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Bilingual Glossary

AMC8 bilingual glossary covering algebra, geometry, number theory, combinatorics and exam terminology to help adapt to bilingual papers.

Bilingual

Since 2020 AMC8 offers bilingual papers. Mastering English terminology helps adapt to international exams.

English	Chinese	Explanation
Integer	整数	positive, negative integers and zero
Fraction	分数	numerator / denominator
Decimal	小数	such as 0.5, 0.25
Equation	方程	mathematical statement with equal sign
Inequality	不等式	connected by <, >, ≤, ≥
Variable	变量	unknown represented by a letter
Expression	表达式	composed of numbers and operators
Coefficient	系数	number before variable, e.g., 3 in 3x
Exponent	指数	the n in aⁿ
Arithmetic sequence	等差数列	constant difference
Geometric sequence	等比数列	common ratio
Function	函数	denoted by f(x)
Average (Mean)	平均数	sum divided by count
Median	中位数	middle value after sorting
Mode	众数	value appearing most frequently
Range	极差	max minus min

English	Chinese	Explanation
Triangle	三角形	acute / right / obtuse angles
Quadrilateral	四边形	rectangle / square
Parallelogram	平行四边形	opposite sides parallel and equal
Trapezoid	梯形	only one pair of parallel sides
Rhombus	菱形	parallelogram with four equal sides
Circle	圆	radius / diameter
Circumference	周长	specifically refers to circle perimeter
Perimeter	周长	perimeter of polygons
Area	面积	size of plane figure
Volume	体积	size of solid figure
Hypotenuse	斜边	longest side of right triangle
Leg	直角边	two legs of right triangle
Pythagorean theorem	勾股定理	a²+b²=c²
Congruent	全等	identical in shape and size
Similar	相似	same shape, different size
Coordinate	坐标	(x, y) represents point on plane
Midpoint	中点	midpoint of a line segment
Diagonal	对角线	line connecting non-adjacent vertices

English	Chinese	Explanation
Prime number	质数	only two factors: 1 and itself
Composite number	合数	has more than two factors
Factor / Divisor	因数	integers that divide this number
Multiple	倍数	this number multiplied by an integer
Greatest Common Divisor	最大公因数 (GCD)	largest of all common factors
Least Common Multiple	最小公倍数 (LCM)	smallest of all common multiples
Prime factorization	质因数分解	factor into product of primes
Remainder	余数	remainder in division
Divisible	可整除的	remainder is zero
Consecutive integers	连续整数	such as 3,4,5 or n,n+1,n+2
Perfect square	完全平方数	square of an integer, e.g., 1,4,9,16
Parity	奇偶性	odd / even

English	Chinese	Explanation
Permutation	排列	selection where order matters
Combination	组合	selection where order doesn't matter
Probability	概率	likelihood of event occurring
Factorial	阶乘	n! = n×(n-1)×...×1
Pigeonhole principle	鸽巢原理	n+1 objects into n boxes
Inclusion-Exclusion	容斥原理	\|A∪B\|=\|A\|+\|B\|-\|A∩B\|
Sample space	样本空间	set of all possible outcomes
Favorable outcome	有利结果	outcomes satisfying the condition
Independent events	独立事件	events that do not affect each other
Mutually exclusive	互斥事件	cannot occur simultaneously
Counting principle	计数原理	addition and multiplication principles

English	Chinese	Explanation
At least	至少	≥, greater than or equal to
At most	至多	≤, less than or equal to
Exactly	恰好	exactly equal to
Consecutive	连续的	adjacent, uninterrupted
Distinct	不同的	distinct, different from each other
Positive integer	正整数	1, 2, 3, ...
Non-negative	非负	≥ 0
Expressed as a common fraction	化为最简分数	numerator and denominator coprime
In simplest form	最简形式	cannot be simplified further
Rounded to the nearest	四舍五入到	nearest tenth = one decimal place
Which of the following	以下哪个	standard multiple-choice opening
What is the value of	...的值是多少	value-finding problems
How many	多少个	find the quantity

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