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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.

Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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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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Show All Working: An operation that is associative but not commutative

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on an operation th

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Explain Back: What an inverse element is

I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me

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Practice: The law for a power raised to another power

Act as my SS1 Further Mathematics tutor. Give me five practice questions on the law for a

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Explain Back: The law for a product raised to a power

I have just studied the law for a product raised to a power in my SS1 Further Mathematics

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Show All Working: Simplifying an expression that mixes the index types

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

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Practice: Solving 2 to the power x equals 32

Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving 2 to t

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Show All Working: A word problem that leads to an indicial equation

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

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Practice: Evaluating log to base 2 of 8

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

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Explain Back: Spotting the pattern in a sequence of squares or cubes

I have just studied spotting the pattern in a sequence of squares or cubes in my SS1 Furth

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Show All Working: Deciding whether a given number is a term of a sequence

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

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Practice: Reversing the sign when multiplying by a negative number

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

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Explain Back: The solution when the quadratic expression is greater than nought

I have just studied the solution when the quadratic expression is greater than nought in m

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Practice: Solving modulus of x greater than a

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

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I am in SS 1. I'm going to explain the zero index rule, showing why any nonzero number rai

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Simplifying a fraction of two bracketed index terms

I am in SS 1. I'm going to explain simplifying a fraction of index expressions down to a s

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Dividing surds using the quotient rule

I am in SS 1. I'm going to explain simplifying a quotient of surds using the rule root a d

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Number of elements in a set from a Venn diagram region count

I am in SS 1. I'm going to explain counting n(A only), n(B only) and n(A and B) separately

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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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