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Senior Secondary

Further Mathematics

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723 prompts matching "Explain why a matrix with zero determinant has no inverse"

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

Summarise the binomial theorem for quick revision

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

Summarise trigonometric identities and equations 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 polynomials and the remainder/factor theorems

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

Test me under exam conditions on the binomial theorem

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

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 polynomials and the remainder/factor theorems

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

Give me common mistakes students make in the binomial theorem

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

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

Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=

Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0

Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, for 0 <=

Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for

Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =

Worked example: find the determinant of [[5,2],[3,4]]

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

Worked 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

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

Give me a 5-minute recap of polynomial division

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of polynomial division,

Give 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,

Give me a 5-minute recap of trigonometric identities

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of trigonometric identit

Multi-part exam question on factorising trinomials

I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks

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