Foundation June 2024 Paper 1 Q4
4 Here are the first three dot patterns in a sequence.
(a) Draw Pattern 4 in the sequence. [1]
(b) Without drawing, work out how many dots are in Pattern 10 of the sequence.
Explain how you worked out your answer. [2]
Explain how you worked out your answer. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
 | 1 | May be drawn at the end of the sequence Ignore extras | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 31 | 1 | Answer must not come from a drawing See appendix | |
| Add 3 to each pattern \(3n + 1\) or \(3 \times 10 + 1\) or \(10 + 21\) | 1 | ||
Appendix
Exemplar responses for Q4(b)
| Response | Mark |
|---|---|
| P[attern] 4 = 13, p 5 = 16, p 6 = 19, p7 = 22, p8 = 25, p9 = 28, p10 = 31 | 1 1 |
| Goes up by 3 each time so 7 x 3 = 21 = 31 (10 was amount of dots on last diagram) | 1 1 |
| 31. Horizontal dots increase by 2 each time and vertical dots increase by 1 each time | 1 1 |
| 31 Its 10 up, 10 to the left, 10 to the right and 1 in the middle | 1 1 |
| 31 patterns go up 3 | 1 1 |
| 31. I added 3 six times. | 1 0 |
| 31 It doesn’t give any numbers | 1 0 |
| 31 by using the calculator | 1 0 |
| 31. I added 3 | 1 0 |
| 28 dots in pattern 10. I counted the dots in pattern 4 and added 3 six times. | 0 1 |
| 30. All patterns gain 3 as they get bigger. | 0 1 |