Exam-Style Questions.Problems adapted from questions set for previous Mathematics exams. |
1. | GCSE Higher |
(a) Write 90 as a product of its prime factors.
(b) Find the lowest common multiple (LCM) of 76 and 90.
3. | GCSE Higher |
Without using a calculator:
(a) Express 68 as the product of its prime factors.
(b) Divide 68 by 5 giving your answer in decimal format.
(c) Multiply 13.06 by 2.1
5. | GCSE Higher |
Show that 206 can be written as the sum of a power of five and a square number.
6. | GCSE Higher |
The number, \(N\), can be written as the product of prime factors in index form as:
$$N = 3 × 5^3 × x^4$$Work out \(5N^2\) as a product of prime factors in index form giving your answer in terms of \(x\).
7. | GCSE Higher |
Here is a list of five numbers.
$$57^{17} \quad 57^{61} \quad 57^{72} \quad 57^{83}$$(a) Find the lowest common multiple of these five numbers.
(b) Find the highest common factor of these five numbers.
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.