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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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755 prompts matching "Structured question: find f^-1(x) and verify it"

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

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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Set problem leading to a linear equation

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

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Deciding whether a geometric series converges

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

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Word problem: geometric sequence in a growth context

I am in SS 1. Quiz me with 3 short Additional Maths questions on a real-life word problem

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Sum of the first n odd numbers

I am in SS 1. Quiz me with 4 short Additional Maths questions on proving and using the fac

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Sequences applied to simple interest vs compound interest

I am in SS 1. Teach me how simple interest over time behaves like an arithmetic sequence w

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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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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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Common mistakes in coordinate geometry formulas

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

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Locus problem: points equidistant from two fixed points

I am in SS 1. Quiz me with 3 short Additional Maths questions on a locus-style coordinate

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Factorising by taking out a common factor

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

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Factorising by grouping four terms

I am in SS 1. Teach me factorising an expression with four terms by grouping them in pairs

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Factorising the difference of two squares

I am in SS 1. Quiz me with 3 short Additional Maths questions on factorising the differenc

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Simplifying an algebraic fraction by factorising first

I am in SS 1. Teach me simplifying an algebraic fraction by factorising both the numerator

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Simplifying a complex algebraic fraction

I am in SS 1. Teach me simplifying a 'fraction within a fraction' algebraic expression by

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Changing the subject of a simple formula

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

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Changing the subject when the variable appears twice

I am in SS 1. Teach me changing the subject of a formula where the required letter appears

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Forming an algebraic expression from a word problem

I am in SS 1. Quiz me with 4 short Additional Maths questions on translating a short word

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Algebraic long division of a simple polynomial by a linear factor

I am in SS 1. Quiz me with 4 short Additional Maths questions on dividing a simple cubic e

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