1,334 prompts matching "Universal set and its role in set problems"
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: three-part algebra question mixing methods
I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati
Structured question: three linked function sub-questions
I am in SS 3. Give me a structured question with three parts on the same pair of functions
Solve 2^(3x-1) = 16 with full working
I am in SS 3. Give me the exponential equation 2^(3x-1) = 16 as an Additional Maths style
Solve 5^(x+2) = 125^(x-1) with full working
I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio
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
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
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
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
Differentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1
I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q
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 an exam formula sheet for sum and product of roots
I am in SS 3. Build me a short formula sheet covering every formula I need for sum and pro
Give me an exam formula sheet for coordinate geometry
I am in SS 3. Build me a short formula sheet covering every formula I need for lines and c
Give me an exam formula sheet for trigonometric identities and equations
I am in SS 3. Build me a short formula sheet covering every formula I need for proving ide
Give me an exam formula sheet for sequences and series
I am in SS 3. Build me a short formula sheet covering every formula I need for arithmetic
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 sum and product of roots
I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran
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