Complex Numbers (Uppersixth Art Pure Maths)

Froggy Jumps

Parties jouées 3 %Précision 20 Temps moyen 03:21

Créer une copie

À propos de cette activité

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

Créé par

YAKILI LMS

Cameroon

Téléchargez la version pour jouer sur papier

Créez votre propre jeu gratuite à partir de notre créateur de jeu

Affrontez vos amis pour voir qui obtient le meilleur score dans ce jeu

Créer un défi

Ethos, Pathos, and Logos Quiz

Kristine Vester

United States

(131)

Test your knowledge of ethos, pathos, and logos with these 10 questions on examples of persuasive techniques.
The Integumentary System

Breanna Nesbitt

United States

(58)

Functions and Structures of the skin
Bill of Rights Game - The Constitutionalist

Doni The Don

United States

(90)

Test your knowledge on the Bill of Rights. A fun way to test your knowledge and focus on where you need to improve.
Phlebotomy Order of Draw Quiz

Pamela Chapman

United States

(60)

Test your knowledge of the order of draw in Phlebotomy with these 10 questions!
pizza

Lorelay Tyana

Romania

(262)

joc despre pizza

		%
	Anonyme	%
		%
		%

Imprimez votre jeu

Complex Numbers (Uppersixth Art Pure Maths)


Froggy Jumps Complex Numbers (Uppersixth Art Pure Maths)Version en ligne Test your knowledge on the properties of the imaginary unit i in pure mathematics! par YAKILI LMS 1 What is the value of i squared? a -1 b 1 c 0 2 What does i represent in mathematics? a A real number b A complex number c The imaginary unit 3 Which equation defines i? a i^2 + 1 = 0 b i^2 + 2 = 0 c i^2 - 1 = 0 4 What is i cubed (i^3)? a i b 1 c -i 5 What is the value of i to the fourth power (i^4)? a -1 b 1 c 0 6 What is the pattern of powers of i? a i, -1, -i, 1 b 0, i, 1, -1 c 1, i, -1, -i 7 What is the modulus of i? a √2 b 1 c 0 8 What is the argument of i? a π b 0 c π/2 9 Which of the following is a property of i? a i is an integer b i is a rational number c i is not a real number 10 In which field of mathematics is i primarily used? a Statistics b Geometry c Complex analysis 11 What is the conjugate of the complex number 3 + 4i? a 3 - 4i b 3 + 4i c -3 + 4i 12 If z = a + bi, what is the conjugate of z? a a - bi b a + bi c -a + bi 13 How do you denote the conjugate of a complex number z? a z* b z^2 c z' 14 What is the product of a complex number and its conjugate? a ab b a^2 + b^2 c a^2 - b^2 15 Which of the following is a property of complex conjugates? a The conjugate is always positive. b The product is always imaginary. c The sum of a complex number and its conjugate is real. 16 What is the conjugate of -2 - 3i? a 2 - 3i b -2 + 3i c -2 - 3i 17 If z = 5 + 0i, what is its conjugate? a 0 + 5i b 5 + 0i c -5 + 0i 18 What happens to the imaginary part when taking the conjugate? a It remains the same. b It changes sign. c It doubles. 19 If z = 4 + 2i, what is z + z? a 6 + 4i b 8 c 4 + 2i 20 What is the conjugate of the complex number 0 + bi? a 0 + bi b bi c 0 - bi 21 What is the sum of (3 + 4i) and (1 + 2i)? a 2 + 2i b 3 + 5i c 4 + 6i 22 How do you subtract (5 + 3i) from (2 + 7i)? a -3 + 4i b 3 + 10i c 7 + 2i 23 What is the result of (2 + 3i) + (4 - 2i)? a 6 + i b 2 + 5i c 6 + 5i 24 If z1 = 1 + i and z2 = 2 - 3i, what is z1 + z2? a 3 + 2i b 1 - 2i c 3 - 2i 25 What is (7 + 5i) - (3 + 2i)? a 10 + 7i b 4 + 2i c 4 + 3i 26 Which of the following is the correct form for adding complex numbers? a Multiply both parts together. b Combine real parts and imaginary parts separately. c Add only the imaginary parts. 27 What is the sum of (0 + 0i) and (0 + 0i)? a 0 + i b 0 + 0i c 0 + 1i 28 When subtracting (a + bi) from (c + di), what is the result? a (c + a) + (d + b)i b (a - c) + (b - d)i c (c - a) + (d - b)i 29 What is the result of (1 + 2i) + (3 + 4i) - (2 + 3i)? a 1 + 2i b 2 + 3i c 3 + 4i 30 If z1 = 3 + 2i and z2 = 1 + 5i, what is z1 - z2? a 2 - 3i b 4 + 3i c 2 + 3i 31 What is the result of multiplying the complex number 3 + 4i by the scalar 2? a 3 + 8i b 5 + 6i c 6 + 8i 32 When multiplying a complex number by a scalar, what happens to the modulus? a It is squared. b It is multiplied by the scalar. c It remains unchanged. 33 If z = 1 + 2i, what is 3z? a 1 + 6i b 3 + 2i c 3 + 6i 34 What is the scalar in the expression 5(2 + 3i)? a 2 b 3 c 5 35 How do you express the multiplication of a complex number by a scalar? a k(a + bi) = ka + kbi b k(a + bi) = a + bi c k(a + bi) = k^2(a + bi) 36 What is the imaginary part of 4(1 + 2i)? a 2 b 4 c 8 37 If k = -1 and z = 3 + 4i, what is kz? a 3 + 4i b -3 - 4i c -3 + 4i 38 What happens to the angle of a complex number when multiplied by a positive scalar? a It becomes negative. b It remains the same. c It doubles. 39 If z = 2 - 3i and k = 0, what is kz? a 0 b undefined c 2 - 3i 40 What is the result of multiplying the complex number 0 + 1i by the scalar 5? a 5 + 0i b 1 + 5i c 0 + 5i 41 What is the product of (3 + 4i) and (1 + 2i)? a 7 + 8i b 1 + 10i c -5 + 14i 42 When multiplying complex numbers, what formula is used? a Pythagorean theorem b Quadratic formula c Distributive property (FOIL) 43 What is the result of (a + bi)(c + di)? a ac + adi + bci + bdi^2 b ac - bd + (ad - bc)i c ac + bd + (ad + bc)i 44 What does i represent in complex numbers? a The real unit, √1 b The zero unit, 0 c The imaginary unit, √-1 45 What is the product of (2 - 3i) and (4 + i)? a 8 - 12i b 11 - 10i c 6 + 5i 46 How do you simplify i^2 in complex multiplication? a i^2 = 0 b i^2 = -1 c i^2 = 1 47 What is the real part of the product (1 + i)(1 - i)? a 2 b 1 c 0 48 If z1 = 2 + 3i and z2 = 4 - i, what is z1 z2? a 8 + 5i b 11 + 10i c 7 + 9i 49 What is the imaginary part of (5 + 2i)(3 + 4i)? a 15 b 26 c 20 50 What happens to the imaginary unit when squared? a It remains i. b It becomes 1. c It becomes -1.

