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Senior Secondary

Further Mathematics

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1,045 prompts matching "A word problem that leads to an indicial equation"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Summarise polynomials and the remainder/factor theorems for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

Test me under exam conditions on trigonometric identities and equations

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on tr

Give me common mistakes students make in trigonometric identities and equations

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se

Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

Worked 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

Worked 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

Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

Structured question: solve and check a quadratic equation

Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat

Timed practice: five quadratic equations by factorisation

I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor

Worked Example: Factorising a quadratic whose leading coefficient is not one

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

Show All Working: Choosing between factorising and the formula

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee

Common Mistakes: A sign error in the formula, and how to catch it

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a s

Quiz: Finding the sum and the product without solving the equation

Act as my SS2 Further Mathematics tutor and quiz me on finding the sum and the product wit

Practice: Forming an equation from a given sum and product

Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ

Common Mistakes: Roots that are reciprocals of one another

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on roo

Final Revision: One root twice the other, and what that gives

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of o

Show All Working: Forming an equation whose roots are three alpha and three beta

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa

Show All Working: A simultaneous pair in which the second equation is a circle

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous

Quiz: The leading term and the constant term

Act as my SS2 Further Mathematics tutor and quiz me on the leading term and the constant t

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