Area and Perimeter
Dakota built a picture frame with a perimeter of 50 inches. It is 14 inches long. How wide is it?
11 inches wide
14+14=28
50-28=22
22/2=11
A water jug has a capacity of 3 1/2 gallons. How many times will the coach have to fill a 2-cup measuring cup to fill the water jug?
1g = 16c
The coach will fill the measuring cup 28 times.
3 1/2g = 56c
56 / 2 = 28
A new jacket costs $65.89. How much change should you get if you give the salesperson four $20 bills?
$34.11 back in change
$100 - $65.89 = $34.11
Jude is creating a line plot showing the capacity of train cars. He needs to plot the following tons 75, 85, 95, 70, 90, 85, 75, 80, 75.
What is the difference in tons between the heaviest and lightest load?
What is the most common load?
x
x x
x x x x x x
70 75 80 85 90 95
95 - 70 = 25 tons 75 tons is the most common
On every train car there are two connectors, one at the front and one at the back. These connectors are there so each car can be linked with another car. If a train has 30 cars, how would you find out the number of connections made if there is an engine and a caboose?
Since 30 cars are joined between an engine and a caboose, 30 connections are made.
A sandbox is shaped like a rectangle. Its area is 48 square feet. The side lengths are whole numbers. What are possible dimensions for this sandbox?
1 x 48 or 48 x 1
2 x 24 or 24 x 2
3 x 16 or 16 x 3
4 x 12 or 12 x 4
6 x 8 or 8 x 6
Judah collects rocks. Each rock in his collection weighs 4 ounces. His collection weighs 12 pounds in all. How many rocks are in his collection?
1 lb = 16 oz
48 rocks in her collection
12 lbs x 16 oz = 192 oz
192 / 4 = 48
Diego buys a poster that costs $8.15. He pays for the poster with a $10 dollar bill and one quarter. How much change should he receive?
$2.10 back in change
$10.25 - $8.15 = $2.10
Lorelei and Isla are making a line plot of class pets. They plot the following data: 0,1,2,3,4,5,6,0,1,2,3,5,0,1,3,0,1,3,0,1,1
Create a line plot for this data.
What is the total number of pets in Mrs. Landry's class?
0: 5 1: 6 (1 x 6 = 6)
2: 2 (2 x 2 = 4)
3: 4 (3 x 4 = 12)
4: 1 (4 x 1 = 4)
5: 2 (5 x 2 = 10)
6:1 (6 x 1 = 6)
6 + 4 + 12 + 4 + 10 + 6 = 42
There are 42 pets.
Logan is putting 3 ice cubes in each red cup and 4 ice cubes in each blue cup. The cups alternate color starting with red. How many ice cubes will he use if he has 15 cups?
R B R B R B R B R B R B R B R
R: 8 x 3 = 24
B: 7 x 4 = 28
24 + 28 = 52 ice cubes
Mrs. Landry is putting tile down in her kitchen. The kitchen is 16 feet long and 8 feet wide. The tile costs $5 per square foot. How much will it cost Mrs. Landry to tile her kitchen?
16 x 8 = 128 square feet
128 x 5 = $640
1 kg = 1,000 g
100 pillows
30 kg = 30,000 g
30,000 / 300 = 100
Roy bought a skateboard that cost $37.74. How much change will he get back if he paid with two $20 bills?
$2.26 back in change
$40.00 - $37.74 = $2.26
Jackie and Chaya are making a line plot of common shoe sizes. The data list is:
4, 7, 9, 9, 6, 5, 7, 8, 8, 8, 9, 6, 8, 6, 6, 5, 6, 6, 8, 6
Make a line plot of the data and find the most common shoe size.
4: 1 The most common size is 6.
5: 2
6: 7
7: 2
8: 5
9: 3
Claire spends 5/10 of an hour on the phone, 6/12 of an hour reading, and 3/6 of an hour on the computer. Calculate which activity she spends the most time on.
