1,025 prompts matching "How many terms of an arithmetic progression lie between two values"
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Simplify the surd expression (2+sqrt5)^2
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra
Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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Worked example: simplify (3+2i) + (1-5i)
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Worked example: simplify (2+i)(3-4i)
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Worked example: simplify (4+3i)/(1-2i)
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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
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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
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Timed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
Spot 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
WAEC-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
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Spot my mistake in a quadratic inequality solution
I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Practice: Factorising a quadratic with a common factor taken out first
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WAEC Prep: A quadratic with a repeated root
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Practice: Working through a quadratic by completing the square, step by step
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