Back-to-School Math Warmup

Arithmetic

1. 100 Which elementary branch of mathematics studies basic numerical operations? Response: arithmetic Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. Source: Wikipedia, “Arithmetic”
2. 200 Which operation combines numbers into a sum? Response: addition Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. Source: Wikipedia, “Arithmetic”
3. 300 Which operation finds what remains after one quantity is taken from another? Response: subtraction Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. Source: Wikipedia, “Arithmetic”
4. 400 Which operation models repeated equal groups? Response: multiplication Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. Source: Wikipedia, “Arithmetic”
5. 500 If you share 42 counters equally among 6 groups, which operation are you using? Response: division Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. Source: Wikipedia, “Arithmetic”

Fractions

1. 100 What kind of number can represent part of a whole? Response: fraction A fraction (from Latin: fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. Source: Wikipedia, “Fraction”
2. 200 Which integer appears above the fraction line? Response: numerator A simple fraction (examples: ⁠1/2⁠ and ⁠17/3⁠) consists of an integer numerator, displayed above a line (or before a slash like 1⁄2), and a non-zero integer denominator, displayed below (or after) that line. Source: Wikipedia, “Fraction”
3. 300 Which nonzero integer appears below the line? Response: denominator A simple fraction (examples: ⁠1/2⁠ and ⁠17/3⁠) consists of an integer numerator, displayed above a line (or before a slash like 1⁄2), and a non-zero integer denominator, displayed below (or after) that line. Source: Wikipedia, “Fraction”
4. 400 The word fraction comes from which Latin word meaning broken? Response: fractus A fraction (from Latin: fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. Source: Wikipedia, “Fraction”
5. 500 Fractions can show part of a whole. What else can they express, such as three to four? Response: ratios Fractions can be used to represent ratios and division. Source: Wikipedia, “Fraction”

Geometry

1. 100 Which branch of mathematics studies properties of space? Response: geometry Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Source: Wikipedia, “Geometry”
2. 200 Geometry studies properties of space such as shape, size, position and which measure between points? Response: distance Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Source: Wikipedia, “Geometry”
3. 300 What is a mathematician working in geometry called? Response: geometer A mathematician who works in the field of geometry is called a geometer. Source: Wikipedia, “Geometry”
4. 400 Which form of geometry dominated the field until the nineteenth century? Response: Euclidean geometry Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. Source: Wikipedia, “Geometry”
5. 500 Besides science and art, which building design field uses geometry? Response: architecture Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics. Source: Wikipedia, “Geometry”

Coordinates

1. 100 For whom are Cartesian coordinates named? Response: René Descartes Cartesian coordinates are named for René Descartes, whose invention thereof in the 17th century revolutionized mathematics by allowing the expression of problems of geometry in terms of algebra and calculus. Source: Wikipedia, “Cartesian coordinate system”
2. 200 Coordinates are written as two numbers inside parentheses. What punctuation mark goes between them? Response: a comma The coordinates are usually written as two numbers in parentheses, in that order, separated by a comma, as in (3, −10.5). Source: Wikipedia, “Cartesian coordinate system”
3. 300 When a point's coordinates are called x and y, what are the two axes called? Response: the X-axis and Y-axis The axes may then be referred to as the X-axis and Y-axis. Source: Wikipedia, “Cartesian coordinate system”
4. 400 What is the point where the axes meet, at zero, zero, called? Response: origin The point where the axes meet is called the origin and has (0, 0) as coordinates. Source: Wikipedia, “Cartesian coordinate system”
5. 500 In three-dimensional space, how many coordinates does each point need? Response: three Cartesian coordinates Similarly, the position of any point in three-dimensional space can be specified by three Cartesian coordinates, which are the signed distances from the point to three mutually perpendicular planes. Source: Wikipedia, “Cartesian coordinate system”

Probability

1. 100 What mathematical idea numerically describes how likely events are? Response: probability Probability concerns events and numerical descriptions of how likely they are to occur. Source: Wikipedia, “Probability”
2. 200 What is the lower endpoint of the standard probability range? Response: 0 The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur. Source: Wikipedia, “Probability”
3. 300 Probability runs from 0 up to which number? Response: 1 The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur. Source: Wikipedia, “Probability”
4. 400 Which decimal is equivalent to the one-half chance of either heads or tails? Response: 0.5 Since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%). Source: Wikipedia, “Probability”
5. 500 As an event becomes more likely, does its probability get larger or smaller? Response: larger The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur. Source: Wikipedia, “Probability”

Final round: Coordinate Language

The two axes split the grid into four quadrants. What is the quadrant called where both coordinates of a point are positive? Response: the first quadrant The quadrants may be named or numbered in various ways, but the quadrant where all coordinates are positive is usually called the first quadrant. Source: Wikipedia, “Cartesian coordinate system”