what is solving an equation like?

Answer:

If addition is like adding ingredients to a recipe, then solving an equation is like figuring out the right combination of ingredients to make the recipe work. Solving an equation involves finding the values that make the equation true. So, the analogy answer is “solving an equation is like figuring out the right combination of ingredients to make the recipe work.”

This analogy draws a connection between the process of combining elements in addition and the process of finding the correct values in solving equations.

## 14. If addition is like finding the sum of parts, what is finding the derivative in calculus like?

Answer:

If addition is like finding the sum of parts, then finding the derivative in calculus is like determining the instantaneous rate of change of a function at a specific point. The derivative measures how a function changes as its input changes very slightly. So, the analogy answer is “finding the derivative is like determining the instantaneous rate of change of a function at a specific point.”

This analogy emphasizes the idea that addition deals with combining parts, while the derivative deals with the instantaneous rate of change.

## 15. If addition is like putting pieces together to form a puzzle, what is solving a system of equations like?

Answer:

If addition is like putting pieces together to form a puzzle, then solving a system of equations is like finding the correct arrangement of pieces that satisfy both equations simultaneously. Solving a system of equations involves finding values for variables that make both equations true at the same time. So, the analogy answer is “solving a system of equations is like finding the correct arrangement of pieces that satisfy both equations simultaneously.”

This analogy draws a connection between the process of combining elements in addition and the process of finding solutions to a system of equations.

## 16. If addition is like building blocks to create a structure, what is finding the area under a curve in calculus like?

Answer:

If addition is like building blocks to create a structure, then finding the area under a curve in calculus is like calculating the total space enclosed by the curve. It involves summing up infinitely small areas under the curve. So, the analogy answer is “finding the area under a curve is like calculating the total space enclosed by the curve.”

This analogy emphasizes the transition from discrete addition to the continuous process of finding the area under a curve in calculus.

## 17. If addition is like counting individual items, what is taking the limit in calculus like?

Answer:

If addition is like counting individual items, then taking the limit in calculus is like determining the value that a sequence or function approaches as the number of items or inputs becomes infinitely large. Taking the limit involves examining the behavior of a function as it approaches a certain point. So, the analogy answer is “taking the limit is like determining the value that a sequence or function approaches as the number of items or inputs becomes infinitely large.”

This analogy emphasizes the idea that taking the limit involves examining a process as it approaches a certain condition, much like counting approaching infinity.

## 18.If multiplication is like scaling up a quantity, what is finding the derivative in calculus like?

Answer:

If multiplication is like scaling up a quantity, then finding the derivative in calculus is like determining the rate at which the quantity is changing. The derivative measures the instantaneous rate of change of a function at a specific point. So, the analogy answer is “finding the derivative is like determining the rate at which the quantity is changing.”

This analogy highlights the idea that multiplication involves scaling, while the derivative involves measuring the rate of change.

## 19. If addition is like combining terms in a sequence, what is finding the summation (sigma notation) of the sequence like?

Answer:

If addition is like combining terms in a sequence, then finding the summation (sigma notation) of the sequence is like determining the total sum of all the terms in the sequence. Summation involves adding up all the terms according to a specific pattern. So, the analogy answer is “finding the summation of the sequence is like determining the total sum of all the terms in the sequence.”

This analogy draws a connection between the process of adding terms in a sequence and finding the total sum using sigma notation.

## 20. If division is like sharing a quantity among a group of people, what is finding the average (mean) of a set of numbers like?

Answer:

If division is like sharing a quantity among a group of people, then finding the average (mean) of a set of numbers is like distributing the total sum evenly among all the values. The average is found by dividing the sum of values by the total count. So, the analogy answer is “finding the average of a set of numbers is like distributing the total sum evenly among all the values.”

This analogy emphasizes the connection between division and finding the average in terms of sharing or distributing.

## Question

## 21. If A is to B, then C is to what?

Answer:

If A is to B, then C is to D. The analogy here is that each letter in the alphabet is followed by the next letter. So, the answer is D.

## 22. If X is to Y, then Z is to what?

Answer:

If X is to Y, then Z is to A. In the English alphabet, after reaching the letter Z, the sequence wraps around to the beginning with the letter A. So, the answer is A.

These examples illustrate the pattern of the alphabetical sequence and how it can be applied in analogy questions.

## 23. If M is to N, then P is to what?

Answer:

If M is to N, then P is to Q. The pattern here is that each letter is followed by the next letter in the alphabet. So, the answer is Q.

## 24. If F is to G, then J is to what?

Answer:

If F is to G, then J is to K. Again, the pattern is the sequential progression of letters in the alphabet. So, the answer is K.

