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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The inverse of a 2 by 2 matrix as one over the determinant times the adjoint"

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

Spot my mistake in a geometric progression

Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom

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Teach me what a complex number is

Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin

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Worked example: solving a quadratic with complex roots

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq

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Worked example: plotting a complex number on an Argand diagram

Act as my SS2 Further Maths tutor. Show me a full worked example of plotting a complex num

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Quiz me on complex number operations

Act as my SS2 Further Maths tutor. Quiz me with five questions on adding, subtracting, mul

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Spot my mistake multiplying two complex numbers in modulus-argument form

Act as my SS2 Further Mathematics tutor. Work a question on multiplying two complex number

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Spot my mistake dividing two complex numbers in modulus-argument form

Act as my SS2 Further Mathematics tutor. Work a question on dividing two complex numbers i

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WAEC question on matrices

Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question on ma

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Quiz me on vector operations

Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting, and

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Spot my mistake finding a vector's magnitude

Act as my SS2 Further Maths tutor. I calculated the magnitude of a vector but I think I ma

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Spot my mistake calculating standard deviation

Act as my SS2 Further Maths tutor. I calculated the standard deviation of a data set but I

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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Multi-part exam question on factorising trinomials

I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks

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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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