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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,321 prompts matching "Writing out the terms of a sequence from its nth term"

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

Worked example: binomial distribution problem

I am in SS 3. Show me one fully worked binomial probability example step by step, then giv

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Spot my mistake solving a moments problem

I am in SS 3. I set up a moments equation about a pivot but I think I forgot to use a perp

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Quiz me: forces and equilibrium mixed

I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu

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Quiz me: calculus differentiation rules

I am in SS 3. Quiz me with three short differentiation questions, one needing the product

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Show all working: vectors and forces combined question

I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force

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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def

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Worked Example: Collecting like surds in a single sum

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on collec

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Spot My Mistake: Squaring a bracket that contains a surd

Act as my SS3 Further Mathematics tutor. Work a question on squaring a bracket that contai

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on simpli

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Worked Example: Finding one over alpha plus one over beta

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

Act as my SS3 Further Mathematics tutor. Work a question on forming an equation whose root

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Worked Example: Evaluating a polynomial by substitution

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua

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Spot My Mistake: Arrangements in which two particular objects must be kept apart

Act as my SS3 Further Mathematics tutor. Work a question on arrangements in which two part

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Learn: Solving sin x equals a given value between 0 and 360 degrees

You are my personal SS3 Further Mathematics tutor. Teach me solving sin x equals a given v

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Worked Example: Solving cos x equals a negative value, and finding both solutions

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on solvin

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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

Act as my SS3 Further Mathematics tutor. Work a question on solving an equation by first a

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Learn: Two particles joined by a light inextensible string over a smooth pulley

You are my personal SS3 Further Mathematics tutor. Teach me two particles joined by a ligh

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Learn: Angular velocity, and how it relates to linear speed

You are my personal SS3 Further Mathematics tutor. Teach me angular velocity, and how it r

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Spot My Mistake: A particle hanging in equilibrium on an elastic string

Act as my SS3 Further Mathematics tutor. Work a question on a particle hanging in equilibr

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Spot my mistake: Treating any vector with small components as a unit vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating any vector with

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