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0:noun:0#qa0
0:noun:0
0
0
noun
0
everyday_life.quantity_time
tier5
What number leaves another number unchanged when added to it?
Zero leaves another number unchanged when it is added to it.
factual
easy
[ "0:encyclopedia#neutral/plain" ]
0:noun:0#qa1
0:noun:0
0
0
noun
0
everyday_life.quantity_time
tier5
What does zero mean as an element of addition?
It is a mathematical element that can be added to another number without changing that number.
definition
easy
[ "0:noun:0#neutral/plain" ]
0:noun:0#qa2
0:noun:0
0
0
noun
0
everyday_life.quantity_time
tier5
Why does the zero in 205 indicate an empty tens place without changing the hundreds and ones positions?
Zero marks an empty place in positional notation, preserving the positions of the other digits; in 205, it indicates that there are no tens while the hundreds and ones positions remain in place.
reasoning
medium
[ "0:encyclopedia#neutral/plain" ]
0:noun:0#qa3
0:noun:0
0
0
noun
0
everyday_life.quantity_time
tier5
How does zero’s role in addition differ from one’s role in multiplication?
Zero is the additive identity because adding it leaves a number unchanged. One is the multiplicative identity.
comparison
medium
[ "0:encyclopedia#neutral/plain" ]
0:noun:0#qa4
0:noun:0
0
0
noun
0
everyday_life.quantity_time
tier5
How can you use zero to add nothing to a value while keeping the value unchanged?
Add zero to the value; the result is the same value as before.
procedural
easy
[ "0:noun:0#ex1" ]
0:noun:0#qa5
0:noun:0
0
0
noun
0
everyday_life.quantity_time
tier5
Why is division by zero undefined?
No number multiplied by zero can produce a nonzero dividend, so division by zero is undefined.
causal
medium
[ "0:encyclopedia#neutral/plain" ]
0:noun:0#qa6
0:noun:0
0
0
noun
0
everyday_life.quantity_time
tier5
If a quantity represents no counted objects, would it still have arithmetic properties?
Yes. Zero represents the absence of counted objects, but it is still a number with its own arithmetic properties.
hypothetical
medium
[ "0:encyclopedia#neutral/plain" ]
0:adjective:0#qa0
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
What score did the player finish the round with?
The player finished with a score of 0.
factual
easy
[ "0:adjective:0#ex3" ]
0:adjective:0#qa1
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
What does a score of 0 indicate?
It indicates the absence of any points being counted in the score.
definition
medium
[ "0:adjective:0#neutral/plain", "0:adjective:0#ex4" ]
0:adjective:0#qa2
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
If missing every shot results in a score of 0, what does that suggest about the score when no points are earned?
The score indicates that no points were earned; it represents an absence of counted units.
reasoning
hard
[ "0:adjective:0#ex1", "0:adjective:0#neutral/plain", "0:adjective:0#ex4" ]
0:adjective:0#qa3
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
How do the examples differ in what happened before a score of 0 was recorded?
In one, the player missed every shot; in the other, the team failed to earn any points.
comparison
medium
[ "0:adjective:0#ex1", "0:adjective:0#ex4" ]
0:adjective:0#qa4
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
How can a player end up with a score of 0 in the examples?
The player can miss every shot and finish with a score of 0.
procedural
easy
[ "0:adjective:0#ex1" ]
0:adjective:0#qa5
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
Why did the team record a score of 0?
The team failed to earn any points.
causal
easy
[ "0:adjective:0#ex4" ]
0:adjective:0#qa6
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
If the team earned points instead of failing to earn any, would a score of 0 still indicate the result described?
No. A score of 0 indicates the absence of counted units, while earning points would mean that points were counted.
hypothetical
hard
[ "0:adjective:0#neutral/plain", "0:adjective:0#ex4" ]
0:adjective:0#qa7
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
What does a zero score indicate about the units being counted?
It indicates the absence of any or all of the units under consideration.
definition
easy
[ "0:adjective:0#neutral/plain" ]
0:adjective:0#qa8
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
How does zero help represent 205 in positional notation?
It marks the empty tens place while preserving the hundreds and ones positions.
procedural
medium
[ "0:encyclopedia#neutral/plain" ]
0:adjective:0#qa9
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
How do zero and one differ in their roles in arithmetic?
Zero is the additive identity, leaving another number unchanged when added, while one is the multiplicative identity.
comparison
medium
[ "0:encyclopedia#neutral/plain" ]
0:adjective:0#qa10
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
If a player misses every shot, what does the resulting score show about the counted points?
The score of 0 indicates that no points were earned.
reasoning
hard
[ "0:adjective:0#ex4", "0:adjective:0#neutral/plain" ]
0:adjective:0#qa11
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
What effect did positional decimal notation have when it reached Europe?
It made calculation and record-keeping much more efficient.
causal
medium
[ "0:encyclopedia#neutral/plain" ]
0:adjective:0#qa12
0:adjective:0
0
0
adjective
0
mathematics.arithmetic
tier5
If the zero were removed from 205, what positional information would no longer be explicitly marked?
The empty tens place would no longer be marked, so the numeral would not preserve the hundreds and ones positions in the same way.
hypothetical
hard
[ "0:encyclopedia#neutral/plain" ]
1:noun:0#qa0
1:noun:0
1
1
noun
0
everyday_life.quantity_time
tier5
What does the numeral 1 represent?
It represents the smallest whole number.
definition
easy
[ "1:noun:0#neutral/plain" ]
1:noun:0#qa1
1:noun:0
1
1
noun
0
everyday_life.quantity_time
tier5
How does 1 differ from 2 and 3 in the sequence described?
1 begins the sequence, while 2 and 3 are the numbers added to complete it.
comparison
medium
[ "1:noun:0#ex5" ]
1:noun:0#qa2
1:noun:0
1
1
noun
0
everyday_life.quantity_time
tier5
Why is 1 neither prime nor composite?
It has just one positive divisor, itself.
causal
medium
[ "1:encyclopedia#neutral/plain" ]
1:noun:0#qa3
1:noun:0
1
1
noun
0
everyday_life.quantity_time
tier5
If a set contains exactly one object, what does 1 tell you about the set?
It gives the set’s cardinality: the number of elements in it is one.
reasoning
medium
[ "1:encyclopedia#neutral/plain" ]
1:noun:0#qa4
1:noun:0
1
1
noun
0
everyday_life.quantity_time
tier5
If 7 were multiplied by 1, what would the result be?
The result would be 7, because multiplying any number by 1 leaves it unchanged.
hypothetical
easy
[ "1:encyclopedia#neutral/plain" ]
1:adjective:0#qa0
1:adjective:0
1
1
adjective
0
everyday_life.quantity_time
tier5
What did the shelf hold after the library sale?
It held only one book.
factual
easy
[ "1:adjective:0#ex4" ]
1:adjective:0#qa1
