對于想要前往澳洲留學的學生來說，AEAS是必須要參加的一門考試，從考生的反饋中，我們得知該測試主要包括三大部分——英語、數學、綜合，分別考察學生的不同知識、能力。其中，英語部分（不同年級的考試時長不同）主要考察學生對詞匯、閱讀、聽力、口語等知識的掌握情況以及英語運用能力；數學部分（45分鐘）以圖表、多項選擇題為主，考察學生的數理常識以及邏輯推理能力；綜合部分又稱為非語言綜合能力測試（30分鐘），題目中不包含任何文字，考察學生的智商、個性等。
雖然我國學生在數學方面具有絕對優勢，但是面對AEAS考試的數學邏輯推理卻不一定能發揮出最大優勢，難點在于對專用詞匯的不熟悉，很可能導致學生曲解題目的含義，無法得出正確答案。在這里，小編要提醒各位考生，如果在考場上遇到不熟悉的術語或運算符號時，可以向監考老師請求幫助，該老師會盡可能使用學生的母語向學生解釋題目的意思，這對學生答題會大有益處。
此外，AEAS數學考試的評分情況也比較特別：評分老師首先會給出一個原始分(Raw Score)，當考生答對一題加一分，若答錯一題減0.25分。當然，考生也可以選擇不答，不答的題目既不加分也不減分。最后在成績單上會將學生的原始分轉化為九分制的標準分(Stanine)。很多澳洲私校會對申請學生的AEAS數學邏輯分數有要求，例如維州的優秀私校要求學生AEAS數學分數一定要達到7分，若未達標，不少墨爾本學校會直接拒絕申請。因此，考生在備考階段需要重視“數學邏輯推理”部分，既要多做一些練習題，也要掌握高頻詞匯，避免誤讀題意。
下面列舉一些AEAS數學邏輯推理練習題，考生可以使用這些題目鍛煉一下自己的腦力，學會轉換思維、逆向思考等多種解題技巧。
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數學推理樣題，考生可以借此實戰演練：
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數學考試高頻詞匯也很重要，小編整理了一些供各位考生參考：
有關分數和小數
proper fraction 真分數、improper fraction 假分數、mixed number 帶分數、tenths unit 十分位、vulgar fraction、common fraction 普通分數、simple fraction 簡分數、complex fraction 繁分數、numerator 分子、denominator 分母、(least)common denominator (最小)公分母、quarter 四分之一、decimal fraction 純小數、infinite decimal 無窮小數、recurring decimal 循環小數
基本數學概念
arithmetic mean 算術平均值、weighted average 加權平均值、geometric mean 幾何平均數、exponent 指數，冪、base 乘冪的底數,底邊、cube 立方數，立方體、square root 平方根、cube root 立方根、common logarithm 常用對數、digit 數字、constant 常數、variable 變量、inverse function 反函數、complementary function 余函數、linear 一次的，線性的、factorization 因式分解、absolute value 絕對值，e.g.|-32|=32、round off 四舍五入
有關數論
natural number 自然數、positive number 正數、negative number 負數、odd integer, odd number 奇數、even integer, even number 偶數、integer, whole number 整數、positive whole number 正整數、negative whole number 負整數、consecutive number 連續整數、real number, rational number 實數,有理數、irrational(number) 無理數、inverse倒數、composite number 合數e.g.4,6,8,9,10,12,14,15……、prime number 質數e.g.2,3,5,7,11,13,15……、reciprocal 倒數、common divisor 公約數、multiple 倍數、(least)common multiple (最小)公倍數、ordinary scale, decimal scale 十進制、tens 十位、units 個位、mode 眾數、median 中數
數列
arithmetic progression(sequence) 等差數列、geometric progression(sequence) 等比數列
其它
approximate 近似、ordinal 序數、direct proportion 正比、distinct 不同的、estimation 估計，近似、parentheses 括號、proportion 比例、combination 組合、table 表格、trigonometric function 三角函數、Length 長度、、Area 面積、Perimeter/Circumference 周長、Symmetry 對稱、Diagonal 對角線、Isosceles 等腰的、Equilateral 等邊的、Circle 圓形、Radius 半徑（r）、Diameter 直徑（d）
運算方法：
Plus/add 加（+）、Substract/minus 減（-）、Multiply/times 乘（*）、Divided by 除（/）
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