The following items are intended for practice only of the ...
Name___________________________________Date______________________________________
(4B)
The chart below shows the amount of salt used in four different recipes. Use the chart to answer questions 1 and 2.
| | |
|Food |Amount of |
| |Salt (Tsp) |
| |[pic] |
|Snicker doodles | |
| |[pic] |
|French Dressing | |
| |[pic] |
|Stuffed Peppers | |
| |[pic] |
|Pecan Filling | |
1. Which recipe used the greatest amount of salt?
Snicker doodles
French dressing
Stuffed Peppers
Pecan Filling
2. Which recipe used the least amount of salt?
Snicker doodles
French dressing
Stuffed Peppers
Pecan Filling
(4B)
3. Which list has the fractions listed in order from least to greatest?
[pic] [pic] [pic]
[pic] [pic] [pic]
[pic] [pic] [pic]
[pic] [pic] [pic]
4. Which list has the fractions listed in order from greatest to least?
[pic] [pic] [pic]
[pic] [pic] [pic]
[pic] [pic] [pic]
[pic] [pic] [pic]
5. Which list below has the mixed numbers listed in order from greatest to least?
4[pic] 2[pic] 7[pic]
2[pic] 4[pic] 7[pic]
7[pic] 2[pic] 4[pic]
7[pic] 4[pic] 2[pic]
(4B)
Five friends picked strawberries.
The chart below shows how many quarts they each picked. Use the chart to answer questions 6 – 8.
|NAME |NUMBER OF QUARTS |
|Audrey |5[pic] |
|Katie |4[pic] |
|Victor |5[pic] |
|Bryce |4[pic] |
|Mia |4[pic] |
6. Who picked the most quarts of strawberries?
Audrey
Katie
Victor
Bryce?
7. How many people picked fewer quarts of strawberries than Mia did?
1
2
3
4
8. How many people picked more quarts of strawberries than Katie did?
1
2
3
4
(4B)
The chart below shows the distance from home to school for several students. Use the chart to answer questions 9 and 10.
|Student |Distance in Miles |
|Peggy |8[pic] |
|Claire |8[pic] |
|Dalton |7[pic] |
|Shane |7[pic] |
9. Stephen lives in between Claire and Dalton. Which could be the distance he lives from school?
7[pic] miles
7[pic] miles
8[pic] miles
8[pic] miles
10. How many people live more than 8[pic] miles from school?
0
1
2
3
(4B)
Adam and his friends had a pizza-eating contest. The chart shows how many mini pizzas each contestant ate. Use the chart to answer questions 11 – 13.
CONTESTANT PIZZAS EATEN
Adam 6[pic]
Bill 5[pic] Colin 5[pic]
Donnie 5[pic]
11. Which boy ate the fewest pizzas?
Adam
Bill
Colin
Donnie
12. Who ate the most pizzas?
Adam ***
Bill
Colin
Donnie
13. How many boys ate more than 5 pizzas?
1
2
3
4
(4B)
Tom, Harry, Ellen and Sue brought potato salad to the picnic. The chart shows how much potato salad each person brought.
Use the chart to answer questions 14 – 15.
|Boy |Potato Salad |
| |Pounds |
|Tom |8[pic] |
|Harry |8[pic] |
|Ellen |8[pic] |
|Sue |7[pic] |
14. Which list below lists the people in order of amount of potato salad brought to the picnic from least to greatest?
Sue Ellen Harry Tom
Sue Harry Ellen Tom
Sue Tom Harry Ellen
Sue Tom Ellen Harry
15. Jake brought more potato salad than Sue but less than Tom. Which could be the amount of potato salad than Jake brought?
7[pic]
7[pic]
8[pic]
8[pic]
Name________________________________ Draw a ring around the correct answer.