1:adjective:0
1
1
adjective
0
everyday_life.quantity_time
tier5
What does “one” mean when it describes a thing?
It means the thing is a single unit, not two or more.
definition
easy
[ "1:adjective:0#neutral/plain" ]
1:adjective:0#qa2
1:adjective:0
1
1
adjective
0
everyday_life.quantity_time
tier5
If a collection contains only one surviving photograph, how many photographs survived?
Exactly one photograph survived, since one refers to a single unit rather than two or more.
reasoning
medium
[ "1:adjective:0#neutral/plain", "1:adjective:0#ex5" ]
1:adjective:0#qa3
1:adjective:0
1
1
adjective
0
everyday_life.quantity_time
tier5
How does having one red ball differ from having two or more red balls?
Having one red ball means there is a single ball; having two or more means there is more than a single unit.
comparison
medium
[ "1:adjective:0#neutral/plain", "1:adjective:0#ex2" ]
1:adjective:0#qa4
1:adjective:0
1
1
adjective
0
everyday_life.quantity_time
tier5
When counting objects one at a time, what basic unit does the number 1 represent?
It represents a single object, the basic unit used in counting.
procedural
medium
[ "1:encyclopedia#neutral/plain" ]
1:adjective:0#qa5
1:adjective:0
1
1
adjective
0
everyday_life.quantity_time
tier5
If only one cookie remained in the jar, how many cookies would be left?
One cookie would be left: a single cookie, not two or more.
hypothetical
medium
[ "1:adjective:0#neutral/plain", "1:adjective:0#ex3" ]
10:noun:0#qa0
10:noun:0
10
10
noun
0
everyday_life.quantity_time
tier5
What digits are used to write ten in the decimal system?
It is written with the digits 1 and 0.
factual
easy
[ "10:encyclopedia#neutral/plain" ]
10:noun:0#qa1
10:noun:0
10
10
noun
0
everyday_life.quantity_time
tier5
What does the noun “10” mean?
It is the number formed by adding nine and one, and it is the base of the decimal system.
definition
medium
[ "10:noun:0#neutral/plain" ]
10:noun:0#qa2
10:noun:0
10
10
noun
0
everyday_life.quantity_time
tier5
If you add one to nine, where does the resulting number fall in the counting sequence?
The result is 10, which follows 9 and comes before 11.
reasoning
hard
[ "10:noun:0#neutral/plain", "10:encyclopedia#neutral/plain" ]
10:noun:0#qa3
10:noun:0
10
10
noun
0
everyday_life.quantity_time
tier5
How is ten written in decimal notation compared with binary notation?
In decimal notation it is written 10; in binary it is written 1010.
comparison
easy
[ "10:encyclopedia#neutral/plain" ]
10:noun:0#qa4
10:noun:0
10
10
noun
0
everyday_life.quantity_time
tier5
How do the digits in 10 express its quantity using place value?
The 1 represents one group of ten, and the 0 indicates that there are no single units left over.
procedural
medium
[ "10:encyclopedia#neutral/plain" ]
10:noun:0#qa5
10:noun:0
10
10
noun
0
everyday_life.quantity_time
tier5
Why is the use of 10 widespread in human counting practices?
Its widespread use is linked to human counting practices, especially counting on the fingers.
causal
easy
[ "10:encyclopedia#neutral/plain" ]
10:adjective:0#qa0
10:adjective:0
10
10
adjective
0
mathematics.arithmetic
tier5
How many points did Maya score during the game's final round?
Maya scored 10 points.
factual
easy
[ "10:adjective:0#ex4" ]
10:adjective:0#qa1
10:adjective:0
10
10
adjective
0
mathematics.arithmetic
tier5
How is the quantity ten written in decimal notation compared with binary notation?
In decimal notation it is written with the digits 1 and 0; in binary it is written 1010.
comparison
medium
[ "10:encyclopedia#neutral/plain" ]
10:adjective:0#qa2
10:adjective:0
10
10
adjective
0
mathematics.arithmetic
tier5
How does place-value notation represent 10?
It uses the digits 1 and 0: the 1 stands for one group of ten, and the 0 shows there are no single units left over.
procedural
medium
[ "10:encyclopedia#neutral/plain" ]
10:adjective:0#qa3
10:adjective:0
10
10
adjective
0
mathematics.arithmetic
tier5
Why is the widespread use of 10 linked to human counting practices?
It is linked especially to counting on the fingers.
causal
easy
[ "10:encyclopedia#neutral/plain" ]
10:adjective:0#qa4
10:adjective:0
10
10
adjective
0
mathematics.arithmetic
tier5
If the 1 in 10 moved one place to the left in decimal place-value notation, what value would it represent?
It would represent 100, because moving one place to the left multiplies a digit’s value by ten.
hypothetical
hard
[ "10:encyclopedia#neutral/plain" ]
100:noun:0#qa0
100:noun:0
100
100
noun
0
everyday_life.quantity_time
tier5
What does 100 represent as a number?
It represents ten groups of ten, or ten 10s.
definition
easy
[ "100:noun:0#neutral/plain", "100:encyclopedia#neutral/plain" ]
100:noun:0#qa1
100:noun:0
100
100
noun
0
everyday_life.quantity_time
tier5
If each of ten groups contains ten things, how many things are there altogether?
There are 100 things altogether, since 100 is made up of ten groups of ten.
reasoning
medium
[ "100:encyclopedia#neutral/plain" ]
100:noun:0#qa2
100:noun:0
100
100
noun
0
everyday_life.quantity_time
tier5
How does 100 as a quantity differ from 100th as a position?
100 represents a quantity of one hundred individual things, while 100th describes a position in an ordered sequence, such as the 100th page.
comparison
medium
[ "100:encyclopedia#neutral/plain" ]
100:noun:0#qa3
100:noun:0
100
100
noun
0
everyday_life.quantity_time
tier5
How is 100 written in the decimal system, and what do its zeros indicate?
It is written with the digit 1 followed by two zeros. The zeros show that the tens and ones places are empty.
procedural
medium
[ "100:encyclopedia#neutral/plain" ]
100:noun:0#qa4
100:noun:0
100
100
noun
0
everyday_life.quantity_time
tier5
Why is 100 especially important in modern everyday counting?
Modern everyday counting is based on ten, and 100 is made up of ten groups of ten.
causal
medium
[ "100:encyclopedia#neutral/plain" ]
100:noun:0#qa5
100:noun:0
100
100
noun
0
everyday_life.quantity_time
tier5
If a score is 25%, what fraction out of 100 does that represent?
It represents 25 out of 100, or one quarter.
hypothetical
easy
[ "100:encyclopedia#neutral/plain" ]
100:adjective:0#qa0
100:adjective:0
100
100
adjective
0
mathematics.arithmetic
tier5
How many small toys can the box hold?
It can hold 100 small toys.
factual
easy
[ "100:adjective:0#ex2" ]
100:adjective:0#qa1
100:adjective:0
100
100
adjective
0
mathematics.arithmetic
tier5
What does “100” mean as an adjective in this sense?
It describes something as having a value ten greater than ninety.
definition
medium
[ "100:adjective:0#neutral/plain" ]
100:adjective:0#qa2
100:adjective:0
100
100
adjective
0
mathematics.arithmetic
tier5
If 100 is made up of ten groups of ten, how many individual things does it represent?
It represents one hundred individual things, arranged as ten groups of ten.
reasoning
medium
[ "100:encyclopedia#neutral/plain" ]
100:adjective:0#qa3
100:adjective:0
100
100
adjective
0
mathematics.arithmetic
tier5
How is 100 written in the decimal system?
It is written using the digit 1 followed by two zeros.
procedural
easy
