4th Grade Math Summer Packet
1. For each fraction, write three equivalent fractions.
1
, , ,
2
2
, , ,
3
1
, , ,
5
2. Write >,<, or = to make each number sentence true.
1
1
____
10
20
2
4
____
5
5
3. Write each set of fractions in order from smallest to largest.
1
,
7
2
,
15
1
,
12
14
,
15
1
,
9
10
,
15
1
,
2
1
1
5
,
15
_____ _____ _____ _____ _____
9
15
_____ _____ _____ _____ _____
4. Ms. Heard had 27 religion books. She passed
a. How many books did she pass out?
b. How many books did she have left?
1
of the books out to the class.
9
_____ books
_____ books
5. A bag of marbles has the following colors of marbles: 1 yellow marble, 2 green
marbles, 3 purple marbles, and 4 blue marbles.
If you put your hand in the bag and pull out a marble, about what fraction of the
time would you expect to get a purple marble?
_____
6. Mrs. Smith wants to tile her bathroom floor. The room is 7 feet wide and 5 feet
long. How many 1-square foot tiles does she need to cover the floor?
7. Find the perimeter given the following measurements.
Rectangle
P=l+l+w+w
Length: 2cm
Width: 4cm
Triangle
P = S1 + S2 + S3
Side 1: 4in
Side 2: 3in
Side 3: 5in
Perimeter:
Perimeter:
8. Find the area given the following measurements.
Rectangle
A=lxw
Length: 7m
Width: 9m
Parallelogram
A=lxh
Length: 4ft
Height: 8ft
Triangle
A=lxh÷2
Length: 5cm
Height: 12cm
Area:
Area:
Area:
9. There are 13 pies in a shop. Anna and her three siblings decide to share them
equally. How many whole pies will each of them get?
Number model:
Answer:
pies
10. Divide. If there is a remainder, write it as a fraction.
5 84
Answer: ____
168  8
Answer: ____
11. Mr. Brown wants to buy a barbeque grill and pay for it in 1 year. Home Depot
offers two plans, and he wants to choose the cheaper one.
Plan A: $9 each week; a total of 52 payments.
Plan B: $35 each month; a total of 12 payments.
Which plan would cost less?
Explain your answer.
12. For each angle, circle the type.
angle type: acute
right
obtuse
angle type: acute
right
obtuse
A
D
B
C
E
F
13. Plot and label each point on the coordinate grid.
6
A (2,5)
B (2,3)
C (1,1)
D (2,1)
E (5,3)
5
4
3
2
1
00
14. Insert parentheses to make these number sentences true.
a. 4  6  3  30
b. 36  8  2  5  4
c. 2  7  6  2  2 11
d. 9  6  3  3  9
1
2
3
4
5
6
15. Round these numbers to the nearest ten thousand.
a. 992,076
b. 1,409,327
c. 84,731,522
d. 911,557,083
16. Divide. If there is a remainder, write it as a fraction.
314 / 12 Answer:
26 494 Answer:
17. Solve the problems below
864  327
Number model:
155  879  642
Number model:
18. Add or subtract.
6.7  3.9  ____
6.32  1.54  ____
9.8  3.5  ____
86.12  34.90  ____
19. Make a true sentence by inserting parentheses.
26  3  13  10
56 / 8  48  1
0.72
20. Explain the mistake Sandy made when he solved this problem:  0.1
0.71
__________________________________________________________________
__________________________________________________________________
__________________________________________________________________
21. Complete the “What’s My Rule?” tables and state the rule.
Rule: _____
Rule: _____
in
7
30
1
50
22. 47 * 35
out
400
1,200
in
8
9
3
out
560
630
2,800
4,200
23. On average, there are 7 hours of school each day at STM.
a. About how many hours of school are there in one week? (Remember we only
have school 5 days per week!!)
hours
b. About how many hours of school are there in one month? (There are 4 weeks
per month.)
hours
c. Are there more or less than 1,500 hours of school per year?
24. Write < or > to make a true number sentence.
3.47_____ 3.5
1.23 + 1.47______ 2.7 + 5.9
0.38______0.4
3.76 – 2.13______ 6.95 – 4.22
25. Write the following numbers in order from smallest to largest
0.0002, 2.7, 0.8, 0.03, 3.08, 0.009
_________, ____________, ____________, ___________, __________, ___________
26. Write 2 numbers between 2 and 3. Use decimals.
27. Write two numbers between 0 and 1. Use decimals.
28. List the factor pairs of 32.
29. List the first ten multiples of 4.
30. Solve the open sentences.
22  x  15
Solution: ____
8 / 2  14  w
Solution: ____
3  n  21
Solution: ____
36  12  p
Solution: ____
31. Add or subtract.
$10.50 + $6.43 = __________
$15.79 – $11.23 = ___________
22.78 + 31.93 = ___________
17.3 – 12.1 = _____________
32. Jane had $173.48 in her bank account. She withdrew $55.12. One month later, she
deposited $14.22. What is the new balance in her savings account?
33. Draw a polygon with at least one right angle. Mark the right angle(s) with a
square corner symbol.
34. Draw a concave polygon.
35. Draw concentric circles.
36. Draw a quadrangle with 1 pair of parallel sides and no right angles.
37. Draw GH perpendicular to QR .
38.
4,326
1,527
 1,762
 2,974
2,149
 936
507
 1,829
5,082
4,361
 1,918
 2,498
39.
40. Write T if the number sentence is true, F if it is false, or ? if you can’t tell.
10  4  400 ____
36  4  12 12 ____
12  3  100  5 ____
(2  2)  4 ____
41. Make a true sentence by inserting parentheses.
26  3  13  10
56 / 8  48  1
42. Write a number model and solve the addition and subtraction number stories.
During a Leap Year, we have 366 days instead of 365. Leap Year occurs every four
years. The last one was in 2008 and the next one will be in 2012. How many more days
are there during a Leap Year than during a regular year?
Number model:
43. Complete the “What’s My Rule?” table and state the rule.
Rule: _____
days
in
2
6
0
out
24
72
132
10
12
44. List all the factors of 32.
45. Solve the open sentences.
22  x  15
Solution: ____
8 / 2  14  w
Solution: ____
3  n  21
Solution: ____
36  12  p
Solution: ____
46. Use the map scale to answer the following questions. 1 inch represents 100 miles.
a. The distance between Whoville and Nottingham is about 3½ inches on the map. That
represents about _____ miles.
b. The distance between The Hundred Acre Wood and Never Never Land is about 2
inches on the map. That represents about _____ miles.
47. Complete the Venn diagram. Use at least 10 numbers.
Multiples
of 3
Multiples
of 2