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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "find where the tangent to y = x^3 crosses the x-axis"

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

De Morgan's laws for sets

I am in SS 1. Teach me De Morgan's laws for sets, (A union B)' = A' intersection B' and (A

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Logical reasoning puzzle solved using sets

I am in SS 1. I'm going to explain a short logical reasoning puzzle about groups of people

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Recognising arithmetic vs geometric sequences

I am in SS 1. Teach me how to tell from a list of numbers whether a sequence is arithmetic

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Arithmetic mean between two numbers

I am in SS 1. Quiz me with 3 short Additional Maths questions on finding the arithmetic me

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Word problem: arithmetic sequence in a savings context

I am in SS 1. Teach me a real-life word problem modelled by an arithmetic sequence, such a

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Recurring decimals as an infinite geometric series

I am in SS 1. I'm going to explain how a recurring decimal, such as 0.777..., can be writt

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Series exam question with show all working

I am in SS 1. I'm going to explain a full Cambridge/Additional Maths style series question

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WAEC-style past question on arithmetic progressions

I am in SS 1. Teach me a complete WAEC Further Mathematics past-paper style question on ar

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WAEC-style past question on geometric progressions

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Sequences involving fractions

I am in SS 1. Quiz me with 5 short Additional Maths questions on finding the nth term and

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Common student mistakes with progression formulas

I'm going to explain the most common mistakes SS1 students make when applying the AP and G

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Multi-part progression problem with an unknown first term

I am in SS 1. Quiz me with 5 short Additional Maths questions on a multi-part question whe

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Sketching a straight line from its equation

I am in SS 1. Teach me sketching the graph of a straight line given its equation, correctl

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Coordinate geometry proof: isosceles triangle

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Gradient as a rate of change interpretation

I am in SS 1. I'm going to explain interpreting the gradient of a straight-line graph as a

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Coordinate geometry exam question: quadrilateral vertices

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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WAEC-style past question on coordinate geometry

I am in SS 1. I'm going to explain a complete WAEC Further Mathematics past-paper style co

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Distinguishing gradient sign: positive, negative, zero, undefined

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Common mistakes in coordinate geometry formulas

Teach me the most common mistakes SS1 students make with coordinate geometry formulas, suc

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Full worked exam-style problem combining gradient, distance and midpoint

I am in SS 1. I'm going to explain a single exam-style coordinate geometry question that r

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