1. [pic] is closest to: 0 [pic] 1
2. [pic] is closest to: 0 [pic] 1
3. [pic] is closest to: 0 [pic] 1
4. [pic] is closest to: 0 [pic] 1
5. [pic] is closest to: 0 [pic] 1
6. Write the missing numerators to make each fraction be close to[pic]:
[pic] [pic] [pic] [pic]
7. Write the missing numerators to make each fraction be a little less than 1:
[pic] [pic] [pic] [pic]
8. Write a fraction that is close to 0.
9. Write a fraction that is close to but not equal to[pic].
10. Write a fraction that is close to but not equal to 1.
Name____________________________________Date________________________________ Part 2
(4D)
1. Caroline walked [pic]of a mile in just eight minutes. Which best describes this distance?
a little less than [pic]of a mile
a little less than [pic] a mile
a little more than [pic] a mile
a little more than 1 mile
2. Susan ate[pic]of a pound of pasta. Which best describes this amount?
close to 0 pounds
a little less than 1 pound
between 1 and 1[pic]pounds
a little less than 2 pounds
3. Benji saved [pic]of his pizza for another day. Which could be the amount of pizza saved?
almost 0
a little less than [pic]
a little less than 1
a little more than 1
(4D)
4. Marcy lives [pic]of a mile from school. Which best describes this distance?
close to 0
about [pic]
a little less than 1
a little more than 1
5. Latasha bought [pic]of a yard of cloth to make a banner for her class. What is another way to describe this?
close to 0
about [pic]
a little less than 1
a little more than 1
6. Cathy had [pic]of a pound of buttons to sort. Which could be the amount of buttons she had?
close to 0
a little less than [pic]
a little more than [pic]
a little more than 1
(4D)
7. Robert bought 2[pic]pounds of delicious, smooth, creamy milk chocolate all for himself. Which best describes this amount?
A little less than 2 pounds
A little more than 2 pounds
A little less than 3 pounds
A little more than 3 pounds
8. Robert’s sister, Pam, had 5[pic]pounds of white chocolate that she decided not to share with Robert. About how much chocolate did Pam have?
a little less than 5 pounds
a little more than 5 pounds
a little less than 6 pounds
a little more than 6 pounds
9. Pam’s baby brother, Tony, weighs 25[pic]pounds. Which amount best describes Tony’s weight?
less than 25 pounds
a little more than 25 pounds
a little less than 26 pounds
more than 26 pounds
(4D)
10. Margaret picked between 10[pic] and 11[pic] quarts of blueberries. Which shows how many quarts Margaret picked?
11[pic]
10[pic]
10[pic]
10[pic]
11. The fifth graders hiked between
2[pic]and 4[pic]kilometers in order to raise money for charity. How many kilometers did they hike?
2[pic]
2[pic]
4[pic]
4[pic]
12. It took Joshua between 3[pic] and
4[pic] hours to type his report on the computer. Which could be the amount of time spent typing?
4[pic]hours
4[pic] hours
4[pic] hours
4[pic] hours
10. Between 10[pic] and 11[pic]
10 11 12
11. between 2[pic]and 4[pic]
2 3 4 5
12. between 3[pic] and 4[pic]
3 4 5
Name____________________________________Date______________________________ Part 3
(4G)
1. Draw an X on the line that best represents[pic].
2. Draw an X on the line that best represents[pic].
3. Draw a ring around the dot that indicates [pic]on the number line.
4. Draw a black dot on the number line to show[pic].
5. Draw a black line through the number line at the spot that best represents[pic].
(4G)
