Ivan has a piece of lumber 104 inches long. He is sawing it into 12-inch lengths to make fence posts. He says he can get about 9 fence posts out of the board. Is this reasonable? Why or why not?
No, it is not reasonable. He will get only 8 posts, with one 8 inch piece left over.
100
863 / 8
107 R7
100
is 72 a prime or composite number?
Composite
100
Mr. Rodriguez needs to store 10 test tubes in racks that hold 4 test tubes each. How many racks does he need? Write an equation and solve.
10 / 4 = R
R = 2 R2
Mr. Rodriguez will need 3 racks.
200
36,000 / 3
12,000
200
Samantha has 45 books. She can pack 7 in each box. How many boxes can she completely fill? How many books will be left?
6 boxes filled, 3 books leftover
200
972 / 9
108
200
Is 23 a prime or composite number?
Prime
200
Aaron has 186 photographs. Each page in his album holds 8 photographs. How many pages in the album will he use for his photographs? Write an equation and solve.
186 / 8 = P
P = 23 R2
Aaron will use 24 pages from the album.
300
Estimate: 641 / 6
660 / 6 = 110
300
Dana invited 35 people to a party. Bottled soda comes in packages of 6 bottles. How many packages must Dana buy in order to have enough soda for each guest to have 1 bottle?
6 packages
300
Kelly wants to divide 563 cards into 7 groups. How many cards will be in each group?
563 / 7 = 80 R3
80 cards in each group, with 3 cards leftover
300
What is the prime factorization of 42?
3 x 2 x 7
300
A group of 168 students is on a field trip. They are doing a ropes course at a local camp. If 8 students can start the ropes course together at one time, in how many groups must the students go through the course?
168 / 8 = G
G = 21
There will be 21 groups.
400
411 / 2
400 / 2 = 200
400
There are 48 students going on a field trip. Each van holds 10 students. If every van but the last one is full, how many students will be in the last van?
8 students
400
Suppose there were 8 cowboys that herded 104 cattle. If each cowboy herded the same number of cattle, how many animals was each cowboy responsible for?
13 animals
400
List all the factors of 128
1, 2, 4, 8, 16, 32, 64, 128
400
Gretchen is packing books in boxes to move. She has 118 books, and each box holds 6 books. How many boxes will she need to move all of the books? Write an equation and solve.
118 / 6 = B
B = 19 R4
Gretchen will need 20 boxes.
500
If you estimate 342 / 7 by using 350 / 7 = 50, is 50 an overestimate or underestimate? How do you know?
It is greater than the actual answer, because 342 rounded up to 350.
500
There are 60 students attending a field trip. One chaperone is needed for every 8 students. How many chaperones are needed?
8 chaperones
500
Juan is sorting school newsletters. There are 9 classrooms in the fifth grade. Each classroom has the same number of students. He has 240 newsletters. How many newsletters will each classroom get? Interpret the remainder.
Each classroom will get 26 newsletters. He will have 6 newsletters left over.
500
List all the factors of 72
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
500
Betty made a batch of cookies. She put the cookies 3 across on a cookie sheet, and she baked 5 full sheets for a total of 75 cookies. How many cookies did she put in each column on the cookie sheet? Write an equation and solve.
3 x C = T
T x 5 = 75
T = 15 cookies per sheet
C= 5 cookies per column
Betty put 5 cookies in each column.