Ben Brawn

By powers of ten I mean a 1 followed by some 0s. The scientific notation questions will take care of the power of ten notation.

old question, way too many things in one question! I have made better questions out of each part now.

I think I prefer the other question I made called "Rounding to 0, 1, 2 and 3 decimal places"

Useful for a review of the base 10 number system before introducing different bases and also just ensuring students understand how the base 10 system works.

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Integers in bases from 2 to 9 and converting them to base 10.

Students seem to struggle with Sigma notation, this is a simple question to ensure they understand the index can change without affecting the sum.

Students seem to struggle with Sigma notation, this is about the easiest question possible for sigma notation.

Students seem to struggle with Sigma notation, this is about the easiest question possible for sigma notation.

Students seem to struggle with Sigma notation, this is about the easiest question possible for sigma notation.

Simple questions on interval notation. If you are not randomising the order of your questions please turn on randomise choices in these questions.

Simple questions on interval notation. If you are not randomising the order of your questions please turn on randomise choices in these questions.

Simple questions on interval notation. If you are not randomising the order of your questions please turn on randomise choices in these questions.

Simple questions on interval notation. If you are not randomising the order of your questions please turn on randomise choices in these questions.

Simple questions on interval notation. If you are not randomising the order of your questions please turn on randomise choices in these questions.

Just what the title says, I guess. I couldn't find a 0^0 that didn't converge to 1 except things like x^(1/ln(x)) as x->0, but they just need the e^ln() transformation, not L'hopital's rule!

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Simplifying expressions such as $b^{\log_b(x)}$ and $b^{\log_b(x)}$.

Just what the title says, I guess.

Just what the title says, I guess.

Just what the title says, I guess.

Multiple response question (4 correct out of 8) covering properties of convergent and divergent series and including questions on power series. Selection of questions from a pool.

Seven standard elementary limits of sequences. 

Multiple response question (4 correct out of 8) covering properties of convergent and divergent sequences and boundedness of sets. Selection of questions from a pool.

Basic question on limit laws and the squeeze theorem for sequences.

Often students need practice re-indexing series, these are three questions that give them that opportunity.

Test whether a student knows the divergence test of a series, and how to use it. Series include those that the diverence test is inconclusive for. This question could be better in that it could go through the working of determining the limit but I hope to make a separate question which deals with that.

This question tests to see if students can recognise a $p$-series and based on its $p$-value determine if it is convergent or divergent.

This question tests to see if students can recognise a geometric series and based on its common ratio determine if it is convergent or divergent.

Test whether a student knows the ratio test of a series, and how to use it. Series include those that the ratio test is inconclusive for. This question could be better in that it could go through the working of determining the limit but I hope to make a separate question which deals with that.