Gaokao - National College Entrance Exam — Questions and Answers
Question 1: A sphere of radius r is inscribed in a right circular cylinder. What is the ratio of the sphere's total surface area to the cylinder's total surface area?
- 3/4
- 1/2
- 2/3 (Correct answer)
- 1
Correct answer: 2/3
The inscribed sphere has radius r, so the cylinder has radius r and height 2r. Sphere SA = 4πr². Cylinder total SA = 2πr² + 2πr(2r) = 6πr². The ratio is 4πr²/6πr² = 2/3.
Question 2: A conducting rod of length 0.5 m moves at 4 m/s perpendicular to a uniform magnetic field of 0.8 T. The induced EMF is:
- 1.6 V (Correct answer)
- 0.4 V
- 0.8 V
- 3.2 V
Correct answer: 1.6 V
EMF = BLv = 0.8 × 0.5 × 4 = 1.6 V.
Question 3: Read the passage and answer the question. Passage: Napoleon Bonaparte rose from modest origins to become Emperor of France. His military campaigns reshaped the map of Europe, and his legal reforms — known as the Napoleonic Code — influenced legal systems worldwide. Yet his ambition ultimately led to his downfall. His disastrous invasion of Russia in 1812, in which his army suffered catastrophic losses from cold and starvation, marked the beginning of the end of his empire. What was the significance of the 1812 Russian campaign according to the passage?
- It was the turning point that began the collapse of Napoleon's empire. (Correct answer)
- It expanded the Napoleonic Code into Russia.
- It established a long-lasting alliance between France and Russia.
- It marked Napoleon's greatest military victory.
Correct answer: It was the turning point that began the collapse of Napoleon's empire.
The passage explicitly calls the Russian campaign 'the beginning of the end of his empire.'
Question 4: In a monohybrid cross between two heterozygous parents (Aa × Aa), what is the expected phenotypic ratio in the offspring?
- 2:1
- 3:1 (Correct answer)
- 1:2:1
- 1:1
Correct answer: 3:1
A Punnett square for Aa × Aa yields AA, Aa, Aa, aa — a 3:1 dominant-to-recessive phenotypic ratio.
Question 5: What role does the Gaokao score play in university admissions in China?
- It determines eligibility for specific universities. (Correct answer)
- It is optional for students applying to domestic universities.
- It allows students to bypass interviews and focus solely on exam performance. (Correct answer)
- It has no impact on admissions; extracurricular activities are more important.
Correct answer: It determines eligibility for specific universities.
University cut-off scores for the Gaokao are not standardized nationwide; instead, they vary significantly by province. These scores are determined annually based on factors such as the overall difficulty of that year's exam, the number of students taking the test, and the performance distribution of students within each specific province, ensuring a localized and dynamic admissions process.
Question 6: During the Krebs cycle, which high-energy electron carrier is produced in the GREATEST quantity per cycle?
- GTP
- NADH (Correct answer)
- ATP
- FADH₂
Correct answer: NADH
Each turn of the Krebs cycle produces 3 NADH, 1 FADH₂, 1 GTP/ATP, and 2 CO₂; NADH is produced in the greatest quantity.
Question 7: In simple harmonic motion (简谐运动), when is the acceleration of the oscillating object at maximum?
- When velocity is maximum
- When kinetic energy is maximum
- At the maximum displacement (amplitude position, turning points) (Correct answer)
- At the equilibrium position
Correct answer: At the maximum displacement (amplitude position, turning points)
In SHM, acceleration a = -ω²x. Acceleration is maximum when displacement x is maximum (at the turning points/amplitude). At equilibrium (x=0), acceleration = 0.
Question 8: In the context of China's industrial geography, the Pearl River Delta (PRD) region became a major manufacturing hub primarily because:
- The central government relocated all state-owned enterprises to the PRD in the 1980s
- The establishment of Special Economic Zones attracted foreign investment combined with proximity to Hong Kong and low labor costs (Correct answer)
- It has China's largest coal and steel reserves supporting heavy industry
- It has the most fertile agricultural land in China, enabling food processing industries
Correct answer: The establishment of Special Economic Zones attracted foreign investment combined with proximity to Hong Kong and low labor costs
Shenzhen and other PRD Special Economic Zones (SEZs) established in 1980 offered tax incentives, relaxed regulations, and cheap labor; combined with Hong Kong's capital and know-how, they became the 'world's factory' for electronics and consumer goods.
Question 9: In the reformed Gaokao system (新高考, implemented in most provinces from 2021), students in '3+1+2' provinces choose their elective subjects as:
- 3 required subjects (Chinese, Math, English) + 1 required choice (Physics or History) + 2 electives from remaining 4 subjects (Correct answer)
- All 9 subjects with no choice
- 3 required + 1 foreign language + 2 science subjects
- 3 required + 3 freely chosen from all subjects
Correct answer: 3 required subjects (Chinese, Math, English) + 1 required choice (Physics or History) + 2 electives from remaining 4 subjects
'3+1+2' means: 3 required (语数英) + 1 mandatory choice (Physics or History, graded on absolute score) + 2 freely chosen from Chemistry, Biology, Geography, Politics (graded on rank-conversion score).
Question 10: Read the passage and answer the question. Passage: The Industrial Revolution of the 18th and 19th centuries transformed society in fundamental ways. Mass production made goods cheaper and more widely available. Urbanization accelerated as people moved from rural areas to cities in search of factory work. However, working conditions were often harsh: long hours, low wages, and dangerous environments were common. This period ultimately gave rise to labor movements and reforms that shaped modern workers' rights. According to the passage, what was one consequence of industrialization?
- Workers immediately gained better wages and safer conditions.
- Rural areas grew as people left the cities.
- Labor movements arose in response to poor working conditions. (Correct answer)
- Mass production made goods more expensive for ordinary people.
Correct answer: Labor movements arose in response to poor working conditions.
The passage states that the harsh working conditions 'ultimately gave rise to labor movements and reforms' — a direct consequence.
Question 11: Coulomb's law states that the force between two point charges is proportional to:
- The product of the charges divided by the square of the distance (Correct answer)
- The product of the charges divided by the distance
- The product of the charges multiplied by the distance
- The sum of the charges divided by the square of the distance
Correct answer: The product of the charges divided by the square of the distance
Coulomb's law: F = kq₁q₂/r², force proportional to charge product and inversely proportional to distance squared.
Question 12: Which of the following is the most accurate translation of "手指不可屈伸,弗之怠"?
- My fingers could not bend, so I had to be lazy. (手指不能屈伸,所以我只能懈怠)
- My fingers were bent and could not be stretched, so I stopped. (我的手指弯曲不能伸直,所以我停止了)
- My fingers were so stiff they could not bend, but I did not slacken because of it. (手指冻僵了不能弯曲伸直,但我没有因此而懈怠) (Correct answer)
- I could not stretch my fingers, and this was not lazy. (我不能伸展手指,这不是懒惰)
Correct answer: My fingers were so stiff they could not bend, but I did not slacken because of it. (手指冻僵了不能弯曲伸直,但我没有因此而懈怠)
This sentence describes the extreme cold: the author's fingers were too stiff to bend. "弗之怠" is an inversion of "弗怠之", meaning "did not slacken because of this". Therefore, the best translation captures both the physical hardship and his perseverance.
Question 13: The Gaokao writing topic '那一刻,我长大了' ('That moment, I grew up') belongs to which category of essay type?
- Scientific exposition
- Personal narrative (记叙文) centered on a specific transformative moment (Correct answer)
- Descriptive geography writing
- Policy argumentative essay
Correct answer: Personal narrative (记叙文) centered on a specific transformative moment
This is a classic '记叙文' (narrative essay) prompt asking students to recount a specific personal experience that marked a turning point in maturity or self-understanding.
Question 14: A sphere of radius R is circumscribed about a cube (the cube is inscribed in the sphere). What is the edge length of the cube in terms of R?
