1,334 prompts matching "The decimal expansion of an irrational number, and why it never repeats"
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Evaluate a 3x3 determinant by expansion #1
Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina
Evaluate a 3x3 determinant by expansion #2
Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi
Evaluate a 3x3 determinant by expansion #3
I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua
Evaluate a 3x3 determinant by expansion #4
I am in SS 3. Give me a 3x3 matrix like A=[[3,1,2],[0,-1,4],[2,3,1]] and ask me to evaluat
Evaluate a 3x3 determinant by expansion #5
Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi
Show All Working: Expressing a number in the form a root b
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on expressing
Range of a simple function from its graph or values
I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si
Finding the inverse of a simple linear function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find
Finding the making x the subject of a fractional function
You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu
Restricting the domain so an inverse exists
I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^
Finding f(x) given a description of the function rule
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
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
Cambridge-style question: change of base formula
I am in SS 3. Give me an Additional Maths question requiring the change of base formula to
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,
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
WAEC exam question: rate of change problem
I am in SS 3. Give me a WAEC-style Further Maths question involving a rate of change, such
Explain back: converse and contrapositive
I am in SS 3. Let me explain in my own words the difference between the converse, the inve
Show all your working command word: permutation problem
I am in SS 3. Give me a permutation exam question that instructs 'show all your working',
WAEC exam question: full binomial expansion to a stated power
I am in SS 3. Give me a WAEC-style Further Maths question asking me to expand a binomial f
Evaluate log5(200) using change of base
I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang