1,320 prompts matching "Quiz: The sum of the first fifty natural numbers"
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Structured question: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
WAEC exam question: forming a quadratic equation from a word problem
I am in SS 3. Give me a WAEC-style Further Maths word problem, such as one about two numbe
Spot my mistake in a determinant expansion
I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si
Show all working: evaluate a 3x3 determinant
Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show
Explain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
Composite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Self-inverse functions
I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct
One-to-one versus many-to-one functions
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on the
Why not every function has an inverse function
I am in SS 3. I attempted an Additional Maths question on why some functions, such as f(x)
Function machines as an introduction to function notation
I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to
Structured question: solve an exponential equation using indices
I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik
Structured question: rationalise and simplify a surd expression
I am in SS 3. Give me a structured question where I rationalise the denominator of a surd
Structured question: solve a logarithmic equation with two conditions
I am in SS 3. Give me a structured question where I solve a logarithmic equation and must
Show that command word: logarithm laws
I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit
Structured question: prove a trigonometric identity
I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu
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: geometric progression with two given terms
I am in SS 3. Give me a structured geometric progression question where two non-consecutiv
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
Give me a full Additional Maths style Paper 1 question set
I am in SS 3. Give me a short set of five short-answer Additional Maths style Paper 1 ques
Explain back: converse and contrapositive
I am in SS 3. Let me explain in my own words the difference between the converse, the inve