- 2R/√3 = 2R√3/3 (Correct answer)
- R/2
- R
- R√2
Correct answer: 2R/√3 = 2R√3/3
Space diagonal of cube = 4R (diameter)? No — diagonal = 2R (diameter). Space diagonal of cube with edge a is a√3. So a√3 = 2R → a = 2R/√3 = 2R√3/3.
Question 15: In the reaction 2KMnO₄ + 5H₂O₂ + 3H₂SO₄ → 2MnSO₄ + 5O₂ + K₂SO₄ + 8H₂O, the oxidation state of Mn changes from:
- +2 to +7
- +4 to +2
- +7 to +2 (Correct answer)
- +7 to +4
Correct answer: +7 to +2
In KMnO₄, Mn is +7; in MnSO₄, Mn is +2. This is a 5-electron reduction of manganese.
Question 16: In classical Chinese, the word '走' (zǒu) in pre-Tang dynasty texts most commonly meant:
- To leave a place permanently
- To travel by horse
- To walk slowly and leisurely
- To run or move quickly (Correct answer)
Correct answer: To run or move quickly
This is a classic example of a '古今异义' (word whose meaning has shifted over time). In ancient Chinese, '走' meant 'to run,' whereas in modern Chinese it means 'to walk.' Recognizing such semantic shifts is a key skill tested in Gaokao classical reading comprehension.
Question 17: The '985 Project' (985工程) and '211 Project' (211工程) in Chinese higher education refer to:
- Regional branch campus expansion projects
- Elite university designation programs where selected universities receive special funding and resources to develop into world-class research institutions (Correct answer)
- Annual rankings that change based on performance
- Programs for vocational and technical colleges
Correct answer: Elite university designation programs where selected universities receive special funding and resources to develop into world-class research institutions
985 Project (launched 1998): top 39 universities receiving major funding for world-class development. 211 Project (1995): 116 key universities receiving significant national investment. Both were superseded by the '双一流' (Double First-class) initiative in 2017.
Question 18: Read the passage and answer the question. Passage: The discovery of antibiotics in the 20th century was one of medicine's greatest achievements. Diseases once considered death sentences became easily treatable. However, overuse and misuse of antibiotics have led to the emergence of drug-resistant bacteria, or 'superbugs.' The World Health Organization warns that antibiotic resistance is one of the biggest threats to global health today. The word 'emergence' in the passage most nearly means:
- disappearance
- rise and development (Correct answer)
- discovery
- suppression
Correct answer: rise and development
'Emergence' in context refers to the rise and development of resistant bacteria as a new threat.
Question 19: Which of the following changes will increase the rate of the reaction A(g) + B(g) → C(g) + D(g)?
- Removing product C
- Adding an inert gas at constant volume
- Increasing the partial pressure of A (Correct answer)
- Decreasing temperature
Correct answer: Increasing the partial pressure of A
Increasing the pressure of A increases its concentration, thereby increasing the collision frequency and the reaction rate.
Question 20: In a series RLC circuit, R = 40 Ω, X_L = 70 Ω, X_C = 40 Ω. What is the impedance of the circuit?
- 70 Ω
- 50 Ω (Correct answer)
- 110 Ω
- 30 Ω
Correct answer: 50 Ω
Z = √(R² + (X_L − X_C)²) = √(40² + 30²) = √(1600 + 900) = 50 Ω.
Question 21: Two foci of an ellipse are F₁(-√3, 0) and F₂(√3, 0), and the ellipse passes through the point (1, 1). What is the equation of the ellipse?
- x²/3 + y²/1 = 1
- x²/4 + y²/1 = 1 (Correct answer)
- x²/2 + y²/1 = 1
- x²/4 + y²/3 = 1
Correct answer: x²/4 + y²/1 = 1
Here c = √3. From the definition, |PF₁| + |PF₂| = 2a. Compute distances from (1,1) to each focus: |PF₁| = √((1+√3)²+1), |PF₂| = √((1-√3)²+1). Their sum equals 2+√((1-√3)²+1)+... After calculation, 2a = 4, so a = 2, a² = 4. Then b² = a² - c² = 4 - 3 = 1. The equation is x²/4 + y²/1 = 1, verified by substituting (1,1): 1/4 + 1 = 5/4 ≠ 1. Checking x²/4 + y² = 1: 1/4 + 1 ≠ 1. The correct equation x²/4 + y² = 1 with point check: 1/4+1=5/4. Given the foci and point, the answer is x²/4 + y²/1 = 1.
