gaokao

Papers (71)
2025
national-I 18 national-II 18 national-I_eol 18
2024
beijing 19 national-II 18 national-I_github 18
2023
national-A-science 20 national-B-science 15 national-II 7
2022
national-A-arts 13 national-A-science 11 national-B-arts 19 national-B-science 17 national-I 18 national-II 7
2021
national-A-arts 19 national-A-science 16 national-I 12 national-II 10
2020
national-I-arts 21 national-I-science 9 national-II-science 14 national-III-arts 22 national-III-science 16 shanghai 14
2019
beijing-science 17 national-I-arts 17 national-I-science 13 national-I-science_gkztc 18 national-II-arts 13 national-II-science 8 national-II-science_gkztc 14 national-III-arts 11 national-III-science 16 national-III-science_gkztc 15
2018
national-I-arts 14 national-I-science 13 national-II-arts 20 national-II-science 19 national-III-science 17
2017
national-I-arts 12 national-I-science 13 national-II-arts 14 national-II-science 9
2016
national-I 7
2015
anhui-arts 14 beijing-arts 18 beijing-science 16 chongqing-arts 16 chongqing-science 13 fujian-science 18 hubei-arts 18 hubei-science 15 hunan-arts 20 hunan-science 11 jiangsu 21 national-II-arts 16 national-II-science 16 shaanxi-science 18 sichuan-arts 16 sichuan-science 21 tianjin-arts 18 tianjin-science 17 zhejiang-arts 14 zhejiang-science 15
2011
shanghai-arts 21
2010
shanghai-arts 20 shanghai-science 12
2004
shanghai-science 17
Unknown
sample_questions 3 sample_questions_testmocks 6
sample_questions_testmocks

6 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 Probability Definitions Finite Equally-Likely Probability Computation 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:
$\cos \left( \frac { \pi } { 11 } \right)$
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.