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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 f^-1(x) and verify it"

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

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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Sum of the first n terms of a geometric series

I am in SS 1. I'm going to explain using the formula Sn = a(r^n - 1)/(r - 1) to find the s

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Subtracting two algebraic fractions

I am in SS 1. I'm going to explain subtracting two algebraic fractions with different deno

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Solving a word problem using simultaneous equations

I am in SS 1. I'm going to explain a word problem that must be solved by setting up and so

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Practice: Deciding whether root 16 is rational or irrational

Act as my SS1 Further Mathematics tutor. Give me five practice questions on deciding wheth

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Show All Working: Classifying a mixed list of numbers as rational or irrational

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on classifying a 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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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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Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

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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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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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

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Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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Show All Working: A conjugate where the surd term comes first

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

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Explain Back: Solving an equation where the surd must be isolated first

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

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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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Explain Back: A binary operation defined on the integers

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

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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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