Higher January 2019 Paper 2 Q6
6
\(A = 2^3 \times 5 \times 7^2 \times 11\)
\(B = 2^4 \times 7 \times 11\)
\(C = 3 \times 5^2\)
| Scheme | Marks | ||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| \(2 \times 2 \times 2 \times 2 \times 2 \times 3\) or \(2 \times 2 \times 2 \times 3 \times 5\) e.g.
| M1 | ||||||||||||||||||||||||
| 24 | A1 | ||||||||||||||||||||||||
| (2) |
Notes
M1: for one number written as product of prime factors number may be at the end of factor trees or on ‘ladder’ diagrams
or
Use of table method (allow 1 error), 2 examples shown but could have 2, 3, 4, 6, 12, 24 along the side
or
at least 2 factors for each (excluding 1, 96, 120)
A1: or \(2^3 \times 3\) oe
| Scheme | Marks |
|---|---|
e.g. | M1 |
| 646 800 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: for \(2^m \times 3^n \times 5^p \times 7^q \times 11^r\) with at least two of \(m = 4\), \(n = 1\), \(p = 2\), \(q = 2\), \(r = 1\) (or omission of one with others fully correct) NB: e.g. \(2^4\) could be \(2 \times 2^3\)
or
prime numbers may be seen in a Venn diagram – if so must be correctly placed
A1: or \(2^4 \times 3 \times 5^2 \times 7^2 \times 11\) oe