10th
-
12th
grade

Mathematics

42%

accuracy

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4 years

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1. Multiple Choice
1 minute
1 pt

$i^3\left(\beta i-5\right)=$
$\beta+5i$
$\beta-5i$
$-\beta+5i$
$-\beta-5i$
2. Multiple Choice
1 minute
1 pt
The imaginary part of
$i+2i^2+3i^2+4i^4$
2
-2
0
1
3. Multiple Choice
45 seconds
1 pt
Which of the following expressions given the results in rational numbers?
$\frac{\sqrt{4}}{3}$
$\pi\times\frac{1}{\pi}$
$\frac{1}{9}+\frac{2}{3}$
4. Multiple Choice
30 seconds
1 pt
What are the real part and the imaginary part of the complex number 4i - 3 ?
Real: 3
Imaginary: 4
Real: -3
Imaginary: 4
Real: 4
Imaginary: 3
Real: 4
Imaginary: -3
5. Multiple Choice
1 minute
1 pt
Simplify the following expression
$\sqrt{-36}\sqrt{-18}\sqrt{-8}$
36i
-36i
72i
-72i
6. Multiple Choice
30 seconds
1 pt
What is the conjugate of 5 - 6i
$-5-6i$
$-5+6i$
$5-6i$
$5+6i$
7. Multiple Choice
1 minute
1 pt
If a and b are non-zero real numbers, which of teh following expressions must give the result(s) in real numbers?
$ai-bi$
$ai\div bi$
$\left(a+bi\right)\left(a-bi\right)$
8. Multiple Choice
2 minutes
1 pt
If m is a real number, then the imaginary part of
$\left(2-i\right)\left(2m+i\right)$ is
$2-2m$
$2m+1$
$2m-2$
$4m+1$
9. Fill in the Blank
2 minutes
1 pt
Simplify
$-\left(\frac{1}{1+i}-\frac{1}{1-i}\right)^{2017}$
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