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Grade 4 Summer Packet Name _______________________________________ Meriden Public Schools
Grade 4 Summer Packet
Name _______________________________________
Meriden Public Schools
This is the grade 4 Summer Math packet. There are several concepts to be practiced over the summer months to prepare you for fifth grade. Complete this packet and return it to your teacher when you return to school in August. At the bottom of this page is a ruler that may be cut out and used for the measurement problems.
Place Value 1. Wal-Mart sold 334 Nintendo DS last
week. This week, they sold 10
MORE Nintendo DS than last week.
How many Nintendo DS were sold
this week?
324 234 344 434
2. Which means the same as 428?
4 + 2 + 8 40 + 20 + 8 400 + 20 + 8 400 + 20 + 80
3. Which means the same as 5
thousands, 12 hundreds, 3 tens, 7
ones?
51237 5327 6237 5273
4. The value of 839 would change by
how much if the 9 were replaced by a
4?
4 3 5
6 5. The value of 563 would change by
how much if a 5 replaced the 6?
1
10 100 1000
6. What means the same as
3597?
3 thousands, 5 hundreds, 9 tens, 7 ones
2 thousands, 5 hundreds, 97 ones
3 thousands, 15 hundreds, 8 tens, 7 ones
2 thousands, 15 hundreds, 7 tens, 9 ones
Pictorial Representation of Numbers 1. How much of the shape below is
shaded?
2. The shaded part of this picture shows
what decimal?
= 0.1
0.6 0.4 0.3
0.5
35
2 5
5 3
1 5
1
8
1
16
3. Which picture shows shaded?
4. Choose the decimal that best represents the shaded parts of this picture.
=0.1
0.6 0.3 0.5 0.7
Equivalent Fractions
One name for the shaded part of the object is 2
8.
1. What is another name for the shaded part of the object?
1
2
1
4
4 7
4
4
3
4
1
5
2
5
3
5
4
5
One name for the shaded part of the picture is 6
8.
2. What is another name for the shaded part of the picture?
1
4
2
4
3. Shade 1
4 of the circles:
4. What is another name for the shaded part of the set of shapes?
Order, Magnitude and Rounding of Numbers The chart below shows how the students at Polygon Public Elementary School voted: Favorite New Color Crayon Number of Votes
Dandelion 286 Jungle Green 315 Royal Purple 229 Wild Strawberry 247 1. If the colors were written in order from least to greatest for the number of votes, which color would be written second?
Dandelion
Jungle Green Royal Purple Wild Strawberry
2. The fourth graders read between 452 and 467 pages last week. How many pages did they read?
417 451 463 355
3. Gail swims 825 yards every Monday after work. This number is closest to which distance?
820 830 840
850
4. Which fraction is marked by letter D
on the number line below? (4d)
A B C D
0 1
o
o
5. Put an X on the ruler to show where 2.3 is.
2 3
1
2
2 3
3 4
2 4
Models for Operations
1. Which of the following goes with the picture?
5
5
2. Which equation best describes the picture?
36 ÷ 4
3. Pat is moving to a new house. She packed 36 books in 4 boxes. Each box had the same number of books in it. Which number sentence should be used to find out how many book are in each box?
36 x 4 =
36 – 4 =
36 ÷ 4 =
36 + 4 =
4. Eileen planted 25 red peppers and 32 green peppers in her garden. How could you find out how many more green peppers than red peppers she planted?
Add 25 to 32
Divide 32 by 25
Multiply 25 by 32
Subtract 25 from 32
5. Abby bought a new notebook for $3.98 and a gel pen for $1.85. To find out how much more the notebook cost than the gel pen, Abby should use which equation?
$3.98 + 1.85 =
$3.98 – 1.85 =
$3.98 x 1.85 =
$3.98 ÷ 1.85 =
5 40
6. Mrs. Howarth built 4 walls in her back yard. She used 4012 bricks and had the same number of bricks in each wall. To find out how many bricks Mrs. Howarth used for each wall, you should
add 4 to 4012
subtract 4 from 4012
multiply 4012 by 4
divide 4012 by 4
7. Write a story problem that can be solved using the number sentence 6 x 9 = ________________________________
________________________________
________________________________
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Basic Facts
1. Solve this problem.
3 x 6
16 17 18
19
2. Solve this problem.
4 x 6 =
20 24 26
28 3. Solve this problem.