## 25. If R is to S, then U is to what?

Answer:

If R is to S, then U is to V. Following the pattern of the alphabet, the letter after R is S, and the letter after U is V. So, the answer is V.

## 26. If L is to M, then T is to what?

Answer:

If L is to M, then T is to U. The analogy follows the alphabetical sequence, so the answer is U.

## 27. If G is to H, then W is to what?

Answer:

If G is to H, then W is to X. The pattern here is the sequential progression of letters in the alphabet. So, the answer is X.

## 28. If Q is to R, then E is to what?

Answer:

If Q is to R, then E is to F. The analogy involves moving to the next letter in the sequence. So, the answer is F.

## 29. If Y is to Z, then B is to what?

Answer:

If Y is to Z, then B is to C. Following the alphabetical order, the letter after Y is Z, and the letter after B is C. So, the answer is C.

## 30. If N is to O, then I is to what?

Answer:

If N is to O, then I is to J. The pattern here is the sequential progression of letters in the alphabet. So, the answer is J.

Also read: Coding and Decoding questions

Question on Analogous pairs

31.Hot is to Cold as Fast is to what?

Answer:

Hot is the opposite of cold, and fast is the opposite of slow. So, the answer is Slow.

32.Cat is to Kitten as Dog is to what?

Answer:

Cat represents the parent relationship to Kitten. Similarly, Dog represents the parent relationship to Puppy. So, the answer is Puppy.

33.Day is to Night as Land is to what?

Answer:

Day and Night represent opposites in the context of time. Similarly, Land and Sea represent opposites in the context of geography. So, the answer is Sea.

34.Ocean is to Water as Forest is to what?

Answer:

Ocean is a large body of water, and a Forest is a dense collection of Trees. So, the answer is Trees.

35.Chair is to Furniture as Apple is to what?

Answer:

A Chair is a type of Furniture, and an Apple is a type of Fruit. So, the answer is Fruit.

36.Doctor is to Patient as Teacher is to what?

Answer:

Doctor interacts with a Patient in a medical context. Similarly, a Teacher interacts with a Student in an educational context. So, the answer is Student.

37. Bird is to Feather as Pine Tree is to what?

Answer:

Birds have Feathers, and Pine Trees have Needles (or Leaves). So, the answer is Needles.

38.Pen is to Write as Fork is to what?

Answer:

A Pen is a tool used for writing, and a Fork is a tool used for eating. So, the answer is Eat.

39.Book is to Read as Movie is to what?

Answer:

A Book is something you Read, and a Movie is something you Watch. So, the answer is Watch.

40.River is to Stream as Mountain is to what?

Answer:

A River is a larger flowing body of water, and a Stream is a smaller flowing body of water. Similarly, a Mountain is a larger elevated landform, and a Hill is a smaller elevated landform. So, the answer is Hill.

## Question

41.Music is to Note as Language is to what?

Answer:

In music, Notes are fundamental units. In language, Words are fundamental units. So, the answer is Word.

42.Seed is to Plant as Egg is to what?

Answer:

A Seed grows into a Plant, and an Egg hatches into a Chick (or Bird). So, the answer is Chick.

43.Rain is to Wet as Sun is to what?

Answer:

Rain causes things to become wet. Similarly, the Sun causes things to become Dry. So, the answer is Dry.

44.Doctor is to Hospital as Chef is to what?

Answer:

A Doctor works in a Hospital, and a Chef works in a Restaurant. So, the answer is Restaurant.

45.Tree is to Forest as Brick is to what?

Answer:

A Tree is a part of a Forest, and a Brick is a part of a Building. So, the answer is Building.

46. Clock is to Time as Thermometer is to what?

Answer:

A Clock measures and displays Time, and a Thermometer measures and displays Temperature. So, the answer is Temperature.

47. Seed is to Flower as Egg is to what?

Answer:

A Seed grows into a Flower, and an Egg hatches into a Bird (or Chick). So, the answer is Bird.

48. Sailboat is to Water as Airplane is to what?

Answer:

A Sailboat moves on Water, and an Airplane moves in the Sky. So, the answer is Sky.

49. Door is to Entrance as Window is to what?

Answer:

A Door is associated with an Entrance, and a Window is associated with a View. So, the answer is View.

50.Sunset is to Evening as Sunrise is to what?

Answer:

Sunset marks the end of the day, and Sunrise marks the beginning of the day. So, the answer is Morning.

## Question

Car is to Road as Boat is to what?

Answer:

A Car moves on a Road, and a Boat moves on Water. So, the answer is Water.