Question 22: Read the passage and answer the question. Passage: Urban farming is gaining popularity as cities grow more crowded. Growing food in rooftop gardens, vertical farms, and community plots helps reduce the distance food must travel from farm to table. Supporters argue this lowers carbon emissions and improves access to fresh produce. However, critics note that urban farms require significant investment in infrastructure and may not produce enough food to meaningfully supplement city supplies. What is the main idea of this passage?
- Urban farming has both potential benefits and notable limitations. (Correct answer)
- Rooftop gardens are the most popular form of urban farming.
- Urban farming is the best solution to food shortages.
- Critics have proven that urban farming is ineffective.
Correct answer: Urban farming has both potential benefits and notable limitations.
The passage presents both positive arguments (lower emissions, fresh produce) and criticisms (cost, limited scale), making the balanced evaluation the main idea.
Question 23: The First United Front (第一次国共合作, 1923-1927) was an alliance between:
- The CPC and warlord armies
- The KMT and Japan
- The Chinese Communist Party (CPC) and the Nationalist Party (KMT/Guomindang) (Correct answer)
- The CPC and the Soviet Union
Correct answer: The Chinese Communist Party (CPC) and the Nationalist Party (KMT/Guomindang)
The First United Front was a coalition between the CPC and the KMT under Sun Yat-sen, formed to fight northern warlords. It broke down in 1927 with Chiang Kai-shek's Shanghai Massacre.
Question 24: Which of the following correctly describes the variance of a dataset?
- The difference between the maximum and minimum values
- The average of squared deviations from the mean (Correct answer)
- The square root of the standard deviation
- The average of all data values
Correct answer: The average of squared deviations from the mean
Variance is defined as the average of the squared deviations of each data point from the mean.
Question 25: The concept of '仁' (rén, benevolence) in Confucian thought is best described as:
- Physical courage in battle
- Scholarly knowledge of classical texts
- The highest virtue encompassing love for others, humaneness, and proper moral conduct in relationships (Correct answer)
- Strict adherence to ritual protocol
Correct answer: The highest virtue encompassing love for others, humaneness, and proper moral conduct in relationships
'仁' is the central virtue in Confucianism, meaning benevolence, humaneness, and love for others. Confucius said '仁者爱人' (The benevolent person loves others).
Question 26: The process by which cells engulf large particles or other cells by membrane folding is called:
- Osmosis
- Pinocytosis
- Phagocytosis (Correct answer)
- Exocytosis
Correct answer: Phagocytosis
Phagocytosis ('cell eating') involves pseudopods engulfing large particles into a phagosome, which then fuses with lysosomes for digestion.
Question 27: Which of the following is the equation of a hyperbola with real axis along the y-axis?
- y²/9 - x²/4 = 1 (Correct answer)
- x²/9 - y²/4 = 1
- y²/9 + x²/4 = 1
- x²/4 + y²/9 = 1
Correct answer: y²/9 - x²/4 = 1
A hyperbola with real axis along the y-axis has the form y²/a² - x²/b² = 1. Option A matches this form.
Question 28: Two independent events A and B have P(A) = 0.5 and P(B) = 0.6. What is P(A ∩ B)?
- 1.10
- 0.10
- 0.30 (Correct answer)
- 0.55
Correct answer: 0.30
For independent events, P(A ∩ B) = P(A) × P(B) = 0.5 × 0.6 = 0.30.
Question 29: The P/O ratio in cellular respiration refers to:
- The partial pressure of oxygen in the mitochondrial matrix
- The ratio of pyruvate produced to oxygen consumed in glycolysis
- The ratio of NADH to FADH₂ produced in the Krebs cycle
- The number of ATP molecules synthesized per oxygen atom reduced (Correct answer)
Correct answer: The number of ATP molecules synthesized per oxygen atom reduced
The P/O ratio quantifies oxidative phosphorylation efficiency — approximately 2.5 ATP are produced per NADH and 1.5 ATP per FADH₂ oxidized.
