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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,305 prompts matching "Surds that cannot be combined at all"

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

Show that (sqrt3+1)^2 = 4+2sqrt3

I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that

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Prove that tanx + 1/tanx = 1/(sinx cosx)

I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu

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Structured question: surd equation with a solution to reject

I am in SS 3. Give me a structured surd equation question where squaring both sides introd

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Spot My Mistake: Orders that make a product possible one way round but not the other

Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos

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Explain Back: The rule that the transpose of a product reverses the order

I have just studied the rule that the transpose of a product reverses the order in my SS3

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Learn: Deciding whether a stated matrix calculation is possible at all

You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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

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Learn: Inertia, and what mass actually measures

You are my personal SS3 Further Mathematics tutor. Teach me inertia, and what mass actuall

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Explain Back: Showing that a system of concurrent forces is in equilibrium

I have just studied showing that a system of concurrent forces is in equilibrium in my SS3

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WAEC Prep: Why three non-parallel forces in equilibrium must be concurrent

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Practice: Using a binomial expansion to approximate a number

Act as my SS3 Further Mathematics tutor. Give me five practice questions on using a binomi

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Worked Example: The probability of no events at all in a Poisson distribution

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Practice: The sum of a complex number and its conjugate

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sum of a c

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Explain Back: The locus of a complex number at a fixed distance from a point

I have just studied the locus of a complex number at a fixed distance from a point in my S

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Order of matrices before multiplying

I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m

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Show all working: adding three matrices in one question

Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C

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Show all working: combined binomial and normal question

I am in SS 3. Give me a Cambridge Additional Mathematics style question that has a binomia

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Explain why a complex number times its conjugate is real

I have just studied why a complex number times its conjugate is real in my SS3 Further Mat

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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements

Act as my SS3 Further Mathematics tutor. Work a question on de Morgan's law that the compl

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Show All Working: Expressing a number in the form a root b

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

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