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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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742 prompts matching "Structured question: find k so a cubic has a repeated root"

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

Surd word problem: diagonal of a rectangle

I am in SS 1. Teach me a word problem asking for the exact length of the diagonal of a rec

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Dividing surds using the quotient rule

I am in SS 1. I'm going to explain simplifying a quotient of surds using the rule root a d

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Simplifying nested surds

I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su

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Quiz me on quick surd simplifications

I am in SS 1. Teach me a rapid-fire set of surd simplification questions typical of the no

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Rationalising a denominator with three surd terms

I am in SS 1. I'm going to explain rationalising a more unusual denominator involving more

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Reading and writing set notation

I am in SS 1. Teach me reading and writing basic set notation, such as element-of, subset-

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Union and intersection of two number sets

I am in SS 1. I'm going to explain finding the union and intersection of two given sets of

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Reading values off a completed Venn diagram

I am in SS 1. Teach me reading and interpreting information from a completed two-set Venn

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Disjoint sets and what they mean

I am in SS 1. Teach me what it means for two sets to be disjoint, giving an example and dr

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Universal set and its role in set problems

I am in SS 1. Teach me what a universal set is and how it affects the answer to complement

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Explaining Venn diagram vocabulary in my own words

I am in SS 1. Teach me the key vocabulary of Venn diagrams and set notation such as univer

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De Morgan's laws for sets

I am in SS 1. Teach me De Morgan's laws for sets, (A union B)' = A' intersection B' and (A

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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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Recognising arithmetic vs geometric sequences

I am in SS 1. Teach me how to tell from a list of numbers whether a sequence is arithmetic

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Word problem: arithmetic sequence in a savings context

I am in SS 1. Teach me a real-life word problem modelled by an arithmetic sequence, such a

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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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Sketching a straight line from its equation

I am in SS 1. Teach me sketching the graph of a straight line given its equation, correctl

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Common mistakes in coordinate geometry formulas

Teach me the most common mistakes SS1 students make with coordinate geometry formulas, suc

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Full worked exam-style problem combining gradient, distance and midpoint

I am in SS 1. I'm going to explain a single exam-style coordinate geometry question that r

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