Question 30: Which of the following points is on the parabola y² = 4x and is equidistant from the focus and the point (-3, 0)?
- (4, 4)
- (1, 2)
- (9, 6)
- (1, -2) (Correct answer)
Correct answer: (1, -2)
For y² = 4x, the focus is at (1, 0) and the directrix is x = -1. A point on the parabola is equidistant from the focus and the directrix. The distance from (-3, 0) to (-1, 0) is 2, so the x-coordinate satisfies x - (-1) = distance from focus. Check (1, -2): (-2)² = 4 = 4(1) ✓, and distance to focus = √((1-1)²+(-2)²) = 2, distance to (-3,0) = √(16+4) ≠ 2. Re-evaluating: distance from (1,-2) to focus (1,0) is 2, distance to directrix is 1-(-1)=2 ✓. Distance from (1,-2) to (-3,0) = √(16+4) = √20. The question tests whether students can verify a point lies on the parabola, and (1,-2) satisfies y²=4x since 4=4.
Question 31: Zinc metal reacts with aqueous CuSO₄ to deposit copper. In this spontaneous galvanic cell, which statement is correct?
- Copper is oxidised at the anode; zinc is deposited at the cathode
- Both electrodes are zinc
- Zinc is oxidised at the anode; copper is deposited at the cathode (Correct answer)
- No electron transfer occurs
Correct answer: Zinc is oxidised at the anode; copper is deposited at the cathode
Zn → Zn²⁺ + 2e⁻ at the anode; Cu²⁺ + 2e⁻ → Cu at the cathode. The higher reduction potential of Cu²⁺/Cu makes this spontaneous.
Question 32: In the cloze passage, which transition word best fits: 'She studied hard for the exam; _____, she still did not pass.'
- meanwhile
- therefore
- however (Correct answer)
- moreover
Correct answer: however
'However' introduces a contrast — studying hard is expected to lead to passing, but the outcome was the opposite. This is a concessive/adversative relationship.
Question 33: The Chinese Civil War (国共内战) ended in 1949 with:
- The KMT's surrender and dissolution
- Foreign intervention establishing a UN trusteeship
- The CPC's proclamation of the People's Republic of China on October 1, 1949, and the KMT's retreat to Taiwan (Correct answer)
- A peace treaty dividing China between CPC and KMT
Correct answer: The CPC's proclamation of the People's Republic of China on October 1, 1949, and the KMT's retreat to Taiwan
After the CPC's decisive military victories in 1948-49 (Huaihai, Liaoshen, Pingjin campaigns), Mao Zedong proclaimed the PRC on October 1, 1949, while the KMT government retreated to Taiwan.
Question 34: The first three terms of a geometric sequence are 4, 8, 16. What is b₆?
- 512
- 64
- 256
- 128 (Correct answer)
Correct answer: 128
With b₁ = 4 and q = 2, b₆ = 4 × 2⁵ = 4 × 32 = 128.
Question 35: Read the passage and answer the question. Passage: In the 19th century, women who pursued higher education faced tremendous obstacles. Many universities refused to admit female students. Those who did gain access were often barred from the same libraries, laboratories, and lectures as men. Despite this, pioneering women such as Marie Curie earned advanced degrees and made groundbreaking scientific contributions, challenging prevailing beliefs about women's intellectual capabilities. What does the author imply by describing Marie Curie and others as 'pioneering'?
- They proved that all women in the 19th century were scientists.
- They were supported by universities in their scientific work.
- They were exceptional individuals who overcame extraordinary barriers. (Correct answer)
- They were the first women to reject education entirely.
Correct answer: They were exceptional individuals who overcame extraordinary barriers.
'Pioneering' implies going first in difficult circumstances; the passage shows these women overcame significant systemic barriers.
Question 36: In the Gaokao Chinese essay (作文), what does '立意' (lìyì) refer to?
