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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: divide a cubic and state quotient and remainder"

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

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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Subtracting two algebraic fractions

I am in SS 1. I'm going to explain subtracting two algebraic fractions with different deno

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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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Solving a word problem using simultaneous equations

I am in SS 1. I'm going to explain a word problem that must be solved by setting up and so

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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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Worked Example: What makes two surds equal

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

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Worked Example: Adding two surds that simplify to the same root

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

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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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Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

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Worked Example: Why multiplying by the conjugate clears the surd

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

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Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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Worked Example: Squaring both sides safely when solving a surd equation

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

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