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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,322 prompts matching "Proving the sum formula for a geometric progression"

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

Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

Solve for command word: quadratic trigonometric equation

I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,

Structured question: the constant term in a binomial expansion

You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi

Find the coefficient command word: binomial expansion

I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia

Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

Timed 20-minute Further Maths exam practice

I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering

Structured question: converse, inverse, and contrapositive together

I am in SS 3. Set me a structured question where, for one given conditional statement, I m

Quiz me on logic symbols and their meanings

I am in SS 3. Quiz me by giving me logic symbols one at a time, such as negation, conjunct

Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

Express x^2 + 10x - 3 in completed-square form

I am in SS 3. Set me the expression x^2 + 10x - 3 as a Cambridge-style 'express in the for

Express x^2 - 14x + 20 in completed-square form

I am in SS 3. Set me the expression x^2 - 14x + 20 as a Cambridge-style 'express in the fo

Express x^2 + 5x + 1 in completed-square form

I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form

Express 2x^2 - 8x + 3 in completed-square form

I am in SS 3. Set me the expression 2x^2 - 8x + 3 as a Cambridge-style 'express in the for

Express x^2 - 9x + 4 in completed-square form

I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form

WAEC exam question: solving f(x) = c for an unknown x

I am in SS 3. Give me a WAEC-style function question where I am given f(x) and a target ou

Solve 2sin(x) + 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x

Solve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees

I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f

Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

Give me a past-paper style question bank for line and curve tangency conditions

I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t

Give me a past-paper style question bank for trigonometric identities and equations

I am in SS 3. Give me a bank of four exam-style questions on proving identities and solvin

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