[ "100:encyclopedia#neutral/plain" ]
100:adjective:0#qa4
100:adjective:0
100
100
adjective
0
mathematics.arithmetic
tier5
Why is 100 especially important in everyday counting?
It is especially important because modern everyday counting is based on ten.
causal
easy
[ "100:encyclopedia#neutral/plain" ]
100:adjective:0#qa5
100:adjective:0
100
100
adjective
0
mathematics.arithmetic
tier5
If a natural-number sequence is at 99, what number would come next?
The next number would be 100, which comes after 99 and before 101.
hypothetical
medium
[ "100:encyclopedia#neutral/plain" ]
1000:noun:0#qa0
1000:noun:0
1000
1000
noun
0
everyday_life.quantity_time
tier5
What number comes immediately after 999 and before 1001?
1000 comes immediately after 999 and before 1001.
factual
easy
[ "1000:encyclopedia#neutral/plain" ]
1000:noun:0#qa1
1000:noun:0
1000
1000
noun
0
everyday_life.quantity_time
tier5
What does 1000 mean as a number?
It is the cardinal number made by multiplying 10 by 100.
definition
easy
[ "1000:noun:0#neutral/plain" ]
1000:noun:0#qa2
1000:noun:0
1000
1000
noun
0
everyday_life.quantity_time
tier5
If ten bags hold 1000 beads altogether and each bag holds the same number, how many beads are in each bag?
Each bag holds 100 beads, since 1000 divided among ten equal bags is 100 per bag.
reasoning
medium
[ "1000:noun:0#ex1" ]
1000:noun:0#qa3
1000:noun:0
1000
1000
noun
0
everyday_life.quantity_time
tier5
How does an exact quantity of one thousand differ from using “thousands” to describe visitors?
One thousand is an exact quantity, while “thousands of visitors” describes a large number that is not precisely counted.
comparison
medium
[ "1000:encyclopedia#neutral/plain" ]
1000:noun:0#qa4
1000:noun:0
1000
1000
noun
0
everyday_life.quantity_time
tier5
Why does the usual decimal writing of 1000 include a comma?
The comma marks the separation of thousands from smaller place values.
causal
easy
[ "1000:encyclopedia#neutral/plain" ]
1000:noun:0#qa5
1000:noun:0
1000
1000
noun
0
everyday_life.quantity_time
tier5
If a number is multiplied by 1000, what happens to its decimal point?
Its decimal point shifts three places to the right.
hypothetical
medium
[ "1000:encyclopedia#neutral/plain" ]
1000:noun:0#qa6
1000:noun:0
1000
1000
noun
0
everyday_life.quantity_time
tier5
If ten groups of 100 are added together, how does that relate to multiplying 10 by 100?
Both describe the same calculation: ten groups of 100 make 1000, which is 10 times 100.
reasoning
hard
[ "1000:noun:0#ex0", "1000:noun:0#ex5" ]
1000:noun:0#qa7
1000:noun:0
1000
1000
noun
0
everyday_life.quantity_time
tier5
How does an exact quantity of one thousand differ from saying “thousands” of visitors?
One thousand gives an exact quantity, while “thousands” of visitors refers to a large number that is not precisely counted.
comparison
medium
[ "1000:encyclopedia#neutral/plain" ]
1000:noun:0#qa8
1000:noun:0
1000
1000
noun
0
everyday_life.quantity_time
tier5
How can ten boxes be used to make a total of 1000 books?
Put 100 books in each of the ten boxes; together they hold 1000 books.
procedural
easy
[ "1000:noun:0#ex2" ]
1000:noun:0#qa9
1000:noun:0
1000
1000
noun
0
everyday_life.quantity_time
tier5
Why does multiplying a number by 1000 move its decimal point three places to the right?
Because 1000 is a power of ten, equal to 10³.
causal
medium
[ "1000:encyclopedia#neutral/plain" ]
1000:adjective:0#qa0
1000:adjective:0
1000
1000
adjective
0
everyday_life.quantity_time
tier5
How many tickets are available for the show?
There are 1000 tickets available.
factual
easy
[ "1000:adjective:0#ex1" ]
1000:adjective:0#qa1
1000:adjective:0
1000
1000
adjective
0
everyday_life.quantity_time
tier5
What does “1000” mean when it describes a quantity?
It means the quantity consists of one thousand items or units.
definition
medium
[ "1000:adjective:0#neutral/plain" ]
1000:adjective:0#qa2
1000:adjective:0
1000
1000
adjective
0
everyday_life.quantity_time
tier5
A textbook has 1000 pages, and a jar holds 1000 beads. What do these descriptions have in common?
Each describes a quantity of 1000: the textbook has that many pages, and the jar holds that many beads.
reasoning
medium
[ "1000:adjective:0#ex0", "1000:adjective:0#ex2" ]
1000:adjective:0#qa3
1000:adjective:0
1000
1000
adjective
0
everyday_life.quantity_time
tier5
How does 1000 differ from 999 in its position among natural numbers?
1000 comes immediately after 999.
comparison
easy
[ "1000:encyclopedia#neutral/plain" ]
1000:adjective:0#qa4
1000:adjective:0
1000
1000
adjective
0
everyday_life.quantity_time
tier5
How does multiplying a number by 1000 affect its decimal point?
It shifts the decimal point three places to the right.
procedural
easy
[ "1000:encyclopedia#neutral/plain" ]
1000:adjective:0#qa5
1000:adjective:0
1000
1000
adjective
0
everyday_life.quantity_time
tier5
What feature of 1000 makes it a place-value boundary?
Three zeros follow the digit 1 in 1000, making it a boundary between hundreds and larger quantities.
causal
medium
[ "1000:encyclopedia#neutral/plain" ]
10000:noun:0#qa0
10000:noun:0
10000
10000
noun
0
everyday_life.quantity_time
tier5
How many cans did the school collect for the food drive?
The school collected 10,000 cans.
factual
easy
[ "10000:noun:0#ex3" ]
10000:noun:0#qa1
10000:noun:0
10000
10000
noun
0
everyday_life.quantity_time
tier5
What does 10000 mean as a number?
It is the cardinal number ten thousand, formed by multiplying ten by one thousand.
definition
easy
[ "10000:noun:0#neutral/plain" ]
10000:noun:0#qa2
10000:noun:0
10000
10000
noun
0
everyday_life.quantity_time
tier5
If 10000 represents one ten-thousand, how many thousands does that amount to?
It amounts to ten thousands.
reasoning
medium
[ "10000:encyclopedia#neutral/plain" ]
10000:noun:0#qa3
10000:noun:0
10000
10000
noun
0
everyday_life.quantity_time
tier5
How does English-language notation for 10000 differ from notation used in many other countries?
English-language notation writes it as 10,000, with a comma separating groups of three digits; many countries use a space or a period instead.
comparison
medium
[ "10000:encyclopedia#neutral/plain" ]
10000:noun:0#qa4
10000:noun:0
10000
10000
noun
0
everyday_life.quantity_time
tier5
How is 10000 written in English-language notation?
It is written as 10,000, with a comma separating the groups of three digits.
procedural
easy
[ "10000:encyclopedia#neutral/plain" ]
10000:noun:0#qa5
10000:noun:0
10000
10000
noun
0
everyday_life.quantity_time
tier5
Why do the zeroes help make 10,000 easy to represent?
The zeroes act as placeholders for empty lower places, while the 1 occupies the ten-thousands place.
causal
medium
[ "10000:encyclopedia#neutral/plain" ]
10000:noun:0#qa6
10000:noun:0
10000
10000
noun
0
everyday_life.quantity_time
tier5
If the ten-thousands place were occupied by 1 but the lower places were not marked with zeroes, what would be lost in representing the number?
The zeroes indicate the empty lower places, so without them the numeral would no longer show those places as empty in the way described.
hypothetical
hard
