866 prompts matching "proving a statement is a tautology"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve for command word: quadratic trigonometric equation
I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,
Find the sum to infinity command word
I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric
Structured question: the constant term in a binomial expansion
You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi
Show that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
WAEC exam question: rate of change problem
I am in SS 3. Give me a WAEC-style Further Maths question involving a rate of change, such
Find the range of values command word: increasing function
I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the
Timed 20-minute Further Maths exam practice
I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering
WAEC exam question: the converse, the inverse and the contrapositive
Act as my SS3 Further Mathematics examiner. Set me an exam-standard question on the conver
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
Determine command word: validity of an argument
I am in SS 3. Give me an exam question phrased 'determine whether the following argument i
Quiz me on logic symbols and their meanings
I am in SS 3. Quiz me by giving me logic symbols one at a time, such as negation, conjunct
Explain back: converse and contrapositive
I am in SS 3. Let me explain in my own words the difference between the converse, the inve
WAEC exam question: testing an argument with a truth table
I am in SS 3. Give me a WAEC Further Maths exam question with a two-premise argument, and
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',
Structured question: permutations with repeated letters
I am in SS 3. Set me a structured question asking for the number of distinct arrangements
Explain back: difference between permutations and combinations
I am in SS 3. Let me explain in my own words why order matters for permutations but not fo
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
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-part algebra question mixing methods
I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati