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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,316 prompts matching "A conjugate where the surd term comes first"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Vector addition, subtraction and magnitude #4

I am in SS 3. Give me a vector problem where a = 2i + 3j - 6k, find the magnitude of a. Le

Vector addition, subtraction and magnitude #5

I am in SS 3. Give me a vector problem where a = 4i - 3j, find a unit vector in the direct

Scalar (dot) and vector (cross) product practice #1

I am in SS 3. Give me a vector problem where a = 2i + 3j and b = 4i - j, find a . b and th

Scalar (dot) and vector (cross) product practice #2

I am in SS 3. Give me a vector problem where a = i - 2j + 3k and b = 2i + j - k, find a .

Scalar (dot) and vector (cross) product practice #3

I am in SS 3. Give me a vector problem where a = 3i - j + 2k and b = i + 2j - k, find a x

Scalar (dot) and vector (cross) product practice #4

I am in SS 3. Give me a vector problem where a = 2i + j and b = -i + 4j, find the angle be

Position vectors and displacement between points #1

I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto

Position vectors and displacement between points #2

I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v

Position vectors and displacement between points #3

I am in SS 3. Give me a vectors problem where I have position vectors of P and Q, find the

Position vectors and displacement between points #4

I am in SS 3. Give me a vectors problem where I have a point dividing a line AB in a given

Complex number arithmetic practice #1

I am in SS 3. Give me a complex number problem where z1 = 3 + 2i and z2 = 1 - 4i, find z1

Complex number arithmetic practice #2

I am in SS 3. Give me a complex number problem where z1 = 2 - i and z2 = 4 + 3i, find z1 x

Complex number arithmetic practice #3

I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)

Complex number arithmetic practice #5

I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1

Solve a quadratic equation with complex roots #1

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c

Solve a quadratic equation with complex roots #2

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0

Solve a quadratic equation with complex roots #3

I am in SS 3. Give me a quadratic equation problem where I need to solve 2x^2 + x + 3 = 0

Explain equal complex numbers

I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal

Differentiation practice question #1

I am in SS 3. Give me a differentiation problem where y = x^3 - 4x^2 + 2x, find dy/dx. Let

Differentiation practice question #2

I am in SS 3. Give me a differentiation problem where y = (2x+1)(x-3), find dy/dx using th

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