Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,000 prompts matching "Simplifying an algebraic fraction by factorising first"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =
Subscribe to unlock allWorked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Subscribe to unlock allWorked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Subscribe to unlock allWord problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
Subscribe to unlock allSpot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Subscribe to unlock allStructured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Subscribe to unlock allShow All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
Subscribe to unlock allPractice: Giving the roots correct to two decimal places
Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo
Subscribe to unlock allShow All Working: Roots equal in magnitude but opposite in sign
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in
Subscribe to unlock allPractice: The value of alpha to the fourth plus beta to the fourth
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a
Subscribe to unlock allPractice: Finding the matching value of the second unknown
Act as my SS2 Further Mathematics tutor. Give me five practice questions on finding the ma
Subscribe to unlock allShow All Working: The point of contact when a line touches a curve
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the point of co
Subscribe to unlock allPractice: Polynomial notation such as P of x
Act as my SS2 Further Mathematics tutor. Give me five practice questions on polynomial not
Subscribe to unlock allPractice: A division that leaves no remainder
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha
Subscribe to unlock allShow All Working: Synthetic division as a shorter route
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on synthetic divis
Subscribe to unlock allPractice: Showing that x plus 3 is a factor of a given polynomial
Act as my SS2 Further Mathematics tutor. Give me five practice questions on showing that x
Subscribe to unlock allShow All Working: What the factor theorem says about the roots
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on what the factor
Subscribe to unlock allPractice: The conjunction of two propositions
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the conjunctio
Subscribe to unlock allPractice: Negation combined with a compound statement
Act as my SS2 Further Mathematics tutor. Give me five practice questions on negation combi
Subscribe to unlock allShow All Working: Reading the final column of a truth table
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on reading the fin
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