对于想要前往澳洲留学的学生来说，AEAS是必须要参加的一门考试，从考生的反馈中，我们得知该测试主要包括三大部分——英语、数学、综合，分别考察学生的不同知识、能力。其中，英语部分（不同年级的考试时长不同）主要考察学生对词汇、阅读、听力、口语等知识的掌握情况以及英语运用能力；数学部分（45分钟）以图表、多项选择题为主，考察学生的数理常识以及逻辑推理能力；综合部分又称为非语言综合能力测试（30分钟），题目中不包含任何文字，考察学生的智商、个性等。
虽然我国学生在数学方面具有绝对优势，但是面对AEAS考试的数学逻辑推理却不一定能发挥出最大优势，难点在于对专用词汇的不熟悉，很可能导致学生曲解题目的含义，无法得出正确答案。在这里，小编要提醒各位考生，如果在考场上遇到不熟悉的术语或运算符号时，可以向监考老师请求帮助，该老师会尽可能使用学生的母语向学生解释题目的意思，这对学生答题会大有益处。
此外，AEAS数学考试的评分情况也比较特别：评分老师首先会给出一个原始分(Raw Score)，当考生答对一题加一分，若答错一题减0.25分。当然，考生也可以选择不答，不答的题目既不加分也不减分。最后在成绩单上会将学生的原始分转化为九分制的标准分(Stanine)。很多澳洲私校会对申请学生的AEAS数学逻辑分数有要求，例如维州的优秀私校要求学生AEAS数学分数一定要达到7分，若未达标，不少墨尔本学校会直接拒绝申请。因此，考生在备考阶段需要重视“数学逻辑推理”部分，既要多做一些练习题，也要掌握高频词汇，避免误读题意。
下面列举一些AEAS数学逻辑推理练习题，考生可以使用这些题目锻炼一下自己的脑力，学会转换思维、逆向思考等多种解题技巧。
1、If you switch the position of A's age number, you get B's age; The age of C is twice the difference between A and B; B is 10 times as old as C.What are the ages of A, B and C?
2、One day, Coco went to the zoo alone to watch animals. He saw only three animals, monkey, panda and lion. The total number of these interspecies ranged from 26 to 32.According to the following situation：
①The total number of monkeys and lions is more than the number of pandas；②There are more than twice as many pandas and lions as monkeys；③There are more than three times as many monkeys and pandas as lions；④Pandas don't have twice the number of lions.
How many are there in each of the three animals?
The Answer:
1、 If the position of the age number of A is reversed, it is the age of B. The difference between the two ages of AB =9, and the difference between the two ages of C is twice that between A and B, C=4.5(4 and A half years old).B is 10 times as old as C. So B=54、A = 54.
2、 Let the number of monkeys be a, the number of pandas be b, and the number of lions be c.The first condition, it's easy to know, 2c；The second condition is 3a；According to the third condition, 4b；According to the fourth condition, c<2b; There are 2 c < 4 b.
If x is equal to 32, then b is at most 7, and c is at most 13, according to 3a. So if x is equal to 3b, then b is at most 7, c is at most 13, and a is at most 9. The sum is at most 29.So if x is equal to 29, then c is at most 7, b is at most 13, and a is at most 9, then b is 13, c is 7, and a is 9, which satisfies all of our conditions. There are 9 monkeys, 13 pandas and 7 lions.
以下是AEAS数学推理样题，考生可以借此实战演练：
01、Consider the following 2 logical statements:
（1）If the length of XY is 4, then the length of YZ is 7.（2）The length of YZ is NOT 7.
If these statements are both true, then the length of:
F. XY is NOT 4
G. XY is 7
H. YZ is 4
J. YZ is NOT 4
K. YZ is 7
02、If 3x=6x-15 ；then x + 8=
A. 5
B. 10
C. 11
D. 12
E. 13
03、 What will it cost to carpet a room with indoor/outdoor carpet if the room is 10 feet wide and 12 feet long? The carpet costs 12.51 per square yard.
A. $166.80
B. $175.90
C. $184.30
D. $189.90
E. $192.20
04、 If the perimeter of a rectangular house is 44 yards, and the length is 36 feet, what is the width of the house?
A. 10 yards
B. 18 yards
C. 28 feet
D. 32 feet
E. 36 yards
05、 What is the volume of the following cylinder?
A. 210.91
B. 226.20
C. 75.36
D. 904.32
E. 28.26
06、 What is the volume of a cube whose width is 5 inches?
A. 15 cubic inches
B. 25 cubic inches
C. 64 cubic inches
D. 100 cubic inches
E. 125 cubic inches
07、Sally has three pieces of material. The first piece is 1 yd. 2 ft.6 in. long, the second piece is 2 yd. 1 ft. 5 in long, and the third piece is 4 yd. 2ft.8in long. How much material does Sally have?
A. 7 yd. 1 ft. 8 in.
B. 8 yd. 4 ft. 4 in.
C. 8 yd. 11 in.
D. 9 yd. 7 in.
E. 10 yd.
08、 A can´s diameter is 3 inches, and its height is 8 inches. What is the volume of the can?
A. 50.30
B. 56.55
C. 75.68
D. 113.04
E. 226.08
09、 If the area of a square flowerbed is 16 square feet, then how many feet is the perimeter of the flowerbed?
A. 4
B. 12
C. 16
D. 20
E. 24
10、 Of the following units which would be more likely used to measure the amount of water in a bathtub?
A. kilograms
B. liters
C. milliliters
D. centigrams
E. volts
11、 If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following?
A. 5 1/16 inch highlighter
B. 3 1/8 inch jewelry box
C. 2 3/4 inch lipstick
D. 2 3/16 inch staple remover
E. 4 1/2 inch calculator
12、 What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?
A. 0.9WL
B. 0.3WL
C. 0.1WL
D. 9WL
E. 3WL
KEYS:1. (A) 2. (A) 3. (B) 4. (E) 5. (D) 6. (B) 7. (C) 8. (B) 9. (D) 10. (A)
AEAS数学考试高频词汇也很重要，小编整理了一些供各位考生参考：
有关分数和小数
proper fraction 真分数、improper fraction 假分数、mixed number 带分数、tenths unit 十分位、vulgar fraction、common fraction 普通分数、simple fraction 简分数、complex fraction 繁分数、numerator 分子、denominator 分母、(least)common denominator (最小)公分母、quarter 四分之一、decimal fraction 纯小数、infinite decimal 无穷小数、recurring decimal 循环小数
基本数学概念
arithmetic mean 算术平均值、weighted average 加权平均值、geometric mean 几何平均数、exponent 指数，幂、base 乘幂的底数,底边、cube 立方数，立方体、square root 平方根、cube root 立方根、common logarithm 常用对数、digit 数字、constant 常数、variable 变量、inverse function 反函数、complementary function 余函数、linear 一次的，线性的、factorization 因式分解、absolute value 绝对值，e.g.|-32|=32、round off 四舍五入
有关数论
natural number 自然数、positive number 正数、negative number 负数、odd integer, odd number 奇数、even integer, even number 偶数、integer, whole number 整数、positive whole number 正整数、negative whole number 负整数、consecutive number 连续整数、real number, rational number 实数,有理数、irrational(number) 无理数、inverse倒数、composite number 合数e.g.4,6,8,9,10,12,14,15……、prime number 质数e.g.2,3,5,7,11,13,15……、reciprocal 倒数、common divisor 公约数、multiple 倍数、(least)common multiple (最小)公倍数、ordinary scale, decimal scale 十进制、tens 十位、units 个位、mode 众数、median 中数
数列
arithmetic progression(sequence) 等差数列、geometric progression(sequence) 等比数列
其它
approximate 近似、ordinal 序数、direct proportion 正比、distinct 不同的、estimation 估计，近似、parentheses 括号、proportion 比例、combination 组合、table 表格、trigonometric function 三角函数、Length 长度、、Area 面积、Perimeter/Circumference 周长、Symmetry 对称、Diagonal 对角线、Isosceles 等腰的、Equilateral 等边的、Circle 圆形、Radius 半径（r）、Diameter 直径（d）
运算方法：
Plus/add 加（+）、Substract/minus 减（-）、Multiply/times 乘（*）、Divided by 除（/）
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