Back-to-School Math Warmup
A complete math-language board covering operations, fractions, geometry, coordinates, and probability.
The board
Swipe the board sideways · 5 categories
| Arithmetic | Fractions | Geometry | Coordinates | Probability |
|---|---|---|---|---|
| 100Which elementary branch of mathematics studies basic numerical operations? | 100What kind of number can represent part of a whole? | 100Which branch of mathematics studies properties of space? | 100For whom are Cartesian coordinates named? | 100What mathematical idea numerically describes how likely events are? |
| 200Which named operation combines quantities into a sum? | 200Which integer appears above the fraction line? | 200Which quantity between locations appears first in the listed spatial properties? | 200What do the directions of the coordinate axes represent? | 200What is the lower endpoint of the standard probability range? |
| 300Which operation finds what remains after one quantity is taken from another? | 300Which nonzero integer appears below the line? | 300What is a mathematician working in geometry called? | 300What frame is formed by combining the origin and basis? | 300What is the upper endpoint of that range? |
| 400Which operation models repeated equal groups before division reverses the process? | 400Which Latin word meaning broken is given as the origin of the English term? | 400Which form of geometry dominated the field until the nineteenth century? | 400What name is given to the axes' meeting point at ordered pair zero, zero? | 400Which decimal is equivalent to the one-half chance of either heads or tails? |
| 500A student shares 42 counters equally among 6 groups. Which basic operation should be selected? | 500A problem uses three-fourths to relate two quantities rather than shade one object. Which broader fraction use supports it? | 500A student seeks the built-environment application explicitly listed with art and science. Which field should the project use? | 500A model moves from a plane into three-dimensional space. How many Cartesian values are needed for each point? | 500A forecast becomes more likely. According to the source, what must happen to its probability number? |
Ages 10 to 13 · 25 of 25 clues written · final round · about 20 minutes
26 of 26 answers carry the sentence they were checked against
Play time assumes about 40 seconds a clue plus three minutes for the final round. Nothing is saved to a server and no account is needed. How answers are checked.
Player sheet
Back-to-School Math Warmup · Ages 10 to 13 · answers are on the host key
Arithmetic
- 100 Which elementary branch of mathematics studies basic numerical operations?
- 200 Which named operation combines quantities into a sum?
- 300 Which operation finds what remains after one quantity is taken from another?
- 400 Which operation models repeated equal groups before division reverses the process?
- 500 A student shares 42 counters equally among 6 groups. Which basic operation should be selected?
Fractions
- 100 What kind of number can represent part of a whole?
- 200 Which integer appears above the fraction line?
- 300 Which nonzero integer appears below the line?
- 400 Which Latin word meaning broken is given as the origin of the English term?
- 500 A problem uses three-fourths to relate two quantities rather than shade one object. Which broader fraction use supports it?
Geometry
- 100 Which branch of mathematics studies properties of space?
- 200 Which quantity between locations appears first in the listed spatial properties?
- 300 What is a mathematician working in geometry called?
- 400 Which form of geometry dominated the field until the nineteenth century?
- 500 A student seeks the built-environment application explicitly listed with art and science. Which field should the project use?
Coordinates
- 100 For whom are Cartesian coordinates named?
- 200 What do the directions of the coordinate axes represent?
- 300 What frame is formed by combining the origin and basis?
- 400 What name is given to the axes' meeting point at ordered pair zero, zero?
- 500 A model moves from a plane into three-dimensional space. How many Cartesian values are needed for each point?
Probability
- 100 What mathematical idea numerically describes how likely events are?
- 200 What is the lower endpoint of the standard probability range?
- 300 What is the upper endpoint of that range?
- 400 Which decimal is equivalent to the one-half chance of either heads or tails?
- 500 A forecast becomes more likely. According to the source, what must happen to its probability number?
Final round: Coordinate Language
In an n-dimensional Euclidean space, how many Cartesian coordinates specify a point?
Host key
Back-to-School Math Warmup · keep this sheet · it carries the answers
Arithmetic
- 100 Which elementary branch of mathematics studies basic numerical operations? Response: arithmeticChecked against:
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division.
Source: https://en.wikipedia.org/w/index.php?title=Arithmetic&oldid=1364853311 - 200 Which named operation combines quantities into a sum? Response: additionChecked against:
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division.
Source: https://en.wikipedia.org/w/index.php?title=Arithmetic&oldid=1364853311 - 300 Which operation finds what remains after one quantity is taken from another? Response: subtractionChecked against:
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division.