Example 22:

Analogy Question:

Shoe is to Foot as Glove is to what?

Answer:

A Shoe is worn on the Foot, and a Glove is worn on the Hand. So, the answer is Hand.

Example 23:

Analogy Question:

Library is to Book as Theater is to what?

Answer:

A Library houses Books, and a Theater hosts Performances. So, the answer is Performance.

Example 24:

Analogy Question:

Train is to Track as Car is to what?

Answer:

A Train moves on Tracks, and a Car moves on a Road. So, the answer is Road.

Example 25:

Analogy Question:

Rain is to Umbrella as Sun is to what?

Answer:

Rain is shielded by an Umbrella, and Sun is shielded by Sunglasses. So, the answer is Sunglasses.

Example 26:

Analogy Question:

Pen is to Paper as Keyboard is to what?

Answer:

A Pen is used to write on Paper, and a Keyboard is used to type on a Screen. So, the answer is Screen.

Example 27:

Analogy Question:

Ocean is to Fish as Forest is to what?

Answer:

An Ocean is a habitat for Fish, and a Forest is a habitat for Animals. So, the answer is Animals.

Example 28:

Analogy Question:

Candle is to Flame as Fireplace is to what?

Answer:

A Candle produces a Flame, and a Fireplace produces a Fire. So, the answer is Fire.

Example 29:

Analogy Question:

Earth is to Orbit as Moon is to what?

Answer:

Earth orbits the Sun, and the Moon orbits the Earth. So, the answer is Earth.

Example 30:

Analogy Question:

Book is to Author as Painting is to what?

Answer:

A Book is created by an Author, and a Painting is created by an Artist. So, the answer is Artist.

## Question

Triangle is to 180° as Quadrilateral is to ____.

**Answer**: 360° (The sum of the interior angles of a triangle is 180°, while that of a quadrilateral is 360°.)

Addition is to Sum as Multiplication is to ____.

**Answer**: Product (The result of addition is a sum, and the result of multiplication is a product.)

Linear Function is to Straight Line as Quadratic Function is to ____.

**Answer**: Parabola (A linear function graphs as a straight line, while a quadratic function graphs as a parabola.)

Derivative is to Slope as Integral is to ____.

**Answer**: Area (The derivative gives the slope of a function, while the integral gives the area under the curve.)

Even Numbers are to 2, 4, 6 as Odd Numbers are to ____.

**Answer**: 1, 3, 5 (Even numbers are multiples of 2, while odd numbers are not.)

**Question**: Circle is to Radius as Square is to ____.

**Answer**: Side Length (The radius defines a circle, while the side length defines a square.)

**Question**: Mean is to Average as Median is to ____.

**Answer**: Middle (The mean is a type of average, and the median represents the middle value of a dataset.)

**Question**: Hypotenuse is to Right Triangle as Diameter is to ____.

**Answer**: Circle (The hypotenuse is the longest side of a right triangle, while the diameter is the longest chord of a circle.)

## Question

Exponentiation is to Power as Logarithm is to ____.

**Answer**: Base (Exponentiation involves raising a base to a power, while a logarithm determines the exponent needed to achieve a certain base.)

Factorial is to 5! as Product is to ____.

**Answer**: Multiplication (The factorial of 5 is the product of all positive integers up to 5, while a product is the result of multiplication.)

Prime Number is to 2, 3, 5 as Composite Number is to ____.

**Answer**: 4, 6, 8 (Prime numbers have exactly two distinct positive divisors, while composite numbers have more than two.)

Area is to Square as Volume is to ____.

**Answer**: Cube (The area pertains to two dimensions, while volume pertains to three dimensions.)

Sine is to Opposite over Hypotenuse as Cosine is to ____.

**Answer**: Adjacent over Hypotenuse (In a right triangle, sine is the ratio of the length of the opposite side to the hypotenuse, while cosine is the ratio of the adjacent side to the hypotenuse.)

Graph is to Function as Table is to ____.

**Answer**: Data (A graph visually represents a function, while a table organizes data.)

Sequence is to Series as Term is to ____.

**Answer**: Sum (A sequence is a list of numbers, while a series is the sum of the terms of a sequence.)

Circle is to Circumference as Square is to ____.

**Answer**: Perimeter (Circumference is the distance around a circle, while perimeter is the distance around a square.)

Probability is to Chance as Statistic is to ____.

**Answer**: Data (Probability refers to the likelihood of an event occurring, while statistics refers to the analysis of data.)

Asymptote is to Curve as Vertex is to ____.

**Answer**: Parabola (An asymptote is a line that a curve approaches, while a vertex is a point on a parabola where it changes direction.)

