gaokao

Papers (66)
2025
national-I 19 national-II 18 national-I_eol 19
2024
beijing 21 national-II 19 national-I_github 19
2023
national-A-science 18 national-B-science 16 national-II 8
2022
national-A-arts 15 national-A-science 14 national-B-arts 20 national-B-science 17 national-I 19 national-II 7
2021
national-A-arts 19 national-A-science 18 national-I 14 national-II 12
2020
national-I-arts 20 national-I-science 9 national-II-science 17 national-III-arts 22 national-III-science 16 shanghai 17
2019
beijing-science 15 national-I-arts 13 national-I-science 12 national-I-science_gkztc 14 national-II-arts 13 national-II-science 9 national-II-science_gkztc 13 national-III-arts 14 national-III-science 16 national-III-science_gkztc 14
2018
national-I-arts 14 national-I-science 13 national-II-arts 20 national-II-science 18 national-III-science 17
2017
national-I-arts 13 national-I-science 14 national-II-arts 15 national-II-science 8
2016
national-I 7
2015
anhui-arts 14 beijing-arts 15 beijing-science 13 chongqing-arts 20 chongqing-science 15 fujian-science 18 hubei-arts 16 hubei-science 15 hunan-arts 21 hunan-science 11 jiangsu 19 national-II-arts 15 national-II-science 16 shaanxi-science 17 sichuan-arts 15 sichuan-science 21 tianjin-arts 17 tianjin-science 17 zhejiang-arts 15 zhejiang-science 15
Unknown
sample_questions 7
sample_questions

7 maths questions

Q3 Taylor series Construct series for a composite or related function View
Find the Taylor series expansion of $f ( x ) = e ^ { x } \sin ( x )$ centered at $x = \frac { \pi } { 4 }$.
Q5 Combinations & Selection Combinatorial Probability View
In a deck of cards, what is the probability that when drawing 10 cards, none of them are hearts?
Q6 Number Theory Prime Number Properties and Identification View
Find all prime numbers $p$ such that $p ^ { 2 } + 2$ is also a prime number.
Q7 Trig Graphs & Exact Values View
Calculate the exact value of: $\cos \left( \frac { \pi } { 11 } \right)$
Q8 Proof Proof of Equivalence or Logical Relationship Between Conditions View
Translate the statement "For every real number $x$, there exists a real number $y$ such that $x ^ { 3 } + 3 y - 2 = 0$.
Q9 Simultaneous equations View
Solve the system of equations:
$$\begin{aligned} & x _ { 1 } + 2 x _ { 2 } - 3 x _ { 3 } = 5 \\ & 2 x _ { 1 } - x _ { 2 } + 4 x _ { 3 } = 7 \\ & 3 x _ { 1 } + 4 x _ { 2 } + x _ { 3 } = - 2 \end{aligned}$$
Q10 Variable acceleration (vectors) View
A particle in three-dimensional space moves along the path: $\vec { r } ( t ) = \left\langle t ^ { 2 } , \sin ( t ) , e ^ { t } \right\rangle$. Find the time when the particle changes direction.