Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,278 prompts matching "Find sum and product of roots of x^2 - 8x + 15 = 0"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explain-back: my understanding of Cramer's rule
I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the
Subscribe to unlock allStructured question: quadratic with roots that differ by a given amount
I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe
Subscribe to unlock allStructured question: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
Subscribe to unlock allStructured question: two quadratics sharing a common root
I am in SS 3. Give me a structured question where two quadratic equations are given and I
Subscribe to unlock allKinematics: equations of motion practice #2
I am in SS 3. Give me a kinematics problem where a ball is thrown vertically upward at 15
Subscribe to unlock allDomain of a simple algebraic function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find
Subscribe to unlock allRange of a simple function from its graph or values
I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si
Subscribe to unlock allStructured question: equation of a line through two points
I am in SS 3. Give me a structured question where I find the equation of a straight line t
Subscribe to unlock allStructured question: perpendicular bisector of a line segment
I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr
Subscribe to unlock allShow that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
Subscribe to unlock allExpress 2x^2 - 8x + 3 in completed-square form
I am in SS 3. Set me the expression 2x^2 - 8x + 3 as a Cambridge-style 'express in the for
Subscribe to unlock allStructured question: line through (1,4) and (5,-2)
I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and
Subscribe to unlock allSpot my mistake: finding a stationary point
I am in SS 3. I will show you my working for finding and classifying a stationary point of
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: 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 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 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 adjoint of a matrix
Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi
Subscribe to unlock allExplain the parallelogram of forces
Explain the parallelogram law for finding the resultant of two forces, with a labelled dia
Subscribe to unlock allExplain the triangle of forces method
Explain how the triangle of forces method finds a resultant, and compare it with the paral
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