[ "10000:encyclopedia#neutral/plain" ]
100000:noun:0#qa0
100000:noun:0
100000
100000
noun
0
everyday_life.quantity_time
tier5
What is the decimal number 100000 the fifth power of?
It is the fifth power of ten.
factual
easy
[ "100000:noun:0#neutral/plain" ]
100000:noun:0#qa1
100000:noun:0
100000
100000
noun
0
everyday_life.quantity_time
tier5
What does 100000 mean as a cardinal number?
It is the number equal to ten multiplied by itself five times.
definition
medium
[ "100000:encyclopedia#neutral/plain" ]
100000:noun:0#qa2
100000:noun:0
100000
100000
noun
0
everyday_life.quantity_time
tier5
How does the notation 100k differ from 10⁵ in what it represents?
They are two different ways of writing the same number, 100,000.
comparison
medium
[ "100000:encyclopedia#neutral/plain" ]
100000:noun:0#qa3
100000:noun:0
100000
100000
noun
0
everyday_life.quantity_time
tier5
How can you form 100000 by repeatedly multiplying ten?
Multiply ten by itself five times: 10 × 10 × 10 × 10 × 10.
procedural
easy
[ "100000:encyclopedia#neutral/plain" ]
100000:noun:0#qa4
100000:noun:0
100000
100000
noun
0
everyday_life.quantity_time
tier5
Why is 100000 equal to 100 kilounits?
The prefix “kilo-” means one thousand, and 100,000 equals 100 times one thousand units.
causal
medium
[ "100000:encyclopedia#neutral/plain" ]
100000:noun:0#qa5
100000:noun:0
100000
100000
noun
0
everyday_life.quantity_time
tier5
If 100000 were written using the Indian numbering system, how would it appear?
It would be written as 1,00,000 and called a lakh.
hypothetical
easy
[ "100000:encyclopedia#neutral/plain" ]
1000000:noun:0#qa0
1000000:noun:0
1000000
1000000
noun
0
everyday_life.quantity_time
tier5
What does 1000000 mean?
It is the number written as a 1 followed by six zeros.
definition
easy
[ "1000000:noun:0#neutral/plain" ]
1000000:noun:0#qa1
1000000:noun:0
1000000
1000000
noun
0
everyday_life.quantity_time
tier5
If a million can be written as 100 groups of 10,000, how many groups of 1,000 make the same number?
It takes 1,000 groups of 1,000 to make a million.
reasoning
medium
[ "1000000:encyclopedia#neutral/plain" ]
1000000:noun:0#qa2
1000000:noun:0
1000000
1000000
noun
0
everyday_life.quantity_time
tier5
How does a million differ from a billion in the widely used short-scale system?
A million is 1,000,000, while a billion means 1,000 million, or 10⁹.
comparison
medium
[ "1000000:encyclopedia#neutral/plain" ]
1000000:noun:0#qa3
1000000:noun:0
1000000
1000000
noun
0
everyday_life.quantity_time
tier5
Why does a comma appear in 1,000,000?
The comma separates groups of three digits, making the number easier to read.
causal
easy
[ "1000000:encyclopedia#neutral/plain" ]
1000000:noun:0#qa4
1000000:noun:0
1000000
1000000
noun
0
everyday_life.quantity_time
tier5
If someone wanted to express one million as a 1 followed by zeros rather than in scientific notation, what would they write?
They would write 1 followed by six zeros: 1000000.
hypothetical
medium
[ "1000000:noun:0#neutral/plain", "1000000:encyclopedia#neutral/plain" ]
1000000000:noun:0#qa0
1000000000:noun:0
1000000000
1000000000
noun
0
everyday_life.quantity_time
tier5
What quantity does 1000000000 represent?
It represents a number written as 1 followed by nine zeros, commonly called one billion.
definition
easy
[ "1000000000:noun:0#neutral/plain", "1000000000:encyclopedia#neutral/plain" ]
1000000000:noun:0#qa1
1000000000:noun:0
1000000000
1000000000
noun
0
everyday_life.quantity_time
tier5
How does the related power of two used for storage capacity differ from one billion?
The related power of two is 2³⁰, or 1,073,741,824, which is greater than one billion.
comparison
medium
[ "1000000000:encyclopedia#neutral/plain" ]
1000000000:noun:0#qa2
1000000000:noun:0
1000000000
1000000000
noun
0
everyday_life.quantity_time
tier5
How can the decimal numeral be grouped to make it easier to read?
Separate it into groups of three digits: 1 | 000 | 000 | 000.
procedural
easy
[ "1000000000:encyclopedia#neutral/plain" ]
1000000000:noun:0#qa3
1000000000:noun:0
1000000000
1000000000
noun
0
everyday_life.quantity_time
tier5
Why is one billion also used informally to suggest an enormous amount?
Because it is large but still familiar.
causal
medium
[ "1000000000:encyclopedia#neutral/plain" ]
1000000000000:noun:0#qa0
1000000000000:noun:0
1000000000000
1000000000000
noun
0
everyday_life.quantity_time
tier5
What does 1000000000000 represent as a number?
It is the number written as a one followed by twelve zeros.
definition
easy
[ "1000000000000:noun:0#neutral/plain" ]
1000000000000:noun:0#qa1
1000000000000:noun:0
1000000000000
1000000000000
noun
0
everyday_life.quantity_time
tier5
Why is 1000000000000 divisible by powers of both 2 and 5?
Its prime factorization is 2¹² × 5¹², so it contains both 2 and 5 as prime factors raised to powers.
reasoning
hard
[ "1000000000000:encyclopedia#neutral/plain" ]
1000000000000:noun:0#qa2
1000000000000:noun:0
1000000000000
1000000000000
noun
0
everyday_life.quantity_time
tier5
How does the usual modern English meaning of “trillion” differ from its traditional long-scale meaning?
In modern American and most international English, a trillion means 10¹², or 1000000000000. In the traditional English long scale, a trillion denoted 1000000000000000000000000.
comparison
medium
[ "1000000000000:noun:0#ex4", "1000000000000:encyclopedia#neutral/plain" ]
1000000000000:noun:0#qa3
1000000000000:noun:0
1000000000000
1000000000000
noun
0
everyday_life.quantity_time
tier5
How can 1000000000000 be written to make its digits easier to keep track of?
It can be written with commas, spaces, or scientific notation.
procedural
easy
[ "1000000000000:encyclopedia#neutral/plain" ]
1000000000000:noun:0#qa4
1000000000000:noun:0
1000000000000
1000000000000
noun
0
everyday_life.quantity_time
tier5
Why might a technical writer specify the power of ten when using the word “trillion”?
Older British usage and some other languages have used a long scale in which “trillion” can mean 10¹⁸, rather than the short-scale 10¹², so specifying the power helps make the intended value precise.
causal
medium
[ "1000000000000:encyclopedia#neutral/plain" ]
1000th:adjective:0#qa0
1000th:adjective:0
1000th
1000th
adjective
0
mathematics.arithmetic
tier5
What happened just before sunset?
The 1000th runner crossed the finish line just before sunset.
factual
easy
[ "1000th:adjective:0#ex4" ]
1000th:adjective:0#qa1
1000th:adjective:0
1000th
1000th
adjective
0
mathematics.arithmetic
tier5
What does “1000th” mean when it describes a position?
It identifies the position of one item in a counting order: the position of one thousand.
definition
medium
[ "1000th:adjective:0#neutral/plain", "1000th:encyclopedia#neutral/plain" ]
1000th:adjective:0#qa2
1000th:adjective:0
1000th
1000th
adjective
0
mathematics.arithmetic
tier5
If a series includes a 999th and a 1001st position, what position falls between them?
The 1000th position falls between them, since it comes after 999th and before 1001st.
reasoning
hard
[ "1000th:encyclopedia#neutral/plain" ]
End of preview. Expand in Data Studio

