Download 4th Grade Math Practice Packet

4th Grade Math
Practice Packet
An Education.com Collection by
LaRhondaBeardenSteward
Table of Contents
Find the Area of a Rectangle: Easy
Least Common Multiple: Easy
Graduated Cylinder Measurements
Angle Puzzle
Find the Greatest Common Factor #1
Plot Coordinates
Dizzy Over Decimals: Addition #2
Converting Improper Fractions
Dizzy Over Decimals: Addition #3
Inverse Operations: Multiplication
Mean, Median and Mode
Practice Finding Area #8: Find a New Home
Arithmetic Puzzles
Word Problems: How Does Your Garden Grow?
Number Scramble
Probability Practice: Birds
Convert Yards to Miles
Parallel and Perpendicular Lines
Math Riddles: Adding and Subtracting
Math Riddles: Subtraction #3
Probability Quiz
Math Riddles: Subtraction #1
Math Riddles: Solve the Equation
Angle Practice
Line Logic: Parallel and Perpendicular #1
Skill Practice 3: Simplifying Fractions
Math Riddles: Addition #3
Math Riddles: Subtraction #4
Math Riddles: Triple Digits
Steer & Simplify #5
Finding Area: Level 1
?
Help Piggy pick a room with the largest area in square feet.
Calculate the area of each room then write
the answer in the middle of the room.
Color in the largest one. Remember, Area = L x W
3
5
10
14
8
7
8
4
9
12
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Math
Algebra
Least Common Multiple: Easy
A multiple is the product of two integers. To find the multiples of a certain number,
multiply that number by every integer, starting with 1.
Example: The multiples of 2 are 2, 4, 6, 8, 10, and so on.
Common multiples are numbers that share one or more of the same multiples.
Example: Multiples of 2 are 2, 4, 6, 8, 10, 12, and so on.
Multiples of 3 are 3, 6, 9, 12, 15, and so on.
6 and 12 appear in these lists, so they are common multiples of 2 and 3.
Least common multiple (LCM) is the smallest common multiple of two or more numbers.
From the example above, the LCM of 2 and 3 is 6.
LCM can be found by listing the multiples and looking for the smallest common one in the lists.
Circle the common multiples of the pair of numbers, then answer the questions.
Multiples of 4 = 4, 8, 12, 16, 20, ...
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, ...
Multiples of 5 = 5, 10, 15, 20, 25, ...
Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, ...
The common multiple is:
The common multiple is:
.
The LCM is
.
The LCM is
.
.
Multiples of 8 = 8, 16, 24, 32, 40, ...
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, ...
Multiples of 10 = 10, 20, 30, 40, 50, ...
Multiples of 12 = 12, 24, 36, 48, 60, 72, ...
The common multiple is:
The common multiple is:
.
The LCM is
.
The LCM is
.
.
Fill in the blanks and find the least common multiples below.
Multiples of 2 = 2, ___ ,___ , ___ ,___ ,12, ...
Multiples of 3 = 3, __ ,__ , __ ,__ ,__ , __ ,__ , ...
Multiples of 3 = 3, ___ ,___ , ___ ,___ ,18, ...
Multiples of 4 = 4, __ ,__ , __ ,__ ,__ , __ ,__ , ...
The common multiples are:
The LCM is
.
.
Copyright © 2010-2011 by Education.com
The common multiples are:
The LCM is
.
.
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LIQUID MEASUREMENTS
Measuring liquids in graduated cylinders is often tricky because the
liquid surface is curved. This curved surface is called the meniscus and
occurs because of the strong attractive force between the glass and
water.
Procedure:
1. Measure the amount of liquid in the graduated cylinders below. When
you measure make sure to measure the amount using the bottom of the
meniscus for any liquid volume measuring tool.
2. Record the measurement and label your units in mL on the line below
each graduated cylinder.
150
30
80
120
140
20
70
110
50
130
70
90
40
120
60
80
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H
M
A T
GEOMETRY
Angle Steering 2
Steering a ship requires practice and precision. It also requires
you to think about math and angles.
Turn the ship’s wheel according to the angle measurements
given. See the examples below. With each new turn,
indicate the ship’s new direction by drawing a line towards
it. Turn clockwise if the angle is positive, counterclockwise
if it is negative. Use a ruler to help you draw straight lines.
Turn
Degrees
New
Direction
1
2
3
4
5
6
+150
+42
+21
-79
+182
7
-38 -13
8
9
+80
10
11
-45 -208 -21
12
+49
150 192
N
What direction is
the boat facing after
the last turn?
360/0
N
330
30
NW
NE
NE
E
SE
S
SW
300
60
W
NW
W 270
90
n1
t u r 50
1
SW
210
150
180
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120
26 + 3
turn 2
7 = 19
2
240
S
SE
E
M
A
T
H
The
Example
36 48
36 = 18 x 2
2 is a prime number and divides into 18 evenly 36 times.
2
2
36 = 9 x 2 x 2
18 can be divided by 2, leaving 9.
2
2
36 = 3 x 3 x 2 x 2
3
2
9 can be divided by 3, leaving 3. Now we have all prime
numbers.
48 = 24 x 2
3
2
48 = 12 x 2 x 2
3
48 = 6 x 2 x 2 x 2
2 x 2 x 3 = 12
Once you find the prime factors of the second number,
see which numbers they have in common. Circle and
multiply them to get your GCF. If there are no prime
factors in common, then the GCF is 1.
48 = 3 x 2 x 2 x 2 x 2
2, 2, 3
GCF
40 60
30 75
GCF
GCF
18 25
50 125
GCF
Copyright 2010-2011 Education.com
Numbers in common:
GCF
84 105
GCF
72 108
GCF
56 96
GCF
56 112
GCF
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4TH GRADE
Collision
Coordinates
Collision
Coordinates
Collision
Coordinates
Collision
Coordinates
Collision
Coordinates
Collision
Coordinates
L I N E A R
Balloons and birds are on a collision course in the sky! When their
paths cross, the balloons pop! Plot 10 points for each of the 4
linear equations using the T-charts given. Graph each line on the
x-y coordinates and answer the questions on the right.
Red
balloon
y = 2x - 24
x
12
13
y
0
2
Green
balloon
Orange
bird
Blue
bird
y = 3x - 75
y = /2 + 6
y = /4 + 13
x
x
y
25
26
x
0
2
0
3
y
6
7
At what coordinate (x,y)
does the orange bird pop
the red balloon?
