1,313 prompts matching "Structured question: find fg(x) and gf(x)"
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Structured question: quadratic word problem about a thrown ball
I am in SS 3. Set me a structured Additional Maths word problem where the height of a thro
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
Structured question: simplifying a surd raised to a fractional index
I am in SS 3. Give me a structured question simplifying an expression that combines a surd
Structured question: logarithmic inequality
I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch
Structured question: solving a trig equation involving a double angle
I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co
Structured question: sum of a series expressed using sigma notation
I am in SS 3. Give me a structured question where a sum is written using sigma notation fo
Structured question: binomial expansion used for a probability estimate
I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a
Structured question: combination problem with 'at least' condition
I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc
Explain Back: Finding n and p from a given mean and variance
I have just studied finding n and p from a given mean and variance in my SS3 Further Mathe
WAEC Prep: Finding the mean or the standard deviation from a given probability
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through finding the mean o
Practice: Equating real and imaginary parts to find two unknowns
Act as my SS3 Further Mathematics tutor. Give me five practice questions on equating real
Worked Example: Finding the first term and the common difference from two given terms
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Show all working: vectors and forces combined question
I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force
WAEC Further Mathematics: complex numbers and Argand diagram question
I am in SS 3. Give me a WAEC Further Mathematics style question requiring me to plot a com
Learn: Finding alpha squared plus beta squared from the sum and product
You are my personal SS3 Further Mathematics tutor. Teach me finding alpha squared plus bet
Practice: Finding alpha minus beta from the sum and the product
Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding alpha
Worked Example: Solving cos x equals a negative value, and finding both solutions
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on solvin
Quiz: Finding the centre and the radius from the general equation
Act as my SS3 Further Mathematics tutor and quiz me on finding the centre and the radius f
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