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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,315 prompts matching "IGCSE Additional Maths Y10: Two distinct roots, and what the discriminant shows"

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

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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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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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: 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: 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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Structured word problem: population growth as a geometric sequence

I am in SS 3. Set me a structured word problem where a town's population grows geometrical

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Structured question: composite function domain restriction

I am in SS 3. Give me a structured question where the composite function fg(x) is undefine

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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: logarithmic equation reducing to a quadratic

I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x

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Structured question: trig equation with a coefficient inside the angle

I am in SS 3. Give me a structured trigonometric equation question where the angle inside

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Structured question: stationary point on a curve with an unknown constant

I am in SS 3. Give me a structured differentiation question where a curve contains an unkn

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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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Structured question: logarithmic inequality

I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch

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