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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Structured question: add and simplify two polynomials"

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

Solving 4^x = 8^(x-1) by matching bases

I am in SS 1. I'm going to explain solving the equation 4^x = 8^(x-1) by writing both side

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Verifying an index law with numbers

I am in SS 1. I'm going to explain verifying that a^m divided by a^n equals a^(m-n) using

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Estimating the value of a surd

I am in SS 1. I'm going to explain estimating the approximate value of a surd such as root

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Set-builder notation basics

I am in SS 1. I'm going to explain reading and writing sets using set-builder notation, su

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Power set of a three-element set

I am in SS 1. I'm going to explain listing the full power set of a three-element set, incl

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Logical reasoning puzzle solved using sets

I am in SS 1. I'm going to explain a short logical reasoning puzzle about groups of people

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Finding the nth term of an arithmetic sequence

I am in SS 1. I'm going to explain finding the nth term formula of an arithmetic sequence,

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Sum of the first n terms of a geometric series

I am in SS 1. I'm going to explain using the formula Sn = a(r^n - 1)/(r - 1) to find the s

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Finding a term given the sum of a series

I am in SS 1. I'm going to explain finding a specific term of a sequence by first finding

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Recurring decimals as an infinite geometric series

I am in SS 1. I'm going to explain how a recurring decimal, such as 0.777..., can be writt

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Common student mistakes with progression formulas

I'm going to explain the most common mistakes SS1 students make when applying the AP and G

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Gradient from a linear equation

I am in SS 1. I'm going to explain finding the gradient and y-intercept of a line directly

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Area of a triangle from three coordinates

I am in SS 1. I'm going to explain finding the area of a triangle given the coordinates of

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Finding the equation of a line parallel to the x-axis or y-axis through a point

I am in SS 1. I'm going to explain finding the equation of a line through a given point th

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Gradient as a rate of change interpretation

I am in SS 1. I'm going to explain interpreting the gradient of a straight-line graph as a

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Solving simultaneous linear equations by substitution

I am in SS 1. I'm going to explain solving a pair of simultaneous linear equations by the

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Worked Example: Why the square root of a non-square whole number is irrational

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th

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Explain Back: Where the surds sit on the number line

I have just studied where the surds sit on the number line in my SS1 Further Mathematics c

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Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

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Worked Example: Rationalising a denominator that is a single surd

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on ration

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