Complex Numbers (Uppersixth Art Pure Maths)

Froggy Jumps

À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

Top Jeux

Froggy Jumps

Ethos, Pathos, and Logos Quiz

Froggy Jumps

The Integumentary System

Froggy Jumps

Bill of Rights Game - The Constitutionalist

Froggy Jumps

Phlebotomy Order of Draw Quiz

Froggy Jumps

pizza

Froggy Jumps

Complex Numbers (Uppersixth Art Pure Maths)Version en ligne

par YAKILI LMS

What is the value of i squared?

What does i represent in mathematics?

Which equation defines i?

What is i cubed (i^3)?

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

What is the pattern of powers of i?

What is the modulus of i?

What is the argument of i?

Which of the following is a property of i?

In which field of mathematics is i primarily used?

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

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

How do you denote the conjugate of a complex number z?

What is the product of a complex number and its conjugate?

Which of the following is a property of complex conjugates?

What is the conjugate of -2 - 3i?

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

What happens to the imaginary part when taking the conjugate?

If z = 4 + 2i, what is z + z*?

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

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

How do you subtract (5 + 3i) from (2 + 7i)?

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

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

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

Which of the following is the correct form for adding complex numbers?

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

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

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

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

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

When multiplying a complex number by a scalar, what happens to the modulus?

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

What is the scalar in the expression 5(2 + 3i)?

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

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

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

What happens to the angle of a complex number when multiplied by a positive scalar?

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

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

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

When multiplying complex numbers, what formula is used?

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

What does i represent in complex numbers?

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

How do you simplify i^2 in complex multiplication?

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

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

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

What happens to the imaginary unit when squared?