Date | May 2018 | Marks available | 3 | Reference code | 18M.1.SL.TZ2.T_3 |
Level | Standard Level | Paper | Paper 1 (with calculator from previous syllabus) | Time zone | Time zone 2 |
Command term | Find | Question number | T_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 ∈ .
Write down the length of the Amazon River in cm.
Find the value of x.
Markscheme
* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.
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]
(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]