Question 3.8.1   Jim uses a sensor to measure his hear…

Question 3.8.1   Jim uses a sensor to measure his heart rate before he starts running. He starts running and measures his heart rate every five minutes. After his run, he draws a graph.       Use the graph to help you answer the question.   Click on the button below to open the picture of the graph.     What is Jim’s heart rate before he starts running? beats per minute. (1)

QUESTION 2:   A bag contains 5 red balls and 3 blue ba…

QUESTION 2:   A bag contains 5 red balls and 3 blue balls. Chris takes three balls at random from the bag, without replacement.   2.1 Sketch a tree diagram representing the events of taking the balls out of the bag. (Include all probabilities) (3) 2.2 Show that the probability of drawing exactly one red ball is . (4)      

QUESTION 3:   Mr. and Mrs. Ahmed with their two childr…

QUESTION 3:   Mr. and Mrs. Ahmed with their two children, and Mr. and Mrs. Baker with their three children, are visiting an activity centre together. They will divide into groups for some of their activities.   3.1 In how many ways can the 9 people be divided into a group of 6 and a group of 3? (3) 3.2 5 of the 9 people are selected at random for a particular activity. Find the probability that this group of five contains all three of the Baker children. (3) 3.3 All nine people stand in a line.     Find the number of arrangements in which Mr. Ahmed is not standing next to Mr. Baker.    (3) 3.4 Find the number of different arrangements in which there is exactly one person between Mr. Ahmed and Mr. Baker.    (3)