2003 AIME II problem 3 | AIME | Math for fun and glory | Khan Academy
A1 A2 B1 B2 C1 C2
anything
US / ˈeniθɪŋ /
•UK / ˈɛniˌθɪŋ /
- pronoun
- A thing of any kind
out
US / aʊt /
•UK / aʊt /
- adverb
- No longer stylish (e.g. fashion)
- Away from home, business, or the usual place
- In a direction/movement away from inside or center
- noun
- Act when a batter cannot continue playing
- verb
- To tell people a secret
over
US / 'əʊvə(r) /
•UK / ˈovɚ /
- adverb
- Finished; no longer happening
- Towards the ground/away from a standing position
- noun
- A set of six consecutive balls bowled in cricket
- other
- Finished
- preposition
- Showing the relation when a thing is above another
- On or covering something
- Above or across something
- More than you need
- From one side to the other
- In the direction of; toward
think
US / θɪŋk /
•UK / θɪŋk /
- verb
- To have an idea about something without certainty
- To have an idea, opinion or belief about something
possibility
US / ˌpɒsə'bɪlətɪ /
•UK / ˌpɑsəˈbɪlɪti /
- noun
- Something with a chance of happening or being true
only
US / ˈəunli /
•UK / ˈonli /
- adverb
- Just one; just that amount or thing; not more than
- Not very important or serious
- Just that type of thing, person
- Short time ago; not before a certain time
- conjunction
- Except; but
put
US / pʊt /
•UK / pʊt /
- phrasal verb
- to make a light stop shining by pressing or moving a switch
- verb
- To move or place a thing in a particular position
- To rate something in importance or value
- To write or say something in a certain manner
two
US / tu: /
•UK / tu /
- number
- 2
another
US / əˈnʌðə(r) /
•UK / əˈnʌðɚ /
- adjecitve
- One more, but not this
- determiner
- One more added
- pronoun
- One more (thing)
and
US / ənd /
•UK / ənd, ən,ænd /
- conjunction
- Used to refer to two or more things
- Plus; in addition; on top of that
- Used to introduce an action that follows another
where
US / hwɛə /
•UK / hwɛr, wɛr /
- conjunction
- At or in the place which
- In whatever place
- pronoun
- Word you use to ask the location of something
same
US / seɪm /
•UK / sem /
- adjecitve
- Being equal in quality and amount
- Identical; not different
- Not changing; constant
can
US / kæn /
•UK / kən,kæn /
- noun
- A metal container for storing food
- other
- Able to; have the skill to; have the time to
- verb
- To have permission to
- To be possible to do
- To preserve food by sealing it in a metal container
but
US / bət /
•UK / bʌt,bət /
- conjunction
- Used before you say something different, opposite
good
US / ɡʊd /
•UK / ɡʊd /
- adjecitve
- Proper, appropriate or right
- (Of an amount) enough; plenty
- Excellent; high quality
- Acting well or properly; of moral character
- In a positive or happy emotional state
- noun
- Advantage or benefit
not
US / nɒt /
•UK / nɑt /
- adverb
- Word indicating the negative
- (Used to form the negative of verbs)
equal
US / 'i:kwəl /
•UK / ˈikwəl /
- adjecitve
- Same in shape, size, or number
- verb
- To add up or be the same as
now
US / naʊ /
•UK / naʊ /
- adverb
- At the present time or moment
- Right away or in the next possible moment
- Used to refer to something that just happened
- Time between the present and a moment in the past
- conjunction
- Resulting from or because of something
seven
US / ˈsevn /
•UK / ˈsɛvən /
- number
- Number 7
about
US / ə'baʊt /
•UK / əˈbaʊt /
- adverb
- To be ready to; going to
- Nearly; approximately; roughly
- Near; next to; close to
- In every direction; in the area of
- preposition
- Concerning or of (a topic)
constraint
US / kənˈstreɪnt /
•UK / kənˈstrent /
- noun
- Thing preventing you moving or acting; restriction
that
US / ðæt /
•UK / ðæt, ðət /
- adjecitve
- The person or thing being talked about
- Used to identify something both the speakers know
- adverb
- Used to reinforce adjectives and adverbs
- To such a degree
- conjunction
- Used to connect a noun clause
- Used to introduce an adverbial clause
- Used to introduce a noun clause
- determiner
- Used as a noun to refer to something
- pronoun
- Referring an object far away
- Used to refer to the relative pronoun ‘which’
what
US / wɒt /
•UK / hwɑt, hwʌt, wɔt, wʌt,hwət, wət /
- pronoun
- Thing or things that; the same kind as
- Used to emphasize something you are about to say
- adjecitve
- Used to refer to a particular amount, or number
- Used to place emphasis on a particular quality
- adverb
- To a certain degree
- determiner
- Question words used for asking for information
- exclamation
- Used to express excitement, shock, or surprise
- Used to ask people to repeat something they said
first
US / fɜ:st /
•UK / fɚst /
- adjecitve
- 1st; Coming before all others in time or place
- noun
- Something that has not happened before
- Position of the winner of a competition
second
