Foundation June 2019 Paper 2 Q6
6 Here is a sequence of patterns made from sticks.
(a) In the space below, draw Pattern number 4 (1)
(b) How many sticks are needed to make Pattern number 7? (2)
(c) Work out the Pattern number of the pattern made from exactly 62 sticks. (2)
Pedro says,
“There will be a pattern in the sequence with exactly 123 sticks.”
(d) Is Pedro correct?
You must give a reason for your answer. (1)
You must give a reason for your answer. (1)
| Scheme | Marks |
|---|---|
| Correct shape drawn | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 7, 12, 17, 22, 27, 32, 37 or 5 × 7 + 2 or 17 + (4 × 5) 7 + (6 × 5) | M1 |
| 37 | A1 |
| (2) |
Notes
M1: for adding 5 and continuing to at least pattern 7 (allow one error) or for a correct diagram or any correct method which would lead to 37
| Scheme | Marks |
|---|---|
| 7, 12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62 or 5n + 2 = 62 or 62 ÷ 5 (= 12.4) | M1 |
| 12 | A1 |
| (2) |
Notes
M1: for continuing the sequence to at least 62 (list of values may be seen in earlier parts of question)
| Scheme | Marks |
|---|---|
| For identifying all terms in sequence end in 2 or 7 or none of the numbers end in 3 or method to count on as far as 122 e.g. No, 122 and 127 are both in sequence oe e.g. No, 122 in sequence or method to find n when term is 123 e.g. solving 5n + 2 = 123 or (123 – 2) ÷ 5 (= 24.2) or e.g. 121 not multiple of 5 or 121 ÷ 5 not whole number/it’s a decimal Answer: No with reason | B1 |
| (1) | |
| (6 marks) |