( ___ , ___ )
At what coordinate (x,y)
does the blue bird pop the
green balloon?
x
x
0
4
M A T H
y
13
14
( ___ , ___ )
y
25
20
15
10
5
0
5
10
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15
20
25
30
35
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40
x
Kramsters are very picky eaters. Feed each
kramster the correct number of pellets by
converting the following improper fractions to
mixed numbers. Color in the pellets to match
each mixed number.
EXAMPLE:
13
4
3
1
4
12
6
15
4
3
2
14
5
For the last one, shade in the pellets without guidelines.
20
6
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Inverse Operations: Multiplication
Match the multiplication equation on the left with its inverse
division equation on the right.
11 x 3 = 33
20 ÷ 10 = 2
4 x 12 = 48
55 ÷ 11 = 5
2 x 10 = 20
33 ÷ 3 = 11
13 x 4 = 52
45 ÷ 3 = 15
5 x 11 = 55
48 ÷ 12 = 4
15 x 3 = 45
52 ÷ 4 = 13
Complete the multiplication problems and then write out
its inverse equations.
1.) 9 x 13 =
_____________
2.) 8 x 12 =
_____________
3.) 10 x 5 =
_____________
4.) 14 x 4 =
_____________
5.) 2 x 15 =
_____________
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Mean, Median and Mode
Find the mean, defined as the average of a group of numbers. To
find the mean, add all the digits together and divide by the number
of digits there are.
1.) 6 , 3 , 8 , 11 , 12 , 5 =
2.) 10 , 4 , 7 , 12 , 6 =
3.) 4 , 4 , 9 , 13 , 2 =
4.) 9 , 5 , 5 , 5 , 12 , 15 =
5.) 2 , 2 , 2 , 15 , 14 =
6.) 3 , 5 , 6 , 3 , 5 , 6 =
Find the median, defined as the middle number in a group of
numbers. To find the median, put the numbers in numerical order
and identify the middle number.
1.) 12 , 9 , 9 , 11 , 5 , 6 , 8 =
2.) 3 , 3 , 5 , 9 , 1 , 2 , 4 =
3.) 7 , 3 , 9 , 8 , 8 , 10 , 4 =
4.) 4 , 6 , 8 , 10 , 7 =
5.) 8 , 7 , 6 , 10 , 11 , 11 , 6 =
6.) 8 , 11 , 11 , 12 , 9 =
Find the mode, defined as the number that occurs the most in a
group of numbers. To find the mode, place the numbers in
numerical order and identify the one that occurs the most.
1.) 7 , 4 , 4 , 3 , 8 , 4 =
2.) 9 , 1 , 2 , 9 , 2 , 5 , 2 =
3.) 3 , 4 , 9 , 0 , 3 , 1 =
4.) 8 , 4 , 9 , 8 , 3 , 8 =
5.) 11 , 11 , 4 , 7 , 4 , 12 , 4 =
6.) 9 , 10 , 10 , 3 , 8 =
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4th e
Grad
Find a New Home
?
Help Mr. Rabbit find his new home. The total area of his place has to be at least 60 square feet.
This includes the area of a roof (triangle) plus the area of the house (rectangle).
Review:
Rectangle Area = length x width
1
2
Triangle Area =
x base x height
The base of a triangle can be any one of its sides.
The height is the distance from a base to its opposite point,
or vertex.
A base must be perpendicular to its height.
height (H)
base (B)
Example:
4
3.5
3.5
base = 3.5 + 3.5 = 7
height = 4
Area of the roof = 1 x base x height
2
= 1 x 7 x 4 = 14
2
Area of the rectangle = 6 x 4 = 24
2
2
Total area = 14 + 24 = 38 square feet.
2
2
2
2
4
3
6
10
4
3
3
3
4
4
6
7
5
5
5
4
5
5
8
Which home should Mr. Rabbit move into? Circle it.
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Missing Digits
Fill in the missing numbers to make each
addition and subtraction equation true.
Ex.
1. 65, 098
+ 21, 101
2. 30, 33
+ 2, 12
3. 76, 84
‒ 3 , 12
86, 199
5 ,0 4
0, 5 5
4. 7, 4 3
‒ 42, 97
5. 6 , 47
+ 9, 7 3
91, 79
6. 8, 6 1
‒ 1 , 721
8. 5 , 06
‒ 47, 71
9. 90, 00
+ 3 , 02
8, 2 7
4 , 42
7. 77, 8
+ 2, 090
11 ,
78
6, 4 0
78,
1
Solve the word problems. Show your work and circle your answers.
1. Mari’s mom works as a landscape artist, creating and maintaining
beautiful gardens. Today, Mari is helping her mom place stones in a new
garden. During their first hour of work, they place 1,071 stones in the
garden. During the second hour, they place 1,280. If there are 3,500 stones
in all, how many do they still have to place?
2. Mari and her mom are creating gardens for the front and back yards of a home. They are going to plant
625 lavender seeds, 2,200 grass seeds and 935 trumpet vine seeds in the front garden. If all the seeds sprout,
how many sprouts will there be in all?
3. Mari’s mom is going to plant 3,500 seeds in the back garden. If she plants 1,675 grass seeds and 835
nasturtium seeds, how many seeds will she have left to plant?
4. Mari worked with her mom for 1 1/2 hours on Monday, 1 hour on Tuesday, and 2 1/2 hours on Wednesday.
For how many minutes did Mari work in all?
Using the numbers in the number bank, create a
six-digit number based on the clues given.
9
2
6
4
1
5
1. What is the smallest six-digit number you can make?
2. What is the largest six-digit number you can make?
3. What is the smallest six-digit number you can make that
begins with an even number?
4. What is the largest six-digit number you can make that has
9 in the hundreds place?
5. What is the smallest six-digit number you can make that
ends in 5?
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LINEAR MEASUREMENTS
1
Complete the table by converting feet yards and miles.
HINT) 3 feet(ft.) is equal to 1 yard (yd.), 1760 yards is equal to 1 mile(mi.)
1 mile
3 miles
3,520 yards
5,280 feet
2
4 miles
7,040 yards
26,400 ft.
15,840 ft.
Convert the following linear measurements.
1) 2 mi. =
4) 1760 yd. =
ft.
2) 8800 yd. =
mi.
3) 81 yd. =
ft.