6. Put a heavy black line through the number line below to show [pic]
7. Draw an X on the line that best represents [pic]
8. Put a heavy black line through the number line to indicate where [pic]is located.
9. Draw a black dot to show[pic].
10. Put an X on the line segment that best represents[pic].
Name___________________________________Date____________________________ Part 4
(8A)
1. [pic] + [pic] +
[pic]
[pic]
[pic]
[pic]
2. [pic] - [pic] =
[pic]
[pic]
[pic]
[pic]
(8A)
3. [pic]
— [pic]
[pic]
[pic]
[pic]
[pic]
4. [pic]
+ [pic]
[pic]
[pic]
[pic]
1
(8A)
5. [pic] + [pic] =
[pic]
[pic]
[pic]
[pic]
6. [pic]
+ [pic]
[pic]
[pic]
[pic]
[pic]
7. [pic] - [pic] =
[pic]
[pic]
[pic]
[pic]
8. [pic]
- [pic]
[pic]
[pic]
[pic] ***
[pic]
(8A)
9. 2[pic] + 1[pic] =
3[pic]
1[pic]
3[pic]
[pic]
6. 1[pic]
+ 1[pic]
1[pic]
2[pic]
1[pic]
[pic]
7. 3[pic] - 3[pic] =
[pic]
[pic]
6[pic]
6[pic]
8. 2[pic]
- 1[pic]
3[pic]
3[pic]
1[pic] ***
[pic]
(8A)
9. 7[pic] - 2[pic] =
5[pic]
9[pic]
5[pic] ***
9[pic]
10. 4[pic]
- 2[pic]
2[pic]
2[pic]
2[pic]
2[pic] ***
11. 5[pic] + 4[pic]
9[pic]
9[pic] ***
9[pic]
9[pic]
12. 6[pic]
- 3[pic]
3
6
9
18
(8A)
13. 8[pic] + 2[pic] =
10[pic]
11[pic]
11
10
14. 12[pic]
- 8[pic]
5
4[pic]
4[pic]
4[pic]***
15. 2[pic] + 3[pic] =
5
5[pic]
6 ***
6[pic]
16. 4[pic] + 3[pic] =
7[pic]
8[pic]
7
8 ***
Name________________________________Date__________________________________ Part 5
(11A)
1. A bus started out with 6[pic]gallons of gas in the tank. The driver added 15[pic] more gallons of gas. About how many gallons of gas are now in the tank?
Fewer than 20 gal
A little more than 20 gal
A little less than 30 gal
More than 30 gal
2. The Chora family stopped for a picnic after driving 42[pic] miles. After the picnic, they drove 9[pic] miles further and reached Mystic Seaport. About how many miles did they drive in all?
Fewer than 40 miles
A little more than 40 miles
A little less than 50 miles
More than 50 miles
3. At the county fair, 22[pic] gallons of pink lemonade and 39[pic]gallons of regular lemonade were sold on Saturday. About how many gallons of lemonade were sold that day?
A little more than 60 gal
A little less than 60 gal
A little more than 70 gal
A little less than 70 gal
(11A)
4. The grocery store had a sale on grapes. They sold 82[pic]lbs of red grapes and 61[pic]lbs of black grapes. About how many more pounds of red grapes than black grapes were sold?
Fewer than 10 lbs
A little more than 10 lbs
A little less than 20 lbs
A little more than 20 lbs
5. The kitchen used 57[pic] square feet of wallpaper. The bathroom used 31[pic] square feet of wallpaper. About how many square feet of wallpaper were used?
A little less than 80
A little more than 80
A little less than 90
A little more than 90
6. Mrs. Ahern used 28[pic] yards of material for new family room drapes. She also used 11[pic] yards of material for the new bathroom curtains. About how many more yards of material did she use in the family room than in the bathroom?
Fewer than 10 yds
A little less than 10 yds
A little less than 20 yds
A little more than 20 yds
(11A)
7. Last week Mr. Carpenter worked 38[pic] hours. This week he worked only 28[pic] hours. About how many more hours did he work last week than this week?
Less than 10 hrs
A little more than 10 hrs
A little less than 20 hrs
More than 20 hrs
8. Mrs. Consonni drove 58[pic]miles to a mall. She shopped a while, stayed overnight, and then drove 22[pic] miles the next day to another mall to do more shopping. About how many more miles did Mrs. Consonni drive the first day than the second day?
A little less than 30
A little more than 30
A little less than 40
A little more than 40
9. Mrs. Martineau spent 10[pic]hours correcting math papers last week. She spent 18[pic]hours correcting writing papers this week. About how many more hours did she spend correcting writing papers than math papers?
a little less than 10 feet
a little more than 10 feet
a little less than 20 feet
a little more than 20 feet
(11A)
10. Mr. Collins rode his bike 12[pic]miles.
Then he had a flat tire and had to walk 6[pic]miles. About how many miles did he travel altogether?
A little less than 10
A little more than 10
A little less than 20
A little more than 20
11. The marmot, the largest member of the squirrel family, has a body 35[pic] inches long. Its tail is 12[pic]inches long. About how many inches longer is the body than the tail?
