1,332 prompts matching "Common mistakes in coordinate geometry formulas"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Show that (1,2), (3,6), and (5,10) are collinear
I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,
Solve 2sin(x) + 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x
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
Show that a geometric series converges and find its sum to infinity
I am in SS 3. Give me a structured question where I must first show a given geometric seri
Find the tangent to y = x^2 - 4x + 7 at x = 3
I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie
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/
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 past-paper style question bank for solving quadratics by factorisation
I am in SS 3. Give me a bank of four exam-style questions on solving quadratic equations b
Give me a past-paper style question bank for completing the square
I am in SS 3. Give me a bank of four exam-style questions on completing the square, rangin
Give me a past-paper style question bank for quadratic inequalities
I am in SS 3. Give me a bank of four exam-style questions on solving quadratic inequalitie
Give me a past-paper style question bank for linear-quadratic simultaneous equations
I am in SS 3. Give me a bank of four exam-style questions on linear-quadratic simultaneous
Give me a past-paper style question bank for line and curve tangency conditions
I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t
Give me a past-paper style question bank for the remainder theorem
I am in SS 3. Give me a bank of four exam-style questions on the remainder theorem, rangin
Give me a past-paper style question bank for indices
I am in SS 3. Give me a bank of four exam-style questions on the laws of indices at Furthe
Give me a past-paper style question bank for the binomial theorem
I am in SS 3. Give me a bank of four exam-style questions on the binomial expansion, rangi
Give me a past-paper style question bank for permutations and combinations
I am in SS 3. Give me a bank of four exam-style questions on permutations and combinations
Worked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
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: prove an argument invalid using a truth table
I am in SS 3. Show me a full worked example of testing a logical argument for validity usi