Date | November 2017 | Marks available | 3 | Reference code | 17N.1.SL.TZ0.T_3 |
Level | Standard Level | Paper | Paper 1 (with calculator from previous syllabus) | Time zone | Time zone 0 |
Command term | Find | Question number | T_3 | Adapted from | N/A |
Question
The speed of light is 300000 kilometres per second. The average distance from the Sun to the Earth is 149.6 million km.
A light-year is the distance light travels in one year and is equal to 9467280 million km. Polaris is a bright star, visible from the Northern Hemisphere. The distance from the Earth to Polaris is 323 light-years.
Calculate the time, in minutes, it takes for light from the Sun to reach the Earth.
Find the distance from the Earth to Polaris in millions of km. Give your answer in the form a×10k with 1⩽a<10 and k∈Z.
Markscheme
* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.
149600000300000×60 (M1)(M1)
Note: Award (M1) for dividing the correct numerator (which can be presented in a different form such as 149.6×106 or 1.496×108) by 300000 and (M1) for dividing by 60.
=8.31 (minutes) (8.31111…, 8 minutes 19 seconds) (A1) (C3)
[3 marks]
323×9467280 (M1)
Note: Award (M1) for multiplying 323 by 9467280, seen with any power of 10; therefore only penalizing incorrect power of 10 once.
=3.06×109 ( = 3.05793…×109) (A1)(A1) (C3)
Note: Award (A1) for 3.06.
Award (A1) for ×109
Award (A0)(A0) for answers of the type: 30.6×108
[3 marks]