Source: https://en.wikipedia.org/w/index.php?title=Arithmetic&oldid=1364853311 - 400 Which operation models repeated equal groups before division reverses the process? Response: multiplicationChecked against:
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division.
Source: https://en.wikipedia.org/w/index.php?title=Arithmetic&oldid=1364853311 - 500 A student shares 42 counters equally among 6 groups. Which basic operation should be selected? Response: divisionChecked against:
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division.
Source: https://en.wikipedia.org/w/index.php?title=Arithmetic&oldid=1364853311
Fractions
- 100 What kind of number can represent part of a whole? Response: fractionChecked against:
A fraction (from Latin: fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.
Source: https://en.wikipedia.org/w/index.php?title=Fraction&oldid=1364911368 - 200 Which integer appears above the fraction line? Response: numeratorChecked against:
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: https://en.wikipedia.org/w/index.php?title=Fraction&oldid=1364911368 - 300 Which nonzero integer appears below the line? Response: denominatorChecked against:
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: https://en.wikipedia.org/w/index.php?title=Fraction&oldid=1364911368 - 400 Which Latin word meaning broken is given as the origin of the English term? Response: fractusChecked against:
A fraction (from Latin: fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.
Source: https://en.wikipedia.org/w/index.php?title=Fraction&oldid=1364911368 - 500 A problem uses three-fourths to relate two quantities rather than shade one object. Which broader fraction use supports it? Response: ratiosChecked against:
Fractions can be used to represent ratios and division.
Source: https://en.wikipedia.org/w/index.php?title=Fraction&oldid=1364911368
Geometry
- 100 Which branch of mathematics studies properties of space? Response: geometryChecked against:
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.
Source: https://en.wikipedia.org/w/index.php?title=Geometry&oldid=1360283907 - 200 Which quantity between locations appears first in the listed spatial properties? Response: distanceChecked against:
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.
Source: https://en.wikipedia.org/w/index.php?title=Geometry&oldid=1360283907 - 300 What is a mathematician working in geometry called? Response: geometerChecked against:
A mathematician who works in the field of geometry is called a geometer.
Source: https://en.wikipedia.org/w/index.php?title=Geometry&oldid=1360283907 - 400 Which form of geometry dominated the field until the nineteenth century? Response: Euclidean geometryChecked against:
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: https://en.wikipedia.org/w/index.php?title=Geometry&oldid=1360283907 - 500 A student seeks the built-environment application explicitly listed with art and science. Which field should the project use? Response: architectureChecked against:
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: https://en.wikipedia.org/w/index.php?title=Geometry&oldid=1360283907
Coordinates
- 100 For whom are Cartesian coordinates named? Response: René DescartesChecked against:
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: https://en.wikipedia.org/w/index.php?title=Cartesian_coordinate_system&oldid=1358802003 - 200 What do the directions of the coordinate axes represent? Response: an orthogonal basisChecked against:
The axes directions represent an orthogonal basis.
Source: https://en.wikipedia.org/w/index.php?title=Cartesian_coordinate_system&oldid=1358802003 - 300 What frame is formed by combining the origin and basis? Response: the Cartesian frameChecked against:
The combination of origin and basis forms a coordinate frame called the Cartesian frame.
Source: https://en.wikipedia.org/w/index.php?title=Cartesian_coordinate_system&oldid=1358802003 - 400 What name is given to the axes' meeting point at ordered pair zero, zero? Response: originChecked against:
The point where the axes meet is called the origin and has (0, 0) as coordinates.
Source: https://en.wikipedia.org/w/index.php?title=Cartesian_coordinate_system&oldid=1358802003 - 500 A model moves from a plane into three-dimensional space. How many Cartesian values are needed for each point? Response: three Cartesian coordinatesChecked against:
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: https://en.wikipedia.org/w/index.php?title=Cartesian_coordinate_system&oldid=1358802003
Probability
- 100 What mathematical idea numerically describes how likely events are? Response: probabilityChecked against:
Probability concerns events and numerical descriptions of how likely they are to occur.