5) 4 mi. =
7) 261 ft. =
yd.
8) 3 mi. =
10) 96 yd. =
ft.
11) 1/2 mi. =
13) 3 mi. =
ft.
14) 880 yd. =
mi. 15) 2 mi. =
yd.
16) 5 mi. =
yd.
17) 640 yd. =
ft.
18) 3 mi. =
yd.
Copyright ©2012-2013
2010-2011 by Education.com
6) 504 yd. =
ft.
yd.
9) 1 mi. =
yd.
yd.
12) 211 yd. =
ft.
yd.
ft.
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Name:
Parallel and Perpendicular Lines
Parallel lines are distinct lines lying in the same plane that never intersect each other.
Perpendicular lines are lines that intersect each other at right angles.
Parallel lines
Perpendicular lines
Mikey draws a line segment from (-3, -3) to (2, 6). He then draws a line segment from (-2, -5) to (3, 4).
If he wants to draw another line segment that is parallel to those two segments, what points will he use?
What about a line that is perpendicular?
8
7
6
5
4
3
2
1
-8 -7 -6 -5 -4 -3 -2 -1
0 1
2
3
4
5
6
7
8
-1
-2
-3
-4
-5
-6
-7
-8
Parallel segment:
Perpendicular segment:
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Name:
Parallel and Perpendicular Lines
Parallel lines are distinct lines lying in the same plane that never intersect each other.
Perpendicular lines are lines that intersect each other at right angles.
Parallel lines
Perpendicular lines
In each quadrant, determine if the two line segments are parallel, perpendicular, or neither. Explain why.
8
E
7
D
6
G
A
5
4
F
3
C
2
H
B
1
-8 -7 -6 -5 -4 -3 -2 -1
0 1
2
3
4
5
6
7
8
-1
J
-2
-3
I
K
L
-4
M
P
-5
-6
-7
O
N
-8
Quadrant 1: Line AB is
to Line CD because
Quadrant 1: Line EF is
to Line GH because
Quadrant 1: Line IJ is
to Line KL because
Quadrant 1: Line MN is
to Line OP because
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Riddle Me
Math!
Multidigit Addition & Subtraction
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddle.
What's the greatest use of cowhide?
7
8
1.
5.
9.
13.
17.
9
10
11
1
625
+6 6 7
1292
2.
738
+3 2 7
465
+2 8 3
693
+5 3 6
873
+5 2 7
6.
10.
14.
18.
12
13
783
–3 2 6
652
–4 2 4
398
–1 2 1
529
–2 0 4
14
T
1
2
15
16
3.
7.
11.
15.
3
17
4
18
329
+5 4 7
930
+3 0 2
788
+2 9 4
451
+6 2 9
5
6
.
4.
8.
12.
16.
472
–2 1 4
829
–4 3 6
738
–2 5 9
584
–2 4 7
826
–3 7 7
O. 393
G. 1229
S. 277
D. 228
O. 258
E. 1400
T. 1080
O. 457
H. 337
R. 449
E. 325
W. 748
L. 1065
T. 1082
H. 876
O. 479
C. 1232
T. 1292
Copyright © 2011-2012 by Education.com
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Riddle Me
Math!
Multidigit Subtraction
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddles.
What has to be broken before it can be used? An
1.
4
6 517
– 49
608
2.
796
– 83
3.
4.
8.
12.
8
9
938
– 74
472
– 57
835
– 16
10
11
5.
9.
13.
12
13
14
15
523
– 65
627
– 33
372
– 48
1
2
3
.
365
– 96
What question can you never answer “yes” to? “
7
E
4
5
6
?”
6.
10.
14.
203
– 69
487
– 24
629
– 45
7.
11.
15.
249
– 89
938
– 92
746
– 38
Y. 160
E. 584
G. 269
E. 134
U. 594
G. 713
O. 415
L. 819
P. 708
458
R. 864
S. 846
A. 864
A. 463
E. 608
E. 324
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Riddle Me
Math!
Multidigit Subtraction
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddles.
What can fill a room but takes up no space?
1.
5 13
6 410
–2 6 4
376
2.
829
–1 0 0
3.
455
–2 8 3
L
1
4.
2
3
988
–5
627
4
5
5.
.
284
–2 5 9
What has a foot on each side and one in the middle?
6
6.
11.
7
8
722
–3 4 6
692
–4 8 3
9
10 11
7.
12.
12
13
826
–4 6 5
909
–7 3 8
8.
13.
14
.
563
–3 7 2
654
–4 2 1
9.
14.
278
–1 3 4
10.
854
–5 2 3
846
–2 8 4
Y. 376
K. 562
T. 209
L. 376
H. 361
461
T. 25
I. 729
A. 361
D. 144
146
I. 171
S. 331
R. 191
C. 233
G. 172
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Riddle Me
Math!
Multidigit Addition & Subtraction
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddle.
What did the sea say to the sand?
8
9
1.
5.
9.
13.
17.
10
11
12
1
986
+2 4 3
1229
2.
528
+7 4 6
341
+6 7 2
840
+2 7 5
693
+7 3 0
6.
10.
14.
18.
13
14
629
–3 7 4
463
–1 1 9
653
–4 2 1
984
–3 4 8
N
1
2
15
16
3.
7.
11.
15.
3
17
4
18
5
6
7
,
.
352
+6 8 7
792
+3 5 6
478
+9 2 8
164
+5 3 2
4.
8.
12.
16.
498
–3 0 2
986
–5 2 7
736
–2 6 4
821
–3 9 0
852
–5 4 6
E. 1013
T. 1115
N. 1229
V. 431
G. 1148
H. 196
T. 1039
D. 306
N. 344
J. 232
E. 1423
S. 472
A. 696
I. 1274
U. 1406
0. 255
W. 636
H. 459
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H
M
A T
GEOMETRY
Angle Steering 1
Steering a ship requires practice and precision. It also requires
you to think about math and angles.
Turn the ship’s wheel according to the angle measurements
given. See the examples below. With each new turn,
indicate the ship’s new direction by drawing a line towards
it. Turn clockwise if the angle is positive, counterclockwise
if it is negative. Use a ruler to help you draw straight lines.
1
2
Turn
Degrees
+26
+37
New
Direction
26
63
3
4
5
-51 +153 -92
6
7
-30
-9
8
9
+185 -67
N
10
11
12
+49
+93
-60
What direction is
the boat facing after
the last turn?
