Foundation January 2023 Paper 1 Q3
3 A sequence of patterns is made from squares.
(a) In the space below, draw Pattern number 4 (1)
(b) Complete the table.
(1)
| Pattern number | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| Number of squares | 1 | 4 | 7 |
(c) Work out the number of squares in Pattern number 8 (1)
Angus says
“there are 42 squares in Pattern number 15”
Angus is incorrect.
(d) Explain why. (1)
| Scheme | Marks |
|---|---|
 Answer: Correct shape | B1 |
| (1) |
| Scheme | Marks | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
Answer: 10 and 13 | B1 | ||||||||||
| (1) |
Notes
B1: for 10 and 13
| Scheme | Marks |
|---|---|
| 22 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 10 13 16 19 22 25 28 31 34 37 40 43 or 3 × 15 – 2 (= 43) and 3 × 14 – 2 (= 40) or (42 + 2) ÷ 3 (= 14.6….) Answer: Correct reason | B1 |
| (1) | |
| (4 marks) |
Notes
B1: for correct reason, for e.g.
\(3n - 2 = 42\) does not have a whole number (integer) answer/it’s a decimal or
42 is a multiple of 3 or
42 is in the 3 times table or
40 and 43 are in the sequence or
40 is in the sequence and 40 + 3 does not equal 42 or
its 1 less than 43