Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,029 prompts matching "Learn: Telling a rational number from an irrational one"
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 angle between the vectors (1,2) and (3,-1) using the dot product
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Subscribe to unlock allWorked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Subscribe to unlock allWorked example: how many ways can 5 books be arranged on a shelf
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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: in how many ways can 6 people be seated around a circular table
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Subscribe to unlock allWorked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
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: expand (1-x)^4 fully and use it to estimate (0.98)^4
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 allShow that command word: quadratic factorisation
I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma
Subscribe to unlock allNon-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
Subscribe to unlock allHence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
Subscribe to unlock allStructured question: quadratic formula with exact surd answer
I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa
Subscribe to unlock allGive your answer correct to command word: quadratic formula
I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t
Subscribe to unlock allDiscriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Subscribe to unlock allFind alpha squared plus beta squared using sum and product
I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha
Subscribe to unlock allStructured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
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