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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 fg(x) and gf(x)"

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

Survey word problem using a two-set Venn diagram

I am in SS 1. Teach me a classic survey word problem, such as a group of students where so

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Working backwards from Venn diagram totals

I am in SS 1. I'm going to explain a Venn diagram question where I am given some regions a

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Using sets to test simple logical statements

I am in SS 1. Quiz me with 4 short Additional Maths questions on using sets to test whethe

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Interpreting neither-nor in a Venn diagram problem

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

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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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Sets applied to a school subject survey

Teach me a realistic Nigerian secondary school context question, such as a survey of SS1 s

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Common mistakes with set notation

Quiz me with 4 short Additional Maths questions on the most common set notation mistakes S

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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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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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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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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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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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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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Deriving the arithmetic series sum formula

I am in SS 1. Quiz me with 4 short Additional Maths questions on how the formula Sn = n/2

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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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Multi-part progression problem with an unknown first term

I am in SS 1. Quiz me with 5 short Additional Maths questions on a multi-part question whe

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Explaining why sum to infinity only works for |r| < 1

I am in SS 1. Quiz me with 5 short Additional Maths questions on explaining, using a numer

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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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