A little less than 20
A little more than 20
A little less than 10
A little more than 10
12. Tom was 57[pic]inches tall last year. He grew 1[pic]” this year. About how many inches tall is he now?
a little less than 60
a little more than 60
a little less than 70
a little more than 70
Name____________________________Date_________________________ (25A)
Cindy and Jeff were camping with their family. They and their dad went to the water pump to bring back water to their camp site. Dad had filled 6 buckets without handles. He labeled each bucket with the fractional amount of water each bucket held. The amounts are shown below.
Cindy and Jeff each have a bucket the same size as the buckets that Dad filled, but their buckets had handles. Their job is to pour all the water in the 6 buckets into their 2 buckets and carry the buckets back to camp in one trip.
• All the water in the 6 buckets without handles must fit into Cindy’s and Jeff’s buckets.
• Show which buckets Jeff should pour into his bucket.
• Show which buckets Cindy should pour into her bucket.
• Show how you determined your answer.
Name__________________________________Date_____________________________ (25A)
Dean and Scott were camping with their family. They and their dad went to the water pump to bring back water to their camp site. Dad had filled 6 buckets without handles. He labeled each bucket with the fractional amount of water each bucket held. The amounts are shown below.
Dean and Scott each have a bucket the same size as the buckets that Dad filled, but their buckets had handles. Their job is to pour all the water in the 6 buckets into their 2 buckets and carry the buckets back to camp in one trip.
• All the water in the 6 buckets without handles must fit into Dean’s and Scott’s buckets.
• Show which buckets Dean should pour into his bucket.
• Show which buckets Scott should pour into his bucket.
• Show how you determined your answer.
The following items are intended for practice only of the 4th Generation CMT content and format, not for instruction of concepts. Much teaching must precede the use of these items to ensure children’s success both in mathematics and on the CMT.
Topic 5: Adding and Subtracting Fractions
PACKET 1 – October 18, 2007
➢ 2B. Relate fractions [sets and regions] to pictures and vice versa.
PACKET 2 – October 21, 2007
➢ 2B. Relate mixed numbers to pictures and vice versa.
➢ 2C. Identify and/or shade fractional parts of regions, sets or mixed numbers in pictures.
➢ 3A. Rename equivalent fractions.
PACKET 3 – October 22, 2007
➢ 3B. Rename equivalent improper fractions as mixed numbers and vice versa.
PACKET 4 – October 28, 2007
➢ 4B. Order fractions and mixed numbers.
➢ 4D. Describe magnitude of fractions and mixed numbers.
➢ 4G. Locate fractions on number lines and scales. [Open-Ended Questions]
➢ 8A. Add and subtraction fractions and mixed numbers with like denominators
➢ 11A EXTRA PRACTICE Not Directly Related to Topic 5: Estimate a reasonable answer to fraction problems.
➢ 25A EXTRA PRACTICE Not Related to Topic 5: Solve extended numerical, statistical
and spatial problems.
Name___________________________________Date______________________________________
(4B)
The chart below shows the amount of salt used in four different recipes. Use the chart to answer questions 1 and 2.
| | |
|Food |Amount of |
| |Salt (Tsp) |
| |[pic] |
|Snicker doodles | |
| |[pic] |
|French Dressing | |
| |[pic] |
|Stuffed Peppers | |
| |[pic] |
|Pecan Filling | |
1. Which recipe used the greatest amount of salt?
Snicker doodles
French dressing
Stuffed Peppers ***
Pecan Filling
2. Which recipe used the least amount of salt?
Snicker doodles
French dressing
Stuffed Peppers
Pecan Filling ***
(4B)
3. Which list has the fractions listed in order from least to greatest?
[pic] [pic] [pic]
[pic] [pic] [pic]
[pic] [pic] [pic] ***
[pic] [pic] [pic]
4. Which list has the fractions listed in order from greatest to least?
[pic] [pic] [pic]
[pic] [pic] [pic]
[pic] [pic] [pic]
[pic] [pic] [pic] ***
5. Which list below has the mixed numbers listed in order from greatest to least?
4[pic] 2[pic] 7[pic]
2[pic] 4[pic] 7[pic]
7[pic] 2[pic] 4[pic]
7[pic] 4[pic] 2[pic] ***
(4B)
Five friends picked strawberries.
