Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,044 prompts matching "Checking that the roots found satisfy the original equation"
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 magnitude of the vector (3,4)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Subscribe to unlock allWorked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Subscribe to unlock allWorked example: find the unit vector in the direction of (6,8)
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Subscribe to unlock allWorked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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Subscribe to unlock allWorked example: expand (x+2)^5 fully using the binomial theorem
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Subscribe to unlock allWorked example: find the term in x^3 in the expansion of (2x-1)^6
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: find the coefficient of x^4 in the expansion of (1+3x)^7
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: construct the truth table for (p AND q) OR (NOT p)
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Subscribe to unlock allWorked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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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: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
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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 allGive me a 5-minute recap of completing the square
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of completing the square
Subscribe to unlock allGive me a 5-minute recap of the quadratic formula
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the quadratic formula
Subscribe to unlock allGive me a 5-minute recap of the remainder theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the remainder theorem
Subscribe to unlock allGive me a 5-minute recap of the factor theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the factor theorem, c
Subscribe to unlock allGive me a 5-minute recap of the binomial theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the binomial theorem,
Subscribe to unlock allExpress in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
Subscribe to unlock allStructured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
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