OpenGloss v2.4 — QA Pairs

Question/answer pairs written per sense and answerable only from that sense's own stored text — its gloss, its examples, its entry's encyclopedia article and etymology — with every source labelled by an id the answer has to cite. Uncited, mis-cited, ungrounded and duplicate pairs were dropped before storage. Seven question types at mixed difficulty; grounded_in holds the rendition ids, so a consumer can rebuild the (context, question, answer) triple by joining back to opengloss-v2.4-definitions, -examples or -encyclopedia.

Part of the OpenGloss v2.4 release family — 16 datasets built from one store of 160,724 lexemes and 300,787 live senses, all joinable on derived ids. See Related datasets for the rest.

What's new in v2.4 vs v1.3

  1. Schema v3. Every lexeme carries a kind discriminator (simplex, compound, phrasal verb, idiom, proper noun, abbreviation, affix, function word); every sense carries a controlled domain leaf from a fixed ~160-leaf taxonomy instead of free text; every example carries the character span of the headword occurrence inside it.
  2. Renditions, not one string. A definition is a set: the canonical one plus rewrites at four reading levels and in four registers, each produced in a single call from the canonical text so they say the same thing at different altitudes.
  3. A sense graph, not a word graph. Typed relations resolve to sense ids wherever the target's entry exists in the release, so bank --hypernym--> financial institution points at a meaning rather than at a string.
  4. Retrieval data is first-class. Synthetic per-sense queries in eight styles, grounded QA pairs, mined word-in-context pairs, MS MARCO-style triples with graph-derived hard negatives, and graded TREC qrels — all derivable from, and consistent with, the same entries.
  5. Derivable identifiers everywhere. v1.3 published a positional id for lexemes and senses (3d_model_noun_0) and nothing below that. v2.4 gives every rendition, edge, query, QA pair and provenance record an id computable from the row alone, and never renumbers: a retired sense is tombstoned, so the ids after it keep their meaning.
  6. Per-field provenance. Which model wrote a field, how many tokens it took, what it cost — published as its own dataset.

What changed since v2.3

v2.3 (2026-09-09) added tier 6, named entities. v2.4 adds no new headwords: it fills in the supervision the lower tiers never received and makes every reading level of the pretraining corpus carry text of its own.

  • Retrieval supervision for every sense. Tiers 3-6 (about two thirds of all senses) had no search queries, QA pairs, register variants or contrast paragraphs in v2.3; those existed only for core and tier 2. Every live sense now has search queries in eight styles (twelve per sense; 85% of all queries never name the headword), 99.7% have grounded QA pairs, and every tier has register variants, register-crossed examples and contrasts.
  • Verified word-in-context examples everywhere. The sense-disambiguated example stage (eight checked sentences per sense) ran only on tier 2 in v2.3; it now covers core and tiers 3-6 as well.
  • Leveled register text. Every sense gains five definitions crossing reading level and register (grade 5 informal and formal; college informal, formal and technical); every contrast paragraph gains a grade-5 and a college version; every lexical explanation gains a grade-5 and a college version.
  • A pretraining corpus with no copies. v2.3's thesaurus and usage-note documents at grade_5 and college were byte-identical to neutral (25% of all pretraining documents). A non-neutral document is now emitted only when it carries text written at its level and differs from the neutral one, and the export fails if any two documents share text. The thesaurus template gains a "Choosing between them" section of leveled contrast notes (moved from the usage note), and the usage note lists the register variants written at the document's level.
  • Graph repair. Relations were regenerated for senses that had none (senses without a relation fell from 4,722 to about 1,600), re-resolved, re-judged, and hypernym cycles broken back to zero.
  • Writer. New v2.4 text was written by gpt-6-luna (low reasoning); v2.3's by gpt-5.6-luna. The provenance repo records the model of every call.
v2.3 (2026-09-09) v2.4
Lexemes 160,724 160,724
Live senses 300,787 300,787
Search queries 1,249,683 3,851,978
QA pairs 704,950 2,304,127
Definition renditions 1,919,007 4,209,494
Example renditions 2,421,809 4,939,887
Encyclopedia renditions 500,320 802,914
Lexical-explanation renditions 160,724 482,172
Contrast paragraphs (all levels) 81,046 812,184
Unique source-text tokens (16K student tokenizer) 697,553,973 1,461,832,309
Pretraining documents 1,560,030 1,910,373
Pretraining words 418,161,358 483,649,976
Pretraining tokens (cl100k_base) 594,154,612 676,733,509
Exact-duplicate pretraining documents 25.0% 0 (the export fails on any duplicate)
Judge score, Opus, 40-entry samples 70.2 (core + tier 2), 66.7 (tier 3), 67.0 (tier 4), 81.3 (tier 5), 73.0 (tier 6) 64.8 (core), 69.9 (tier 2), 65.8 (tier 3), 68.1 (tier 4), 79.6 (tier 5), 71.3 (tier 6)

Schema. No column was removed or retyped. pretrain gains sections_at_level; level_used gains the value mixed (some leveled sections fell back to neutral text); non-neutral pretraining documents with no text of their own at their level are no longer emitted, and retired lexemes (no live sense) emit no pretraining document. contrasts now carries grade_5 and college rows beside neutral.

Known issues. Leveled informal definitions open with "It's a / It's the / It's when" about 18% of the time. About 1.1% of QA answers are exact duplicates of another QA answer (mostly short answers). Listwise qrels lists that contain all four grades fell as a share, because tier 3-6 senses joined with fewer grade-2 neighbours.

