Pre test of Math for Cambridge

Given the following statements about exponent properties.
Among the statements, the correct statements are ... .

• I and II

• II and III

• III and IV

• IV and V

• V only

• -3

• -2

• 1.5

• 2

• 3

Which of following expression represents the correct statements?

• a= (2 -5)

• a= (-2 -5)

• a= (2 5)

• b = (-3 2)

• b = (3 -2)

the result of |-8|-|4|+|-3| is ... .

• -15

• -7

• 1

• 7

• 15

the function of the graph is ... .

• y=sin 4x

• y=4 sin 4x

• y= -4 sin 4x

• y=sin (-4x)

• y=sin (x+4)

Given function f(x)=-x+3 The value of f(-x) is ... .

• x+3

• -x+3

• -x-3

• x-3

• -3x

• A

• B

• C

• D

• E

• 157

• 100

• 57

• 10

• 1

Do you know about differentiation or derivative?
what is the first derivative of y=3x² -6?

• y'=6

• y'=6x-6

• y'=0

• y'=6x²

• y'=6x

The coefficient of x³ in the expansions of (2x-1)⁴ is ... .

• 4

• -8

• -32

• 32

• 8