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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,224 prompts matching "Rationalising a denominator with a surd and integer"

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

Show all working: vectors and forces combined question

I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force

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Show all working: calculus and stationary points multi-part

I am in SS 3. Give me a multi-part Cambridge Additional Mathematics style question: part (

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WAEC Further Mathematics: complex numbers and Argand diagram question

I am in SS 3. Give me a WAEC Further Mathematics style question requiring me to plot a com

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Worked Example: Collecting like surds in a single sum

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on collec

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Practice: Converting between index form and logarithm form

Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet

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Explain Back: The laws of logarithms for a product and for a quotient

I have just studied the laws of logarithms for a product and for a quotient in my SS3 Furt

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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Worked Example: The discriminant, and what each of its three cases means

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Practice: Finding alpha minus beta from the sum and the product

Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding alpha

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Common Mistakes: Adding, subtracting and multiplying two polynomials

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Worked Example: The difference between a permutation and a combination

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the di

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Explain Back: Choosing a committee with a stated number from each of two groups

I have just studied choosing a committee with a stated number from each of two groups in m

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Show All Working: Counting the handshakes, or the lines joining n points

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on counting t

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Show All Working: The half angle formulae and the t-substitution

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on the half a

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Worked Example: Solving cos x equals a negative value, and finding both solutions

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on solvin

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Worked Example: The shape, period and range of the cosine curve

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Show All Working: The intersection of a circle and a straight line

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on the inters

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Practice: The ellipse in standard form, and its two axes

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the ellipse in

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