1. ACE Project 2
p. 32 (21, 22, 25, 28, 31, 36)

2. 21)Find all the common multiples of 4 and 11 that are less than 100.56 11 8 60 22 12 64 33 16 68 44 20 72 55 24 76 66 28 80 77 32 84 88 36 99 40 92 96 48
100 52

3. 100 fans in 1 row 50 fans in 2 rows 25 fans in 4 rows
22) The Olympic photograph below inspired a school pep club to design card displays for football games. Each display uses 100 square cards. At a game, groups of 100 volunteers will hold up the cards to form complete pictures. They are most effective if the volunteers sit in a rectangular arrangements. What rectangular seating arrangements are possible?
100 fans in 1 row
50 fans in 2 rows
25 fans in 4 rows
20 fans in 5 rows
10 fans in 10 rows
The dimensions of each rectangular arrangement are factor pairs of 100.
100 * 1 = 100, 50*2 = 100, 25 * 4 = 100,
20 * 5 = 100, 10 * 10 = 100

4. 25) What is my number?
Clue 1 – My number has two digits, and both digits are even.
Could be 28, 46, or 64 but not 72 so D is out
Clue 2 – The sum of my number’s digits is 10.
2 + 8 = 10, = 10, = 10
Clue 3 – My number has 4 as a factor.
4 * 7 = 28, 4 * 16 = 64, nothing times 4 equals 46 so B is out
Clue 4 – The difference between the two digits of my number is 6.
8 – 2 = 6, 6 – 4 = 2 so C is out and the answer must be A!

5. 28) Allie’s eccentric aunt, May Belle, hides $10,000 in $20 bills under her mattress. If she spends one $20 bill every day, how many days will it take her to run out of bills?
May Belle will run out of $20 bills in 500 days.

6. 31) Which number is a prime number?
F – Factor Pairs of 91: 1, 91 and 7,13
91 is Composite
G – Factor Pairs of 51: 1, 51 and 3, 17
51 is Composite
H – Factor Pairs of 31: 1, 31
31 is Prime
J – Factor Pairs of 21: 1, 21 and 3, 7
21 is Composite

7. 36a) Find at least 5 numbers that belong in each region of the Venn Diagram below.
Multiples of 12
Multiples of 20 20 40 80
100
140 12 24 36 48 72 60
120
180
240
300
1, 2, 3, 4, 5 and etc

8. 36b) What do the numbers in the intersection have in common?
The numbers in the intersection are common multiples of 12 and 20.
In other words, they are both multiples of 12 and 20.