Foundation June 2023 Paper 2 Q10
10
(a) There are 1020 books in a box.
\(\dfrac{2}{5}\) of the books are blue.
How many are blue? [2 marks]
(b) There are green pens and red pens in the box.
The ratio of \(\quad\) green : red \(\quad\) is \(\quad\) 4 : 3
What fraction of the pens are green? [1 mark]
(c) There are some calculators in the box.
220 are scientific.
30 are not.
What percentage of the calculators are scientific? [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(1020 \div 5\ (\times 2)\) or \(204\ (\times 2)\) | M1 | oe |
| 408 | A1 | SC1 612 |
Additional guidance
| \(\dfrac{408}{1020}\) on answer line | M1A0 |
| Condone 408 out of 1020 | M1A1 |
| For \(0.4 \times 1020\), accept \(40\% \times 1020\) but do not accept 40% of 1020 unless recovered |
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{4}{7}\) | B1 | oe fraction |
Additional guidance
| Conversion to decimal or percentage | B0 |
| Answer | Mark | Comments |
|---|---|---|
| \(220 \div 250\ (\times 100)\) or 0.88 | M1 | oe |
| 88 | A1 | SC1 12 |
Additional guidance
Build-up methods must be correct or show correct method for each step