1,238 prompts matching "a GP with first term 100 and common ratio 0.5, find the sum to infinity"
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Show all working: the determinant of a three by three matrix
You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat
Resolve a force into horizontal and vertical components #2
Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the
Integration practice question #1
I am in SS 3. Give me an integration problem where I must find the integral of 4x^3 - 6x +
Integration practice question #2
I am in SS 3. Give me an integration problem where I must find the integral of (2x+3)^4 wi
Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def
Quiz: Testing a binary operation for commutativity
Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm
Practice: Testing a binary operation for associativity
Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina
Spot My Mistake: Finding the inverse of an element under a binary operation
Act as my SS3 Further Mathematics tutor. Work a question on finding the inverse of an elem
WAEC Prep: Completing a Cayley table for an operation on a small set
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Final Revision: Deciding whether a set under an operation forms a group
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Practice: Rationalising a denominator of the form root a
Act as my SS3 Further Mathematics tutor. Give me five practice questions on rationalising
Final Revision: Proving that root 2 is irrational
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Practice: Solving an inequality with the unknown in the denominator
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Spot My Mistake: Solving an equation by first applying a Pythagorean identity
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WAEC Prep: Solving an equation by first applying a double angle formula
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Practice: The equation of a line through a point with a given gradient
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Quiz: The acceleration of a body sliding down a smooth incline
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Spot my mistake: Treating the rth term of a binomial expansion as the one carrying the rth power
Act as my SS3 Further Mathematics tutor. Write a short answer on treating the rth term of
Spot my mistake: Leaving out the constant of integration when velocity is found from acceleration
Act as my SS3 Further Mathematics tutor. Write a short answer on leaving out the constant
Spot my mistake: Using an equation of constant acceleration on a body whose acceleration is changing
Act as my SS3 Further Mathematics tutor. Write a short answer on using an equation of cons