Sample SAT & ACT Math Problem:
A license plate has 4 letters and 2 numbers Letters cannot be repeated but numbers can be repeated Find the probability that in a randomly selected license plate the word MATH appears.
A license plate has 4 letters and 2 numbers Letters cannot be repeated but numbers can be repeated Find the probability that in a randomly selected license plate the word MATH appears.
On Monday, Anna starts pouring water into a bucket at a rate of 4 cubic meters per second. Twenty seconds later, Bella starts pouring water into the same bucket at a rate of 5.5 cubic meters per second. How many seconds after Anna starts will the amount of water in the bucket equal or exceed[…]
In a physics problem, rate is inversely related to time for a given distance. When time is 4 hours, rate is 42 miles per hour. Find the rate when time is 6. Now, find the time when rate is 54 mph.
Two numbers sum to 18. The sum of their squares is 212. Find the smaller number.
In the year 2000, the town of Smallville had 800 residents. The town grows 4% annually. Find the population in 2005.
A town initially has a population of 5500. The town triples every 65 years. Find the population after 1000 years.
Remnant- Leftover piece/memory of something Raiment- Clothing Sonorous- Deep voice/sound Somnolent- Sleepy Vittles- Food, supplies Caisson- Chest or wagon for holding bullets, Diadem- Crown Dyad- Two opposing sides Diodes- Two terminal electrical component Exegesis- Summary/interpretation of a text Funicular- Cable car Fusillade- Round of shots or fireworks Capacious- Roomy Osculate- Kiss or to be tangent[…]
Municipal- County or Local Lattice- A wooden frame Preclude- Prevent, cut off possibilities Tyrant- Ruthless dictator Efficacious- Efficient, helpful Calamity- Disaster Revel- Partying/Enjoying Sparring- Dueling physically, or engaging in an argument Portend- Predict into the future Pontificate- Lecture in a bossy tone Proscription- Not allowed, not permitted Vagary- Unpredictable or extravagant action or notion Alderman-[…]
Truculent- Fierce, cruel, savage Extenuating- Mitigating/lessening the severity of Novice- Beginner/Apprentice Venerable- Respected because of age. Incipient- Initial stage/ coming into being Congenial- Pleasant/agreeable Ad hoc- Improvised, makeshift solution designed for a specific problem or task, non- generalizable, and which cannot be adapted to other purposes Status quo- Current situation Subjugate- Bring under control/ dominate (political[…]
Dilettante- A person who is interested in something like the arts, but does not really know a lot about it. Recidivist- A criminal who repeats the offense Robust- Strong Plight- Suffering/Bad situation Complicity- Participating in a crime Arbor- Related to the earth or trees Eulogy- Tribute (+) for someone who died Felicity- Great happiness Felicitous- Pleasing/lucky[…]