| Date | May 2018 | Marks available | 3 | Reference code | 18M.1.sl.TZ2.3 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Find | Question number | 3 | Adapted from | N/A |
Question
Last year a South American candy factory sold 4.8 × 108 spherical sweets. Each sweet has a diameter of 2.5 cm.
The factory is producing an advertisement showing all of these sweets placed in a straight line.
The advertisement claims that the length of this line is x times the length of the Amazon River. The length of the Amazon River is 6400 km.
Find the length, in cm, of this line. Give your answer in the form a × 10k , where 1 ≤ a < 10 and k ∈ \(\mathbb{Z}\).
Write down the length of the Amazon River in cm.
Find the value of x.
Markscheme
4.8 × 108 × 2.5 (M1)
Note: Award (M1) for multiplying by 2.5.
1.2 × 109 (cm) (A1)(ft)(A1)(ft) (C3)
Note: Award (A0)(A0) for answers of the type 12 × 108.
[3 marks]
640 000 000 (cm) (6.4 × 108 (cm)) (A1)
[1 mark]
\(\frac{{1.2 \times {{10}^9}}}{{6.4 \times {{10}^8}}}\) (M1)
Note: Award (M1) for division by 640 000 000.
= 1.88 (1.875) (A1)(ft) (C3)
Note: Follow through from part (a) and part (b)(i).
[2 marks]
