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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,325 prompts matching "The identity linking alpha squared plus beta squared to the sum and product"

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: Reporting an area computed below the x-axis as a negative distance travelled

Act as my SS3 Further Mathematics tutor. Write a short answer on reporting an area compute

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Spot my mistake: Leaving out the constant of integration when velocity is found from acceleration

Act as my SS3 Further Mathematics tutor. Write a short answer on leaving out the constant

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Spot my mistake: Reading a strong correlation between two variables as proof that one causes the other

Act as my SS3 Further Mathematics tutor. Write a short answer on reading a strong correlat

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Non-calculator paper: simplify an index expression

I am in SS 3. Give me a non-calculator Additional Maths question requiring me to simplify

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Show that command word: trigonometric identity

I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear

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Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

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WAEC exam question: the converse, the inverse and the contrapositive

Act as my SS3 Further Mathematics examiner. Set me an exam-standard question on the conver

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Find the number of ways command word: combinations

I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin

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Find the sum of the first 15 terms of an AP

I am in SS 3. Give me a structured question where I am given the first term and common dif

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Differentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1

I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q

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Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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Find the range of x for which y = x^3 - 3x is increasing

I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range

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Give me an exam formula sheet for completing the square

I am in SS 3. Build me a short formula sheet covering every formula I need for completing

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Give me an exam formula sheet for the quadratic formula

I am in SS 3. Build me a short formula sheet covering every formula I need for using the q

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Give me an exam formula sheet for the remainder theorem

I am in SS 3. Build me a short formula sheet covering every formula I need for the remaind

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Give me an exam formula sheet for the binomial theorem

I am in SS 3. Build me a short formula sheet covering every formula I need for the binomia

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Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4

I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and

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Check whether my exam layout would satisfy a Cambridge examiner

I am in SS 3. I will show you my working for one exam-style question covered so far. Tell

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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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Structured question: simplifying a surd raised to a fractional index

I am in SS 3. Give me a structured question simplifying an expression that combines a surd

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