Question
The table shows the average temperature for Tromso, Norway each month.
(a) (i) Write down the month which had the highest average temperature.
(ii) How much warmer was it in September than in February?
(iii) The lowest temperature in October was 12.3°C below the average temperature for that
month.
Work out the lowest temperature in October.
(b) In a survey, some tourists were asked how they had travelled to Norway.
The pie chart shows the results.
(i) 150 of these tourists travelled by boat.
Show that 600 tourists took part in the survey.
(ii) Calculate the number of these tourists who travelled by plane.
(c) A train ticket from Oslo to Stavanger costs 885 krone.
There is a discount of 12% on the total cost of the tickets for a group of 10 or more people.
Calculate the cost of tickets for a group of 15 people.
(d) On 1 January 2000, the population of Norway was 4480 000, correct to 3 signifi cant fi gures.
(i) Write this number in standard form.
(ii) On 1 January 2011, the population of Norway was 4920000, correct to 3 signifi cant fi gures.
Calculate the percentage increase in the population.
Answer/Explanation
Answer:
(a) (i) July or Jul
(ii) 10.9
(iii) -9.6
(b) (i) \(150 \div \frac{90}{360}\) oe
(ii) 250
(c) 11682
(d) (i) \(4.48 \times 10^6\) cao
(ii) 9.82
Question
Pedro is on a cruise ship.
(a) The ship has a climbing wall.
These are the number of attempts that each of 30 people made at climbing the wall.
29 27 11 3 12 4 29 9 16 17 30 29 38 36 18
2 15 24 36 3 33 26 21 9 38 4 28 23 19 27
(i) Find the range.
(ii) Complete the frequency table.
You may use the tally column to help you.
(iii) Draw a bar chart to show this information.
Complete the scale on the frequency axis.
(iv) Write down the modal group.
(b) Pedro left the ship in Cadiz at 08:45.
He returned to the ship at 16:10.
Find how long Pedro was in Cadiz.
(c) Exchange Rate
$1 = €1.428
(i) Pedro changed $167 into euros (€).
Calculate how many euros Pedro received.
Give your answer correct to 2 decimal places.
(ii) Later, Pedro changed €107.10 back into dollars \(($) \)using the same exchange rate.
Calculate how many dollars Pedro received.
Answer/Explanation
Answer:
(a) (i) 36 cao
(ii) 5, 2, 3, 4, 3, 8, 1, 4
(iii) fully correct bar chart
(iv) 26 – 30 cao
(b) 7 (hours) 25 ( minutes) cao
(c) (i) 238.48
(ii) 75
Question
(a) On a map, the height of Hillibar Station is 1047m and the height of Sular Junction is 297m.
(i) Calculate the difference in these heights.
(ii) The temperature falls by 1°C for every 100m increase in height.
One day the temperature in Sular Junction is 19°C.
Work out the temperature at Hillibar Station.
(iii) Write 297 correct to the nearest ten.
(iv) Write 1047 correct to the nearest hundred.
(b) (i) Kim arrives at Hillibar Station at 1235.
The taxi to her hotel takes 27 minutes.
Work out the time Kim arrives at her hotel.
(ii) Henry takes 17 minutes to walk from his home to Sular Junction.
He must arrive there by 10 43.
Work out the latest time he can leave home.
(c) Here is part of a train timetable.
Each journey from Sular Junction to Hillibar Station takes the same time.
(i) Complete the timetable.
(ii) The distance between Sular Junction and Hillibar Station is 64km.
Calculate the average speed, in kilometres per hour, of a train between these two stations.
(iii) Joel arrives at Sular Junction at 1148.
At what time is the next train to Hillibar Station due to depart?
Answer/Explanation
Answer:
(a) (i) 750
(ii) 11, 11.5 or 12
(iii) 300
(iv) 1000
(b) (i) 13 02
(ii) 10 26
(c) (i) 16 24
(ii) 40 cao
(iii) 12 32