Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →911 prompts matching "Showing that a statement is a contradiction"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Structured question: logic puzzle solved with a truth table
I am in SS 3. Give me a short logic puzzle involving two or three statements about people
Subscribe to unlock allExplain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
Subscribe to unlock allExplain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Subscribe to unlock allShow all working: adding three matrices in one question
Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #1
Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #2
Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #3
I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #4
I am in SS 3. Give me a 3x3 matrix like A=[[3,1,2],[0,-1,4],[2,3,1]] and ask me to evaluat
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #5
Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi
Subscribe to unlock allShow all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
Subscribe to unlock allVerify A times A-inverse equals the identity
I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and
Subscribe to unlock allWAEC Further Mathematics command words explained
I am in SS 3. Explain what WAEC command words like 'evaluate', 'hence', 'show that' and '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 allShow All Working: A three-set Venn diagram drawn from a subject survey
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on a three-se
Subscribe to unlock allShow All Working: Solving an equation written in terms of a binary operation
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving an
Subscribe to unlock allShow All Working: Expressing a number in the form a root b
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on expressing
Subscribe to unlock allShow All Working: Solving a logarithmic equation and rejecting the invalid root
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a
Subscribe to unlock allShow All Working: Solving a quadratic by completing the square
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a
Subscribe to unlock allShow All Working: Finding a coefficient given a stated relation between the roots
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on finding a
Subscribe to unlock allShow All Working: Three roots in arithmetic progression in a cubic
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on three root
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