1,315 prompts matching "Structured question: divide a cubic and state quotient and remainder"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Prove that (1-cos^2x)/sinx = sinx
I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que
Prove that tanx + 1/tanx = 1/(sinx cosx)
I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu
Find the sum of the first 15 terms of an AP
I am in SS 3. Give me a structured question where I am given the first term and common dif
Find the range of x for which y = x^3 - 3x is increasing
I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range
Give me a mixed revision pack blending three topics
I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua
Quiz me: calculus differentiation rules
I am in SS 3. Quiz me with three short differentiation questions, one needing the product
Simplifying an expression before solving an equation
I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful
Factorising an expression with a common algebraic bracket factor
I am in SS 3. Teach me factorising an expression where the common factor is itself a brack
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 a given value
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Evaluating a function at a negative value
I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(
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
Domain of a function involving a square root
I am in SS 3. Teach me finding the domain of a function involving a square root, such as f
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
The vertical line test
I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid
Composite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Composite functions gf(x)
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Showing that fg(x) is not the same as gf(x)
I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec
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
Self-inverse functions
I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct