ONLINE TEST · 在线周测
MAYA 几何 [八级] 周测
Geometry Level 8 · Weekly Check
答题说明：每题只有一个正确答案，点击选项即可作答；答案会自动暂存，刷新页面不会丢失。全部答完后点「交卷并查看成绩」，系统会立即判分并生成考试总结（含分数、分模块表现、错题解析与复习建议）。
Note: Choose one answer per question, then press Submit. Answers are saved automatically in this browser. Grading and the exam summary appear immediately after submission.
Note: Choose one answer per question, then press Submit. Answers are saved automatically in this browser. Grading and the exam summary appear immediately after submission.
Part A
基础与定理Foundations & Theorems · Q1–Q4
4 题
1
It is known that if x + y = 10, then x + y + z = 10 + z. Which of Euclid's axioms does this statement illustrate?
2
How many straight lines can be drawn through two distinct points?
3
What is the sum of the interior angles of a quadrilateral?
4
In △ABC, P and Q are the midpoints of AB and AC respectively. If BC = 14 cm, find the length of PQ.
Part B
三角形中的不等关系Inequalities in a Triangle · Q5–Q8
4 题
5
In △ABC, AB = 5 cm, BC = 7 cm and CA = 9 cm. Which angle is the largest?
6
In △ABC, AB = 4 cm, BC = 6 cm and CA = 8 cm. Which angle is the smallest?
7
In △ABC, AB = 7 cm and BC = 5 cm. Which of the following could be the length of AC?
8
In △ABC, ∠A = 50° and ∠B = 70°. Which side is the longest?
Part C
平行线与角度推导Parallel Lines & Angle Chains · Q9–Q12
4 题
9
AB and CD are parallel lines cut by a transversal. If one of a pair of co-interior angles is 115°, what is the other angle?
10
Two co-interior angles formed by a transversal cutting parallel lines are (2x + 10)° and (3x − 20)°. Find x.
11
In △PQR, PQ = PR and ∠Q = 65°. Find ∠P.
12
In △ABC, ∠A = 48° and ∠B = 72°. CD bisects ∠C and meets AB at D. Find ∠ACD.
Part D
圆的弦性质Chord Properties of Circles · Q13–Q16
4 题
13
A chord of a circle is 16 cm long and its distance from the centre is 6 cm. Find the radius of the circle.
14
Two parallel chords of lengths 12 cm and 16 cm lie on opposite sides of the centre of a circle of radius 10 cm. Find the distance between the two chords.
15
AB and AC are two chords of a circle such that AB = 2AC. Their distances from the centre are 3 cm and 6 cm respectively. Using π = 3, find the area of the circle.
16
A chord of a circle is 24 cm long and its distance from the centre is 5 cm. Find the diameter of the circle.
Part E
圆周角与四边形Angles in Circles & Quadrilaterals · Q17–Q20
4 题
17
An arc of a circle subtends an angle of 70° at the centre. What angle does the same arc subtend at a point on the remaining part of the circle?
18
ABCD is a cyclic quadrilateral. If ∠A = 78°, find ∠C.
19
The perimeter of a parallelogram is 156 cm. If one side exceeds the other side by 16 cm, what are the lengths of its sides?
20
The perimeter of a parallelogram is 196 cm. If one side exceeds the other side by 8 cm, what are the lengths of its sides?
0 / 100
考试总结 Exam Summary
分模块表现 Section Breakdown
| 模块 / Section | 答对 | 得分 | 掌握度 | 正确率 |
|---|
薄弱点诊断与复习建议 Diagnosis & Next Steps
错题解析 Questions to Review
MAYA 几何 [八级] 在线周测 · 2026-11-09 · 可在网站 Calendar 11 月 9 日事件中打开