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 0845.
He returned to the ship at 1610.
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
Javier went to a carnival with his friends.
(a) He played five games of darts.
These are his scores.
160 58 45 82 125
(i) Work out his mean score.
(ii) Find the range.
(b) The 5000 tickets for the carnival are different colours.
The table shows the number of tickets of each colour.
| Colour of ticket | Red | Green | Blue | Pink | White |
| Number of tickets | 370 | 560 | 1800 | 1320 | 950 |
A ticket is picked at random.
Find the probability that this ticket is Blue.
(c) Five different types of food are sold at the carnival.
Javier chooses one of these types of food.
The table shows the probability that he chooses each type of food.
| Type of food | Curry | Fries | Pasta | Burger | Salad |
| Probability | 0.15 | 0.23 | 0.4 | 0.07 |
Complete the table.
(d) Javier hires a four-seater bike.
The hire cost is $8.50 for the first hour and then $7.75 for each extra hour.
Calculate the cost of hiring the bike for 5 hours.
$ …………………………………………
(e) The table shows the number of drinks sold by one stall at the carnival.
| Drink | Number sold |
| Tea | 70 |
| Orange | 60 |
| Water | 120 |
| Coffee | 180 |
| Smoothie | 40 |
Draw a bar chart to show this information.
Complete the scale on the frequency axis.
Answer/Explanation
Answer:
(a) (i) 94
(ii) 115
(b) \(\frac{1800}{5000}\) oe isw
(c) [0].15
(d) 39.5[0]
(e) Correct bar chart
Question
(a) Juan and his family fly from London to Rio de Janeiro.
(i) The plane departs at 10 20 and arrives in Rio de Janeiro 11 hours 40 minutes later.
The local time in Rio de Janeiro is 5 hours behind the local time in London.
Work out the time in Rio de Janeiro when the plane arrives.
(ii) The total cost of the plane tickets is 3500 pounds (£).
The exchange rate is £1 = 4.45 Brazilian Real.
Calculate the cost of the tickets in Brazilian Real.
………………………………… Real
(b) (i) Juan and his family go to a soccer match.
He buys 2 adult tickets and 2 child tickets.
The price of an adult ticket is 660 Brazilian Real.
The price of a child ticket is \(\frac{2}{3}\) of the price of an adult ticket.
Calculate the total cost of the tickets.
………………………………… Real
(ii) The length, x metres, of the soccer pitch is 105m, correct to the nearest metre.
Complete the statement about the value of x.
……………………………… \(\leq \) x < ………………………………
(c) The table shows how Juan and his family spent their time in Rio de Janeiro.
(i) Complete the table.
(ii) Complete the pie chart.
Answer/Explanation
Answer:
(a) (i) 1700 or 5pm
(ii) 15 575
(b) (i) 2200
(ii) 104.5
105.5
(c) (i) 30
20 72
(ii) Correct pie chart