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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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690 prompts matching "calculus and stationary points multi-part"

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

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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Series exam question with show all working

I am in SS 1. I'm going to explain a full Cambridge/Additional Maths style series question

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Quiz me rapid-fire on nth term formulas

I am in SS 1. I attempted an Additional Maths question on a rapid quiz where I am given a

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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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Finding a sequence's sum between two term numbers

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Distance formula with negative coordinates

I am in SS 1. Teach me finding the distance between two points where some coordinates are

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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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Condition for two lines to be parallel

I am in SS 1. Teach me the condition for two lines to be parallel, and using it to find th

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Condition for two lines to be perpendicular

I am in SS 1. Quiz me with 4 short Additional Maths questions on the condition for two lin

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Dividing a line segment in a given ratio

I am in SS 1. Teach me finding the coordinates of a point that divides a line segment inte

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Equation of the perpendicular bisector of a segment

I am in SS 1. Quiz me with 4 short Additional Maths questions on finding the equation of t

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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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Coordinate geometry proof: isosceles triangle

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Word problem: coordinate geometry in a real map context

I am in SS 1. Quiz me with 4 short Additional Maths questions on a real-life word problem

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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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WAEC-style past question on coordinate geometry

I am in SS 1. I'm going to explain a complete WAEC Further Mathematics past-paper style co

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Coordinate geometry involving a right-angle condition to find x

I am in SS 1. Teach me finding an unknown coordinate x so that two given line segments mee

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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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