The chart below shows how many quarts they each picked. Use the chart to answer questions 6 – 8.
|NAME |NUMBER OF QUARTS |
|Audrey |5[pic] |
|Katie |4[pic] |
|Victor |5[pic] |
|Bryce |4[pic] |
|Mia |4[pic] |
6. Who picked the most quarts of strawberries?
Audrey ***
Katie
Victor
Bryce?
7. How many people picked fewer quarts of strawberries than Mia did?
1 ***
2
3
4
8. How many people picked more quarts of strawberries than Katie did?
1
2
3
4 ***
(4B)
The chart below shows the distance from home to school for several students. Use the chart to answer questions 9 and 10.
|Student |Distance in Miles |
|Peggy |8[pic] |
|Claire |8[pic] |
|Dalton |7[pic] |
|Shane |7[pic] |
9. Stephen lives in between Claire and Dalton. Which could be the distance he lives from school?
7[pic] miles
7[pic] miles
8[pic] miles ***
8[pic] miles
10. How many people live more than 8[pic] miles from school?
0
1
2 ***
3
(4B)
Adam and his friends had a pizza-eating contest. The chart shows how many mini pizzas each contestant ate. Use the chart to answer questions 11 – 13.
CONTESTANT PIZZAS EATEN
Adam 6[pic]
Bill 5[pic] Colin 5[pic]
Donnie 5[pic]
11. Which boy ate the fewest pizzas?
Adam
Bill
Colin ***
Donnie
12. Who ate the most pizzas?
Adam ***
Bill
Colin
Donnie
13. How many boys ate more than 5 pizzas?
1
2
3
4 ***
(4B)
Tom, Harry, Ellen and Sue brought potato salad to the picnic. The chart shows how much potato salad each person brought.
Use the chart to answer questions 14 – 15.
|Boy |Potato Salad |
| |Pounds |
|Tom |8[pic] |
|Harry |8[pic] |
|Ellen |8[pic] |
|Sue |7[pic] |
14. Which list below lists the people in order of amount of potato salad brought to the picnic from least to greatest?
Sue Ellen Harry Tom
Sue Harry Ellen Tom
Sue Tom Harry Ellen ***
Sue Tom Ellen Harry
15. Jake brought more potato salad than Sue but less than Tom. Which could be the amount of potato salad than Jake brought?
7[pic]
7[pic]
8[pic] ***
8[pic]
Name________________________________ Please Note: This page is not in CMT format.
Draw a ring around the correct answer.
1. [pic] is closest to: 0 [pic] 1
2. [pic] is closest to: 0 [pic] 1
3. [pic] is closest to: 0 [pic] 1
4. [pic] is closest to: 0 [pic] 1
5. [pic] is closest to: 0 [pic] 1
6. Write the missing numerators to make each fraction be close to[pic]:
[pic] [pic] [pic] [pic]
Some possible answers are listed below. Use your own judgment.
3/7, 4/7 4/11, 5/11, 6/11, 7/11 6/15, 7/15, 8/15 8/21, 9/21, 10/21, 11/21
7. Write the missing numerators to make each fraction be a little less than 1:
[pic] [pic] [pic] [pic]
Some possible answers are listed below.
