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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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724 prompts matching "Structured question: prove a trigonometric identity"

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 a geometric series with a negative common ratio

I am in SS 1. Teach me finding the sum of a geometric series where the common ratio is neg

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Word problem: total distance from a bouncing ball

I am in SS 1. Quiz me with 3 short Additional Maths questions on a classic word problem wh

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Finding which term of a sequence equals a given value

I am in SS 1. Teach me finding which term number in an arithmetic or geometric sequence is

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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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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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Sequences involving fractions

I am in SS 1. Quiz me with 5 short Additional Maths questions on finding the nth term and

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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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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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Sum of a series expressed with algebraic terms

I am in SS 1. Teach me finding the sum of the first n terms of a series where each term is

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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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Distance between two coordinate points

I am in SS 1. I attempted an Additional Maths question on finding the distance between two

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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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Midpoint of a line segment

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

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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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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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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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