Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "Quiz: The direction cosines of a vector in three dimensions"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Worked example: find the distance between the points (1,2) and (4,6)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Subscribe to unlock allWorked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Subscribe to unlock allWorked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Subscribe to unlock allWorked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Subscribe to unlock allReal-life application of the quadratic formula
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the qu
Subscribe to unlock allReal-life application of combinations
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where combin
Subscribe to unlock allReal-life application of probability using combinatorics
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where probab
Subscribe to unlock allReal-life application of indices
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where indice
Subscribe to unlock allReal-life application of coordinate geometry
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where coordi
Subscribe to unlock allReal-life application of the factor theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the fa
Subscribe to unlock allSpot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Subscribe to unlock allWAEC-style multi-mark question on completing the square
I am in SS 2. Give me a WAEC Further Maths style completing the square question worth four
Subscribe to unlock allStructured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve
Subscribe to unlock allExplain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Subscribe to unlock allPractice: Working through a quadratic by completing the square, step by step
Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug
Subscribe to unlock allExplain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Subscribe to unlock allSpot My Mistake: Completing the square when the roots are not real
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Subscribe to unlock allWorked Example: Substituting a, b and c into the quadratic formula correctly
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Subscribe to unlock allPractice: Giving the roots correct to two decimal places
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Subscribe to unlock allSpot My Mistake: What the formula gives when the discriminant is nought
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