Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,329 prompts matching "Distance from a point to the centre of a circle"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
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 allShow 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,
Subscribe to unlock allProve 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
Subscribe to unlock allGP with 3rd term 18 and 6th term 486: find a and r
I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18
Subscribe to unlock allGive me an exam formula sheet for quadratic inequalities
I am in SS 3. Build me a short formula sheet covering every formula I need for solving qua
Subscribe to unlock allGive me an exam formula sheet for linear-quadratic simultaneous equations
I am in SS 3. Build me a short formula sheet covering every formula I need for linear-quad
Subscribe to unlock allGive me an exam formula sheet for polynomial operations
I am in SS 3. Build me a short formula sheet covering every formula I need for adding, sub
Subscribe to unlock allGive me an exam formula sheet for cubic equations
I am in SS 3. Build me a short formula sheet covering every formula I need for solving cub
Subscribe to unlock allGive me an exam formula sheet for functions
I am in SS 3. Build me a short formula sheet covering every formula I need for composite a
Subscribe to unlock allGive me an exam formula sheet for indices
I am in SS 3. Build me a short formula sheet covering every formula I need for the laws of
Subscribe to unlock allGive me an exam formula sheet for surds
I am in SS 3. Build me a short formula sheet covering every formula I need for simplifying
Subscribe to unlock allGive me an exam formula sheet for logarithms
I am in SS 3. Build me a short formula sheet covering every formula I need for the laws of
Subscribe to unlock allGive 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
Subscribe to unlock allGive 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
Subscribe to unlock allGive me an exam formula sheet for propositional logic
I am in SS 3. Build me a short formula sheet covering every formula I need for proposition
Subscribe to unlock allGive me an exam formula sheet for permutations and combinations
I am in SS 3. Build me a short formula sheet covering every formula I need for permutation
Subscribe to unlock allWorked 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
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
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