Foundation November 2021 Paper 1 Q22
22
(a) Lucy wants to simplify \(\quad 6a - (7b - 2a)\)
She writes \(\quad 4a - 7b\)
Is she correct?
Tick a box.
- Yes
- No
Give a reason for your answer. [1 mark]
(b) Lucy also wants to simplify \(\quad 3p^2 \times 5p^7\)
She says,
“Add 3 and 5, then add 2 and 7”
Her answer is \(\quad 8p^9\)
Tick a box for each part of her method. [1 mark]
| Correct | Not correct | |
|---|---|---|
| Add 3 and 5 | ||
| Add 2 and 7 |
(c) Lucy thinks of a number.
\(10 \times\) the number \(=\) \(10 \div\) the number
Give a possible value of the number. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| No and correct reason | B1 | eg it should be \(8a\) two minuses make it \(+\ 2a\) |
Additional guidance
| No and \(8a - 7b\) | B1 |
| No and \(4a\) should be \(8a\) | B1 |
| No and two minuses make it plus | B1 |
| No and it should be \(+\ 2a\) | B1 |
| No and \(4a\) is wrong | B1 |
| No and \(8a + 7b\) | B0 |
| Answer | Mark | Comments |
|---|---|---|
| Not correct for Add 3 and 5 and Correct for Add 2 and 7 | B1 |
Additional guidance
Accept any clear indication of their answer
| Answer | Mark | Comments |
|---|---|---|
| 1 or \(-1\) | B1 | oe fraction eg \(\dfrac{10}{10}\) |
Additional guidance
| Embedded answer eg \(10 \times 1 = 10 \div 1\) | B0 |
| 1 and \(-1\) or \(\pm 1\) | B1 |