GAOKAO Study Guide 2026

Everything you need to pass the GAOKAO exam in one place: the exam format, every topic to study, real practice questions with explanations, flashcards, and full-length practice tests. Free, no sign-up needed.

📋 GAOKAO Exam Format at a Glance

Questions

150 min

Time Limit

60%

Passing Score

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📚 GAOKAO Topics to Study (93)

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✍️ Sample GAOKAO Questions & Answers

1. What is the structural difference between 1-butene and 2-butene?

✓ The position of the double bond in the carbon chain

Both are C₄H₈ isomers with one double bond; they differ only in the position of the C=C double bond (between C1-C2 vs C2-C3).

2. In a Gaokao cloze passage, the blank reads: 'She had always been _____ of her younger brother, often helping him with his homework.' Which word best fits the blank?

✓ protective

'Protective' fits the context: she helped her younger brother with homework, indicating a caring, protective attitude. The other options contradict the helping behavior described.

3. The relationship ΔG = ΔH − TΔS determines reaction spontaneity. A reaction is spontaneous at all temperatures when:

✓ ΔH 0

When ΔH 0, ΔG = ΔH − TΔS is always negative (for T > 0 K), so the reaction is spontaneous at all temperatures.

4. Evaluate ∫₁^e (1/x + x) dx.

✓ 1 + (e²-1)/2

∫(1/x + x)dx = ln|x| + x²/2; evaluated from 1 to e: (ln e + e²/2) - (ln 1 + 1/2) = 1 + e²/2 - 1/2 = 1 + (e²-1)/2.

5. The curve y = x³ - x has horizontal tangent lines at which x-values?

✓ x = ±1/√3

y' = 3x² - 1 = 0 → x² = 1/3 → x = ±1/√3.

6. 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

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.

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