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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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2,802 prompts matching "moments and rigid bodies"

Give me a past-paper style question bank for differentiation basics

I am in SS 3. Give me a bank of four exam-style questions on differentiation and stationar

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Explain back: the factor theorem versus the remainder theorem

Let me explain the difference between the factor theorem and the remainder theorem in my o

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Explain back: rationalising a surd denominator

Let me explain in my own words why we rationalise the denominator of a surd expression and

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Explain back: the change of base formula in a calculation

Let me explain the addition, subtraction and power laws of logarithms back to you in my ow

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Explain back: gradient of a tangent versus a normal

Let me explain in my own words the relationship between the gradient of a tangent and the

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Explain back: arithmetic versus geometric progressions

Let me explain the difference between an arithmetic and a geometric progression in my own

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Explain back: why a line tangent to a curve gives equal roots

Let me explain in my own words why setting a line equal to a curve and requiring the discr

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Spot my mistake: forming a quadratic equation from its roots

Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f

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Spot my mistake: dividing a polynomial by long division

I am in SS 3. I will show you my full long division working for dividing a polynomial by a

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Spot my mistake: solving an exponential equation

I am in SS 3. I will show you my working for solving an exponential equation by matching b

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Spot my mistake: checking each line of a trigonometric identity proof

I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f

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Spot my mistake: finding a stationary point

I am in SS 3. I will show you my working for finding and classifying a stationary point of

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Spot my mistake: geometric progression sum to infinity

I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v

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Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

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Worked example: find where the tangent to y = x^3 crosses the x-axis

I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a

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Worked example: solve 3^(2x) - 4(3^x) + 3 = 0

I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it

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Worked example: prove an argument invalid using a truth table

I am in SS 3. Show me a full worked example of testing a logical argument for validity usi

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Structured word problem: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

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Structured word problem: WAEC exam hall seating combinations

I am in SS 3. Set me a structured combinations word problem about choosing students for an

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Structured word problem: market trader's geometric savings

I am in SS 3. Give me a structured geometric progression word problem where a market trade

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