4/5 7/9, 8/9 14/17, 15/17, 16/17 19/24, 20/24, 21,24, 22/24, 23/24
8. Write a fraction that is close to 0.
9. Write a fraction that is close to but not equal to[pic].
10. Write a fraction that is close to but not equal to 1.
Name____________________________________Date________________________________ Part 2
(4D)
1. Caroline walked [pic]of a mile in just eight minutes. Which best describes this distance?
a little less than [pic]of a mile
a little less than [pic] a mile
a little more than [pic] a mile ***
a little more than 1 mile
0 [pic] [pic] [pic] 1
2. Susan ate[pic]of a pound of pasta. Which best describes this amount?
close to 0 pounds ***
a little less than 1 pound
between 1 and 1[pic]pounds
a little less than 2 pounds
3. Benji saved [pic]of his pizza for another day. Which could be the amount of pizza saved?
almost 0
a little less than [pic]
a little less than 1 ***
a little more than 1
(4D)
4. Marcy lives [pic]of a mile from school. Which best describes this distance?
close to 0
about [pic] ***
a little less than 1
a little more than 1
5. Latasha bought [pic]of a yard of cloth to make a banner for her class. What is another way to describe this?
close to 0
about [pic]
a little less than 1 ***
a little more than 1
6. Cathy had [pic]of a pound of buttons to sort. Which could be the amount of buttons she had?
close to 0
a little less than [pic]
a little more than [pic]***
a little more than 1
(4D)
7. Robert bought 2[pic]pounds of delicious, smooth, creamy milk chocolate all for himself. Which best describes this amount?
A little less than 2 pounds
A little more than 2 pounds ***
A little less than 3 pounds
A little more than 3 pounds
8. Robert’s sister, Pam, had 5[pic]pounds of white chocolate that she decided not to share with Robert. About how much chocolate did Pam have?
a little less than 5 pounds
a little more than 5 pounds
a little less than 6 pounds ***
a little more than 6 pounds
9. Pam’s baby brother, Tony, weighs 25[pic]pounds. Which amount best describes Tony’s weight?
less than 25 pounds
a little more than 25 pounds
a little less than 26 pounds ***
more than 26 pounds
(4D)
10. Margaret picked between 10[pic] and 11[pic] quarts of blueberries. Which shows how many quarts Margaret picked?
11[pic]
10[pic]
10[pic] ***
10[pic]
11. The fifth graders hiked between
2[pic]and 4[pic]kilometers in order to raise money for charity. How many kilometers did they hike?
2[pic]
2[pic]
4[pic]
4[pic]
12. It took Joshua between 3[pic] and
4[pic] hours to type his report on the computer. Which could be the amount of time spent typing?
4[pic]hours ***
4[pic] hours
4[pic] hours
4[pic] hours
10. Between 10[pic] and 11[pic]
10 10[pic] 11 11[pic] 12
11. between 2[pic]and 4[pic]
2 2[pic] 3 4 4[pic] 5
12. between 3[pic] and 4[pic]
3 3[pic] 4 4[pic] 5
Name____________________________________Date______________________________ Part 3
(4G)
1. Draw an X on the line that best represents[pic].
2. Draw an X on the line that best represents[pic].
3. Draw a ring around the dot that indicates [pic]on the number line.
4. Draw a black dot on the number line to show[pic].
5. Draw a black line through the number line at the spot that best represents[pic].
(4G)
6. Put a heavy black line through the number line below to show [pic]
7. Draw an X on the line that best represents [pic]
8. Put a heavy black line through the number line to indicate where [pic]is located.
9. Draw a black dot to show[pic].
10. Put an X on the line segment that best represents[pic].
Name___________________________________Date____________________________ Part 4
(8A)
1. [pic] + [pic] +
[pic]
[pic] ***
[pic]
[pic]
2. [pic] - [pic] =
[pic]
[pic]
[pic] ***
[pic]
(8A)
3. [pic]
— [pic]
[pic]
[pic] ***
[pic]
[pic]
4. [pic]
+ [pic]
[pic]
[pic]
[pic]
1 ***
(8A)
5. [pic] + [pic] =
[pic]
[pic]
[pic]***
[pic]
6. [pic]
+ [pic]
[pic]
[pic] ***
[pic]
[pic]
7. [pic] - [pic] =
[pic]
[pic] ***
[pic]
[pic]
8. [pic]
- [pic]
[pic]
[pic]
[pic] ***
[pic]
(8A)
9. 2[pic] + 1[pic] =
3[pic]
1[pic]
3[pic]***
[pic]
6. 1[pic]
+ 1[pic]
1[pic]
2[pic] ***
1[pic]
[pic]
7. 3[pic] - 3[pic] =
[pic]
[pic] ***
6[pic]
6[pic]
8. 2[pic]
- 1[pic]
3[pic]
3[pic]
1[pic] ***
[pic]
(8A)
9. 7[pic] - 2[pic] =
5[pic]
9[pic]
5[pic] ***
9[pic]
10. 4[pic]
- 2[pic]
2[pic]
2[pic]
2[pic]
2[pic] ***
11. 5[pic] + 4[pic]
9[pic]
9[pic] ***
9[pic]
9[pic]
12. 6[pic]
- 3[pic]
3
6
9
18
(8A)
13. 8[pic] + 2[pic] =
10[pic]
11[pic]
11
10
14. 12[pic]
- 8[pic]
5
4[pic]
4[pic]
4[pic]***
15. 2[pic] + 3[pic] =
5
5[pic]
6 ***
6[pic]
16. 4[pic] + 3[pic] =
7[pic]
8[pic]
7
8 ***
Name________________________________Date__________________________________ Part 5
(11A)
1. A bus started out with 6[pic]gallons of gas in the tank. The driver added 15[pic] more gallons of gas. About how many gallons of gas are now in the tank?