28 ÷ 4 =
8 7 6 9
4. Solve this problem.
10 9 8
7
Computation with Whole Numbers
and Decimals
1. Solve this problem. 3 6 9 + 6 1 3 2. Solve this problem. 7 0 3
- 5 9 2 3. Solve this problem. $8 .0 0 - $4. 3 9
604
543
4. Solve this problem. $5. 0 0
- $1. 9 2
5. Solve this problem.
67 x 3
192 194 201 221
6. Solve this problem.
61 x 5 =
35 36 305
306 7. Solve this problem.
10 15 20 30
8. Solve this problem.
17 18
19 20
Computation with Fractions Section – A 1. Solve this problem.
2
7 +
3
7 =
2. Solve this problem. 4
10 +
2
10 =
1 7
5 7
5 14
6 14
5 20
3 10
1 5
6 10
5 1
8 8
8
10
5
10
3
6
2
6
14
4
4
2
4
2
5
7
2
7
71
7
3. Solve this problem.
4. Solve this problem.
5. Solve this problem.
Section - B Write two answers for each problem. 1. _________ _________
2. ____________ ___________
3.
1
6 8
6 16
1 2
3 4
13
20
4 10
3 10
3 0
1 6
1 0
5 6
5 12
2 12
1 3
2 6
1 6
4 6
4. + =
1
Solve Story Problems 1. The grocery story had 234 apples. Mrs. Becker bought 38 apples. How many apples are still not bought?
154 196 204 272
2. Lorna had $2.88. Her brother has $2.82. They put their money together to buy a birthday present for Mom. How much money do they have?
$4.06 $4.60 $5.66 $5.70
3. George bought two magazines. One cost $2.55. The other cost $1.75. He paid with a $10.00 bill. How much did the magazines cost?
$14.30 $3.20 $4.30
$5.70
4. Miguel scored a total of 173 points during this year's basketball season. Last year he scored a total of 58 points. He weighs 95 pounds. How many more points did he score this year than last year?
115 125 233 326
5. Marina has 228 stamps from England in her stamp album. She also has 95 stamps from Canada. Her album has 101 pages filled with stamps. How many more stamps does she have from England than from Canada?
127
133 323 424
6. Olivia had $5.00. She bought a dress for her Barbie doll. The clerk gave her $.88 change. How much did the dress cost?
$4.28 $4.18
$4.22 $4.12
Numerical Estimation Strategies 1. Angela needs to subtract 22 from 81. Which of the following would be best for Angela to use to estimate the difference?
80 – 20 80 – 30 90 – 20 90 – 30
1 2
2 24
1 6
1 12
1 12
2. Molly played outside for 92 minutes on Monday. She played outside for 99 minutes on Tuesday. Which of the following would be best to use to estimate how many minutes she played outside?
90 + 90 90 + 100 100 + 100 100 + 101
3. Laurie needs to add 717 and 382. Which of the following would be best for Laurie to use to estimate the sum?
700 + 300 700 + 400
800 + 400 800 + 300
4. Mrs. Pagano also bought ear muffs for $3.15. She gave the clerk $5.00. Which of the following would be best to use to estimate how much change she will get from the clerk?
$5 - $3 $5 - $4 $3 - $5 $4 - $5
5. Rachel had $97.25 in the bank. She used $29.99 to buy a learning laptop. Which of the following would be best for Rachel to use to estimate how much money she still has?
$ 90 - $20 $ 90 - $30 $100 - $20 $100 - $30
6. Audrey has $785. Lily has $829. Which of the following would be best to use to estimate how much money they have in all?
$700 + $800 $700 + $900 $800 + $800 $800 + $900
Estimating Solutions
1. Dorothy took 68 pictures of her dog, Toto. She emailed 39 of the pictures to her Auntie Emme. About how many pictures were not emailed to Auntie Emme?
less than 10 almost 20
about 30 more than 40
2. On Saturday Mrs. Moss drove 27 miles from Meriden to New Haven. Then she drove 39 miles to Hartford. About how many miles did she drive?
