Foundation June 2018 Paper 2 Q11
11 Nick has a 6-digit code.
He remembers it as three 2-digit numbers.
The first number is between 10 and 20
The second number is 3 times the first number.
The third number is 5 times the first number.
All six digits are different.
Work out the code. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Any one of 123660 1339(65) 1442(70) 1545(75) 164880 1751(85) 185490 195795 | M1 | must be evaluated correctly number pairs may be shown separately eg \(15 \times 3 = 45\) (and \(15 \times 5 = 75\)) \(16 \times 3 = 48\) and \(16 \times 5 = 80\) |
| At least two of 123660 1339(65) 1442(70) 1545(75) 164880 1751(85) 185490 195795 or 18 and 54 and 90 | M1dep | must be evaluated correctly number pairs may be shown separately |
| 185490 | A1 |
Additional guidance
| 185490 | M1M1A1 |
| The digits in brackets are not required for the M marks as duplication has already been shown but if seen must be correct | |
| Answer 18 54 90 18 54 90 | M2A1 |
| 185490 written in first three spaces with nothing else on the answer line | M2A1 |
| 185490 written in first three spaces followed by other numbers | M2A0 |
| For the final mark do not accept miscopies to the answer line |