Fewer than 20 gal
A little more than 20 gal ***
A little less than 30 gal
More than 30 gal
2. The Chora family stopped for a picnic after driving 42[pic] miles. After the picnic, they drove 9[pic] miles further and reached Mystic Seaport. About how many miles did they drive in all?
Fewer than 40 miles
A little more than 40 miles
A little less than 50 miles
More than 50 miles ***
3. At the county fair, 22[pic] gallons of pink lemonade and 39[pic]gallons of regular lemonade were sold on Saturday. About how many gallons of lemonade were sold that day?
A little more than 60 gal ***
A little less than 60 gal
A little more than 70 gal
A little less than 70 gal
(11A)
4. The grocery store had a sale on grapes. They sold 82[pic]lbs of red grapes and 61[pic]lbs of black grapes. About how many more pounds of red grapes than black grapes were sold?
Fewer than 10 lbs
A little more than 10 lbs
A little less than 20 lbs
A little more than 20 lbs ***
5. The kitchen used 57[pic] square feet of wallpaper. The bathroom used 31[pic] square feet of wallpaper. About how many square feet of wallpaper were used?
A little less than 80
A little more than 80
A little less than 90 ***
A little more than 90
6. Mrs. Ahern used 28[pic] yards of material for new family room drapes. She also used 11[pic] yards of material for the new bathroom curtains. About how many more yards of material did she use in the family room than in the bathroom?
Fewer than 10 yds
A little less than 10 yds
A little less than 20 yds ***
A little more than 20 yds
(11A)
7. Last week Mr. Carpenter worked 38[pic] hours. This week he worked only 28[pic] hours. About how many more hours did he work last week than this week?
Less than 10 hrs
A little more than 10 hrs ***
A little less than 20 hrs
More than 20 hrs
8. Mrs. Consonni drove 58[pic]miles to a mall. She shopped a while, stayed overnight, and then drove 22[pic] miles the next day to another mall to do more shopping. About how many more miles did Mrs. Consonni drive the first day than the second day?
A little less than 30
A little more than 30
A little less than 40 ***
A little more than 40
9. Mrs. Martineau spent 10[pic]hours correcting math papers last week. She spent 18[pic]hours correcting writing papers this week. About how many more hours did she spend correcting writing papers than math papers?
a little less than 10 feet ***
a little more than 10 feet
a little less than 20 feet
a little more than 20 feet
(11A)
10. Mr. Collins rode his bike 12[pic]miles.
Then he had a flat tire and had to walk 6[pic]miles. About how many miles did he travel altogether?
A little less than 10 ***
A little more than 10
A little less than 20
A little more than 20
11. The marmot, the largest member of the squirrel family, has a body 35[pic] inches long. Its tail is 12[pic]inches long. About how many inches longer is the body than the tail?
