1,333 prompts matching "Why a rational number added to an irrational one stays irrational"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Spot My Mistake: Why friction does not depend on the area of contact
Act as my SS3 Further Mathematics tutor. Work a question on why friction does not depend o
Worked Example: Squaring a complex number
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on squari
Quiz: The argument of a complex number
Act as my SS3 Further Mathematics tutor and quiz me on the argument of a complex number. A
Quiz: Writing a complex number in polar form
Act as my SS3 Further Mathematics tutor and quiz me on writing a complex number in polar f
Spot my mistake finding a vector magnitude
I am in SS 3. I calculated the magnitude of a 3D vector but I'm not confident I squared an
Complex number arithmetic practice #5
I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1
WAEC past-question practice: complex numbers #4
I am in SS 3. Test me with a timed WAEC-style complex numbers question, give it to me cold
Teach me the normal distribution standardisation formula
I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -
Simplifying algebraic fractions that need factorising a quadratic first
I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic
Evaluating a function at an algebraic input
I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at
Mapping diagrams and function types
I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi
Function notation applied to a real-world formula
I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a 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^
Explaining function notation to a classmate
I am in SS 3. I'm going to explain explaining function notation and what f(x) really means
Comparing two functions to see which grows faster
I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of
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: the constant term in a binomial expansion
You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi
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
WAEC exam question: arranging books on a shelf with a rule
I am in SS 3. Give me a WAEC-style permutations question about arranging books on a shelf
Structured question: unknown coefficient from a factor condition
I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a