Higher November 2017 Paper 1 Q1
1.
(a) Write 360 as a product of prime factors using index notation. [3]
(b) In index notation, \(315 = 3^2 \times 5 \times 7\).
Find the highest common factor of 315 and 360. [2]
Find the highest common factor of 315 and 360. [2]
(c)
(i) Write \(5{\cdot}4 \times 10^{-4}\) in decimal notation. [1]
(ii) Find the value of \(\dfrac{1{\cdot}6 \times 10^{7}}{2 \times 10^{2}}\).
Give your answer in standard form. [2]
Give your answer in standard form. [2]
| Scheme | Marks | Comments |
|---|---|---|
| \(2^3 \times 3^2 \times 5\) | B3 | B2 for \(2\times2\times2\times3\times3\times5\) or B1 for an attempt at the factors (list, repeated division or factor tree) with two correct factors seen before the first error |
| Scheme | Marks | Comments |
|---|---|---|
| 45 | B2 | FT the HCF of \(3^2 \times 5 \times 7\) and ‘their \(2^3 \times 3^2 \times 5\)’ B1 for \(3^2\times5\) or for any common factor of 315 and 360 which is greater than 1 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) 0.00054 | B1 | |
| (ii) \(8 \times 10^4\) | B2 | B1 for \(0.8 \times 10^5\) seen or for a final answer of 80 000 |
| (8) |