Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,318 prompts matching "Solving a surd equation with terms on both sides"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Common Mistakes: The condition for a body to complete a vertical circle
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Subscribe to unlock allWorked Example: The amplitude, period and frequency of a simple harmonic motion
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Subscribe to unlock allPractice: The maximum speed and the maximum acceleration in simple harmonic motion
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Subscribe to unlock allShow All Working: A mass on a spring performing simple harmonic motion
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Subscribe to unlock allCommon Mistakes: The energy of a body in simple harmonic motion
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Subscribe to unlock allWorked Example: The tension in a stretched elastic string
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Subscribe to unlock allPractice: The difference between an elastic string and a spring in compression
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Subscribe to unlock allShow All Working: The work done in stretching an elastic string
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Subscribe to unlock allCommon Mistakes: A particle oscillating on the end of an elastic string
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Subscribe to unlock allExplain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Subscribe to unlock allPosition vectors and displacement between points #1
I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto
Subscribe to unlock allPosition vectors and displacement between points #2
I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v
Subscribe to unlock allTeach me Cramer's rule from first principles
I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de
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 allShow that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Subscribe to unlock allFind the centre and radius from x^2+y^2-6x+8y-11=0
I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski
Subscribe to unlock allGive me an exam formula sheet for quadratic inequalities
I am in SS 3. Build me a short formula sheet covering every formula I need for solving qua
Subscribe to unlock allWorked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4
I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and
Subscribe to unlock allFind the inverse of a 2x2 matrix #1
Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi
Subscribe to unlock allFind the inverse of a 2x2 matrix #2
I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us
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