4MA0 Foundation January 2013 Paper 1 Q5
5 Here is a sequence of patterns made from buttons.
(a) In the space below, draw Pattern number 4 (1)
This rule can be used to find the number of buttons in a pattern.
Multiply the Pattern number by 3 and then add 1 to the result.
(b) Work out the number of buttons in Pattern number 8 (2)
(c) Work out the Pattern number of the pattern with exactly 55 buttons. (2)
| Scheme | Marks |
|---|---|
 | B1 |
| (1) |
Notes
B1: 4 circles on each arm + 1 circle in middle.
Accept circles with or without dots.
| Scheme | Marks |
|---|---|
| \(3 \times 8 + 1\) | M1 |
| 25 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \((55 - 1) \div 3\) or \(55 = 3\text{“}x\text{”} + 1\) or \(3 \times 18 + 1\) | M1 |
| 18 | A1 |
| (2) |
Notes
M1: brackets not necessary
A1: sc B1 for awrt 54.7