Math 211 Chapter 1/2 Review
1. Sam has twice as many marbles as Tim, Rob has 9 more than Sam. If Rob, Sam & Tim have 44 marbles
combined, how many marbles does each one have? (find the answer using at least 2 strategies)
2. Find the sum shown below using more than one strategy.
1+2+3+…+78+79+80
3. If n(C) = 38, n(A) = 24 and n(B) =16, find the following values:
̅̅̅̅̅̅̅
a) The minimum possible value of n(𝐴
∪ 𝐵)=________
b) The minimum possible value of 𝑛(𝐴 ∩ 𝐵)=________
c) The maximum possible value of n(𝐵̅ ∪ 𝐴)=________
d) The maximum possible value of n(𝐵̅ ∩ 𝐴̅)=________
Pictures for scratch work Q3.
4. a) Write the base 10 numeral for 3213four.
b) Write the base 8 numeral for 762.
c) Convert 354six to a base 3 number.
5. In parts (a) and (b), set notation has been used to specify a set. Shade that set on the Venn diagram. In parts (c)
and (d), the Venn diagram is already shaded. Use set notation to identify the shaded area.
a)
 A  B  C
c) _______________________
b) 𝐴̅ ∩ (𝐵 ∪ 𝐶)
d)___________________________
6. What is the 234th term of this arithmetic sequence? 5, 14, 23, 32, 41, ….
7.
There are 33 students in an outdoor pursuit’s class. 18 like to hike, 10 like
to swim & 5 like to hike and swim. 6 like to bike and swim, 2 students like all
3. If 4 students do not like any of these activities, how many only like to
bike?
8.
Express 6372 in Egyptian, Roman, Babylonian and Mayan numerals