360/0
N
330
30
NW
NE
NE
E
SE
rn
1
S
SW
26
tu
300
60
W
NW
2
rn = 63
7
tu
26
+3
W 270
90
240
120
SW
210
150
180
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Copyright 2010-2011 Education.com
S
SE
E
H
M
A T
GEOMETRY
Parallel and Perpendicular lines
Wally the Worm
Wally the Worm needs help learning parallel and
perpendicular lines. Draw parallel lines through the
black dots and perpendicular lines through the white
dots. Use a ruler to help you draw straight lines.
Parallel
Perpendicular
1
2
3
4
5
6
7
8
9
Copyright 2010-2011 Education.com
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H
M
A T
FRACTIONS
Skill Practice
Simplifying Fractions
Simplify the following fractions. Show your work.
12
30
2
5
20
24
63
70
5
15
27
45
10
20
3
18
18
27
24
32
6
6
Now that you’ve got the hang of it, look closely at the following
fractions. They do not simplify very well, but they are very close to a
simplifiable fraction. For example, 51/100 cannot be simplified, but we
know that 50/100 = 1/2. So, 50/100 can be approximated to 1/2. Be
sure to show your work.
16 ≈ 1
63
4
75 ≈
99
13 ≈
25
19 ≈
100
11 ≈
72
41 ≈
63
28 ≈
71
24 ≈
97
99
19 ≈
18
95
98
16 16
≈ 64
16
1
4
Copyright 2010-2011 Education.com
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Riddle Me
Math!
Multidigit Addition
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddles.
What holds water yet is full of holes? A
1.
5.
111
1034
+ 977
2.
5629
+ 1032
6.
6270
+ 3064
S
1
3.
2
3
1562
+ 1935
4
5
4.
6
.
2974
+ 6531
728
+ 3728
What do you call a kitten drinking lemonade?
A
7.
11.
7
8
9
8298
+ 674
6921
+ 2738
10
11
8.
12.
12
13
14
.
3720
+ 4832
1282
+ 4326
9.
13.
2983
+ 1844
374
+ 9203
10.
14.
2210
+ 732
1292
+ 6632
N. 9505
S. 7924
O. 3497
R. 2942
P. 9659
S. 9577
S. 8972
U. 5608
G. 6661
S. 2011
U. 4827
P. 9334
E. 4456
O. 8552
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Riddle Me
Math!
Multidigit Subtraction
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddles.
What kind of room has no windows or doors?
A
1.
5.
M
1
2
6
712 9
–4 8 3
246
743
–2 9 0
3
4
5
2.
6.
6
7
346
–1 8 4
9.
13.
974
–7 3 1
10.
14.
3.
647
–4 6 5
What do you fill with empty hands?
739
–2 6 4
.
8
7.
9
472
–1 2 2
10
11.
845
–2 6 5
4.
387
–1 9 3
11
12
375
–1 4 3
365
–1 6 6
584
–4 7 3
8.
13
14
12.
.
623
–3 3 7
352
–1 2 1
G. 475
O. 182
U. 162
V. 286
R. 453
H. 199
198
L. 350
S. 231
0. 194
M. 111
O. 232
M. 246
E. 243
S. 580
Copyright © 2011-2012 by Education.com
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Riddle Me
Math!
Multidigit Addition & Subtraction
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddle.
A woman has 7
children,
half half
of them
are boys.
HowHow
can this
be? be?
seven
children;
of them
are boys.
can this
T
1
2
1.
5.
9.
13.
1
3
+4
8
31
1
29
73
02
652
+9 7 4
252
+7 8 3
822
+3 7 1
2
4
52
2.
6.
10.
14.
61
2
7
2
8
748
–3 6 2
3.
459
–2 0 4
854
–2 1 0
1
9
7.
11.
2
10
1
11
647
+2 8 3
352
+5 3 7
263
+7 4 8
1
12
2
13
4.
8.
12.
2
14
.
829
–5 4 6
903
–5 3 2
672
–3 2 1
947
–4 2 6
E. 930
A. 1626
L. 1035
T. 802
B. 1011
A. 371
O. 351
R. 255
Y. 1193
Y. 283
L. 644
H. 386
S. 521
E. 889
Copyright © 2011-2012 by Education.com
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n
H
M
A T
FRACTIONS
&
Navigate the treacherous seas by simplifying the following
fractions. Use the compass on the right to guide you. Start at
the red arrow and go north, south, east or west to the next
square with each fraction your reduce. Draw a line to track
your journey. Show your work.
w
12
11
10
1 2 3
9 8 7
Compass Instructions: Once you reduce a fraction
completely, look at its denominator and then find that
number on the compass and move in the direction it points.
s
6
15
5
35
4
40
4
48
8
40
15
33
5
30
7
21
2
8
9
12
3
6
28
32
5
10
18
66
42
60
2
24
Copyright 2010-2011 Education.com
4
5
6
4
4
7
8
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e
Answer Sheets
4th Grade Math Practice Packet
Least Common Multiple: Easy
Angle Puzzle
Find the Greatest Common Factor #1
Plot Coordinates
Dizzy Over Decimals: Addition #2
Converting Improper Fractions
Dizzy Over Decimals: Addition #3
Inverse Operations: Multiplication
Mean, Median and Mode
Practice Finding Area #8: Find a New Home
Arithmetic Puzzles
Word Problems: How Does Your Garden Grow?
Number Scramble
Probability Practice: Birds
Convert Yards to Miles
Parallel and Perpendicular Lines
Math Riddles: Adding and Subtracting
Math Riddles: Subtraction #3
Probability Quiz
Math Riddles: Subtraction #1
Math Riddles: Solve the Equation
Angle Practice
Skill Practice 3: Simplifying Fractions
Math Riddles: Addition #3
Math Riddles: Subtraction #4
Math Riddles: Triple Digits
Steer & Simplify #5
Math
Algebra
Answer Sheet
Least Common Multiple: Easy
A multiple is the product of two integers. To find the multiples of a certain number,
multiply that number by every integer, starting with 1.
Example: The multiples of 2 are 2, 4, 6, 8, 10, and so on.
Common multiples are numbers that share one or more of the same multiples.
Example: Multiples of 2 are 2, 4, 6, 8, 10, 12, and so on.
Multiples of 3 are 3, 6, 9, 12, 15, and so on.
6 and 12 appear in these lists, so they are common multiples of 2 and 3.