A little less than 20
A little more than 20 ***
A little less than 10
A little more than 10
12. Tom was 57[pic]inches tall last year. He grew 1[pic]” this year. About how many inches tall is he now?
a little less than 60 ***
a little more than 60
a little less than 70
a little more than 70
Name____________________________Date_________________________ (25A)
Easier Problem
Cindy and Jeff were camping with their family. They and their dad went to the water pump to bring back water to their camp site. Dad had filled 6 buckets without handles. He labeled each bucket with the fractional amount of water each bucket held. The amounts are shown below.
Cindy and Jeff each have a bucket the same size as the buckets that Dad filled, but their buckets had handles. Their job is to pour all the water in the 6 buckets into their 2 buckets and carry the buckets back to camp in one trip.
• All the water in the 6 buckets without handles must fit into Cindy’s and Jeff’s buckets.
• Show which buckets Jeff should pour into his bucket.
• Show which buckets Cindy should pour into her bucket.
• Show how you determined your answer.
Name__________________________________Date_____________________________ (25A)
Harder Problem
Dean and Scott were camping with their family. They and their dad went to the water pump to bring back water to their camp site. Dad had filled 6 buckets without handles. He labeled each bucket with the fractional amount of water each bucket held. The amounts are shown below.
Dean and Scott each have a bucket the same size as the buckets that Dad filled, but their buckets had handles. Their job is to pour all the water in the 6 buckets into their 2 buckets and carry the buckets back to camp in one trip.
• All the water in the 6 buckets without handles must fit into Dean’s and Scott’s buckets.
• Show which buckets Dean should pour into his bucket.
• Show which buckets Scott should pour into his bucket.
• Show how you determined your answer.
-----------------------
¼ and ½ are both less than ½
That leaves 7/8 as the greatest
¼ and 1/8 are both less than ½
¼ = 2/8, so 1/8 is the smallest (pecan filling)
Which is greatest? 8/3 is more than 1
2/12 is close to 0
7/15 is close to ½
Do the fractions matter at all?
Audrey and Victor picked 5 quarts; ¾ is greater than ¼
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Do not mark an answer wrong if the student marked the correct location with an incorrect marking.
Which two dots name a fraction on the number line? The first two dots
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1 dog + 5 dogs = 6 dogs
1 cat + 5 cats = 6 cats
1 boy + 5 boys = 6 boys
1 girl + 5 girls = 6 girls
1 something + 5 somethings = 6 somethings
1 eighth + 5 eighths = 6 eighths
3 candies – 1 candy = 2 candies
3 pens – 1 pen = 2 pens
3 sixths – 1 sixth = 2 sixths
Had 8 cupcakes. Ate 6 cupcakes. 2 cupcakes left.
Had 8 pizzas. Ate 6 pizzas. 2 pizzas left.
Had 8 twelfths. Got rid of 6 twelfths. 2 twelfths left – but 2/12 is not given as a choice – so simplify 2/12 to 1/6
3 things + 2 things = 5 things
3 fifths + 2 fifths = 5 fifths
But once you have all 5 of the fifths, you have the WHOLE thing, all of the pieces
Also, 5/5 is not given as a choice – so 5/5 must be changed to 1 whole
Don’t add whole numbers to fractions. Add whole numbers to whole numbers; add fractions to fractions:
2 + 1 = 3
3/10 + 5/10 = 8/10 = 4/5
ANSWER: 3 (wholes) and 4/5 (of another whole whatever)
1 and [pic]
+1 and [pic]
2 and 2/8 =
2 and 1/4
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One Possible Solution:
Which fractions are compatible?
¼ plus ¾ 1/6 plus 1/3 1/5 plus 3/10
1 bucket can be filled with ¼ plus ¾, which equals 4/4 or 1 whole bucket filled
2nd bucket:
1/6 + 1/3 = 1/6 + 2/6 = 3/6 = ½ bucket
1/5 + 3/10 = 2/10 + 3/10 = 5/10 = ½ bucket
½ bucket + ½ bucket = another bucket filled
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One Possible Solution:
Which fractions are compatible?
¼ plus ¼ plus ½ 1/3 plus 1/3 plus 1/3
1 bucket can be filled with 1/3 + 1/3 + 1/3 which equals 3/3 which equals 1 whole bucket filled
¼ + ¼ = 2/4 = ½
½ + ½ = 2/2 = 1 whole bucket filled
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