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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,333 prompts matching "Give me practice solving cubic equations"

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: converse, inverse, and contrapositive together

I am in SS 3. Set me a structured question where, for one given conditional statement, I m

Show that command word: biconditional equivalence

I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo

WAEC exam question: predicate logic quantifiers

I am in SS 3. Give me a WAEC-style question asking me to translate a statement using the u

Show all your working command word: permutation problem

I am in SS 3. Give me a permutation exam question that instructs 'show all your working',

WAEC 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

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

Structured question: probability using combinations, exam style

I am in SS 3. Give me a structured question where I must find a probability by dividing th

WAEC exam question: arranging books on a shelf with a rule

I am in SS 3. Give me a WAEC-style permutations question about arranging books on a shelf

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

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

Structured 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

WAEC exam question: full binomial expansion to a stated power

I am in SS 3. Give me a WAEC-style Further Maths question asking me to expand a binomial f

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

Show 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

Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

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

Show 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,

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

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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