Foundation January 2022 Paper 2 Q11
11 Here is a sequence of patterns made from counters.
(a) In the space below, draw Pattern number 4 (1)
(b) Complete the table.
(1)
| Pattern number | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| Number of counters | 3 | 6 | 9 |
(c) Work out the number of counters in Pattern number 10 (1)
Sven has exactly 70 counters.
(d) Can Sven make Pattern number 25 using his 70 counters?
Tick the appropriate box below.
Tick the appropriate box below.
☐ Yes ☐ No
Give a reason for your answer. (1)| Scheme | Marks |
|---|---|
 | B1 |
| (1) |
Notes
B1: correct diagram drawn
| Scheme | Marks |
|---|---|
| 12, 15 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 30 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
eg Pattern number 25 needs 75 counters (or 3 × 25 = 75) or 70 counters can make only up to Pattern number 23 \(\dfrac{70}{25} = 2.8\) or \(\dfrac{70}{3} = 23.(3….)\) 70 is 5 short or sight of e.g. \(3n\) or …69, 72, … 70 is not a multiple of 3 Answer: No and reason | B1 |
| (1) | |
| (4 marks) |
Notes
B1: ‘No’ with reason given (reason can be in words or shown as a calculation)