Foundation November 2022 Paper 2 Q4
4
(a) Write \(\dfrac{19}{4}\) as a mixed number. [1]
(b) Write \(1\dfrac{7}{9}\) as an improper fraction. [1]
(c) Sam says that \(\dfrac{7}{8}\) written as a decimal is 0.78.
Is Sam correct?
Show how you decide.
.................... because ........................................ [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(4\dfrac{3}{4}\) | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{16}{9}\) | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| No and [0].875 or No and \(\dfrac{39}{50}\) or No and \(0.78 = \dfrac{780}{1000}\) and \(\dfrac{7}{8} = \dfrac{875}{1000}\) | 2 | B1 for 0.87 to 0.88 or M1 for \(\dfrac{78}{100}\) oe | Allow equivalents for no e.g. incorrect Allow for 2 marks \(\dfrac{87.5}{100}\) with \(\dfrac{78}{100}\) Also allow 87.5[%] with 78[%] seen See AG |
Appendix
Appendix Q4c
| Response | Mark | |
|---|---|---|
| No | ||
| 1 | 0.78 is 78% otherwise known as 78/100 (M1 for 78/100, but no comparison) | 1 |
| 2 | The answer would be 78/100 which isn’t equivalent to 7/8. (if we saw 39/50 this would score 2) | 1 |
| 3 | 0.78 is 78/100 which doesn’t simplify to 7/8. (if we saw 39/50 this would score 2) | 1 |
| 4 | you can't use the numerator and denominator together to equal a decimal | 0 |
| 5 | 7/8 = 0.9 it is close to a whole number | 0 |
| 6 | 7/8 is almost a whole fraction so it would be more than 78% | 0 |
| 7 | 78/10 is 0.78 | 0 |