Intermediate November 2022 Unit 2 Q10
10.
(a) Express 21·76 as a percentage of 32. [2]
(b) Solve \(5t+3=3t+14\). [3]
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{21{\cdot}76}{32}\) (× 100%) or equivalent | M1 | Allow 0·68 to imply M1. |
| = 68 (%) | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(5t - 3t = 14 - 3\) OR \(3 - 14 = 3t - 5t\) | B1 | FT until 2nd error. |
| \(2t = 11\) OR \(-11 = -2t\) | B1 | |
| \(t = \dfrac{11}{2}\) or equivalent | B1 | Mark final answer. Correct answer implies B1B1B1. Do not allow \(-t = -11/2\) or \(t = -11/{-2}\). A final answer of ‘11 ÷ 2’ is B1B1B0. If FT leads to a whole number answer, it must be shown as a whole number. Otherwise, accept a fraction. Allow B1B1B1 for a correct embedded answer BUT only B1B1B0 if contradicted by \(t \neq 11/2\) or equivalent. |