40 50
60 70
3. Ben is 208 centimeters tall. Sue is 382 centimeters tall. About how many more centimeters tall is Sue than Ben?
less than 100
about 200 almost 300 more than 400
4. The bookstore sold 49 books on Friday. On Saturday, 77 books were sold. About how many fewer books were sold on Friday than on Saturday?
A little more than 20 A little less than 20 A little more than 30 A little less than 30
5. The museum shows only some of its paintings at a time. Right now, 588 paintings are being shown. There are 218 paintings stored away. About how many paintings does the museum have?
a little less than 700 a little more than 800
a little less than 800 a little more than 700
6. Old Macdonald had 374 sheep and 268 lambs on his farm. What is a reasonable estimate for the number of animals he had?
a little less than 500 a little more than 500 a little less than 600 a little more than 600
Time
USE THE CALENDAR TO ANSWER QUESTION NUMBER 1.
August
Sun Mon Tues Wed Thurs Fri Sat
1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31
1. Jeannie is planning to go to the beach on August eighth. What day is that?
Thursday
Tuesday Saturday Sunday
2. Tim’s digital clock at home showed the time below. What time was it?
11:45
Quarter after 11 Quarter of 12
Half-past 11 Quarter of 11
3. How many minutes are there in 1.5 hours?
15 30 60 90
4. Rafe began math class at 1:15. He finished math at 2:30. How many minutes were spent in math class?
55 min. 1 hour, 10 min 1 hour, 15 min 1 hour, 20 min
5. Sarah finished playing a computer game at 6:15. She started playing 2 hours and 15 minutes before. At what time did she start playing?
4:00 4:20 4:45 4:30
6. Ramona spent 1 hour and 20 minutes at a birthday party. She went home at 4:00. At what time had she arrived at the party?
2:00 2:20 2:30 2:40
Approximating Measures 1. If the smaller fish is 5 inches long, about how long is the larger fish?
4
5
20
25
2. If the shorter wall is 2 meters long, about how long is the longer wall?
o 3m o 4m o 6 m o 8 m
3. If the shorter building is 10 yards tall, about how long is the taller building?
o 5 yds. o 6 yds. o 50 yds. o 60 yds.
4. The small toy plane is 3 inches long.
About how many inches long is the large jet?
o 5 o 6 o 15 o 18
Customary and Metric Measures Use the ruler from the opening page of the packet to measure the following problems. 1. Use your ruler to draw a line segment that is 3 ½ inches long in the box below. 2. Use your ruler to draw a line segment that is 5 cm long in the box below. 3. Use your ruler to measure the line below to the nearest half-inch. o 2 inches o 2 ½ inches o 3 inches o 3 ½ inches 4. Use your ruler below to measure the line to nearest centimeter. o 4 cm o 5 cm o 6 cm o 7 cm
5. Use your ruler to measure the line below to the nearest half-inch. o 1 inch o 1 ½ inches o 2 ½ inches o 3 inches
6. Which object could be about 25 centimeters long?
a school bus a black rat a highway
a river
Geometric Shapes and Properties 1. Which shape below is a quadrilateral?
2. How many sides does this figure
have?
4 8 12 16
3. What shapes make up this figure?
1 rectangle and 4 triangles 2 rectangles and 4 trapezoids
1 trapezoid and 4 rectangles 1 trapezoid and 4 triangles
4. How many sides does the figure have?
4 7 9
10 5. What is a rectangle?
a polygon with only one right angle
a polygon with six equal sides a quadrilateral with two pairs of
parallel sides
a trapezoid with one pair of equal sides
6. Draw a parallelogram in the box below. Then explain why the figure you drew is a parallelogram. ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ 7. Circle the shapes that are quadrilaterals.
8. Draw a rectangle that is 2 units long on one side and 5 units long on the other side. Use the grid to help you.
. . = 1 unit
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Explain why the figure you drew is correct. ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________
Tables, Graphs, and Charts
All of Mrs. Polygon’s students filled out a survey about their favorite shape to draw.
1. How many children are in Mrs. Polygon’s class?
o 8 o 10 o 21 o 29
Last summer 5 friends collected shells at the beach. The graph shows how many shells each friend collected.
