4th grade Math Review
Second Semester
School Year 2016-2017
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Order of Operations
Division
Factors and Multiples
Fraction equivalence
Fraction in Simplest Form
Fractions Addition and Subtraction
Geometry:
Lines, Rays and Line Segments
Quadrilaterals
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
Page 1
1. Order of operations.
3 x 64 + 2 x 16 – 78 =
5 x 17 + 5 x 20 – 32 =
3 x 22 + 7 x 41 – 24 =
4 x 34 + 6 x 40 – 66 =
6 x 13 + 9 x 34 – 22 =
2.
Find the quotient and remainder.
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39 ÷ 8 = _________
24 ÷ 7 = _________
25 ÷ 9 = _________
17 ÷ 3 = _________
27 ÷ 8 = _________
11 ÷ 5= _________
10 ÷ 3 = _________
25 ÷3 = _________
20 ÷7 = _________
23 ÷8 = _________
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
Page 2
3.
Divide tens, hundreds and thousands.
240 ÷ 6 = __________
18 ÷ 3 = _________
4,500 ÷ 9 = __________
180 ÷3 = _________
150 ÷ 3 = ___________
1,800 ÷3 = _________
2,000 ÷ 5 = ___________
18,000 ÷3 = ________
6,400 ÷ 8 = ___________
560 ÷7 = __________
4. Divide and Check.
2
6
7,345
2,456
4
636
3 5,257
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
8
906
7 8,473
Page 3
5.
Factors and divisibility:
Is 6 a factor of the number? Write yes or no.
1.
2.
3.
4.

36 ______
56 ______
42 ______
66 ______
Is 5 a factor of the number? Write yes or no.
1.
2.
3.
4.

38 ______
45 ______
60 ______
39 ______
1.
2.
3.
4.
 Is 9 a factor of the number? Write yes or no.
54 _______
63 _______
67 _______
93 _______

List all the factors for each term.
Factors of 12
____________________________________
Factors of 16
____________________________________
Factors of 24
_____________________________________
Factors of 36
_____________________________________
Factors of 72
_____________________________________
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
Page 4

List the common factors of the numbers.
9 and 18
20 and 50
________________
__________________
24 and 30
____________________
6. Factors and multiples.
* Multiply to list the next 5 multiples of 3
3, _____, _____, _____, _____, _____
*Multiply to list the next 5 multiples of 6
6, _____, _____, _____, _____, _____
*Multiply to list the next 7 multiples of 8
8, _____, _____, _____, _____, _____, _____, _____
*Multiply to list the next 7 multiples of 12
12, _____, _____, _____, _____, _____, _____, _____
*Tell whether 20 is a factor or a multiple of the number. Write factor, multiple, or neither.
5 ____________
10 ______________
20 ____________
30 ____________ 60 ____________
*List the next nine multiples of each number. Find the common multiples.
Multiples of 2: 2, __________________________________________________________
Multiples of 8: 8 ___________________________________________________________
Common multiples _________________________________________________________
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
Page 5

Number Patterns.
1. Use the rule to find the first 12 numbers in the pattern.
Rule: add 8
First term: 5
5, _____, _____, _____, _____, _____, _____, _____, _____, _____, _____, _____, _____
Rule: subtract 7
First term: 95
95, _____, _____, _____, _____, _____, _____, _____, _____, _____, _____, _____, _____
Rule: add 15, subtract 10
First term: 4
4, _____, _____, _____, _____, _____, _____, _____, _____, _____, _____, _____, _____

Tell whether the number is prime or composite.
47 _______________
68 _______________
52 _______________
49 _______________
25 _______________
59 _______________
31 _______________
75 _______________

Write true or false.
1. Only odd numbers are prime numbers. _______________
2. A composite number cannot have three factors. _______________
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
Page 6
7. Write two equivalent fractions for each.
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𝟏
_______________________________
𝟑
𝟒
𝟔
________________________________
𝟗
𝟏𝟎
𝟏
𝟐
𝟓
𝟕
𝟑
𝟒
_______________________________
________________________________
________________________________
________________________________
8. Tell whether the fractions are equivalent. Write = or ≠.

