Doing Further Maths? Feeling a bit left out by all of these other, non-FP1 quizzes? Well, let me put that slightly right. Here are a few questions on complex numbers for you.

Start

Congratulations - you have completed FP1 Complex Numbers Quiz.

You scored %%SCORE%% out of %%TOTAL%%.

Your performance has been rated as %%RATING%%

Your answers are highlighted below.

Question 1

If $z = -\sqrt{3} - i$, what is $|z|$?

A

$\frac{-5\pi}{6}

B

2

C

$\frac{\sqrt3}3$

D

-2

E

$\frac{\pi}{6}$

Question 2

If $z = 3 + 5i$ and $w = 2 - i$, what is $z - w$?

A

None of these

B

$1 + 6i$

C

$5 + 4i$

D

$11 - 7i$

E

$\frac{1 +13i}{5}$

Question 3

If $z = -\sqrt{3} - i$, what is $\arg(z)$?

A

-2

B

$\frac{-5\pi}{6}$

C

$\frac{\sqrt{3}}{3}$

D

2

E

$\frac{\pi}{6}$

Question 4

If $z = 3 + 5i$ and $w = 2 - i$, what is $z/w$?

A

$\frac{1 +13i}{5}$

B

$5 + 4i$

C

$11 - 7i$

D

$1 + 6i$

E

None of these

Question 5

What is $\sqrt{5 - 12i}$?

A

$\pm 3 \mp 2i$

B

$3 - 2i$

C

$-3 - 2i$

D

None of the above

E

$\pm 3 \pm 2i$

Question 6

If $z = 3 + 5i$ and $w = 2 - i$, what is $zw$?

A

$11 + 7i$

B

$1 + 6i$

C

$\frac{1 +13i}{5}$

D

$5 + 4i$

E

None of these

Question 7

What type of shape is the locus of points satisfying $|z - 3| = |z + i|$?

A

A line

B

None of the above

C

Two circles

D

A half-line

E

A circle

Once you are finished, click the button below. Any items you have not completed will be marked incorrect.
Get Results

There are 7 questions to complete.

←

List

→

Return

Shaded items are complete.

1

2

3

4

5

6

7

End

Return

You have completed

questions

question

Your score is

Correct

Wrong

Partial-Credit

You have not finished your quiz. If you leave this page, your progress will be lost.

Correct Answer

You Selected

Not Attempted

Final Score on Quiz

Attempted Questions Correct

Attempted Questions Wrong

Questions Not Attempted

Total Questions on Quiz

Question Details

Results

Date

Score

Hint

Time allowed

minutes

seconds

Time used

Answer Choice(s) Selected

Question Text

All done

Need more practice!

Keep trying!

Not bad!

Good work!

Perfect!

Colin

Colin is a Weymouth maths tutor, author of several Maths For Dummies books and A-level maths guides. He started Flying Colours Maths in 2008.
He lives with an espresso pot and nothing to prove.

## MathbloggingAll

FP1 Complex Numbers quiz http://t.co/6mwk1dEKov

## Joshua Zucker

You have a typo in one of your questions: it should be (1+13i)/5, not /3.

## Colin

Thanks! Have put it right, I hope!

## Joe

The answer to question 1 is slightly wrong. It should be [correct answer], as opposed to [wrong answer]. Hope this helps.

## Colin

Thanks, Joe, you’re quite right! I’ve fixed that now.