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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The position of a point in space written as a vector"

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

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

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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: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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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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Real-life application of the quadratic formula

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Real-life application of combinations

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Real-life application of probability using combinatorics

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Real-life application of indices

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Real-life application of coordinate geometry

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Real-life application of the factor theorem

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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

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Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

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Discriminant classification exam question

I am in SS 2. Give me a short structured question where I must use the discriminant to sta

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Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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Quiz: Completing the square on x squared plus 6x

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Practice: Working through a quadratic by completing the square, step by step

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Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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