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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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765 prompts matching "gradient of a tangent versus a normal"

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 command word: laws of indices

I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr

Cambridge-style question: change of base formula

I am in SS 3. Give me an Additional Maths question requiring the change of base formula to

Structured question: equation of a circle from centre and a point

I am in SS 3. Set me a structured question where I am given the centre of a circle and a p

Structured question: intersection of a line and a circle

I am in SS 3. Give me a structured question where I substitute a line's equation into a ci

Show that command word: line is tangent to a circle

I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry

Show that command word: sum of an arithmetic progression

I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n

WAEC exam question: rate of change problem

I am in SS 3. Give me a WAEC-style Further Maths question involving a rate of change, such

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

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

Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

Evaluate log5(200) using change of base

I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang

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

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

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

Give me an exam formula sheet for sum and product of roots

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

Give me a past-paper style question bank for sum and product of roots

I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran

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

Give me exam-technique advice for running out of time

I am in SS 3. Give me practical Additional Maths exam-technique advice for what to do if I

Structured question: stating the domain of the inverse of a fractional function

You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a

Non-calculator paper: exact value question on sum and product of roots

I am in SS 3. Give me a non-calculator sum and product of roots question where the final a

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