) M9 Test Name: Class: The table shows the distribution of the weekly earnings, E, of a sample of students ) This table shows the ages of people recorded in a marriage register Weekly earnings ( E) Frequency < x < < x < < x < < x < < x < (students / ) raw a histogram to illustrate these data 7 Weekly earnings ( E) [] ge (x years) Frequency < x < < x < < x < 9 < x < < x < 9 8 ge (x years) Construct a histogram to represent the data [] ) The histogram below shows the length of time spent by young people on a beach one afternoon ) This histogram shows the distribution of ages of employees in a company (number of people per minute) (employees per year) 8 7 ge (years) (a) How many employees are aged and over? 7 (a)... [] Time spent on the beach (minutes) (b) Show that % of the employees are aged between and How many people were on the beach in total?... people [] []
) This frequency table shows the distribution of the ages of people in a cinema on Monday ge (a years) Frequency < a < < a < < a < < a < < a < < a < (a) Complete Histogram below to show this distribution [] Histogram (b) Histogram shows the distribution of people in the cinema on Tuesday Frequency ensity Histogram Frequency ensity 7 8 9 ge (years) 7 8 9 ge (years) Make two comments comparing the two distributions...... [] ) The following graph is a histogram showing the weights of babies born during one week at a maternity hospital 7) (babies per kg) 8 o Not to scale Weight (kg) T (a) How many babies weighed more than kg? (a)...[] (b) Show that the following statements are true (i) There are babies in the sample....[] (ii) f the babies in the sample, % weighed between and kilograms....[] is the centre of the circle ngle = o T is a tangent to the circle at Prove that angle T = o
8) o 9) o s r T E C is the centre of the circle T is the point of contact of a tangent to the circle Work out angles r and s Give a reason for each answer r =... o because......[] s =... o because......[] circle diameter C passes through The tangent E touches the circle at ngle C = o Calculate angle E, giving a reason for each step of your calculation......[] ) Triangle C is inscribed in a circle The tangent E touches the circle at C ngle C = 88 o ngle CE = o ) 88 P o o S Q E R Not to Scale (a) Explain how you know that C is not the diameter of the circle... C []... (b) Calculate the size of angle C Explain your answer, giving clear geometrical justifications...[] PQ and PR are tangents to the circle with centre ngle PSR = o ngle QPS = o Calculate the size of angle PR Explain your answer clearly......[] ngle PQR =... o []
) straight line graph has equation y = x (a) Write down any other equation parallel to this line (a)... (b) Write down any other equation perpendicular to this line (b)... ) (a) Write down an equation which is perpendicular to the line y = x (a)... (b) Write down an equation which is perpendicular to the line y = x + (b)... [] [] [] [] ) Find the equation of the line perpendicular to y = x + y? x... [] ) straight line passes through the points (,7) and (,). Give an equation perpendicular to this line. ) golf club has 9 members This table shows the composition of the membership Junior dult Senior Male Female 7 8 8 7... [] To sample opinion about a new club house, a stratified sample of members is to be interviewed Work out how many adult female members should be interviewed.... []
7) The number of employees in the departments of a firm are shown in 8) The table shows the age distribution of employees in a large factory the table The company directors want to make a change in working hours. They decide to send out a questionnaire to of the employees. epartment Number of employees (a) Calculate how many employees from each age group Customer queries are needed to make a stratified sample ccounts ata processing Personel 9 8 Total 7 The management wants to interview a stratified sample of employees Calculate how many employees from the accounts department should be interviewed ge in years (y) < y < < y < < y < < y < Total Number of employees [] (b) State one advantage of using a stratified sample rather than a random sample 7 7 8 Sample size... []. [] TTL MRKS