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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.
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