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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 "Structured question: find the equation of a normal to a curve"

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

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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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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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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Simplifying a complex algebraic fraction

I am in SS 1. Teach me simplifying a 'fraction within a fraction' algebraic expression by

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Simplifying expressions with like and unlike terms

I am in SS 1. Teach me correctly identifying and collecting like terms in a longer algebra

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Common mistakes with composite and inverse functions

Teach me the most common mistakes SS1 students make with composite and inverse functions,

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Worked Example: What makes two surds equal

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on what m

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Practice: Collecting similar surds in an expression

Act as my SS1 Further Mathematics tutor. Give me five practice questions on collecting sim

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

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Practice: Multiplying a whole number by a surd

Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplying a

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Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

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Show All Working: Simplifying a surd expression that contains brackets

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on simplifying a s

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Show All Working: Checking a rationalised answer by decimal approximation

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on checking a rati

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Quiz: Evaluating a*b from a given rule

Act as my SS1 Further Mathematics tutor and quiz me on evaluating a*b from a given rule. A

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Practice: A binary operation set out as a table

Act as my SS1 Further Mathematics tutor. Give me five practice questions on a binary opera

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Show All Working: Evaluating a repeated operation such as a*(b*c)

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on evaluating a re

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Practice: Testing a set for closure under multiplication

Act as my SS1 Further Mathematics tutor. Give me five practice questions on testing a set

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Show All Working: Showing a set is not closed by a single counter-example

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on showing a set i

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Worked Example: Testing a*b against b*a for a given rule

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on testin

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