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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Quiz me on the why p implies q is true when p is false"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Explain Back: The elastic potential energy stored in a stretched string

I have just studied the elastic potential energy stored in a stretched string in my SS3 Fu

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Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming multiplying a ve

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Structured question: find and classify all stationary points

I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta

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Structured question: permutation versus combination in one paper

I am in SS 3. Give me a structured two-part question where part (a) requires a permutation

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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

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Structured question: binomial expansion used for a probability estimate

I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a

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WAEC past-question practice: matrices #3

I am in SS 3. Drill me with a WAEC-style question on multiplying a 2x3 matrix by a 3x2 mat

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WAEC past-question practice: matrices #5

I am in SS 3. Set a WAEC Further Mathematics multi-part matrix question: (a) find A+B, (b)

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Complex number arithmetic practice #1

I am in SS 3. Give me a complex number problem where z1 = 3 + 2i and z2 = 1 - 4i, find z1

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Complex number arithmetic practice #2

I am in SS 3. Give me a complex number problem where z1 = 2 - i and z2 = 4 + 3i, find z1 x

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Complex number arithmetic practice #3

I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)

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Show all working: vectors and forces combined question

I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force

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Solving f(x) = a given value

I am in SS 3. Quiz me with 4 short Additional Maths questions on solving an equation of th

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Order of matrices before multiplying

I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m

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Show that command word: laws of indices

I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr

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Show 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

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Show 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

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AP with 3rd term 11 and 8th term 31: find a and d

I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1

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GP 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

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Structured word problem: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

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