|
|
Exam-Style Questions.Problems adapted from questions set for previous Mathematics exams. |
1. | GCSE Higher |
(a) The \(n\)th term of a sequence is \(2^n+2^{n+1}\)
Work out the 8th term of the sequence.
(b) The \(n\)th term of a different sequence is \(9(3^n + 3^{n+1})\)
Expand and express this expression as the sum of two powers of three.
2. | IB Applications and Interpretation |
In an old science fiction book the author described the intensity of reverse polarity, \(P\) measured in treckons, is a function of the nebula thrust, \(N\) measures in whovians. The intensity level is given by the following formula.
$$P = 7 \log_{10}(N \times 10^{8}), N \ge 0$$(a) An space shuttle has a nebula thrust of \(9.1 × 10^{-3}\) whovians. Calculate the intensity level, \(P\) of the shuttle.
(b) A different space shuttle has an intensity level of 112 trekons. Find its nebula thrust, \(N\).
3. | IB Analysis and Approaches |
The following is an arithmetic sequence: \( \log_7 8 \text{, } \log_7 a \text{, } \log_7 b \text{, } \log_7 64 \) where \(a \gt 1 \text{ and } b \gt 1\)
(a) Show that 8, \(a\), \(b\), and 64 are four consecutive terms of a geometric sequence.
(b) Find the values of \(a\) and \(b\)
If you would like space on the right of the question to write out the solution try this Thinning Feature. It will collapse the text into the left half of your screen but large diagrams will remain unchanged.
The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.
The solutions to the questions on this website are only available to those who have a Transum Subscription.
Exam-Style Questions Main Page
To search the entire Transum website use the search box in the grey area below.
Do you have any comments about these exam-style questions? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.
