Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "An answer left in surd form after completing the square"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Find the tangent to y = x^2 - 4x + 7 at x = 3
I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie
Subscribe to unlock allFind the range of x for which y = x^3 - 3x is increasing
I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range
Subscribe to unlock allSpot my mistake: solving an exponential equation
I am in SS 3. I will show you my working for solving an exponential equation by matching b
Subscribe to unlock allWorked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
Subscribe to unlock allWorked example: expand (2-x)^5 using Pascal's triangle
I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay
Subscribe to unlock allWorked example: prove an argument invalid using a truth table
I am in SS 3. Show me a full worked example of testing a logical argument for validity usi
Subscribe to unlock allWorked example: seat 4 boys and 3 girls alternately in a row
I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and
Subscribe to unlock allGive me an Additional Maths command word matching quiz
I am in SS 3. Quiz me by giving me five command words used in Additional Maths papers, suc
Subscribe to unlock allCompare WAEC and Cambridge phrasing for the same topic
I am in SS 3. Pick one topic covered so far and show me how a WAEC Further Maths question
Subscribe to unlock allStructured question: circle and line with an unknown intercept
I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno
Subscribe to unlock allStructured question: trig equation with a coefficient inside the angle
I am in SS 3. Give me a structured trigonometric equation question where the angle inside
Subscribe to unlock allStructured question: stationary point on a curve with an unknown constant
I am in SS 3. Give me a structured differentiation question where a curve contains an unkn
Subscribe to unlock allStructured question: solving a trig equation involving a double angle
I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co
Subscribe to unlock allQuiz me on recognising which command word fits a blank exam question
I am in SS 3. Quiz me by giving me a topic and a blank space where a command word should g
Subscribe to unlock allWorked Example: A singular matrix, and why it has no inverse
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on a sing
Subscribe to unlock allWorked Example: What a determinant of nought means for a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on what a
Subscribe to unlock allLearn: The effect on a determinant of swapping two rows
You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of
Subscribe to unlock allPractice: The sign pattern of the cofactors in a 3 by 3 determinant
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sign patte
Subscribe to unlock allWorked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua
Subscribe to unlock allLearn: Solving two simultaneous equations by Cramer's rule
You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat
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