Least common multiple (LCM) is the smallest common multiple of two or more numbers.
From the example above, the LCM of 2 and 3 is 6.
LCM can be found by listing the multiples and looking for the smallest common one in the lists.
Circle the common multiples of the pair of numbers, then answer the questions.
Multiples of 4 = 4, 8, 12, 16, 20, ...
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, ...
Multiples of 5 = 5, 10, 15, 20, 25, ...
Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, ...
The common multiple is:
The LCM is
20
20
.
The common multiple is:
42
The LCM is
.
42
.
.
Multiples of 8 = 8, 16, 24, 32, 40, ...
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, ...
Multiples of 10 = 10, 20, 30, 40, 50, ...
Multiples of 12 = 12, 24, 36, 48, 60, 72, ...
The common multiple is:
The LCM is
40
40
.
.
36
The common multiple is:
36
The LCM is
.
.
Fill in the blanks and find the least common multiples below.
Multiples of 2 = 2, ___
4 ,___
6 , ___
8 ,___
10 ,12, ...
15 ,__
18 , 21
Multiples of 3 = 3, __
__ ,__
__ ,__
6 ,__
9 ,12
24, ...
12 ,___
Multiples of 3 = 3, ___
6 ,___
9 , ___
15 ,18, ...
8 ,__
12 ,16
Multiples of 4 = 4, __
__ ,__
__ ,__
20,__
24, 28
32, ...
The common multiples are:
The LCM is
6
6 and 12 .
.
Copyright © 2010-2011 by Education.com
The common multiples are: 12 and 24 .
The LCM is
12
.
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Answer Sheet
H
M
A T
GEOMETRY
Angle Steering 2
Steering a ship requires practice and precision. It also requires
you to think about math and angles.
Turn the ship’s wheel according to the angle measurements
given. See the examples below. With each new turn,
indicate the ship’s new direction by drawing a line towards
it. Turn clockwise if the angle is positive, counterclockwise
if it is negative. Use a ruler to help you draw straight lines.
Turn
Degrees
New
Direction
1
2
3
4
5
6
+150
+42
+21
-79
+182
7
-38 -13
8
9
+80
10
11
-45 -208 -21
150 192 213 134 316 278 265 345 300
N
92
12
+49
71 120
What direction is
the boat facing after
the last turn?
360/0
N
330
NW
30
NE
8
NE
E
SE
S
5
SW
300
60
W
9
NW
11
6
W 270
10
7
90
12
n1
t u r 50
1
SW
turn 2
210
150
180
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Copyright 2010-2011 Education.com
4
120
26 + 3
3
7 = 19
2
240
S
SE
E
Answer Sheet
M
A
T
H
The
Example
36 48
36 = 18 x 2
2 is a prime number and divides into 18 evenly 36 times.
2
2
36 = 9 x 2 x 2
18 can be divided by 2, leaving 9.
2
2
36 = 3 x 3 x 2 x 2
3
2
9 can be divided by 3, leaving 3. Now we have all prime
numbers.
48 = 24 x 2
3
2
48 = 12 x 2 x 2
3
48 = 6 x 2 x 2 x 2
2 x 2 x 3 = 12
Once you find the prime factors of the second number,
see which numbers they have in common. Circle and
multiply them to get your GCF. If there are no prime
factors in common, then the GCF is 1.
48 = 3 x 2 x 2 x 2 x 2
2, 2, 3
GCF
40 60
Numbers in common:
30 75
84 105
2
2
2
3
2
3
2
2
3
5
2
5
2
3
5
5
3
7
5
5
15
GCF
18 25
50 125
5
3
5
3
1
GCF
Copyright 2010-2011 Education.com
2
2
2
7
7
20
GCF
2
56 96
2
5
5
5
5
5
25
GCF
21
GCF
8
GCF
72 108
2
2
2
3
3
2
2
3
3
3
18
GCF
2
2
2
2
2
3
56 112
2
2
2
7
2
2
2
2
7
28
GCF
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4TH GRADE
Collision Coordinates
L I N E A R
M A T H
Answer Sheet
Balloons and birds are on a collision course in the sky! When their
paths cross, the balloons pop! Plot 10 points for each of the 4
linear equations using the T-charts given. Graph each line on the
x-y coordinates and answer the questions on the right.
Red
balloon
y = 2x - 24
x
12
13
y
0
2
Green
balloon
x
y = 3x - 75
x
y = /2 + 6
y
x
y
At what coordinate (x,y)
does the blue bird pop the
green balloon?
x
y = /4 + 13
x
y
0
2
6
7
0
4
13
14
27 6
28
9
29 12
30 15
31 18
32 21
33 24
34 27
4
8
9
8
12
16
20
24
28
32
36
15
16
17
18
19
20
21
22
6
8 10
10 11
14 13
18 15
22 17
24 18
20 , 16
( ___
___ )
Blue
bird
0
3
25
26
14
4
15 6
17 10
19 14
20 16
21 18
23 22
24 24
Orange
bird
At what coordinate (x,y)
does the orange bird pop
the red balloon?
32 , ___
21 )
( ___
Coordinate answers
will vary depending on
choice of X.
y
25
20
15
10
5
0
5
10
Copyright 2010-2011 Education.com
15
20
25
30
35
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40
x
Kramsters are very picky eaters. Feed each
kramster the correct number of pellets by
converting the following improper fractions to
mixed numbers. Color in the pellets to match
each mixed number.
EXAMPLE:
3
13
4
1
4
ANSWERS
12 =
6
2
15 =
4
3
3
4
3
2
=
1
1
2
14 =
5
2
4
5
For the last one, shade in the pellets using your own outlines.
20 =
6
3
2
1
3
Copyright 2010-2011 Education.com
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Inverse Operations: Multiplication
(answer sheet)
Match the multiplication equation on the left with its inverse
division equation on the right.
11 x 3 = 33
20 ÷ 10 = 2
4 x 12 = 48
55 ÷ 11 = 5
2 x 10 = 20
33 ÷ 3 = 11
13 x 4 = 52
45 ÷ 3 = 15
5 x 11 = 55
48 ÷ 12 = 4
15 x 3 = 45
52 ÷ 4 = 13
Complete the multiplication problems and then write out
its inverse equations.