US / 'sekənd /
•UK / ˈsɛkənd /
- adjecitve
- 2nd; the one following first
- noun
- Unit of time; one sixtieth of a minute
- Short period of time that you wait for someone
- (Do) soon
- verb
- To agree to support a proposal at a meeting
mean
US / mi:n /
•UK / min /
- adjecitve
- Being good at
- Nasty; unkind
- Not liking to spend money; cheap; stingy
- noun
- Average of a set of numbers
- verb
- To express a particular idea or thought
- To intend to do something in particular
- To have a particular meaning or value
total
US / ˈtəʊtl /
•UK / ˈtoʊtl /
- adjecitve
- Complete
- noun
- Whole number or amount of something
- verb
- To damage a car beyond repair
then
US / ðen /
•UK / ðɛn /
- adverb
- A time that is not now
- Following another thing in time or arrangement
- Following on reasonably from what was just stated
- At that time, not now
place
US / pleɪs /
•UK / ples /
- noun
- Particular location, area or region
- verb
- To put someone in a particular type of situation
- To put something in a certain location or position
sequence
US / 'si:kwəns /
•UK / ˈsikwəns, -ˌkwɛns /
- noun
- Part of a movie showing one part of the story
- verb
- To arrange things in an order they should happen
all
US / ɔ:l /
•UK / ɔl /
- adverb
- Completely; totally
- determiner
- Being every one of something
- pronoun
- 100% of something; the complete amount
bit
US / bɪt /
•UK / bɪt /
- noun
- Device put in a horse's mouth to control it
- Small piece of something
- verb
- (E.g. of fish) to take bait and be caught
way
US / weɪ /
•UK / we /
- adverb
- Used to emphasize the amount of something
- noun
- Particular aspect of something being thought about
- One of various choices that could be made
- Particular existing condition or state
- (Often long) distance or length of time
- How something is done
- Route to go to a place
- Small street
- Usual behavior, emotions or habits of someone
possible
US / ˈpɒsəbl /
•UK / ˈpɑsəbəl /
- adjecitve
- Being able or appropriate for a task or purpose
- Having a chance of happening, or being true
have
US / həv /
•UK / hæv /
- verb
- To drink, smoke, eat or use something
- To experience the effects of something
- To organize an event, or join in an activity
- To own, possess, or hold something
- To cause to happen or produce a particular effect
six
US / sɪks /
•UK / sɪks /
- number
- 6
with
US / wɪð /
•UK / wɪð, wɪθ /
- preposition
- As an employee of a certain company
- Against something or someone
- By using something as a means
- Due to; because of
- Including
- Possessing as a feature
- Related to
- (Of the manner/attitude by which you do something)
- Used to express that people or things are together
could
US / kəd /
•UK / kʊd /
- other
- Past form of 'can' to mean have ability
- Used to ask for something politely, or to offer
follow
US / ˈfɔləu /
•UK / ˈfɑlo /
- verb
- To come after someone; be guided by someone
- To support someone, e.g. singer or comedian
- To be the logical result of something
- To happen after something else happens
- To believe a set of values or a moral teacher
- To understand something happening or being said
little
US / 'lɪtl /
•UK / ˈlɪtl /
- adjecitve
- Being short in length of time
- Not great in size, amount, or degree; small
- Being very young or younger than others
- adverb
- By an amount or degree that is not very much
- Not often; rarely
- noun
- A person's name
let
US / let /
•UK / lɛt /
- verb
- To allow someone to do something
- Introducing a suggestion to do something together
- To rent a house, etc. to others
might
US / maɪt /
•UK / maɪt /
- other
- Used to politely request an action
- Used to express that something could happen
- Power, strength, force or influence
the
US / ðə /
•UK / ðə /
- article
- Used to refer to something already mentioned
- Used to show there is only one of something
- determiner
- Used to describe all of a family
three
US / θri: /
•UK / θri /
- number
- Number 3
consist
US / kən'sɪst /
•UK / kənˈsɪst /
- verb
- To have as an essential, necessary or main part
may
US / meɪ /
•UK / me /
- noun
- 5th month of the year
- other
- Used to express a desire
- Expresses permission, possibility or probability
- Used to show that a thing could be true
this
US / ðɪs /
•UK / ðɪs /
- adjecitve
- Used to indicate something already been discussed
- Used to indicate something happening around now
- adverb
- An indication by a physical motion or gesture
- A specific amount of
- determiner
- Person, thing, or idea near you
- pronoun
- Person, thing that has already been discussed
word
US / wɜ:d /
•UK / wɚd /
- noun
- Unit of language that has a meaning
- Promise
- Short remark or piece of information
- verb
- To express something by choosing particular words
how
US / haʊ /
•UK / haʊ /
- adjecitve
- To what degree? in what amount?
- adverb
- (Used to explain the way to do something)
- exclamation
- For what purpose or reason?
- (Used to ask someone or something's condition)
sixth
US / sɪksθ /
•UK / sɪksθ /
- noun
- 6th
power
US / 'paʊə(r) /
•UK / ˈpaʊɚ /
- noun
- Legal or official right to perform certain actions
- Ability to move forcefully and quickly
- Energy of something (e.g. electricity or fuel)
- Mathematical way to multiply a number
- Condition of being in political control
- Physical force, energy, and strength
- verb
- To give energy to something, e.g. by electricity
- To move something forcefully and quickly
one
US / wʌn /
•UK / wʌn /
- pronoun
- You; we; people in general; someone
- The thing or person previously referred to
- adjecitve
- Used to refer to people generally
- Being a strong example of (something mentioned)
- number
- Number 1
plus
US / plʌs /
•UK / plʌs /
- noun
- A benefit or advantage
- preposition
- In addition; add
- In addition to; Indicates a number above
- Having a value greater than zero
immediately
US / ɪˈmi:diətli /
•UK / ɪˈmidiɪtli /
- adverb
- Without any delay; straight away
use
US / ju:s /
•UK / ju:s /
- noun
- Ability to employ something
- Need to enable it to work
- Permission to do something with something
- Act of spending money
- Operation of a machine for its function
- verb
- To have; to eat, drink, consume etc.
- To need to operate or work
- To operate a machine, e.g. a computer
- To treat a person badly
- To do something with, for a task or purpose
stick
US / stɪk /
•UK / stɪk /
- noun
- Long thin piece of wood from a tree
- verb
- To push a sharp or pointed object into something
- To join together using glue or paste
- To remain in one place or position for a long time
matter
US / 'mætə(r) /
•UK / ˈmætɚ /
- noun
- Material all things are made of that fills space
- Problem or reason for concern
- verb
- To be of great importance; to count
here
US / hɪə(r) /
•UK / hɪr /
- adverb
- In this place; at this location, position or time
appear
US / ə'pɪə(r) /
•UK / əˈpɪr /
- verb
- To be seen, become visible; come into sight
- To seem to be
- To act in a play, movie, or be mentioned in media
many
US / 'menɪ /
•UK / ˈmɛni /
- determiner
- Used to refer a large number of things
for
US / fə(r) /
•UK / fɔr,fə /
- preposition
- Used to show the purpose, or need of something
logic
US / ˈlɒdʒɪk /
•UK / ˈlɑ:dʒɪk /
- noun
- Proper, valid sensible reasoning
- Scientific study of reasoning
time
US / taɪm /
•UK / taɪm /
- noun
- Speed at which music is played; tempo
- Point as shown on a clock, e.g. 3 p.m
- Number of hours, minutes needed to do something
- Occasion when something happens
- Period or occasion that something occurred
- Period in history or the past
- Something measured in minutes, hours, days, etc.
- How long an event takes; duration
- verb
- To check speed at which music is performed
- To choose a specific moment to do something
- To measure how long an event takes, e.g. a race
- To schedule something to occur at a specific moment
never
US / 'nevə(r) /
•UK / ˈnɛvɚ /
- adverb
- Not ever; not at any time
define
US / dɪ'faɪn /
•UK / dɪˈfaɪn /
- verb
- To explain the meaning of words
- To set or mark the limits of something
since
US / sɪns /
•UK / sɪns /
- adverb
- At a point before the present time
- conjunction
- For this reason; because
- preposition
- From the time in the past that
well
US / wel /
•UK / wɛl /
- adjecitve
- Being in a fortunate, good condition or state
- Healthy and in good condition
- adverb
- In an acceptable, proper, or successful manner
- In a complete, total, or full manner
- A great and considerable degree
- In a successful way, in a good or satisfactory way
- exclamation
- Used to begin or continue a particular statement
- Used to show you want to start saying something
- Used to express that you are waiting for a reply
- You say this to change the topic of a conversation
- Used to indicate you are making a final remark
- noun
- Long deep hole in the ground to get water
- verb
- To cause your eyes to fill with tears
just
US / dʒʌst /
•UK / dʒʌst /
- adjecitve
- Proper or appropriate; as is deserved
- Doing or being what is right or fair
- Legally correct; having enough evidence
- adverb
- Almost; nearly
- Exactly at the time of
- Exactly (the same as, like)
letter
US / 'letə(r) /
•UK / ˈlɛtɚ /
- noun
- One of the 26 parts of the English alphabet
- Message you put in an envelope and send by post