Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,332 prompts matching "Arranging objects when some must stay in a fixed order"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Quiz: The remainder theorem, and the remainder on dividing by x minus a
Act as my SS3 Further Mathematics tutor and quiz me on the remainder theorem, and the rema
Subscribe to unlock allOrder of matrices before multiplying
I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m
Subscribe to unlock allExplain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
Subscribe to unlock allExplain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
Subscribe to unlock allExplain equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
Subscribe to unlock allIntegration practice question #1
I am in SS 3. Give me an integration problem where I must find the integral of 4x^3 - 6x +
Subscribe to unlock allIntegration practice question #2
I am in SS 3. Give me an integration problem where I must find the integral of (2x+3)^4 wi
Subscribe to unlock allIntegration practice question #3
I am in SS 3. Give me an integration problem where I must find the definite integral of x^
Subscribe to unlock allIntegration practice question #4
I am in SS 3. Give me an integration problem where I must find the area under the curve y
Subscribe to unlock allExplain-back: what a matrix inverse actually does
I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d
Subscribe to unlock allExplain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
Subscribe to unlock allExplain-back: equilibrium of a rigid body
I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri
Subscribe to unlock allShow all working: vectors and forces combined question
I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force
Subscribe to unlock allQuiz: The complement of a set within a stated universal set
Act as my SS3 Further Mathematics tutor and quiz me on the complement of a set within a st
Subscribe to unlock allSpot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements
Act as my SS3 Further Mathematics tutor. Work a question on de Morgan's law that the compl
Subscribe to unlock allQuiz: Testing a binary operation for commutativity
Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm
Subscribe to unlock allSpot 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
Subscribe to unlock allQuiz: Multiplying two surds and simplifying the result
Act as my SS3 Further Mathematics tutor and quiz me on multiplying two surds and simplifyi
Subscribe to unlock allSpot My Mistake: Squaring a bracket that contains a surd
Act as my SS3 Further Mathematics tutor. Work a question on squaring a bracket that contai
Subscribe to unlock allQuiz: Solving an index equation by writing both sides to the same base
Act as my SS3 Further Mathematics tutor and quiz me on solving an index equation by writin
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