Foundation November 2023 Paper 2 Q16
16
(a) Here are the first five terms of a sequence.
4 8 12 16 20
(i) Write down the next term of the sequence. [1]
(ii) Kai says
All of the terms in the sequence are even numbers.
402 is an even number.
Therefore, if the sequence is continued, 402 will be in the sequence.
Is Kai correct?
Give a reason for your decision. [1]
(b) Here are the first five terms of another sequence.
0.25 0.5 1 2 4
(i) Write down the next term of the sequence. [1]
(ii) Explain how you worked out your answer. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) 24 | 1 | ||
| (ii) No [because] 402 is not a multiple of 4 oe | 1 | See Appendix 3 | |
Appendix
Appendix 3 Q16aii
| Response | Mark | |
|---|---|---|
| 1 | No, it goes up in 4’s the closest number to that is 400 [or 404] | 1 |
| 2 | No, if we kept adding 4 it would go 400 then 404. | 1 |
| 3 | No, \(100 \times 4 = 400\) so \(101 \times 4 = 404\) | 1 |
| 4 | 4 does not divide into 402 and 4 is the commonality of the sequence | 1 |
| 5 | the numbers are multiples of 4 | 1 |
| 6 | No, not all even numbers will be in the sequence (not incorrect but not describing why 402 isn’t in the sequence) | 0 |
| 7 | No, there will be no 02 in the number (not incorrect but not enough without saying why) | 0 |
| 8 | No, it goes up in 4s not 2s. | 0 |
| 9 | No, the sequence is going up in 4’s. | 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) 8 | 1 | ||
| (ii) Multiply by 2 oe | 1 | See Appendix 4 | |
Appendix
Appendix 4 Q16bii
| Response | Mark | |
|---|---|---|
| 1 | each number is doubled. | 1 |
| 2 | X2 every time you go up. | 1 |
| 3 | I multiplied the next term x 2. | 1 |
| 4 | You double 4. | 1 |
| 5 | The terms keep adding itself to get the next number. | 1 |
| 6 | You add the number by itself to give the next number. | 1 |
| 7 | the number that is added on is doubled for the next number | 1 |
| 8 | +4 (accompanied with the correct patterns on the sequence oe is acceptable) | 1 |
| 9 | +4 (alone does not score) | 0 |
| 10 | Half each number. | 0 |