1,334 prompts matching "Test me under exam conditions on complex numbers"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Structured question: find and classify all stationary points
I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta
Structured question: identify a tautology using a truth table
I am in SS 3. Set me a structured question where I build a truth table for a compound stat
Structured question: permutation versus combination in one paper
I am in SS 3. Give me a structured two-part question where part (a) requires a permutation
Spot my mistake in a combination calculation
I am in SS 3. I will show you my working for a combination problem. Check whether I used n
Structured question: use Pascal's triangle to expand a binomial
I am in SS 3. Give me a structured question where I must write out the relevant row of Pas
Structured question: binomial expansion with a negative term
I am in SS 3. Give me a structured question expanding a binomial like (x - 2y)^n, checking
Structured question: fully factorise x^3 - 2x^2 - 5x + 6
I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest
Structured question: fully factorise x^3 + 4x^2 - 11x - 30
I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi
Show that command word: a function is its own inverse
I am in SS 3. Set me a 'show that' function question where I must show a given function is
Rationalise 7/(sqrt5 - 2) fully
I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising
Structured question: line through (1,4) and (5,-2)
I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and
Structured question: circle centre (3,-2) radius 5
I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius
Structured question: perpendicular bisector of (2,1) and (-4,7)
I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi
Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1
I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/
Spot my mistake: forming a quadratic equation from its roots
Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f
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
Spot my mistake: solving an exponential equation
I am in SS 3. I will show you my working for solving an exponential equation by matching b
Spot my mistake: finding a stationary point
I am in SS 3. I will show you my working for finding and classifying a stationary point of
Worked example: expand (2-x)^5 using Pascal's triangle
I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay
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