FU Berlin - Block Course Mathematics for Geologists

Online Quiz

This online quiz is intended for all students starting their Bachelor studies in the field of Geological Sciences at the Freie Universität Berlin.
The quiz can be used for students to evaluate their mathematical skills needed for their studies.
Students with more than three wrong answers are advised to visit the "Brückenkurs Mathematik" on a voluntary basis.

Empty answers are valid and are counted as wrong answers.

1) 5x + 3 + 11 - 7x + 3x2 = ...

A: 14 - 2x + 3x2
B: 15x2


2) 5*3*2 = ...

A: 30
B: 10


3) 20/6 - 7/3 = ...

A: 6/6
B: 1
C: 13/3


4) 6+3/3+3 = ...

A: 2
B: 3/2


5) √9 = ...

A: 4.5
B: 3


6) √-4 = ...

A: 2i
B: -2


7) a3 + a5 = ...

A: 2 a4
B: a3 + a5


8) a2 * a3 = ...

A: a6
B: a5


9) a1/2 + a3/2 = ...

A: a2
B: √a(1+a)


10) ln(1) = ...

A: 0
B: 1
C: e


11) log10(100) = ...

A: 2
B: 10


12) ln(a)+ln(b) = ...

A: ln(a+b)
B: ln(a*b)


13) x2 - 1 = ...

A: (x+1)(x+1)
B: (x-1)(x-1)
C: (x+1)(x-1)


14) (5+a)*(3-x) = ...

A: 15-ax
B: 8+a-x
C: 15+3a-5x-ax


15) -5 + 10x = x2 + 20   ⇒   x = ...

A: 5
B: -15
C: no solution


16) 12 students eat 18 slices of pizza. How many slices would you need for 15 students?

A: x=12/18*15
B: x=12/15*18
C: x=15/12*18


17) At a bakery, there are the following offers to buy donuts:

How many donuts would you buy to have the best offer?

A: 1
B: 3
C: 7
D: 10


18) 5! = ...

A: 5
B: 15
C: 120


19) π = ...

A: 90°
B: 180°
C: 360°


20) cos(π) = ...

A: 1
B: 0
C: -1


21) sin(π/2) = ...

A: 1
B: 0
C: -1


22) d/dx (x5) = ...

A: 5x4
B: x4
C: 5x


23) d/dx (sin(x)) = ...

A: -cos(x)
B: cos(x)
C: sin(x)cos(x)


24) ∫ x dx = ...

A: x2/2 + C
B: 1 + C


25) ∫ ex dx = ...

A: ex-1
B: ex + C
C: xex + C