Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "IGCSE Additional Maths Y11: A vector proof set in the Cambridge 'show that' styl"
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 command word: sum of an arithmetic progression
I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n
Subscribe to unlock allWAEC exam question: mixed AP and GP problem
I am in SS 3. Give me a WAEC-style Further Maths question that mixes arithmetic and geomet
Subscribe to unlock allStructured question: permutations with repeated letters
I am in SS 3. Set me a structured question asking for the number of distinct arrangements
Subscribe to unlock allWAEC exam question: circular permutation with a condition
I am in SS 3. Give me a WAEC-style Further Maths question on circular permutations where t
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 allSimplify (8^(2/3) times 4^(-1/2)) fully
I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2
Subscribe to unlock allShow 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
Subscribe to unlock allSolve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f
Subscribe to unlock allStructured 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
Subscribe to unlock allBuild me a two-week countdown revision schedule
I am in SS 3. Build me a two-week countdown revision schedule covering all of the Further
Subscribe to unlock allStructured question: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
Subscribe to unlock allWAEC exam question: sequences applied to loan repayment
I am in SS 3. Give me a WAEC-style Further Maths question where a fixed amount is repaid e
Subscribe to unlock allLearn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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Quiz: The zero matrix as the identity for matrix addition
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for
Subscribe to unlock allSpot My Mistake: Why matrix subtraction is not commutative
Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not
Subscribe to unlock allLearn: The distributive law for a scalar over a sum of matrices
You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca
Subscribe to unlock allSpot My Mistake: Orders that make a product possible one way round but not the other
Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos
Subscribe to unlock allPractice: The transpose of a 2 by 3 matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the transpose
Subscribe to unlock allSpot My Mistake: A symmetric matrix, equal to its own transpose
Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i
Subscribe to unlock allPractice: A diagonal matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat
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