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Senior Secondary

Further Mathematics

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188 prompts matching "Prove that (1-cos^2x)/sinx = sinx"

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Common Mistakes: Checking an inverse by working the operation both ways

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on che

Show All Working: Simplifying an expression with letters and indices

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Common Mistakes: Why the index laws need the bases to match

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Common Mistakes: Writing a root as a fractional index before simplifying

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Common Mistakes: An indicial equation solved by substitution

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Show All Working: The common logarithm, to base ten

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on the common loga

Common Mistakes: Reading a logarithm from a table

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Show All Working: Solving a simple logarithmic equation

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Show All Working: Comparing logarithms given in different bases

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Show All Working: Deciding whether a given number is a term of a sequence

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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Common Mistakes: An arithmetic progression with a negative common difference

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Show All Working: The sum of the terms lying between two given positions

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Common Mistakes: Proving the sum formula by pairing the terms

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Show All Working: A geometric progression with a fractional common ratio

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Common Mistakes: Inserting a geometric mean between two numbers

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Show All Working: The sum to infinity of a geometric progression, and when it exists

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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Show All Working: Writing the solution of an inequality as a set

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on writing the sol

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