4MA0 Foundation June 2014 Paper 2R Q17
17 Here is a sequence of patterns made from white centimetre squares and grey centimetre squares.
This rule can be used to find the total number of centimetre squares in each pattern.
Multiply the Pattern number by 3 and then add 1
(a) Work out the total number of centimetre squares in Pattern number 6 (1)
(b) Work out the number of white centimetre squares in Pattern number 20 (1)
A pattern in this sequence has a total of 88 centimetre squares.
(c) Work out the Pattern number of this pattern. (2)
| Scheme | Marks |
|---|---|
| 19 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 41 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| (88 − 1) ÷ 3 | M1 |
| 29 | A1 |
| (2) | |
| (Total 4 marks) |
Notes
M1: \(3n + 1 = 88\) or (88 − 1) ÷ 3 or \(2n + 1 + n = 88\) or 19, 22, 25, 28, 31, 34………