What changed since v2.2

v2.2 (2026-09-07) added tier 5, the WordNet 3.0 gap. v2.3 adds tier 6: named entities. Every tier before it was selected by word frequency or by WordNet membership, and neither signal ranks a name — a name's importance is a fact about the world, not about a corpus — so v2.2 knew Washington and Lincoln but not George Washington, New York City or World War II. Tier 6 is 15,000 candidates ranked by Wikipedia vital-article level, Wikidata sitelink count, WordNet instance membership and US salience, of which 12,078 became entries. Three schema changes come with it:

  • Entity types are written rather than defaulted. Every proper noun in v2.2 carried entity_type = other, because the two migrations and the kind classifier all wrote that placeholder and nothing ever replaced it. 28,915 proper nouns now carry a real type — person, place, organization, work, event, product, species — taken from the candidate list where it knew one and bought as a single batched verdict where it did not. lexicon and senses gain an entity_type column, and lexicon gains wikidata_qid, the join key for reconciling an entry against Wikidata.
  • Aliases. A name has variants — Lincoln for Abraham Lincoln, the Netherlands for Netherlands, FDR, NASA — and v2.2 had nowhere to put them. A variant that has an entry of its own is now an alias_of edge in opengloss-v2.4-relations (1,267 of them, written by a judged alias pass). The schema also reserves a lexicon.aliases column and alias rows in opengloss-v2.4-inflections for variants with no entry of their own, but no pass populates them yet: aliases is empty on every v2.4 row. An alias_of edge is never demoted, pruned, capped or re-judged by the hygiene passes, unlike every other relation type.
  • Two new domain leaves. nature.settlements (cities, towns, villages, neighbourhoods) and law_government.polities (countries, states, provinces, empires, historical polities). A quarter of tier 6 is a settlement or a polity and the taxonomy had no leaf for either; adding a geography root would have been a breaking change to a fixed 15-root vocabulary, so both went under roots that already exist.
v2.2 (2026-09-07) v2.3
Lexemes 148,292 160,724
Live senses 288,304 300,787
Tier 6 lexemes (named entities) 0 12,078
Pretraining documents 1,458,684 1,560,030
Pretraining words 398,029,628 418,161,358
Pretraining tokens (cl100k_base) 565,384,746 594,154,612
Judge score, Opus, 40-entry samples 70.2 (core + tier 2), 66.7 (tier 3), 67.0 (tier 4), 81.3 (tier 5) 70.2 (core + tier 2), 66.7 (tier 3), 67.0 (tier 4), 81.3 (tier 5), 73.0 (tier 6)

Schema. No column was removed or retyped. lexicon gains entity_type, wikidata_qid and aliases; senses gains entity_type; relations gains the alias_of type; inflections gains the alias relation; tier gains the value tier6; and the domain taxonomy gains two leaves (taxonomy version 3).

What changed since v2.1

v2.1 (2026-09-07) added tier 4 and the inflections repo. v2.2 adds tier 5: 43,652 WordNet 3.0 candidate lemmas the earlier tiers lacked — common compounds and technical nouns, adjectives, adverbs and verbs, instances/taxa/organisms excluded — 38,526 of them imported outright, the rest matched against v1.3's own files. The other three changes are about honesty rather than coverage:

  • The lemma fold. lexeme-hygiene (D-79) folded 4,377 inflected-form headwords onto the lemma that already carried their meaning ("databases" onto "database", through the store's own recorded morphology) and retired 172 multiword fragments that began or ended on a function word ("is not", "on top of"). Together with D-76's phantom part-of-speech retirements, 4,549 lexemes store-wide now have every sense tombstoned. A lexeme like that is not counted as a lexeme anywhere in this card or in Stats any more — it has no live sense, so it is not a lexeme by this release's own count — but it is not gone: its surface form still resolves through opengloss-v2.2-inflections, and its lexicon row carries retired = true with a retired_reason explaining why.
  • Provenance on inherited fields. Every field a migration or import wrote, not only what a model wrote from scratch, now carries a migrate-stage provenance record naming where it came from, so "where did this text come from" is answerable by grep rather than by trusting the pipeline that happened to run.
  • A source column on lexicon and senses: opengloss-v1.3 for content this project generated or migrated from its own legacy releases, wordnet-3.0 for the tier-5 entries imported directly from Princeton WordNet 3.0.
v2.1 (2026-09-07) v2.2
Lexemes 109,633 160,724
Live senses 250,003 300,787
Tier 5 lexemes (WordNet gap) 0 43,227
Retired lexemes (every sense tombstoned) 0 4,567
Pretraining documents 1,111,044 1,458,684
Pretraining words 331,888,239 398,029,628
Pretraining tokens (cl100k_base) 471,451,693 565,384,746
Judge score, Opus, 40-entry samples 70.2 (core + tier 2), 66.7 (tier 3), 67.0 (tier 4) 70.2 (core + tier 2), 66.7 (tier 3), 67.0 (tier 4), 81.3 (tier 5)

Schema. No column was removed or retyped. lexicon gains source, retired and retired_reason; senses gains source; tier gains the value tier5.

What changed since v2.0

v2.0 (2026-09-05) covered the frequency-ranked single words. v2.4 adds tier 4: the function words the core ranking had excluded on purpose, and every remaining v1.3 entry at Wikipedia frequency ≥ 10 — mostly multiword compounds ("natural selection", "catalog number"), plus names and rarer single words. That doubles the lexeme count and changes the mix: v2.0 was 99.8% single words; a third of v2.4 is multiword.

v2.0 (2026-09-05) v2.1 (2026-09-07)
Lexemes 54,724 109,633
Live senses 137,314 250,003
Multiword entries (compounds, phrasal verbs, idioms) 86 36,366
Proper nouns 10,365 17,073
Function words 114 462
Gloss renditions 1,129,975 1,684,865
Example sentences 1,398,297 2,163,329
Live relations 735,318 1,574,438
Synthetic queries 1,330,311 1,304,650
QA pairs 750,348 736,010
Pretraining documents 617,175 1,111,044
Pretraining words 196,390,946 331,888,239
Pretraining tokens (cl100k_base) 275,659,096 471,451,693
Judge score, Opus, 40-entry samples 70.2 (core + tier 2), 66.7 (tier 3) 70.2 (core + tier 2), 66.7 (tier 3), 67.0 (tier 4)

Schema. No column was added, removed or retyped in any existing dataset. Three things did change:

  • tier gains the value tier4 (it was core, tier2 or tier3).
  • One new dataset, opengloss-v2.4-inflections: a flat surface-form → lemma lookup (plural, past tense, participles, comparative, superlative, derivations) built from the morphology that the lexicon already carried nested.
  • New provenance note prefixes on tombstones and edges, all reversible and all counted in the store audit: phantom_pos: (a v1.3 part-of-speech block whose glosses defined a component word rather than the compound — 11,440 blocks retired), regen: (relations regenerated for senses that had lost every edge to judging), and retyped: contrast (synonym edges the contrast paragraphs showed to be hypernym or hyponym).

Not row-compatible with v2.0. Lexeme, sense, rendition, edge, query and QA ids are stable for every entry v2.0 had. The derived training sets (retrieval-pairs, retrieval-triples, qrels) re-sample negatives over the larger pool, so their rows differ; and the store-wide quality passes run for v2.4 retired ~3,000 senses of the v2.0 entries (phantom part-of-speech blocks and near-duplicate senses), so those senses are now tombstoned rather than live. Treat v2.4 as a new release, not a delta.

