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Complex Numbers (Uppersixth Art Pure Maths)

Froggy Jumps

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Played 17

About this activity

Test your knowledge on the properties of the imaginary unit i in pure mathematics!

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Malaysia
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Complex Numbers (Uppersixth Art Pure Maths)
 

Froggy Jumps

Complex Numbers (Uppersixth Art Pure Maths)Online version

Test your knowledge on the properties of the imaginary unit i in pure mathematics!

by EMMATH
1

What is the value of i squared?

2

What is i cubed (i^3)?

3

What is the value of i to the fourth power (i^4)?

4

Which of the following is a property of i?

5

What is the conjugate of the complex number 3 + 4i?

6

If z = a + bi, what is the conjugate of z?

7

What is the product of a complex number, z=a+bi and its conjugate?

8

What is the conjugate of -2 - 3i?

9

If z = 5 + 0i, what is its conjugate?

10

What is the conjugate of the complex number 0 + bi?

11

What is the sum of (3 + 4i) and (1 + 2i)?

12

(2 + 7i)-(5 + 3i)=

13

What is the result of (2 + 3i) + (4 - 2i)?

14

If z1 = 1 + i and z2 = 2 - 3i, what is z1 + z2?

15

What is (7 + 5i) - (3 + 2i)?

16

What is the sum of (0 + 0i) and (0 + 0i)?

17

When subtracting (a + bi) from (c + di), what is the result?

18

What is the result of (1 + 2i) + (3 + 4i) - (2 + 3i)?

19

If z1 = 3 + 2i and z2 = 1 + 5i, what is z1 - z2?

20

What is the result of multiplying the complex number 3 + 4i by the scalar 2?

21

If z = 1 + 2i, what is 3z?

22

How do you express the multiplication of a complex number by a scalar?

23

What is the imaginary part of 4(1 + 2i)?

24

If k = -1 and z = 3 + 4i, what is kz?

25

If z = 2 - 3i and k = 0, what is kz?

26

What is the result of multiplying the complex number 0 + 1i by the scalar 5?

27

What is the product of (3 + 4i) and (1 + 2i)?

28

What is the result of (a + bi)(c + di)?

29

What does i represent in complex numbers?

30

What is the product of (2 - 3i) and (4 + i)?

31

How do you simplify i^2 in complex multiplication?

32

What is the real part of the product (1 + i)(1 - i)?

33

If z1 = 2 + 3i and z2 = 4 - i, what is z1 x z2 ?

34

What is the imaginary part of (5 + 2i)(3 + 4i)?

35

What happens to the imaginary unit when squared?

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