1.) 9 x 13 = 117
117 ÷ 13 = 9 & 117 ÷ 9 = 13
2.) 8 x 12 = 96
96 ÷ 12 = 8 & 96 ÷ 8 = 12
3.) 10 x 5 = 50
50 ÷ 5 = 10 & 50 ÷ 10 = 5
4.) 14 x 4 = 56
56 ÷ 4 = 14 & 56 ÷ 14 = 4
5.) 2 x 15 = 30
30 ÷ 15 = 2 & 30 ÷ 2 = 15
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Mean, Median and Mode
(answer sheet)
Find the mean, defined as the average of a group of numbers. To
find the mean, add all the digits together and divide by the number
of digits there are.
1.) 6 , 3 , 8 , 11 , 12 , 5 = 7.5
2.) 10 , 4 , 7 , 12 , 6 = 7.8
3.) 4 , 4 , 9 , 13 , 2 = 6.4
4.) 9 , 5 , 5 , 5 , 12 , 15 = 8.5
5.) 2 , 2 , 2 , 15 , 14 = 7
6.) 3 , 5 , 6 , 3 , 5 , 6 = 4.7
Find the median, defined as the middle number in a group of
numbers. To find the median, put the numbers in numerical order
and identify the middle number.
1.) 12 , 9 , 9 , 11 , 5 , 6 , 8 = 9
2.) 3 , 3 , 5 , 9 , 1 , 2 , 4 = 3
3.) 7 , 3 , 9 , 8 , 8 , 10 , 4 = 8
4.) 4 , 6 , 8 , 10 , 7 = 7
5.) 8 , 7 , 6 , 10 , 11 , 11 , 6 = 8
6.) 8 , 11 , 11 , 12 , 9 = 11
Find the mode, defined as the number that occurs the most in a
group of numbers. To find the mode, place the numbers in
numerical order and identify the one that occurs the most.
1.) 7 , 4 , 4 , 3 , 8 , 4 = 4
2.) 9 , 1 , 2 , 9 , 2 , 5 , 2 = 2
3.) 3 , 4 , 9 , 0 , 3 , 1 = 3
4.) 8 , 4 , 9 , 8 , 3 , 8 = 8
5.) 11 , 11 , 4 , 7 , 4 , 12 , 4 = 4
6.) 9 , 10 , 10 , 3 , 8 = 10
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4th e
Grad
e
m
oSh
Find a NewAnH
eet
swer
?
Help Mr. Rabbit find his new home. The total area of his place has to be at least 60 square feet.
This includes the area of a roof (triangle) plus the area of the house (rectangle).
Review:
Rectangle Area = length x width
1
2
Triangle Area =
x base x height
The base of a triangle can be any one of its sides.
The height is the distance from a base to its opposite point,
or vertex.
A base must be perpendicular to its height.
height (H)
base (B)
Example:
4
3.5
3.5
base = 4
height = 2
base = 3.5 + 3.5 = 7
height = 4
Area of the roof = 1 x base x height
2
= 1 x 7 x 4 = 14
2
Area of the rectangle = 6 x 4 = 24
1
x4x2=4 4x2=8
2
Area of the rectangle = 10 x 3 = 30
Area of the roof =
2
2
Total area = 14 + 24 = 38 square feet.
2
Total Area =
30 + 8 = 38
2
2
square feet
2
4
3
6
10
4
3
3
3
4
4
6
7
base = 6
height = 3
5
base = 8
height = 4
5
1
x6x3=9
2
Area of the rectangle = 7 x 5 = 35
Area of the roof =
5
5
1
Area of the roof =
x 8 x 4 = 16
2
Area of the rectangle = 5 x 5 = 25
5
4
base = 10 8
height = 6
Total Area = 16 + 25 = 41 square feet
Which
home should Mr. Rabbit move into? Circle it. Area of the roof = 1 x 10 x 6 = 30
Total Area = 9 + 35 = 44 square feet
2
Area of the rectangle = 4 x 8 = 32
Total Area = 30 + 32 = 62 square feet
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Missing Digits
Fill in the missing numbers to make each
addition and subtraction equation true.
ANSWERS
Ex.
1. 65, 098
+ 21, 101
2. 30, 332
+ 22, 712
3. 76, 684
‒ 36, 129
86, 199
53, 044
40, 555
4. 87, 423
‒ 42, 997
6. 98, 631
‒ 19, 721
44, 426
5. 61, 476
+ 29, 703
91, 179
7. 77, 888
+ 42, 090
8. 54, 206
‒ 47, 716
119, 978
6, 490
9. 90, 005
+ 38, 202
128, 207
78, 910
Solve the word problems. Show your work and circle your answers.
1. Mari’s mom works as a landscape artist, creating and maintaining
beautiful gardens. Today, Mari is helping her mom place stones in a new
garden. During their first hour of work, they place 1,071 stones in the
garden. During the second hour, they place 1,280. If there are 3,500 stones
in all, how many do they still have to place?
1,071
+ 1,280
________
3,500
- 2,351
________
2,351
1,149
2. Mari and her mom are creating gardens for the front and back yards of a home. They are going to plant
625 lavender seeds, 2,200 grass seeds and 935 trumpet vine seeds in the front garden. If all the seeds sprout,
how many sprouts will there be in all?
625
2,200
+ 935
________
3,760
3. Mari’s mom is going to plant 3,500 seeds in the back garden. If she plants 1,675 grass seeds and 835
nasturtium seeds, how many seeds will she have left to plant?
1,675
+ 835
________
3,500
- 2,510
________
2,510
990
4. Mari worked with her mom for 1 1/2 hours on Monday, 1 hour on Tuesday, and 2 1/2 hours on Wednesday.
For how many minutes did Mari work in all?
1 1/2 hours + 1 hour + 2 1/2 hours
= 5 hours
60 minutes
x 5 hours
_____________
300 minutes
Using the numbers in the number bank, create a
six-digit number based on the clues given.
9
2
6
4
1
5
1. What is the smallest six-digit number you can make?
1
2
4
5
6
9
2. What is the largest six-digit number you can make?
9
6
5
4
2
1
3. What is the smallest six-digit number you can make that
begins with an even number?
2
1
4
5
6
9
4. What is the largest six-digit number you can make that has
9 in the hundreds place?
6
5
4
9
2
1
5. What is the smallest six-digit number you can make that
ends in 5?
1
Copyright 2012-2013 Education.com
2
4
6
9
5
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LINEAR MEASUREMENTS
1
Complete the table by converting feet yards and miles.