Scope: fewer headwords, far more per headword

v2.4 is not a superset of v1.3. It covers 160,724 of v1.3's 205,988 lexemes — every frequency-ranked single word, plus the compounds and names at Wikipedia frequency ≥ 10 — and spends the difference on depth. If you need breadth of vocabulary, use v1.3; if you need graded renditions, resolved relations, spans, or retrieval supervision, use v2.4.

v1.3 v2.4
Lexemes 205,988 160,724
Senses 565,604 300,787
Definition renditions per sense 1 canonical 1 canonical + up to 8 graded
Relation targets bare strings resolved to sense ids
Retrieval training data companion sets queries, QA, triples, qrels
Per-field provenance no model, tokens and cost per call

Key statistics

Lexemes 160,724
Retired lexemes (every sense tombstoned; not counted above) 4,567
Live senses 300,787
Rows in this dataset 2,304,127
Pairs 2,304,127
Pairs per sense (mean) 7.7
Question types 7

By tier

  • core — top 10K by composite frequency
  • tier2 — ranks to ~42K
  • tier3 — the rest of the frequency-ranked single words
  • tier4 — stopwords, plus compounds and names at Wikipedia frequency ≥ 10
  • tier5 — the WordNet 3.0 lemmas the earlier tiers lacked: common compounds and technical nouns, adjectives, adverbs and verbs (instances, taxa and organisms excluded); 5,126 from v1.3 files, the rest imported from WordNet
  • tier6 — named entities — people, places, organizations, works and events ranked by Wikipedia vital-article level, Wikidata sitelinks, WordNet instance membership and US salience, which no frequency list ranks
Tier Lexemes Live senses
core 9,427 32,193
tier2 30,346 71,957
tier3 11,452 23,511
tier4 53,841 113,873
tier5 43,227 46,755
tier6 12,078 12,145
unknown 353 353

Coverage by tier

The release was built in 6 frequency-ranked passes (core, tier2, tier3, tier4, tier5 and tier6) and they did not all receive the same stages. This table is per-field and per-tier so the gaps are visible rather than averaged away.

Field Of core tier2 tier3 tier4 tier5 tier6 unknown
Canonical gloss sense 100.0% 100.0% 100.0% 100.0% 100.0% 100.0% 100.0%
Controlled domain tag sense 100.0% 100.0% 100.0% 100.0% 100.0% 100.0% 100.0%
Gloss at 4 reading levels sense 100.0% 99.9% 99.9% 100.0% 99.9% 100.0% 0.0%
Gloss in 4 registers sense 100.0% 100.0% 100.0% 100.0% 100.0% 100.0% 100.0%
At least one example sense 100.0% 99.9% 100.0% 99.6% 100.0% 100.0% 100.0%
Examples at 4 reading levels sense 99.6% 99.6% 99.9% 98.4% 99.9% 100.0% 60.6%
At least one relation sense 99.4% 99.4% 99.4% 99.5% 99.3% 99.9% 100.0%
Synthetic retrieval queries sense 100.0% 100.0% 100.0% 100.0% 100.0% 100.0% 100.0%
Grounded QA pairs sense 99.9% 99.7% 99.3% 99.6% 99.9% 100.0% 100.0%
Etymology lexeme 100.0% 100.0% 99.8% 100.0% 100.0% 100.0% 100.0%
Lexical explanation lexeme 100.0% 100.0% 100.0% 100.0% 100.0% 100.0% 100.0%
Encyclopedia (neutral) lexeme 100.0% 100.0% 100.0% 100.0% 100.0% 100.0% 100.0%
Encyclopedia at grade 5 + college (core entries also carry grade 1 and grade 10) lexeme 100.0% 100.0% 100.0% 100.0% 100.0% 100.0% 0.0%
Contrast paragraphs lexeme 85.2% 68.7% 58.1% 61.9% 38.8% 7.4% 9.6%

Question types

Type Pairs
procedural 334,658
causal 332,777
comparison 331,955
definition 328,489
factual 327,984
hypothetical 325,706
reasoning 322,558

Difficulty

Difficulty Pairs
medium 1,031,045
easy 885,633
hard 387,449

Files

Files Config Rows Shards Size
data/train-*.parquet default 2,304,127 5 190.3 MB

Fields

2,304,127 rows, one row per question/answer pair.

Field Type Description
qa_id string Derived, positional, zero-based: {sense_id}#qa{n}.
sense_id string Sense id: {lexeme_id}:{pos}:{index}. Join key.
lexeme_id string Owning entry id: slugify(headword). Join key.
headword string The owning entry's surface headword.
pos string Part of speech of the owning POS entry (noun, verb, …).
sense_index int32 Zero-based position of the sense within its POS entry.
domain string Controlled domain leaf, root.leaf (nullable).
tier string core (top 10K by composite frequency), tier2 (ranks to ~42K), tier3 (the rest of the frequency-ranked single words), tier4 (stopwords, plus compounds and names at Wikipedia frequency ≥ 10), tier5 (the WordNet 3.0 gap the earlier tiers lacked), tier6 (named entities — people, places, organizations, works and events, ranked by importance rather than by frequency) or unknown (on none of the rank lists); an export may contain only some of these — see the coverage table.
question string The question, 1–500 characters.
answer string The answer, 1–2000 characters.
question_type string factual, definition, reasoning, comparison, procedural, causal or hypothetical.
difficulty string easy, medium or hard.
grounded_in list<string> Rendition ids the answer is supported by, e.g. projection:noun:1#neutral/plain, projection:noun:1#ex3, projection:encyclopedia#neutral/plain, projection:etymology.

One real row:

{
  "qa_id": "0:noun:0#qa0",
  "sense_id": "0:noun:0",
  "lexeme_id": "0",
  "headword": "0",
  "pos": "noun",
  "sense_index": 0,
  "domain": "everyday_life.quantity_time",
  "tier": "tier5",
  "question": "What number leaves another number unchanged when added to it?",
  "answer": "Zero leaves another number unchanged when it is added to it.",
  "question_type": "factual",
  "difficulty": "easy",
  "grounded_in": [
    "0:encyclopedia#neutral/plain"
  ]
}

Loading it

from datasets import load_dataset

ds = load_dataset("mjbommar/opengloss-v2.4-qa-pairs", split="train")
print(ds)
print(ds[0])

The shards are plain parquet, so nothing forces you through datasets — read them straight, locally or over hf://:

import polars as pl

df = pl.read_parquet("hf://datasets/mjbommar/opengloss-v2.4-qa-pairs/data/train-*.parquet")
print(df.head())
import duckdb

duckdb.sql("SELECT count(*) FROM 'hf://datasets/mjbommar/opengloss-v2.4-qa-pairs/data/train-*.parquet'").show()

A closed-book QA set with its own context

from datasets import load_dataset

qa = load_dataset("mjbommar/opengloss-v2.4-qa-pairs", split="train")
hard = qa.filter(lambda row: row["difficulty"] == "hard" and row["question_type"] == "reasoning")
row = hard[0]
print(row["question"])
print("->", row["answer"])
print("cites:", row["grounded_in"])

Identifiers, and how they compose

Every id is derived from structure, never randomly minted, so a consumer can recompute one from a row and join across the whole family without a lookup table. Sense positions are stable across regenerations: a retired sense is tombstoned, not removed, so the indices after it never shift.

