Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "Practice: The equation of a circle on a given diameter"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Spot my mistake in a truth table
Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu
Subscribe to unlock allWorked example: proving two statements are logically equivalent
Act as my SS2 Further Maths tutor. Show me a full worked example of proving that two compo
Subscribe to unlock allSpot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
Subscribe to unlock allTeach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
Subscribe to unlock allTeach me what a logical argument is
Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo
Subscribe to unlock allWorked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
Subscribe to unlock allSpot my mistake testing an argument
Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth
Subscribe to unlock allExplain argument validity back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to test whether a logi
Subscribe to unlock allWorked example: applying predicate logic to solve a problem
Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical
Subscribe to unlock allSpot my mistake in a combinatorial probability problem
Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi
Subscribe to unlock allWorked example: expanding (x+y)^4 using Pascal's triangle
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin
Subscribe to unlock allSpot my mistake finding a specific term
Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e
Subscribe to unlock allTeach me how to simplify surds
Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s
Subscribe to unlock allSpot my mistake differentiating a polynomial
Act as my SS2 Further Maths tutor. I differentiated a polynomial function but I think I ma
Subscribe to unlock allTeach me adding and subtracting complex numbers
Act as my SS2 Further Maths tutor. Teach me how to add and subtract complex numbers by com
Subscribe to unlock allTeach me adding and subtracting matrices
Act as my SS2 Further Maths tutor. Teach me how to add and subtract matrices of the same o
Subscribe to unlock allWorked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allWorked example: differentiate y = (2x-1)(x+3) after expanding it first
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
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 allDeduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
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