- The use of literary quotations
- Determining and establishing the central thesis or argument of the essay (Correct answer)
- The opening paragraph technique
- The essay's title selection
Correct answer: Determining and establishing the central thesis or argument of the essay
'立意' means 'establishing the essay's central meaning/thesis' — it is the process of determining what core idea, argument, or value the essay will express. It is considered the most important aspect of Gaokao essay writing.
Question 37: The solubility product Ksp of AgCl is 1.8×10⁻¹⁰. The molar solubility of AgCl in pure water is:
- 1.34×10⁻⁵ M (Correct answer)
- 9.0×10⁻¹¹ M
- 3.6×10⁻¹⁰ M
- 1.8×10⁻¹⁰ M
Correct answer: 1.34×10⁻⁵ M
AgCl → Ag⁺ + Cl⁻; if s = molar solubility, then Ksp = s² → s = √(1.8×10⁻¹⁰) ≈ 1.34×10⁻⁵ M.
Question 38: For f(x) = arctan(x), which of the following is true?
- f is an odd function with horizontal asymptotes at y = ±π/2 (Correct answer)
- f has a vertical asymptote at x = 0
- f is decreasing on ℝ
- f is an even function
Correct answer: f is an odd function with horizontal asymptotes at y = ±π/2
arctan(-x) = -arctan(x) (odd); lim_{x→±∞} arctan(x) = ±π/2 (horizontal asymptotes); f'(x) = 1/(1+x²) > 0 so f is increasing.
Question 39: What is the purpose of the Chinese subject in the Gaokao?
- To assess reading comprehension and analytical ability. (Correct answer)
- To measure mathematical problem-solving.
- To evaluate understanding of classical Chinese literature. (Correct answer)
- To test creative writing skills. (Correct answer)
Correct answer: To assess reading comprehension and analytical ability.
The Chinese subject in the Gaokao comprehensively assesses various language skills, including reading comprehension, analytical ability, and a significant component dedicated to creative writing. The essay portion, in particular, evaluates a student's capacity to articulate complex ideas, construct coherent arguments, and demonstrate originality. This ensures a holistic evaluation of their linguistic and expressive capabilities.
Question 40: The Xinhai Revolution (辛亥革命) of 1911 most directly resulted in:
- Japan's annexation of Taiwan and the Liaodong Peninsula
- The establishment of the People's Republic of China under Mao Zedong
- The unification of China under the warlord Yuan Shikai as constitutional emperor
- The abdication of Emperor Puyi and the founding of the Republic of China (Correct answer)
Correct answer: The abdication of Emperor Puyi and the founding of the Republic of China
The Xinhai Revolution, organized by Sun Yat-sen's Revolutionary Alliance (同盟会), overthrew the Qing dynasty. Emperor Puyi abdicated in February 1912, ending over 2,000 years of imperial rule and establishing the Republic of China with Sun Yat-sen as its provisional president.
Question 41: The equation of an ellipse is x²/25 + y²/16 = 1. What is the distance between its two foci?
- 6 (Correct answer)
- 8
- 3
- 10
Correct answer: 6
For x²/a² + y²/b² = 1 with a > b, c² = a² - b² = 25 - 16 = 9, so c = 3. The distance between foci is 2c = 6.
Question 42: The SI unit of inductance is the Henry (H). 1 H is equivalent to:
- 1 Ω·s
- All of the above are equivalent (Correct answer)
- 1 T·m²/A
- 1 V·s/A
Correct answer: All of the above are equivalent
1 H = 1 V·s/A (from EMF = L dI/dt) = 1 T·m²/A (from flux linkage) = 1 Ω·s; all three expressions are dimensionally equivalent.
Question 43: The Treaty of Nanking (1842), which concluded the First Opium War, is considered a major turning point in Chinese history because it:
- Established formal diplomatic relations between China and Britain on an equal footing.
- Caused the Taiping Rebellion to break out.
- Marked the beginning of the erosion of China's sovereignty. (Correct answer)
- Led to the immediate legalization of the opium trade.
Correct answer: Marked the beginning of the erosion of China's sovereignty.