HINT) 3 feet(ft.) is equal to 1 yard (yd.), 1760 yards is equal to 1 mile(mi.)
2 miles
1 mile
4 miles
3 miles
5 miles
1760 yards 3,520 yards 5,280 yards 7,040 yards 8800 yards
5,280 feet
2
10,560 ft.
21,120 ft.
15,840 ft.
26,400 ft.
Convert the following linear measurements.
1) 2 mi. =
10,560 ft.
2) 8800 yd. =
4) 1760 yd. = 5280 ft.
5
mi.
5) 4 mi. =
7040
yd.
8) 3 mi. =
5280 yd.
ft.
11) 1/2 mi. =
880
13) 3 mi. =
15,840 ft.
14) 880 yd. =
1/2
16) 5 mi. =
8800
17) 640 yd. =
7) 261 ft. =
87
10) 96 yd. = 288
yd.
Copyright ©2012-2013
2010-2011 by Education.com
yd.
3) 81 yd. =
243
6) 504 yd. =
1512
9) 1 mi. =
yd.
12) 211 yd. =
mi. 15) 2 mi. =
1920 ft.
1760
18) 3 mi. =
ft.
ft.
yd.
633
ft.
3,520 yd.
5,280
yd.
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Name:
Parallel and Perpendicular Lines
Parallel lines are distinct lines lying in the same plane that never intersect each other.
Perpendicular lines are lines that intersect each other at right angles.
Parallel lines
Perpendicular lines
In each quadrant, determine if the two line segments are parallel, perpendicular, or neither. Explain why.
8
E
7
D
6
G
A
5
4
F
3
C
2
H
B
1
-8 -7 -6 -5 -4 -3 -2 -1
0 1
2
3
4
5
6
7
8
-1
J
-2
-3
I
L
-4
M
P
-5
K
-6
-7
O
N
-8
Quadrant 1: Line AB is
perpendicular
Quadrant 1: Line EF is
parallel
to Line GH because
they will never cross
Quadrant 1: Line IJ is
not parallel
to Line KL because
they will cross
Quadrant 1: Line MN is
not perpendicular
to Line CD because they cross at right angles
to Line OP because they don’t cross at right angles
Created by:
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Riddle Me
Math!
Multidigit Addition & Subtraction
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddle.
What's the greatest use of cowhide?
T
O
H
O
L
D
1
2
3
4
5
6
C
O
W
S
T
O
G
E
T
H
E
7
8
9
10
11
12
13
14
15
16
17
2.
783
–3 2 6
457
6.
652
–4 2 4
228
10.
398
–1 2 1
277
14.
529
–2 0 4
325
18.
826
–3 7 7
449
1.
1
625
+6 6 7
1292
5.
738
+3 2 7
1065
9.
465
+2 8 3
748
13.
693
+5 3 6
1229
17.
873
+5 2 7
1400
3.
329
+5 4 7
876
7.
930
+3 0 2
1232
11.
788
+2 9 4
1082
15.
451
+6 2 9
1080
R .
18
4.
8.
472
–2 1 4
258
829
–4 3 6
393
12.
738
–2 5 9
479
16.
584
–2 4 7
337
O. 393
G. 1229
S. 277
D. 228
O. 258
E. 1400
T. 1080
O. 457
H. 337
R. 449
E. 325
W. 748
L. 1065
T. 1082
H. 876
O. 479
C. 1232
T. 1292
Copyright © 2011-2012 by Education.com
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Riddle Me
Math!
Multidigit Subtraction
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddles.
What has to be broken before it can be used? An
1.
4
6 517
– 49
608
2.
796
– 83
713
3.
E
G
1
2
O
U
A
S
L
E
E
7
8
9
10
11
12
13
14
4.
938
– 74
864
8.
472
– 57
415
12.
835
– 16
819
5.
523
– 65
458
9.
627
– 33
594
13.
372
– 48
324
P ?”
3
365
– 96
269
What question can you never answer “yes” to? “ A
Y
G .
4
R
E
5
6
15
6.
203
– 69
134
10.
487
– 24
463
14.
629
– 45
584
7.
249
– 89
160
11.
938
– 92
846
15.
746
– 38
708
Y. 160
E. 584
G. 269
E. 134
U. 594
G. 713
O. 415
L. 819
P. 708
R. 864
458
S. 846
A. 864
A. 463
E. 608
E. 324
Copyright © 2011-2012 by Education.com
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Riddle Me
Math!
Multidigit Subtraction
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddles.
What can fill a room but takes up no space?
1.
5 13
6 410
–2 6 4
376
2.
829
–1 0 0
729
3.
455
–2 8 3
172
L
I
G
H
1
2
3
4
4.
9
–5
6
3
4
8
2
6
8
7
1
7
3
4
8
4
6
4
T .
5
5.
284
–2 5 9
25
10.
854
–5 2 3
331
What has a foot on each side and one in the middle?
Y A R D S T I C K .
6
7
8
6.
722
–3 4 6
376
11.
692
–4 8 3
209
9
10
11
12
7.
826
–4 6 5
361
12.
909
–7 3 8
171
13
14
8.
563
–3 7 2
191
13.
654
–4 2 1
233
9.
14.
2
–1
1
846
–2 8 4
562
Y. 376
K. 562
T. 209
L. 376
H. 461
361
T. 25
I. 729
A. 361
144
D. 146
I. 171
S. 331
R. 191
C. 233
G. 172
Copyright © 2011-2012 by Education.com
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Riddle Me
Math!
Multidigit Addition & Subtraction
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddle.
What did the sea say to the sand?
N
O
T
H
I
N
1
2
3
4
5
6
H
E
J
U
S
T
W
A
V
E
8
9
10
11
12
13
14
15
16
17
1.
5.
9.
1
986
+2 4 3
1229
528
+7 4 6
1274
341
+6 7 2
1013
13.
840
+2 7 5
1115
17.
693
+7 3 0
1423
2.
629
–3 7 4
25
25
6.
463
–1 1 9
344
10.
653
–4 2 1
232
14.
984
–3 4 8
636
18.
852
–5 4 6
306
D .
3.
7.
792
+3 5 6
1148
15.
7
18
352
+6 8 7
1039
11.
G ,
478
+9 2 8
1406
164
+5 3 2
396
6
4.
8.
12.
16.
