MATHS
1. A company’s profit increases by 15% the first year and then decreases by 10% the second year. If the initial profit was $200,000, what is the final profit after two years?
Answer:
Year 1: 200,000 × 1.15 = 230,000
Year 2: 230,000 × 0.90 = 207,000
Final profit: $207,000
1. Rewrite using inversion for emphasis:
“I had never seen such a beautiful place.”
Answer:
Never had I seen such a beautiful place.
1. Match the event to its correct year.
Events:
Execution of Miguel Hidalgo in Chihuahua
Beginning of the Mexican Revolution led by Francisco I. Madero
Construction period of Quinta Gameros begins
Assassination of Pancho Villa in Parral
Years:
A) 1811
B) 1907
C) 1910
D) 1923
Correct Answers:
1-A
2-C
3-B
4-D
1. Classify each book by genre:
1) Pride and Prejudice
2) The Hobbit
3) The Tell-Tale Heart
4) The Diary of Anne Frank
Genres: Fantasy, Gothic Horror, Romance, Autobiography
ANSWER: 1) Romance, 2) Fantasy, 3)Gothic Horror, 4) Autobiography
Match:
1) Marie Curie a) Theory of gravity
2) Isaac Newton b) Radioactivity
3) Charles Darwin c) Evolution by natural selection
ANSWER: 1-b, 2-a, 3-c
2. Solve the system of equations:
2x + y = 11
x − y = 1
Answer:
From second equation: x = y + 1
Substitute: 2(y + 1) + y = 11
2y + 2 + y = 11
3y = 9 → y = 3
x = 4
Solution: (4, 3)
2. Correct and justify:
“Despite he was tired, he finished the project.”
Answer:
Despite being tired, he finished the project.
(“Despite” must be followed by noun/gerund, not clause.)
2. Match the event to its correct year.
Events:
Foundation of El Paso del Norte (now Ciudad Juárez)
Establishment of Jesuit missions in the region of Chihuahua
U.S. Punitive Expedition enters Chihuahua after the Columbus raid
Expansion of railway infrastructure connecting Chihuahua to central Mexico
Years:
A) 1916
B) 1659
C) 1882
D) 1680
Correct Answers:
1-B
2-D
3-A
4-C
2. Match the artwork to its movement:
1) Water Lilies (Monet)
2) The Scream (Munch)
3) Campbell’s Soup Cans (Warhol)
Movements: Impressionism, Expressionism, Pop Art
ANSWER: 1) Impressionism, 2) Expressionism, 3) Pop Art
If Earth’s gravity increased by 50%, how would projectile motion be affected?
Answer: Objects would travel shorter distances and fall faster due to stronger downward acceleration.
3. A rectangular garden has an area of 192 m². Its length is 4 meters longer than its width. Find its dimensions.
Answer:
Let width = x
Length = x + 4
x(x + 4) = 192
x² + 4x − 192 = 0
(x + 16)(x − 12) = 0
x = 12
Length = 16
Dimensions: 12 m × 16 m
3. Transform using mixed conditional:
“She didn’t study, so she isn’t confident now.”
Answer:
If she had studied, she would be confident now.
3. Analyze how Paquimé reflects trade networks between Mesoamerica and the American Southwest.
Archaeological evidence (macaws, ceramics, turquoise) shows long-distance trade connections and cultural exchange.
3. Identify one advantage and one disadvantage of keeping original Shakespearean language in modern films.
Answer:
Advantage: authenticity.
Disadvantage: comprehension difficulty for modern audiences.
Complete:
1) "The periodic table organizes elements by their _______.
2) Water is H₂O: two hydrogen atoms and one ___ atom."
ANSWER: 1) atomic number, 2) oxygen
4. An investment earns compound interest at 5% annually. If $10,000 is invested for 3 years, what is the final amount?
Answer:
A = 10,000(1.05)³
A ≈ 10,000(1.1576)
A ≈ $11,576
4. Identify the error:
“The information are very useful for the research.”
Answer:
“Information” is uncountable.
Correct: The information is very useful for the research.
4. Why is Quinta Gameros considered architecturally unique in northern Mexico?
Answer:
It represents European Art Nouveau influence, uncommon in northern Mexican architecture of its period.
4. Order these books and artworks in correct chronological order (oldest to newest).
The Persistence of Memory (Dalí)
Pride and Prejudice (Jane Austen)
The Last Supper (Da Vinci)
1984 (George Orwell)
The Scream (Munch)
Obras:
The Last Supper (1495–1498)
Pride and Prejudice (1813)
The Scream (1893)
The Persistence of Memory (1931)
1984 (1949)
Decide if each statement is true (T) or false (F):
1) Coral reefs are found in cold, deep oceans.
2) The Amazon produces 20% of Earth’s oxygen.
3) Fungi are part of the plant kingdom.
ANSWER: 1-F, 2-T, 3-F
5. A train travels 300 km. It travels the first half at 60 km/h and the second half at 100 km/h. What is the average speed?
Answer:
First 150 km → 150 ÷ 60 = 2.5 h
Second 150 km → 150 ÷ 100 = 1.5 h
Total time = 4 h
Average speed = 300 ÷ 4 = 75 km/h
5. Rewrite formally:
“People say that the company is bankrupt.”
Answer:
The company is said to be bankrupt.
5. Evaluate the strategic importance of Chihuahua during the Mexican Revolution.
Answer:
It served as a military and political base for revolutionary leaders like Pancho Villa due to its geographic location and railroad routes.
5. Order these books and artworks in correct chronological order (oldest to newest).
Don Quixote (Cervantes)
Guernica (Picasso)
The Picture of Dorian Gray (Oscar Wilde)
Girl with a Pearl Earring (Vermeer)
To Kill a Mockingbird (Harper Lee)
Respuesta
Obras:
Don Quixote (1605)
Girl with a Pearl Earring (c.1665)
The Picture of Dorian Gray (1890)
Guernica (1937)
To Kill a Mockingbird (1960)
Predict the global impact if telecommunications suddenly failed worldwide.
Answer:
Economic collapse, disruption of trade, emergency systems failure, and social instability.