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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Sum of an arithmetic series given the first and last term"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solve 5^(x+2) = 125^(x-1) with full working

I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio

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Show 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

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Solve 2sin(x) + 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x

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Solve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f

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Structured word problem: WAEC exam hall seating combinations

I am in SS 3. Set me a structured combinations word problem about choosing students for an

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Structured word problem: population growth as a geometric sequence

I am in SS 3. Set me a structured word problem where a town's population grows geometrical

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Build me a two-week countdown revision schedule

I am in SS 3. Build me a two-week countdown revision schedule covering all of the Further

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Structured 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

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Structured question: composite function domain restriction

I am in SS 3. Give me a structured question where the composite function fg(x) is undefine

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Structured question: logarithmic equation reducing to a quadratic

I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x

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Structured question: quadratic word problem about a thrown ball

I am in SS 3. Set me a structured Additional Maths word problem where the height of a thro

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Structured question: curve sketching using stationary points

I am in SS 3. Give me a structured question where I find the stationary points of a cubic

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Explain back: quadratic inequality solution notation

I am in SS 3. Let me explain in my own words how to correctly write the solution set of a

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Give me a mixed revision pack blending three topics

I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua

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Practice: A 2 by 2 matrix multiplied by a column vector

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri

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Practice: A diagonal matrix

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat

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Practice: Evaluating AB minus BA

Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB

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Practice: Resolving three forces in two perpendicular directions

Act as my SS3 Further Mathematics tutor. Give me five practice questions on resolving thre

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Practice: Converting a complex number from polar form back to a plus bi

Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting a c

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Practice: A body thrown vertically upwards

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a body thrown

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