Name : ______________________ ( ) Class: __________ Date: __________________ Fundamental Concepts & Set Theory - QUIZ Question 1: Suppose that : [13] π΄ = { 1 , 2 , 3 , 6 , 7 } , π΅ = { 4 , 7 , 12 , 2 , 3 } , πΆ = { 1 , 3 , 2 , 7 , 8 , 9 } , π· = { 7 , 3 , 1 , 2 , 6 } π = β€ Fill in the symbols β , β , β , β , β , β for the following: a) π΄ _____ π· b) { 4 , 7 , 12 } _____ π΅ c) 6 _____ πΆ d) { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 12 } _____ π΅ e) 7 _____ π· f) β
_____ πΆ g) π΄ _____ π h) π· _____ β i) π _____ β j) 30 _____ π k) π΅ _____ π· l) π _____ π΄ m) β _____ π Question 2: Please write down the cardinality of the following sets: [3] a) πΈ = { 1 , 4 , 1 , 2 } π ( πΈ ) = ______ b) πΉ = { 1 , 2 , 3 , 5 , 8 } βͺ { 6 , 7 , 9 } π ( πΉ ) = ______ c) πΊ = { 1 , 2 , 3 , 6 , 9 } β© { 7 , 12 , 5 , 1 , 6 } π ( πΊ ) = ______ Question 3: The following questions are about set - builder notation: [6] a) Please write down this set into roster notation: π» = { π π : π , π β β€ , 0 β€ π β€ 2 , β 3 β€ π < 0 } __________________________________________________________________________________ _________________________________ _________________________________________________ b) Please rewrite this set into set - builder notation: πΎ = { Odd numbers } __________________________________________________________________________________ ___________________ _______________________________________________________________ Question 4: Please answer the following Venn Diagram question: Question 5: The average thickness of ice in the North Pole has been decreasing due to global warming. a) In May 2000, the thickness is around 0.05% of the depth of the ocean in the North pole, which is 4000 metres in average. Find the thickness of ice in May 200 0. [2] __________________________________________________________________________________ __________________________________________________________________________________ b) After 21 years , the thickness of ice is now 1.8 metres. Fi nd the percentage change from M ay 2000 to May 2021. Is this a percentage increase or a decrease? [3] __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ c) What was the thickness of ice in May 1980 if the thickness is decreased by 28 % from May 2021? [3] __________________________________________________________________________________ __________________________________________________________________________________ ________________ __________________________________________________________________ __________________________________________________________________________________ Question 6: Ben has deposited $10,000 into an American savings account paying 2 % per week of compound in terest to his deposit. Note that there are 52 weeks in a year. a) How much will he earn if he leaves his deposit in the account for 1 year? [3] __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ b) How muc h will he earn if the account was compounding continuously for 1 year ? [3] __________________________________________________________________________________ __________________________________________________________________________________ _ _________________________________________________________________________________ T h e formula for compound interest : πΌ = π ( 1 + π π ) ππ‘