Id Shape Example
Lexeme slugify(headword) abseil
Sense {lexeme_id}:{pos}:{index} (zero-based) abseil:verb:0
Rendition {owner_id}#{reading_level}/{register} abseil:verb:0#grade_5/plain
Entry-level owner {lexeme_id}:encyclopedia / :explanation abseil:encyclopedia
Edge {source_sense_id}-{type}->{target_lexeme_id} abseil:verb:0-synonym->rappel
Query {sense_id}#q{n} (zero-based) abseil:verb:0#q3
QA pair {sense_id}#qa{n} (zero-based) abseil:verb:0#qa3
Provenance record p{n} within its entry (one-based) p12

An edge id keys on the target's slug, not on the target's sense, so resolving a target never changes the id of the edge that found it.

Reading levels and registers

A rendition is keyed on a (reading_level, register) pair. The canonical rendition of every field is (neutral, plain); everything else is a rewrite of it.

reading_level Who it is written for Rough CCSS band
neutral The canonical text: an adult general reader, no level targeted —
grade_1 Beginning readers; short sentences, common words K–1
grade_5 Upper elementary 4–5
grade_10 Secondary 9–10
college Undergraduate and above; technical vocabulary allowed 11–CCR
register What changes Reading it
plain Nothing — the neutral register The default
informal Conversational, contractions, everyday words How you'd say it to a friend
formal Full forms, precise hedging, no contractions How you'd write it in a report
technical Domain vocabulary, exact conditions How a specialist would state it
marketing Benefit-first, persuasive framing A genre, not a formality level

marketing sits on the register axis for convenience but is a genre value rather than a point on the formality scale — worth remembering if you train a formality classifier on this column.

Related datasets

Everything below is built from the same store and joins on lexeme_id / sense_id.

Dataset Grain What it holds
opengloss-v2.4-lexicon one row per lexeme One row per lexeme: kind, morphology, etymology, encyclopedia, contrasts, sense ids, provenance summary.
opengloss-v2.4-senses one row per live sense One row per live sense: canonical gloss, 8 gloss renditions, examples, resolved relations, synthetic queries, grounded QA pairs.
opengloss-v2.4-definitions one row per gloss rendition One row per gloss rendition (canonical included): reading level, register, text, readability grade.
opengloss-v2.4-examples one row per example rendition One row per example sentence with the headword's character span, its reading level and register.
opengloss-v2.4-encyclopedia one row per encyclopedia rendition · one row per lexical-explanation rendition One row per encyclopedia article rendition, plus an explanation config for the "why this word" prose.
opengloss-v2.4-etymology one row per entry with an etymology One row per entry with an etymology: prose summary, ordered language trail, cognates, references.
opengloss-v2.4-inflections one row per inflected, derived or lemma form One row per inflected or derived form, plus the lemma itself: a flat form→lemma lookup.
opengloss-v2.4-relations one row per live relation edge · one row per removed relation edge One row per semantic edge, resolved to target sense ids; a tombstoned config recovers the edges the reconcile pass removed.
opengloss-v2.4-queries one row per synthetic query One row per synthetic retrieval query, across eight query styles, tagged to the sense it should retrieve.
opengloss-v2.4-qa-pairs (this one) one row per question/answer pair One row per grounded question/answer pair, with the rendition ids the answer cites.
opengloss-v2.4-contrasts one row per contrast paragraph One row per "X vs Y" paragraph on a synonym/antonym/confusable edge, with a verdict on the edge.
opengloss-v2.4-provenance one row per provenance record One row per recorded generation call: stage, model, tokens, cost, run id — the audit trail.
opengloss-v2.4-retrieval-pairs one row per mined pair Word-in-context and doc2query-shaped (text_a, text_b, label) pairs mined from the store for free.
opengloss-v2.4-retrieval-triples one row per (query, positive, negative) triple MS MARCO-style (query, positive, negative) triples whose hard negatives come from the graph.
opengloss-v2.4-qrels one row per query, with its whole graded candidate list · one row per document in the retrieval corpus Graded TREC relevance judgements (0–3) plus the document corpus and listwise candidate lists.
opengloss-v2.4-pretrain one row per rendered document Entries serialised into plain-prose dictionary, thesaurus, encyclopedia and usage-note documents.

Known limitations

  • It is synthetic. Every string here was written by a language model against a schema, not transcribed from a corpus or checked by a lexicographer. It is well-formed and internally consistent; it is not attested usage, and it will contain confident errors. Do not use it as ground truth about what a word means.
  • Judge scores 70.2/100 (core + tier 2) and 66.7/100 (tier 3). A different model family (Claude Opus) scored fixed 40-entry stratified samples at the close of each build. Sample statistics, not per-entry guarantees, and the judge is itself a model.
  • Relation precision is the weakest axis. Relations were judged for validity and the ones that failed were demoted rather than asserted; symmetric reciprocity finished at 94.2% for synonyms and 94.3% for antonyms, and 4,722 senses were left with no relation at all. Treat a single edge as a hypothesis, not a fact; treat the aggregate graph as usable.
  • core, tier2, tier3, tier4, tier5 and tier6 are deliberately partial. 160,371 lexemes across core, tier2, tier3, tier4, tier5 and tier6 received the text stages (glosses, examples, encyclopedia) but not the queries, QA pairs, contrasts or register renditions. The coverage table above gives the exact per-field share; nothing is hidden behind an average.
  • The encyclopedia is entry-level. One article per headword, about the headword as a whole. On a polysemous entry it is not a description of any one sense, and it is never used as a positive for one (D-71). It is entry-level reference prose, not a specialist article.
  • This repo excludes core, tier2, tier3, tier4, tier5 and tier6. Those tiers never ran this stage, so its senses are absent here entirely rather than present-and-empty. Join against opengloss-v2.4-senses if you need to know which senses have nothing.

Sources and licences

This release is Creative Commons Attribution 4.0 International (CC-BY 4.0). Of 160,724 lexemes in this release, 40,643 (the tier-5 entries whose source column reads wordnet-3.0) are derived from Princeton WordNet 3.0: their glosses, examples, relations and derivationally related forms, plus WordNet's own capitalisation of the headword (D-78).

The WordNet License permits use, copying, modification and distribution without fee, provided its notice is preserved:

The WordNet License notice is quoted in full on the opengloss-v2.4-lexicon and opengloss-v2.4-senses cards; this repo's WordNet-derived rows are governed by the same terms.

Citation

@misc{bommarito2025opengloss,
  title  = {OpenGloss: A Synthetic Encyclopedic Dictionary and Semantic Knowledge Graph},
  author = {Bommarito, Michael J., II},
  year   = {2025},
  eprint = {2511.18622},
  archivePrefix = {arXiv},
  url    = {https://arxiv.org/abs/2511.18622}
}

Tier-5 entries additionally derive from Princeton WordNet 3.0 (D-78):

@article{miller1995wordnet,
  title   = {WordNet: A Lexical Database for English},
  author  = {Miller, George A.},
  journal = {Communications of the ACM},
  volume  = {38},
  number  = {11},
  pages   = {39--41},
  year    = {1995}
}

@book{fellbaum1998wordnet,
  title     = {WordNet: An Electronic Lexical Database},
  editor    = {Fellbaum, Christiane},
  publisher = {MIT Press},
  year      = {1998}
}

License

Released under Creative Commons Attribution 4.0 International (CC-BY 4.0). Attribution to the OpenGloss project is required; commercial use is permitted. See Sources and licences above for the Princeton WordNet License that additionally covers this release's tier-5 entries.

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