20 bonus points if you can convert the time of her activities.
5/10 = 1/2
6/12 = 1/2
3/6 = 1/2
She spends the same amount of time on each activity; 30 minutes.
Sophia planted a rectangular garden that is 20 feet long. She placed 56 feet of fencing around her garden. Draw and label a sketch of her garden. What is the width of her garden? What is the area?
56 - 40 = 16
16 / 2 = 8
Width: 8 feet
Area: 20 x 8 = 160 square feet
The trail to a waterfall is 2 1/3 miles long. Signs are placed at the beginning and the end of the trail. There are also signs placed at each 1/3 mile mark along the trail. How many signs are there on the trail?
There are 4 signs. They are marked at:
0
1/3
1 1/3
2 1/3
Nevaeh's family used a $20 bill to pay the $17.85 lunch bill. What are three different combinations of coins and bills that can be used to make the change?
$20.00 - $17.85 = $2.15
Examples of possible combinations:
2-$1 bills, 1 dime, 1 nickel
1-$1 bill, 4 quarters, 15 pennies
8 quarters, 3 nickels
Colby and Ava are helping at the fishing derby. They are making a line plot of the fish that were caught. The data is:
24 1/2, 25 3/4, 26 1/4, 25 1/4, 23, 22 1/4, 22 3/4,
21 1/4, 25 1/4, 25 1/4, 24 1/2, 22 3/4, 22 1/4, 27
Make a line plot and find the difference between the longest and shortest fish. Which length has the most?
21 1/4: 1 22 1/4: 2 22 3/4: 2
23: 1 24 1/2: 2 25 1/4: 3
25 3/4: 1 26 1/4: 1 27: 1
27 - 21 1/4 = 5 3/4 inches
The most common length is 25 1/4 inches long.
Colbie, Jordyn, Sofia and Vanissa are all planting in a community garden. If each of their plots holds 7 rows and 13 columns, how many plants will they be able to grow all together?
7 x 13 = 91
91 x 4 =364
Together they can grow 364 plants.
An art class is planning to paint a rectangular mural with an area of 60 square feet. It has to be at least 4 feet high but no more than 6 feet high. How long could it be if the length and width have to be whole numbers?
4 x 15 = 60
5 x 12 = 60
6 x 10 = 60
Could be 15, 12, or 10 feet long.
A runner finished a race in 2 hours 32 minutes. A walker finished the same race in 5 hours 8 minutes. How much faster was the runner's time than the walker's time?
1h = 60mins
The runner finished 2 hours 36 minutes faster than the walker.
x = 5h 8min - 2h 32min
= 4h 68min - 2h 32min
=2h 36min
Matthew buys tickets to a play for him and 3 friends. The tickets cost $5.86 each. He also buys a popcorn to share that cost $4.23. How much change will he receive if he uses ten dollar bills to pay?
$5.86 x 4 = $23.44
$23.44 + $4.23 = $27.67
(3 ten dollar bills are needed)
$30.00 - $27.67 = $2.33
Christabella is helping the office organize flyers to go home. The data she is given is:
Kindergarten: 5 classes (22, 19, 20, 22, 21)
First Grade: 5 classes (20, 20, 21, 22, 20)
Second Grade: 5 classes (23, 22, 19, 20, 21)
Third Grade: 5 classes (23, 23, 24, 21, 22)
Fourth Grade: 5 classes (24, 22, 24, 23, 23)
What is the most common class size? How many students in the school?
19: 2 20: 5 21: 4 22: 6 23: 5 24: 3
The most common class size is 22.
(19x2)+(20x5)+(21x4)+(22x6)+(23x5)+(24x3)
18+100+84+132+115+72=521
There are 521 students in school.
Julius is training for a marathon. He runs for 2 miles and then walks for a half mile. If he trains by running 22 miles every day, how many miles will he walk?
22/2 =11 miles running
11 x 1/2 = 5 1/2 miles walking
He walks 5 1/2 miles a day.