2. If Sue collected 10 more shells, how many shells would she then have?
o 16 o 20 o 22 o 26
6……………………square 8……………………rectangle 7……………………triangle 3……………………hexagon 5……………………parallelogram
Favorite Shape to Draw Number of Votes
3. Complete the pictograph using the following data.
Students Who Wear Glasses
3rd Grade Girls 4th Grade Girls 3rd Grade Boys 4th Grade Boys
6 7 2 3
Let = 2 pair of glasses.
Probability 1. Julie has a bag full of coins. There are 15 dimes, 8 pennies, and 22 nickels. If Julie reaches inside the bag and takes one coin without looking, which coin do you think Julie is most likely to pick?
o Penny o Nickel o Dime o Quarter
2. Katie spun the spinner once. The arrow landed on 1. If Katie spins the spinner one more time, on which number is the arrow least likely to land?
o 1 o 2 o 3 o 4
Students Who Wear Glasses
3rd Grade Girls
4th Grade Girls
3rd Grade Boys
4th Grade Boys
3. Nena is going to spin the arrow. On which number is the arrow most likely to land?
o 1 o 2 o 3 o 4
Patterns 1. What number belongs in the table?
BEGIN END
2 4
8 16
5 10
7 14
3 ?
5 6 7
8
2. Which number is missing in the table?
Beginning Ending
12 120
15 150
18 180
20 200
22
205 210
215 220
3. Which rule was followed in the table?
o Add 9 o Subtract 9 o Multiply by 1 o Divide by 10
4. Which rule was followed in the chart?
In Out
24 72
51 153
65 195
78 234
93 279
o Add 48 o Subtract 48 o Multiply by 3 o Divide by 3
IN OUT
10 1
20 2
100 10
140 14
200 20
5. Draw the next shape in this pattern. Then tell why you drew that shape. _______________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
6. Write the number that should be next in the pattern. On the lines below, explain how you decided what number to write.
73, 70, 65, 62, 57, _________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
Algebraic Concepts 1. Which number sentence is in the same family of facts as the number sentence below?
26 + = 81 o 26 + 81 = o 26 - = 81 o + 81 = 26 o 81 - = 26
2. Which number belongs in the missing frame below?
= 42 + 19 o 61 o 37 o 51 o 71
3. Which number sentence is the same family of facts as the number sentence below? + 35 = 58
o 58 + 35 =
o 35 - = 58
o 35 + 58 =
o 58 - = 35
4. If = , then is equal to how many ?
o 6 o 12 o 8 o 9
Classification and Logical Reasoning 1.
Eli, Claire and Steve were all helping their parents wash windows. Claire washed 3 more windows than Steve. Steve washed 2 more windows than Eli. Eli washed 4 windows.
How many windows did Claire wash?
o 3 o 6 o 9 o 12
2. Three brothers were counting their change they had found while helping their mom clean out her car. Brad found a quarter Peter found 10¢ more than Brad Terry found twice as much as Brad
How much did Peter, Terry, and Brad find? Peter = ________ Terry= __________ Brad = ___________
3. Complete the Venn diagram by placing the numbers in the correct areas.
Odd Numbers Multiples of 9
Sort these numbers:
3, 9, 18, 27, 31, 36, 72,
81, 91
3, 9, 18, 27, 31, 36, 72,
81, 91
Mathematical Applications #1 Name__________________________________Date____________________________ Luc has $200 to spend at Best Buy. The prices of the items for sale are shown in the chart.
Complete the chart.
Luc must buy at least 1 of each item.
He may buy more than 1 of any item. He cannot spend more than $200 or less than $160 Show your work.
ITEMS PRICE OF 1 ITEM NUMBER OF ITEMS BOUGHT TOTAL PRICE
DVD Player $50
PC Game $10
Robo-pet $40
DVD Movie $25
#2
Name____________________________________Date_____________________________
You have won a $100 gift certificate from the Village Music Shop. You have a VCR, a
CD player and a DVD player at home. The costs for videos, DVDs, and CDs are listed
on the table below.
You want to spend as much of the $100 as possible. You cannot have enough money left to buy even one more item. You cannot spend more than $100. You must buy at least 1 of each item.
How would you spend your gift certificate?
Item Cost of One Item
Videos $ 7.00
DVDs $19.00
CDs $14.00
Items Cost of One
Item
How Many Total $
Total Amount Spent ________________________________
