3,169 prompts in this subject
Structured question: intersection of a line and a circle
I am in SS 3. Give me a structured question where I substitute a line's equation into a ci
Show that command word: line is tangent to a circle
I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry
Structured question: prove a trigonometric identity
I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu
Show that command word: trigonometric identity
I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear
Structured question: solve a trig equation for all solutions in range
I am in SS 3. Give me a structured question asking me to solve a trigonometric equation an
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,
Non-calculator paper: exact trigonometric values
I am in SS 3. Give me a non-calculator Additional Maths question requiring exact trigonome
Structured question: find the nth term and a specific term of an AP
I am in SS 3. Give me a structured arithmetic progression question where I first find the
Show that command word: sum of an arithmetic progression
I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n
Structured question: geometric progression with two given terms
I am in SS 3. Give me a structured geometric progression question where two non-consecutiv
Find the sum to infinity command word
I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric
WAEC exam question: mixed AP and GP problem
I am in SS 3. Give me a WAEC-style Further Maths question that mixes arithmetic and geomet
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
Show that command word: binomial coefficient identity
I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi
Structured question: use binomial expansion to approximate a value
I am in SS 3. Give me a structured question where I expand a binomial expression and then
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
Structured question: find the equation of a tangent to a curve
I am in SS 3. Give me a structured question where I differentiate a curve's equation, find
Structured question: find the equation of a normal to a curve
I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe
Show that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
Structured question: find and classify all stationary points
I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta