Free Printable M5 T2 Midterm Review

Worksheets

M5 T2 Midterm Review

Total questions: 40

Worksheet time: 29mins

Name

Class

Date

A complex number can be expressed as a+bi. What does a represent?

the imaginary part of the complex number

depends on the sign of the number

the real part of the complex number

the square root of the number

(5 − 3i) + (-6 + 2i)

-1 -1i

11 + 5i

-11 − 5i

11 − 1i

Another way to express $\sqrt{-1}$ is?

-1

Any number that can be written in the form a+bi.

Combination

Complex Numbers

Logarithm

Summation Notation

Simplify:
√-108

3i√6

3i√20

6i√3

20i√3

i⁶⁶

-1

-i

What complex number is represented by the graph?

-3-i

-3+i

1+3i

1-3i

Simplify

(-10+6i)/17

(1+50i)/61

(-23+36i)/25

(-21+33i)/34

Simplify:
-3i(4 + 2i)

6 - 12i

6 + 12i

-12i - 6i²

-12i + 6i²

10.

What is the conjugate of -2+5i?

-5+2i

-2-5i

2+5i

5-2i

11.

The product of the following complex number in polar form √5(cos130^o + i sin130^o) ⋅ √45(cos15^o + i sin15^o) is...

50(cos145^o + i sin145^o)

15(cos145^o + i sin145^o)

81(cos100^o + i sin100^o)

All Options are Correct

12.

Let w=-√3/2 + 1/2 i calculate the modulus and argument.

3, 120^o

5, 270^o

1, 150^o

Not Possible

13.

What quadrant would the point in polar form land in?
4 ( cos π /3 + i sin π /3)

Quadrant 4

Quadrant 1

Quadrant 2

Quadrant 3

14.

Find the indicated power using DeMoivre's Theorem

72 - 72√3i

- 72√3 + 72i

- 72√2 + 72√2i

-72 + 72√3i

15.

Express the point in polar form in rectangular form.
4 ( cos π /3 + i sin π /3)

2 + 2√3 i

2 + √3 i

2 - 2√3 i

-2 + 2√3 i

16.

Convert (1 + √3i) to Polar (cis) Form.

2 cis(π/6)

2 cis(π/3)

4 cis(π/6)

4 cis(π/3)

17.

(3) Which is a possible value of $z^{\frac{1}{4}}$ if $z\ =\ 16\ \left(\cos\ 120\degree\ +\ i\ \sin\ 120\degree\right)$ ?

4 cis 30^o

4 cis 120^o

-2 cis 210^o

2 cis 330^o

18.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

19.

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

180

20.

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

3125

120

21.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

125

22.

₂₀P₂

380

6840

116280

23.

At the middle school, a student takes 4 core classes a day. There are 6 different core classes offered. How many different combinations of classes are there?

720

360

24.

Choosing 3 toppings for your sundae out of a list of 15.

Permutation

Combination

Neither

25.

How many ways can you listen to 3 songs from a CD that has 12 selections?

1320

26.

Picking a President, Vice-President, and Secretary from a group of 12.

Permutation

Combination

27.

Permutation or Combination: A group of 40 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

permutation

combination

28.

In how many distinct ways can the letters of the word SCIENCE be arranged?

5040

1260

2520

1.75

29.

6! - 3!

714

120

30.

Determine whether the question would be a permutation or combination: To complete a quiz, you must answer 3 questions from a list of 6 questions. In how many ways can you complete the quiz?

Permutation

Combination

Neither

31.

Find the number of different ways that a family of 9 can be seated around a circular table with 9 chairs.

5 040

40 320

362 880

3 628 880

32.

3. Which of the following illustrates permutation?

forming a committee of councilors

selecting 10 questions to answer out 15 questions in a test

choosing 2 literature books to buy from avariety of choices

assigning rooms to conference participants

33.

What do you call the product of positive integer 𝑛 and all positive integers less than it?

multiples of 𝑛

powers of 𝑛

𝑛 factorial

𝑛- factors

34.

Solve for the value of 𝑟 if 𝑃(9, 𝑟) = 15120.

35.

If nC2=28, then what is the value of n?

36.

$Evaluate\ 9_{C_4}$

124

126

125

127

37.

Five people are seated at a round table. Two insist on sitting next to each other. How many ways can the people be seated?

12 ways

24 ways

48 ways

96 ways

38.

A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how many ways can 6 balls be chosen if there should be 2 balls of each color?

46 ways

720 ways

1440 ways

3150 ways

39.

In how many ways can you arrange 5 Math books, 4 Science books, and 3 English books on a shelf such that books of the same subject are kept together?

34 560

2880

103 680

17 280

40.

Which of the following expressions represents the permutation of 7 people seated on a circular dining table?

(7-1)!

(7-1)!/2

7P7

100 %

M5 T2 Midterm Review

Total questions: 40

Worksheet time: 29mins

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