Properties and Arithmetic (AQA A-Level Further Maths): Quizzes

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Properties and Arithmetic
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10 questions from this quiz

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What is the value of i2i^2?

1-1

Express 16\sqrt{-16} in terms of ii.

4i4i

What is the imaginary part of 3+5i3 + 5i?

55

Simplify 2(3+4i)(1+2i)2(3 + 4i) - (1 + 2i).

5+6i5 + 6i

What is the complex conjugate of 27i2 - 7i?

2+7i2 + 7i

Calculate (2+i)(3+i)(2 + i)(3 + i) in the form a+bia + bi.

5+5i5 + 5i

To simplify 13+2i\frac{1}{3+2i}, multiply by which conjugate?

32i3 - 2i

For (a+3i)(2i)=5+bi(a+3i)(2-i)=5+bi, what strategy finds aa and bb?

Equate real & imaginary parts separately

What is (a+bi)(abi)(a+bi)(a-bi) equal to?

a2+b2a^2 + b^2

Complex number answers should always be written in which form?

a+bia + bi with real part first

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