498
–3 0 2
196
986
–5 2 7
459
736
–2 6 4
472
821
–3 9 0
431
E. 1013
T. 1115
N. 1229
V. 431
G. 1148
H. 196
T. 1039
D. 306
N. 344
J. 232
E. 1423
S. 472
A. 696
I. 1274
U. 1406
0. 255
W. 636
H. 459
Copyright © 2011-2012 by Education.com
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Answer Sheet
H
M
A T
GEOMETRY
Angle Steering 1
Steering a ship requires practice and precision. It also requires
you to think about math and angles.
Turn the ship’s wheel according to the angle measurements
given. See the examples below. With each new turn,
indicate the ship’s new direction by drawing a line towards
it. Turn clockwise if the angle is positive, counterclockwise
if it is negative. Use a ruler to help you draw straight lines.
1
2
Turn
Degrees
+26
+37
New
Direction
26
63
3
4
5
-51 +153 -92
12 165
73
6
7
-30
-9
43
8
9
+185 -67
10
11
12
+49
+93
-60
34 219 152 201 294 234
N
What direction is
the boat facing after
the last turn?
360/0
N
330
30
NW
NE
NE
3
E
7
SE
S
rn
1
6
SW
26
tu
300
60
W
NW
11
2
rn = 63
7
tu
26
5
+3
W 270
90
240
12
120
8
9
10
SW
4
210
180
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S
150
SE
E
Answer Sheet
H
M
A T
FRACTIONS
Skill Practice
Simplifying Fractions
Simplify the following fractions. Show your work.
2
5
20
24
5
6
63
70
9
10
5
15
1
3
27
45
3
5
10
20
1
2
3
18
1
6
18
27
2
3
24
32
3
4
12
30
6
6
Now that you’ve got the hang of it, look closely at the following
fractions. They do not simplify very well, but they are very close to a
simplifiable fraction. For example, 51/100 cannot be simplified, but we
know that 50/100 = 1/2. So, 50/100 can be approximated to 1/2. Be
sure to show your work.
75 ≈ 3
99
4
13 ≈ 1
25
2
19 ≈ 1
100
5
11 ≈ 1
72
6
41 ≈ 25
63
38
7
28 ≈ 2
71
5
18
24 ≈ 1
99
4
19 ≈ 1
98
5
16 ≈ 1
63
4
16 16
≈ 64
16
1
4
Copyright 2010-2011 Education.com
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Riddle Me
Math!
Multidigit Addition
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddles.
What holds water yet is full of holes? A
1.
5.
111
1034
+ 977
2011
5629
+ 1032
6661
2.
6270
+ 3064
9334
6.
728
+ 3728
4456
S
P
O
N
G
1
2
3
4
5
3.
1562
+ 1935
3497
E .
6
4.
2974
+ 6531
9505
10.
2210
+ 732
2942
What do you call a kitten drinking lemonade?
A S O U R P U S S .
7
7.
11.
8
9
8298
+ 674
8972
4456
6921
+ 2738
9659
10
11
8.
12.
12
13
14
3720
+ 4832
8552
8972
1282
+ 4326
5608
9.
13.
2983
+ 1844
4827
8552
374
+ 9203
9577
14.
1292
+ 6632
7924
N. 9505
S. 7924
O. 3497
R. 2942
P. 9659
S. 9577
S. 8972
U. 5608
G. 6661
S. 2011
U. 4827
P. 9334
E. 4456
O. 8552
Copyright © 2011-2012 by Education.com
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Riddle Me
Math!
Multidigit Subtraction
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddles.
What kind of room has no windows or doors?
A
1.
5.
M
U
S
H
R
O
O
1
2
3
4
5
6
7
6
712 9
–4 8 3
246
743
–2 9 0
453
2.
346
–1 8 4
162
6.
647
–4 6 5
182
What do you fill with empty hands?
9.
739
–2 6 4
475
13.
974
–7 3 1
243
10.
472
–1 2 2
350
14.
352
–1 2 1
231
M .
8
3.
845
–2 6 5
580
7.
387
–1 9 3
194
G
L
O
V
E
9
10
11
12
13
11.
375
–1 4 3
232
4.
3
–1
1
8.
584
–4 7 3
111
5
6
9
8
S .
14
12.
623
–3 3 7
286
G. 475
O. 182
U. 162
V. 286
R. 453
H. 198
199
L. 350
S. 231
0. 194
M. 111
O. 232
M. 246
E. 243
S. 580
Copyright © 2011-2012 by Education.com
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6
9
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Riddle Me
Math!
Multidigit Addition & Subtraction
Directions:
Solve each math problem. Then find the answer and write
the letter in the correct place to solve the riddle.
A woman has seven children,; half of them are boys. How can this be?
T
H
E
Y
A
R
E
A
L
L
B
O
Y
1
2
3
4
5
6
7
8
9
10
11
12
13
1.
5.
9.
13.
1
3
+4
8
1
29
73
02
652
+9 7 4
1626
252
+7 8 3
1035
822
+3 7 1
1193
2.
748
–3 6 2
386
6.
459
–2 0 4
255
10.
14.
854
–2 1 0
644
3.
647
+2 8 3
930
7.
352
+5 3 7
889
11.
263
+7 4 8
1011
S .
14
4.
829
–5 4 6
283
8.
903
–5 3 2
371
12.
672
–3 2 1
351
947
–4 2 6
521
E. 930
A. 1626
L. 1035
T. 802
B. 1011
A. 371
O. 351
R. 255
Y. 1193
Y. 283
L. 644
H. 386
S. 521
E. 889
Copyright © 2011-2012 by Education.com
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Answer Sheet
n
H
M
A T
FRACTIONS
&
Navigate the treacherous seas by simplifying the following
fractions. Use the compass on the right to guide you. Start at
the red arrow and go north, south, east or west to the next
square with each fraction your reduce. Draw a line to track
your journey. Show your work.
12
11
10
w
1 2 3
9 8 7
Compass Instructions: Once you reduce a fraction
completely, look at its denominator and then find that
number on the compass and move in the direction it points.
4
5
6
s
6
15
2
5
5
35
1
7
4
40
1
10
4
48
1
12
8
40
1
5
15
33
5
11
5
30
1
6
7
21
1
3
2
8
1
4
9
12
3
4
3
6
1
2
28
32
5
10
1
2
18
66
3
11
42
60
7
10
2
24
Copyright 2010-2011 Education.com
4
4
7
8
1
12
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