A-Level Further Mathematics Practice Questions - A-Level Further Mathematics Exam - A-Level Further Mathematics Practice Questions

Question 1

What is the modulus of the complex number z = 3 + 4i?

5 7 25 1

Correct Answer:

Question 2

What is the argument (in radians, principal value) of z = -1 + i?

pi/4 3pi/4 -pi/4 5pi/4

Correct Answer:

3pi/4

Question 3

Express z = 1 + i sqrt(3) in polar form r*e^(i*theta) with theta in principal range.

2 e^(i pi/6) 2 e^(i pi/3) sqrt(2) e^(i pi/3) 2 e^(i pi/4)

Correct Answer:

2 e^(i pi/3)

Question 4

Using De Moivre's theorem, what is (cos(pi/6) + i sin(pi/6))^6?

-1 1 i -i

Correct Answer:

-1

Question 5

What are the three cube roots of unity?

1, i, -i 1, -1, i 1, e^(2pi i/3), e^(4pi i/3) 1, e^(pi i/3), e^(2pi i/3)

Correct Answer:

1, e^(2pi i/3), e^(4pi i/3)

Question 1

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Prepare with the A-Level Further Mathematics Practice Questions - A-Level Further Mathematics Exam practice quiz. This question bank includes 100 questions covering theta, matrix, find, form, and mean. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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A-Level Further Mathematics Practice Questions - A-Level Further Mathematics Exam

This practice set contains 100 questions from the matching question bank and focuses on theta, matrix, find, form, and mean. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

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A-Level Further Mathematics Practice Questions - A-Level Further Mathematics Exam

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