## Question

Angle is to Degrees as Length is to ____.

**Answer**: Units (Angles are measured in degrees, while length is measured in units such as meters or feet.)

Median is to Data Set as Mode is to ____.

**Answer**: Frequency (The median is the middle value in a data set, while the mode is the value that appears most frequently.)

Cartesian Plane is to Coordinates as Graph is to ____.

**Answer**: Points (The Cartesian plane uses coordinates to define locations, while a graph represents points.)

Polynomial is to Degree as Rational Function is to ____.

**Answer**: Asymptote (A polynomial is characterized by its degree, while a rational function can have asymptotes.)

Hypotenuse is to Triangle as Diameter is to ____.

**Answer**: Circle (The hypotenuse is the longest side of a right triangle, while the diameter is the longest chord of a circle.)

Circumference is to Circle as Surface Area is to ____.

**Answer**: Sphere (Circumference measures the distance around a circle, while surface area measures the outer surface of a sphere.)

Congruent Shapes are to Same Size as Similar Shapes are to ____.

**Answer**: Same Shape (Congruent shapes are identical in size and shape, while similar shapes have the same shape but different sizes.)

Vertex is to Angle as Edge is to ____.

**Answer**: Face (A vertex is the point where two angles meet, while an edge is where two faces meet on a solid.)

Arithmetic Sequence is to Common Difference as Geometric Sequence is to ____.

**Answer**: Common Ratio (An arithmetic sequence has a constant difference between terms, while a geometric sequence has a constant ratio.)

Quadratic Equation is to Parabola as Linear Equation is to ____.

**Answer**: Line (A quadratic equation graphs as a parabola, while a linear equation graphs as a straight line.)

## Question

Function is to Input as Output is to *__*.

Answer: Result (A function takes an input and produces an output, which is the result.)

Line Segment is to Length as Angle is to *__*.

Answer: Measure (A line segment has a length, while an angle has a measure.)

Circle is to Radius as Sphere is to *__*.

Answer: Radius (Both a circle and a sphere are defined by their radius.)

Inequality is to Greater Than as Equation is to *__*.

Answer: Equals (An inequality represents a relationship of greater than or less than, while an equation represents equality.)

Hypothesis is to Conclusion as Premise is to *__*.

Answer: Conclusion (In logic, a hypothesis leads to a conclusion just as a premise leads to a conclusion.)

Probability is to 0 to 1 as Integer is to *__*.

Answer: Whole Number (Probability values range from 0 to 1, while integers can be positive, negative, or zero.)

Scalar is to Magnitude as Vector is to *__*.

Answer: Direction (A scalar quantity has only magnitude, while a vector has both magnitude and direction.)

Graphing Calculator is to Graph as Compass is to *__*.

Answer: Circle (A graphing calculator helps create graphs, while a compass is used to draw circles.)

Equation is to Solve as Function is to *__*.

Answer: Evaluate (We solve equations to find unknowns and evaluate functions to determine outputs.)

Infinity is to Endless as Zero is to *__*.

Answer: Nothing (Infinity represents an unbounded quantity, while zero represents the absence of quantity.)

## Question

Circle is to Pi as Triangle is to *__*.

Answer: Area (The area of a triangle is often expressed in relation to its base and height, similar to how the circumference of a circle relates to Pi.)

Coordinate System is to Location as Graph is to *__*.

Answer: Representation (A coordinate system helps identify locations, while a graph visually represents data or functions.)

Theorem is to Proof as Conjecture is to *__*.

Answer: Investigation (A theorem is established through proof, while a conjecture requires investigation or verification.)

Symmetry is to Balance as Asymmetry is to *__*.

Answer: Irregularity (Symmetry implies balance in shape or arrangement, while asymmetry indicates irregularity.)

Cartesian Coordinates are to Plane as Polar Coordinates are to *__*.

Answer: Circle (Cartesian coordinates define points in a plane, while polar coordinates define points in a circular context.)

Standard Deviation is to Variability as Mean is to *__*.

Answer: Central Tendency (Standard deviation measures variability in a dataset, while the mean indicates the central tendency.)

Conic Sections are to Curves as Vectors are to *__*.

Answer: Directions (Conic sections describe various curves, while vectors describe directions and magnitudes.)

Algorithm is to Process as Formula is to *__*.

Answer: Calculation (An algorithm outlines a process for problem-solving, while a formula provides a method for calculation.)

Ratio is to Comparison as Proportion is to *__*.

Answer: Equality (A ratio compares two quantities, while a proportion states that two ratios are equal.)

Surface Area is to Cube as Volume is to *__*.

