FP1
Topic 3:
Complex numbers
A quick test
Check some basic facts on this topic by completing this multiple choice test. You can only
Reset the scores
once you have correctly answered all 10.
Correct:
Attempts:
% Correct:
1
The modulus of
1 - 2i
is
A
3
B
5
C
\sqrt{5}
D
\sqrt{-3}
E
\sqrt{3}
2
The modulus of
-4 + i
is
A
17
B
\sqrt{5}
C
\sqrt{3}
D
\sqrt{17} \quad
E
\sqrt{-16} \quad
3
(2-3i) + (1+i) =
A
3-i
B
3-2i
C
-2+i
D
-2+3i
E
3-4i
4
(2-3i) \times (1+i) =
A
2-3i
B
5-i
C
-1-i
D
3-2i
E
1-i
5
The complex conjugate of
3-2i
is
A
3-2i
B
2-3i
C
-3-2i
D
3+2i
E
2+3i
6
\displaystyle \frac{1+i}{i} =
A
1-i
B
1+i
C
-i-1
D
-i
E
i-1
7
\displaystyle \frac{1-i}{i} =
A
1-i
B
1+i
C
-i-1
D
-i
E
i-1
8
The argument of
1-i
is
A
0
B
-\frac{\pi}{4}
C
\frac{\pi}{4}
D
1
E
\frac{\pi}{2}
9
The argument of
-1+\sqrt{3}i
is
A
\frac{\pi}{3}
B
\frac{2\pi}{3}
C
-\frac{2\pi}{3}
D
-\frac{\pi}{3}
E
\frac{\pi}{4}
10
(2-3i) - (1+i) =
A
1-i
B
1-2i
C
1-4i
D
1+2i
E
1+4i
Summary
This page uses
jsMath
.
Note that you can get a better display of the maths by downloading special TeX fonts from
jsMath
. In the meantime, we will do the best we can with the fonts you have, but it may not be pretty and some equations may not be rendered correctly.
