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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
2016 national-I

7 maths questions

Q1 5 marks Inequalities Set Operations Using Inequality-Defined Sets View
Let $A = \left\{ x \mid x ^ { 2 } - 4 x + 3 < 0 \right\} , B = \{ x \mid 2 x - 3 > 0 \}$, then $A \cap B =$
(A) $\left( - 3 , - \frac { 3 } { 2 } \right)$
(B) $\left( - 3 , \frac { 3 } { 2 } \right)$
(C) $\left( 1 , \frac { 3 } { 2 } \right)$
(D) $\left( \frac { 3 } { 2 } , 3 \right)$
Q2 5 marks Complex Numbers Arithmetic Systems of Equations via Real and Imaginary Part Matching View
Let $( 1 + i ) x = 1 + y i$, where $x , y$ are real numbers, then $| x + y i | =$
(A) 1
(B) $\sqrt { 2 }$
(C) $\sqrt { 3 }$
(D) 2
Q3 5 marks Arithmetic Sequences and Series Find Specific Term from Given Conditions View
For an arithmetic sequence $\left\{ a _ { n } \right\}$, the sum of the first 9 terms is 27, and $a _ { 10 } = 8$, then $a _ { 100 } =$
(A) 100
(B) 99
(C) 98
(D) 97
Q4 5 marks Continuous Uniform Random Variables View
A company's shuttle bus departs at 7:30, 8:00, and 8:30. Xiaoming arrives at the bus station between 7:50 and 8:30 to board the shuttle, and his arrival time is random. The probability that his waiting time does not exceed 10 minutes is
(A) $\frac { 1 } { 3 }$
(B) $\frac { 1 } { 2 }$
(C) $\frac { 2 } { 3 }$
(D) $\frac { 3 } { 4 }$
Q7 5 marks Curve Sketching Identifying the Correct Graph of a Function View
The graph of the function $y = 2 x ^ { 2 } - e ^ { | x | }$ on $[ - 2,2 ]$ is approximately
(A), (B), (C), (D) [as shown in the figures]
Q8 5 marks Exponential Functions Ordering and Comparing Exponential Values View
If $a > b > 1 , ~ 0 < c < 1$, then
(A) $a ^ { c } < b ^ { c }$
(B) $a b ^ { c } < b a ^ { c }$
(C) $a \log _ { b } c < b \log _ { a } c$
(D) $\log _ { a } c < \log _ { b } c$
Q10 5 marks Circles Intersection of Circles or Circle with Conic View
A circle with the vertex of parabola $C$ as its center intersects $C$ at points $A , B$, and intersects the directrix of $C$ at points $D , E$. If $|DE| = 2 \sqrt { 5 }$, then the distance from the focus of $C$ to the directrix is
(A) 2
(B) 4
(C) 6
(D) 8