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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,012 prompts matching "A unit vector, and what makes it a unit"

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

Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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Give me a 5-minute recap of propositions and compound statements

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of propositions and comp

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Give me a 5-minute recap of converse and inverse propositions

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of converse and inverse

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Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

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Find the range of values command word: quadratic inequality

I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'

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Show that command word: polynomial identity

I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b

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Common command word mistakes SS2 students make

Tell me the most common mistakes SS2 Further Maths students make when responding to comman

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Worked Example: Halving the coefficient of x and squaring it

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin

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Worked Example: Substituting a, b and c into the quadratic formula correctly

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi

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Quiz: Finding the sum and the product without solving the equation

Act as my SS2 Further Mathematics tutor and quiz me on finding the sum and the product wit

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the id

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Worked Example: Substituting into the quadratic and tidying up

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi

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Final Revision: Checking a factorisation by expanding it again

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

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Practice: A cubic with one real root and two complex ones

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o

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Final Revision: The exclusive sense of or, and its truth table

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of t

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WAEC Prep: Why a conditional and its contrapositive are equivalent

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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Show All Working: Why a conditional and its converse are not equivalent

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on why a condition

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