Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,333 prompts matching "find the centre and radius of the circle x^2+y^2-4x+6y-3=0"
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: 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 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: find k so a cubic has a repeated root
I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must
Subscribe to unlock allSolve a 3x3 system using the inverse matrix method #1
Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding
Subscribe to unlock allSolve a 3x3 system using the inverse matrix method #2
I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it
Subscribe to unlock allVector addition, subtraction and magnitude #3
I am in SS 3. Give me a vector problem where a = 5i - j, find the magnitude of a. Let me a
Subscribe to unlock allVector addition, subtraction and magnitude #4
I am in SS 3. Give me a vector problem where a = 2i + 3j - 6k, find the magnitude of a. Le
Subscribe to unlock allVector addition, subtraction and magnitude #5
I am in SS 3. Give me a vector problem where a = 4i - 3j, find a unit vector in the direct
Subscribe to unlock allPosition vectors and displacement between points #3
I am in SS 3. Give me a vectors problem where I have position vectors of P and Q, find the
Subscribe to unlock allKinematics: equations of motion practice #1
I am in SS 3. Give me a kinematics problem where a car accelerates from 5 m/s to 20 m/s in
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 allKinematics: equations of motion practice #3
I am in SS 3. Give me a kinematics problem where a body starts from rest and accelerates a
Subscribe to unlock allKinematics: equations of motion practice #4
I am in SS 3. Give me a kinematics problem where a train decelerates from 30 m/s to rest i
Subscribe to unlock allKinematics: equations of motion practice #5
I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,
Subscribe to unlock allTesting whether a relation is a function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on test
Subscribe to unlock allShowing that fg(x) is not the same as gf(x)
I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec
Subscribe to unlock allRestricting the domain so an inverse exists
I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^
Subscribe to unlock allStructured question: rationalise and simplify a surd expression
I am in SS 3. Give me a structured question where I rationalise the denominator of a surd
Subscribe to unlock allCambridge-style question: change of base formula
I am in SS 3. Give me an Additional Maths question requiring the change of base formula to
Subscribe to unlock allSolve for command word: quadratic trigonometric equation
I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,
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