914 prompts matching "One-to-one versus many-to-one functions"
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Summarise vectors for quick revision
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Give me common mistakes students make in polynomials and the remainder/factor theorems
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Give me common mistakes students make in vectors
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Explain why Further Maths topics connect to each other
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Create flashcard questions for Further Maths topics
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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Real-life application of probability using combinatorics
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Real-life application of vectors
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Real-life application of the factor theorem
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Real-life application of the condition for a line to be tangent to a curve
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Cambridge-style structured question: factorise x^2 + 9x + 20
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^