Source: https://en.wikipedia.org/w/index.php?title=Probability&oldid=1364646894 - 200 What is the lower endpoint of the standard probability range? Response: 0Checked against:
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: https://en.wikipedia.org/w/index.php?title=Probability&oldid=1364646894 - 300 What is the upper endpoint of that range? Response: 1Checked against:
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: https://en.wikipedia.org/w/index.php?title=Probability&oldid=1364646894 - 400 Which decimal is equivalent to the one-half chance of either heads or tails? Response: 0.5Checked against:
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: https://en.wikipedia.org/w/index.php?title=Probability&oldid=1364646894 - 500 A forecast becomes more likely. According to the source, what must happen to its probability number? Response: a larger probabilityChecked against:
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: https://en.wikipedia.org/w/index.php?title=Probability&oldid=1364646894
Final round: Coordinate Language
In an n-dimensional Euclidean space, how many Cartesian coordinates specify a point? Response: n Cartesian coordinatesChecked against: More generally, n Cartesian coordinates specify the point in an n-dimensional Euclidean space for any dimension n.
Source: https://en.wikipedia.org/w/index.php?title=Cartesian_coordinate_system&oldid=1358802003
Every clue, every answer, and what it was checked against
This is what prints on the host key.
Arithmetic
Which elementary branch of mathematics studies basic numerical operations? 100
arithmeticChecked against:
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division.
Source, pinned revisionWhich named operation combines quantities into a sum? 200
additionChecked against:
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division.
Source, pinned revisionWhich operation finds what remains after one quantity is taken from another? 300
subtractionChecked against:
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division.
Source, pinned revisionWhich operation models repeated equal groups before division reverses the process? 400
multiplicationChecked against:
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division.
Source, pinned revisionA student shares 42 counters equally among 6 groups. Which basic operation should be selected? 500
divisionChecked against:
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division.
Source, pinned revision
Fractions
What kind of number can represent part of a whole? 100
fractionChecked against:
A fraction (from Latin: fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.
Source, pinned revisionWhich integer appears above the fraction line? 200
numeratorChecked against:
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, pinned revisionWhich nonzero integer appears below the line? 300
denominatorChecked against:
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, pinned revisionWhich Latin word meaning broken is given as the origin of the English term? 400
fractusChecked against:
A fraction (from Latin: fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.
Source, pinned revisionA problem uses three-fourths to relate two quantities rather than shade one object. Which broader fraction use supports it? 500
ratiosChecked against:
Fractions can be used to represent ratios and division.
Source, pinned revision
Geometry
Which branch of mathematics studies properties of space? 100
geometryChecked against:
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.
Source, pinned revisionWhich quantity between locations appears first in the listed spatial properties? 200
distanceChecked against:
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.
Source, pinned revisionWhat is a mathematician working in geometry called? 300
geometerChecked against:
A mathematician who works in the field of geometry is called a geometer.
Source, pinned revisionWhich form of geometry dominated the field until the nineteenth century? 400
Euclidean geometryChecked against:
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, pinned revisionA student seeks the built-environment application explicitly listed with art and science. Which field should the project use? 500
architectureChecked against:
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, pinned revision
Coordinates
For whom are Cartesian coordinates named? 100
René DescartesChecked against:
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, pinned revisionWhat do the directions of the coordinate axes represent? 200
an orthogonal basisChecked against:
The axes directions represent an orthogonal basis.
Source, pinned revisionWhat frame is formed by combining the origin and basis? 300
the Cartesian frameChecked against:
The combination of origin and basis forms a coordinate frame called the Cartesian frame.
Source, pinned revisionWhat name is given to the axes' meeting point at ordered pair zero, zero? 400
originChecked against:
The point where the axes meet is called the origin and has (0, 0) as coordinates.
Source, pinned revisionA model moves from a plane into three-dimensional space. How many Cartesian values are needed for each point? 500
three Cartesian coordinatesChecked against:
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, pinned revision
Probability
What mathematical idea numerically describes how likely events are? 100
probabilityChecked against:
Probability concerns events and numerical descriptions of how likely they are to occur.
Source, pinned revisionWhat is the lower endpoint of the standard probability range? 200
0Checked against:
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, pinned revisionWhat is the upper endpoint of that range? 300
1Checked against:
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, pinned revisionWhich decimal is equivalent to the one-half chance of either heads or tails? 400
0.5Checked against:
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, pinned revisionA forecast becomes more likely. According to the source, what must happen to its probability number? 500
a larger probabilityChecked against:
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, pinned revision
Final round
In an n-dimensional Euclidean space, how many Cartesian coordinates specify a point?
n Cartesian coordinatesChecked against:
More generally, n Cartesian coordinates specify the point in an n-dimensional Euclidean space for any dimension n.
Source, pinned revision
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