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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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487 prompts matching "Assuming a quadratic with a negative discriminant has no roots at all"

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

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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Algebraic long division of a simple polynomial by a linear factor

I am in SS 1. Quiz me with 4 short Additional Maths questions on dividing a simple cubic e

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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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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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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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Show All Working: Deciding whether two given surds are equal without a calculator

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

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Common Mistakes: Expressing root 50 as a multiple of root 2

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on exp

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Worked Example: Adding two surds that simplify to the same root

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

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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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Worked Example: Rationalising a denominator that is a single surd

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

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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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Common Mistakes: Rationalising when both terms of the denominator are surds

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on rat

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Practice: Solving an equation with a surd on each side

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

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on finding a and b

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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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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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Show All Working: Simplifying an expression with letters and indices

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

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Worked Example: Rewriting a negative index as a fraction

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

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Explain Back: A fractional index with a numerator above one

I have just studied a fractional index with a numerator above one in my SS1 Further Mathem

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