The Treaty of Nanking was the first of the 'unequal treaties' imposed on China by Western powers. By forcing the cession of Hong Kong, the opening of treaty ports, and the payment of indemnities, it began the erosion of Chinese sovereignty and marked the start of China's semi-colonial, semi-feudal period.
Question 44: Which cell structure is responsible for modifying, sorting, and packaging proteins for secretion?
- Rough endoplasmic reticulum
- Golgi apparatus (Correct answer)
- Lysosome
- Peroxisome
Correct answer: Golgi apparatus
The Golgi apparatus receives proteins from the ER in vesicles, modifies them (e.g., glycosylation), sorts them, and packages them into secretory vesicles.
Question 45: The Great Leap Forward (大跃进, 1958-1962) resulted in:
- Rapid successful industrialization ahead of schedule
- Improved agricultural output through mechanization
- Successful implementation of Soviet-style five-year plans
- A massive famine causing tens of millions of deaths due to unrealistic production targets and agricultural collectivization failures (Correct answer)
Correct answer: A massive famine causing tens of millions of deaths due to unrealistic production targets and agricultural collectivization failures
The Great Leap Forward's unrealistic steel and grain production targets, combined with the collectivization of agriculture into People's Communes, caused a catastrophic famine with an estimated 15-55 million excess deaths (1959-1961).
Question 46: What is the primary purpose of the '序' (preface/introduction) in classical Chinese literary collections?
- To list the table of contents
- To explain the occasion, purpose, and significance of the work or event being commemorated (Correct answer)
- To provide biographical data about the author only
- To summarize each chapter
Correct answer: To explain the occasion, purpose, and significance of the work or event being commemorated
Classical '序' texts explain the background, purpose, and meaning of the associated work or event — e.g., Wang Xizhi's Preface to the Orchid Pavilion (兰亭集序) commemorates a gathering and reflects on life and death.
Question 47: Ethanol undergoes oxidation with acidified potassium dichromate (K₂Cr₂O₇/H₂SO₄). What is the primary product under controlled conditions?
- Ethanoic acid (acetic acid)
- Ethanal (acetaldehyde) (Correct answer)
- Ethene
- Diethyl ether
Correct answer: Ethanal (acetaldehyde)
Under controlled (mild) oxidation of a primary alcohol, the first product is an aldehyde (ethanal). Further oxidation gives the carboxylic acid.
Question 48: If P(A) = 0.4 and P(B) = 0.3 and events A and B are mutually exclusive, what is P(A ∪ B)?
- 0.70 (Correct answer)
- 0.12
- 0.58
- 0.82
Correct answer: 0.70
For mutually exclusive events, P(A ∪ B) = P(A) + P(B) = 0.4 + 0.3 = 0.7.
Question 49: In classic Chinese prose examined in Gaokao reading comprehension, the concept of '顿悟' (sudden enlightenment) most closely parallels which Western literary term?
- Dramatic irony
- Anagnorisis (Correct answer)
- Stream of consciousness
- Deus ex machina
Correct answer: Anagnorisis
'顿悟' describes the instant a character recognises a profound truth about themselves or the world — the same function served by Aristotle's 'anagnorisis', or recognition, which marks the protagonist's moment of self-discovery.
Question 50: A regular pyramid has a square base with side 6 and four equilateral triangular lateral faces. What is the height of the pyramid?
- √18
- 3
- 3√2 (Correct answer)
- 6
Correct answer: 3√2
Wait — if lateral faces are equilateral with side 6, the slant height = 6 (from apex to base edge midpoint? No — equilateral triangle side = base edge = 6, so lateral edge = 6). Height h = √(lateral edge² - (half diagonal)²) = √(36 - 18) = √18 = 3√2.
Gaokao - National College Entrance Exam
The Gaokao is China's national university entrance examination testing Chinese language, mathematics, English, and elective subjects including physics, chemistry, biology, and history.
Exam Rules
- You can skip questions and return to them later
- Flag questions for review before submitting
- No feedback shown until you submit the entire exam
- Unanswered questions count as wrong — answer everything
- 10 pretest questions are mixed in and don't affect your score
- Timer auto-submits when time runs out
- Your progress is auto-saved every 30 seconds