Answer: Cylinder (Surface area measures the outside of a cube, while volume measures the space within a cylinder.)

## Question

Equation is to Solve as Inequality is to *__*.

Answer: Graph (Inequalities are often represented graphically to show the range of solutions.)

Angle is to Radians as Length is to *__*.

Answer: Meters (Angles can be measured in radians, just as lengths can be measured in meters.)

Conjunction is to And as Disjunction is to *__*.

Answer: Or (A conjunction combines statements with “and,” while a disjunction combines them with “or.”)

Circle is to Radius as Triangle is to *__*.

Answer: Height (The radius defines a circle, while the height is a key dimension of a triangle.)

Function is to Domain as Relation is to *__*.

Answer: Range (The domain defines the set of possible inputs for a function, while the range defines the set of possible outputs for a relation.)

Prime Factorization is to Unique Factors as Greatest Common Divisor is to *__*.

Answer: Common Factors (Prime factorization breaks down a number into unique prime factors, while the greatest common divisor is the largest common factor among numbers.)

Matrix is to Row as Vector is to *__*.

Answer: Component (A matrix is made up of rows, while a vector consists of components.)

Circle is to Circumference as Square is to *__*.

Answer: Perimeter (The circumference measures the distance around a circle, while the perimeter measures the distance around a square.)

Histogram is to Frequency as Pie Chart is to *__*.

Answer: Proportion (A histogram displays frequency distribution, while a pie chart shows proportions of a whole.)

Addition is to Sum as Subtraction is to *__*.

Answer: Difference (Addition results in a sum, while subtraction results in a difference.)

## Question

Prime Number is to Divisible by One and Itself as Composite Number is to *__*.

Answer: Divisible by Other Numbers (Composite numbers have divisors other than one and themselves.)

Quadratic Formula is to Roots as Slope-Intercept Form is to *__*.

Answer: Line (The quadratic formula finds roots of quadratic equations, while slope-intercept form represents linear equations.)

Median is to Middle Value as Range is to *__*.

Answer: Difference (The median is the middle value in a dataset, while the range is the difference between the maximum and minimum values.)

Probability is to Likelihood as Statistic is to *__*.

Answer: Data Analysis (Probability measures the likelihood of events, while statistics involves data analysis.)

Decimal is to Base 10 as Binary is to *__*.

Answer: Base 2 (Decimal is based on 10, while binary is based on 2.)

Pythagorean Theorem is to Right Triangle as Law of Cosines is to *__*.

Answer: Any Triangle (The Pythagorean theorem applies specifically to right triangles, while the law of cosines applies to any triangle.)

Circle is to Diameter as Rectangle is to *__*.

Answer: Diagonal (The diameter is the longest distance across a circle, while the diagonal is the longest distance across a rectangle.)

Function is to Input-Output as Equation is to *__*.

Answer: Balance (An equation represents a balance between two expressions.)

Complementary Angles are to 90° as Supplementary Angles are to *__*.

Answer: 180° (Complementary angles sum to 90°, while supplementary angles sum to 180°.)

## Question

Addition is to Positive as Subtraction is to *__*.

Answer: Negative (Addition typically increases value, while subtraction can decrease value.)

Perpendicular Lines are to Right Angle as Parallel Lines are to *__*.

Answer: Equal Slopes (Perpendicular lines intersect at a right angle, while parallel lines have equal slopes.)

Graph of a Linear Function is to Straight Line as Graph of a Quadratic Function is to *__*.

Answer: Parabola (Linear functions produce straight lines, while quadratic functions produce parabolas.)

Symmetric Distribution is to Mean as Skewed Distribution is to *__*.

Answer: Median (Symmetric distributions have a mean equal to the median, while skewed distributions often have a median that better represents the center.)

Coordinate Plane is to Axes as Graph is to *__*.

Answer: Points (The coordinate plane has axes to define locations, while a graph consists of points representing data.)

Volume is to Cubic Units as Area is to *__*.

Answer: Square Units (Volume is measured in cubic units, while area is measured in square units.)

Surface Area is to 3D Shapes as Area is to *__*.

Answer: 2D Shapes (Surface area refers to the outer surface of 3D shapes, while area refers to the space within 2D shapes.)

Mean is to Average as Range is to *__*.

Answer: Spread (The mean provides an average value, while the range indicates the spread of values in a dataset.)

Arc is to Circle as Segment is to *__*.

Answer: Line (An arc is a part of a circle, while a segment is a part of a line.)

Derivative is to Instantaneous Rate of Change as Integral is to *__*.

Answer: Total Accumulation (The derivative represents the instantaneous rate of change, while the integral represents total accumulation.)

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