Red Green Green. a What is the probability that the counter is red?
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1 Camridge Essentials Mathematis Core 8 S End-of-unit Test S End-of-unit Test There are three ounters in a ag. Red Green Green One ounter is piked at random. a What is the proaility that the ounter is red? What is the proaility that the ounter is green? You want to add ounters to the ag to make sure the hane of piking up a red ounter is greater than the hane of piking up a green ounter. Desrie the ounters you would add to the ag. 2 a A normal die is thrown. On eah throw the proaility of getting a numer two is 6. Explain why. Red Green On 2 throws of the die it is ertain you will get 3 sixes. Is this true or false? True False Original material Camridge University Press 2009
2 Camridge Essentials Mathematis Core 8 S End-of-unit Test 3 This spinner is spun. a What is the proaility of spinning a numer 3? 2 3 What is the proaility of spinning an even numer? A die is thrown with the spinner. One result of throwing the die and the spinner is to get the result 6 +. Write down all the other different results you an get. At the end of term eah student is given a raffle tiket. The tale shows the numer of students in eah year. Year 0 Year 8 80 Year 9 0 A winning tiket is piked at random for eah of Year, Year 8 and Year 9. a What is the proaility of eing a winner in Year 8? 2 marks In whih year group is there the greatest hane of winning? Original material Camridge University Press
3 Camridge Essentials Mathematis Core 8 S End-of-unit Test a In a hall there are men, women and hildren. The proaility of piking a man at random is 0.3. The proaility of piking a woman at random is 0.. What is the proaility of piking a hild? The following day the proaility of piking a hild is 0.3. What is the proaility of not piking a hild? 6 In a game there are square ards, triangular ards, and irle ards. One ard is to e piked at random. Before the ard is piked, some irle ards are removed. What effet does this have on the proaility that a square ard will e piked? Tik the orret ox. The proaility has inreased dereased stayed impossile the same to tell In a ox there are 20 pens. There are red, lue and lak pens. A pen is to e taken out of the ox at random. Complete the tale elow. Colour of pen Red Numer of pens Proaility Blue 6 Blak 0 2 marks Original material Camridge University Press
4 Camridge Essentials Mathematis Core 8 S End-of-unit Test 8 At a shool fair the guests are eah given a tiket. The tale shows the olours and numers of the tikets. Colour Numers Green to 30 Yellow to 0 Pink to 0 One tiket is piked for the main prize. a What is the proaility the winning tiket will e yellow? What is the proaility the winning tiket will have the numer 2? Whih olour stands the least hane of winning? d The winning tiket is the numer. What is the proaility it will e a pink tiket? END OF ASSESSMENT Original material Camridge University Press 2009
5 Camridge Essentials Mathematis Core 8 S End-of-unit Test S End-of-unit Test Teaher Guidane Units overed: S., S.2, S.3 Guide to Levels. Level Desription Finding simple proaility e.g. when throwing oins Stating proaility as /n Stating proaility as a/n Adding proailities Listing outomes 6 Finding simple relative proailities Understanding the impliations of hanging proailities Finding the proaility of an event not ourring Finding the proaility of omined events Answers Question Level Mark Answer Notes a /3 2/3 2, 0 for 2,0 or any two numers suh that at least 2 more red than green are added 2 a Explain Explain for explanation e.g. outome out of 6 possile outomes for False and explanation e.g. proaility is only a predition 3 a 2 / 2/ = /2 Listing for /2 or equivalent 2 marks for all listings; for partial listing a /80 Year for Year or /0 a Inreased 6 2 3/0 /2 8 a d NB: Levels are approximate only. 0/20 = /3 3/20 Green /3 Suggested guidane on overall level ased on performane: Level Level Level 6 Level Total marks 8 marks s marks 20 marks NB: Levels are approximate only. 2 marks for all 3 orret, or for 2 orret for 0/20 or equivalent 3/20 or equivalent Original material Camridge University Press 2009
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