𝟏
𝟑
𝟒
𝟓
𝟓
𝟏𝟎
𝟒
𝟏𝟐
𝟓
𝟏𝟎
𝟔
𝟏𝟐

𝟑
𝟒
𝟐
𝟒
𝟔
𝟓
𝟒
𝟗
𝟓
𝟏𝟎
𝟏𝟐
𝟖

𝟒
𝟖
𝟐
𝟖
𝟏𝟐
𝟐𝟒
𝟏𝟎
𝟐𝟎
𝟔
𝟐𝟒
𝟐𝟎
𝟑𝟎
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
Page 7
9. Write the fraction in simplest form.
Example
𝟔 ÷𝟐
𝟏𝟎 ÷𝟐

𝟔
𝟏𝟎

6
_______________________
12
10

4
10

4

2

________________________
6
________________________
8
8
𝟑
=𝟓
________________________
7
21
________________________
2
12
20
100
9
12
4
10
_______________________________
________________________________
________________________________
________________________________
________________________________
10. Find Common Denominators and them compare the fractions.
Example:

𝟐
𝟑
and
𝟑
𝟒
Think: Find a common multiple:
3: 3, 9, 12, 15
4: 4, 8, 12, 16, 20
The answer is:

𝟖
𝟗
,
𝟏𝟐 𝟏𝟐
𝟏
𝟒
and
𝟐
𝟏
𝟑
𝟐
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
and
𝟏
𝟏
𝟑
𝟒
and
𝟓
𝟔
Page 8

𝟐

𝟐
𝟓
𝟒
and
and
𝟐
𝟒
𝟑
𝟓
𝟕
𝟑
𝟖
𝟏𝟎
and
𝟕
𝟏
𝟏𝟎
𝟒
and
and
𝟏
𝟐
𝟐
𝟑
𝟏
𝟔
and
𝟑
𝟒
11. Add and subtract fractions.

𝟗
+
𝟏𝟐

𝟐

𝟑

𝟓
𝟔
𝟓
𝟔
+
𝟐
-
𝟐
-
𝟏
𝟔
𝟓
𝟔
𝟕
𝟏𝟐
= _____________
= _____________
= _____________
= _____________
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
𝟐
𝟑
+
𝟏
-
𝟒
𝟕
𝟖
𝟏
𝟏𝟎
𝟒
𝟏𝟓
𝟑
= _____________
= _____________
𝟖
+
+
𝟏
𝟏𝟎
𝟏
𝟓
= _____________
= _____________
Page 9
12. Problem Solving.
1. Kenny bought 20 packs of baseball cards. There are 12 cards in each pack. How many cards did
Kenny buy?
2. The Heart family drove 10 hours to their vacation spot. They drove an average of 48 miles each hour.
How many miles did they drive in all?
3. Teacher has 27 students in her class. She asks the students to form as many groups of 4 as possible.
How many students will not be in a group?
4. Johan has 70 beads. She uses 8 beads for each bracelet. She makes as many bracelets as possible.
How many beads will Johana have left over?
5. Manuel buys a pizza and shares it with his best friend Bruce. Manuel eats 3/12 and Bruce eats 4/12.
How many pieces did they eat all together?
6. At Memorial Hospital, 9 of the 12 babies born on Tuesday were boys. In simplest form, what fraction of
the babies born were boys?
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
Page 10
7. Bryson buys a bag of 64 plastic miniature dinosaurs. Could he distribute them equally into storage
containers and not have any left over?
8. Maria, Karla, Ana, and Amanda collected 13 marbles. They want to share the marbles equally. How
many marbles will each of the 4 girls get? How many marbles are left over? Frank used a model to
solve this problem. Is his model correct? Explain.
9. A recipe for a vegetable dish contains a total of 924 calories. The dish serves 6 people. How
many calories are in each serving?
10. To win a game, Roger needs to score 2,000 points. So far, he has scored 837 points. How
many more points does Roger need to score?
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
Page 11
Geometry
1. Lines, Rays and Arrays.
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
Page 12
3. Classify Quadrilaterals.

Use the quadrilateral Color guide to color the quadrilaterals.
Red
Exactly 4 right
angles
Blue
Exactly 2 right
angles
Orange

Exactly one right
angle
Match
1. Rhombus
2. square
3. trapezoid
4. rectangle
5. parallelogram
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
Page 13
Fourth Grade Second Semester Reviews
T. Giny, T. Vanessa, and T. Brenda
Page 14