1,334 prompts matching "Learn: The formula for the general term of an expansion"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Rationalise 7/(sqrt5 - 2) fully
I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising
Show that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Solve log2(x+1) + log2(x-1) = 3 with full working
I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e
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
Spot my mistake: dividing a polynomial by long division
I am in SS 3. I will show you my full long division working for dividing a polynomial by a
Worked example: fully factorise x^3 - 7x + 6
I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely
Worked example: solve 3^(2x) - 4(3^x) + 3 = 0
I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it
Structured word problem: population growth as a geometric sequence
I am in SS 3. Set me a structured word problem where a town's population grows geometrical
Structured question: surd equation with a solution to reject
I am in SS 3. Give me a structured surd equation question where squaring both sides introd
Structured question: polynomial with a given remainder pattern
I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind
Structured question: logarithmic inequality
I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch
Structured question: logic puzzle solved with a truth table
I am in SS 3. Give me a short logic puzzle involving two or three statements about people
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
WAEC exam question: polynomial division real-world framing
I am in SS 3. Give me a WAEC-style Further Maths question that frames polynomial long divi
Non-calculator paper: coordinate geometry with fractional gradients
I am in SS 3. Give me a non-calculator coordinate geometry question where the gradient wor
WAEC Prep: Adding two 2 by 2 matrices entry by entry
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Worked Example: Adding two 3 by 3 matrices
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on adding
WAEC Prep: Checking a matrix subtraction by adding back
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through checking a matrix
WAEC Prep: Subtracting a matrix from itself
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through subtracting a matr
WAEC Prep: Multiplying two 2 by 2 matrices, row into column
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o