International student entrance test questions

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Q1:Name

填空1

Q2:Sex

Man

Woman

Q3:Number

填空1

Q4:Mailbox

填空1

Q5: Evaluate the following expression1/3-1/7+1/2

A.31/42

B.29/42

C.− 1/21

D. 41/42

Q6:Evaluate (-2/3)[数学公式]

A.9/4

B.4/9

C.1/4

D.-9/4

Q7:Evaluate the expression e2ln 8 without using a calculator.

A.64

B.ln64

C.ln8

D.16

Q8: A right-angled triangle has shorter side lengths exactly [数学公式1][数学公式2][数学公式3]and 2xy units respectively, where x and y are positive real numbers such that y is greater than x . Find an exact expression for the length of the hypotenuse.

A.[数学公式]

B.[数学公式]

C.[数学公式]

D.[数学公式]

Q9:Test the equation [数学公式]for symmetry to determine the correct graph.

A.[图片]

B.[图片]

C.[图片]

D.[图片]

Q10:An equation of the line passing through the points P (2 , 3) and Q (3 , 8) in the xy-plane is which one of the following?

A. y = −5x +13

B. y = 5x − 7

C. y = −5x + 23

D. y = x + 5

Q11:Which one of the following equations describes the circle in the xy-plane with centre P (−2 , 2) and radius 3 units?

A.[数学公式]

B.[数学公式]

C.[数学公式]

D.[数学公式]

Q12: Find the domain and range of f (x) = [数学公式]

A. Domain: [−3 , 3] , Range: [−3 , 0]

B.Domain: [−9 , 9], Range: [−9 , 9]

C.Domain: [−3 , 3] , Range: [0 , 3]

D.Domain: [−3 , 3] , Range: all real numbers

Q13:Find the exact value of sin([数学公式1]) and con([数学公式2])

A.[数学公式]

B.[数学公式]

C.[数学公式]

D.[数学公式]

Q14: Sketch the graph of the function [数学公式]

A.[图片]

B.[图片]

C.[图片]

D.[图片]

International student entrance test questions

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