Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,328 prompts matching "Practice: A cubic with one real root and two complex ones"
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: 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
Subscribe to unlock allShow that command word: Pascal's triangle row sums to a power of 2
I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries
Subscribe to unlock allStructured 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
Subscribe to unlock allSolve x^2 - 6x - 16 = 0 with full exam working
I am in SS 3. Give me the equation x^2 - 6x - 16 = 0 as an Additional Maths exam question
Subscribe to unlock allSolve x^2 + 13x + 40 = 0 with full exam working
I am in SS 3. Give me the equation x^2 + 13x + 40 = 0 as an Additional Maths exam question
Subscribe to unlock allSolve 2x^2 - 5x - 12 = 0 with full exam working
I am in SS 3. Give me the equation 2x^2 - 5x - 12 = 0 as an Additional Maths exam question
Subscribe to unlock allSolve 5x^2 + 13x - 6 = 0 with full exam working
I am in SS 3. Give me the equation 5x^2 + 13x - 6 = 0 as an Additional Maths exam question
Subscribe to unlock allSolve x^2 - 2x - 35 = 0 with full exam working
I am in SS 3. Give me the equation x^2 - 2x - 35 = 0 as an Additional Maths exam question
Subscribe to unlock allSolve 4x^2 - 12x + 5 = 0 with full exam working
I am in SS 3. Give me the equation 4x^2 - 12x + 5 = 0 as an Additional Maths exam question
Subscribe to unlock allSolve x^2 + 7x - 18 = 0 with full exam working
I am in SS 3. Give me the equation x^2 + 7x - 18 = 0 as an Additional Maths exam question
Subscribe to unlock allSolve 3x^2 + x - 14 = 0 with full exam working
I am in SS 3. Give me the equation 3x^2 + x - 14 = 0 as an Additional Maths exam question
Subscribe to unlock allChoose your own method command word: solving a quadratic
I am in SS 3. Give me a quadratic equation and ask me to solve it by whichever method I th
Subscribe to unlock allShow 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
Subscribe to unlock allSolve 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
Subscribe to unlock allStructured 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
Subscribe to unlock allFind the centre and radius from x^2+y^2-6x+8y-11=0
I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski
Subscribe to unlock allStructured 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
Subscribe to unlock allShow 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
Subscribe to unlock allDifferentiate 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
Subscribe to unlock allGive 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
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