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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 "Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360"

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

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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Simplifying a surd expression before squaring

I am in SS 1. I attempted an Additional Maths question on why it matters to simplify a sur

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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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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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Survey word problem using a three-set Venn diagram

I am in SS 1. Quiz me with 5 short Additional Maths questions on a WAEC-style survey word

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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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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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Finding the nth term of an arithmetic sequence

I am in SS 1. I'm going to explain finding the nth term formula of an arithmetic sequence,

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Sum of the first n terms of an arithmetic series

I am in SS 1. I attempted an Additional Maths question on using the formula Sn = n/2 (2a +

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Sum of an arithmetic series given the first and last term

I am in SS 1. Teach me using the formula Sn = n/2 (a + l) to find the sum of an arithmetic

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Finding the number of terms in an arithmetic series

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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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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Finding an endpoint given the midpoint

I am in SS 1. Quiz me with 5 short Additional Maths questions on finding one endpoint of 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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Equation of a line given gradient and one point

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

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Equation of a line through two given points

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

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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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Distance from a point to the centre of a circle

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on usin

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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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