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 Copyright © 2009-2010 by Education.com More worksheets at www.education.com/worksheets 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 . . More worksheets at www.education.com/worksheets 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 Copyright © 2012-2013 by Education.com More worksheets at www.education.com/worksheets 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 created by: www.education.com/worksheets Copyright 2010-2011 Education.com 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 www.education.com/worksheets created by: 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 Copyright 2010-2011 Education.com 15 20 25 30 35 www.education.com/worksheets created by: 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 Copyright 2010-2011 Education.com www.education.com/worksheets created by: 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 = _____________ Copyright 2012-2013 Education.com Created by : www.education.com/worksheets 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 = Copyright 2012-2013 Education.com Created by : www.education.com/worksheets 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. Copyright © 2010-2011 by Education.com More worksheets at www.education.com/worksheets 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? Copyright 2012-2013 Education.com Created by : www.education.com/w orksheets 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. More worksheets at www.education.com/worksheets 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: Created by: Copyright © 2012-2013 by Education.com More worksheets at www.education.com/worksheets 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 Created by: Copyright © 2012-2013 by Education.com More worksheets at www.education.com/worksheets 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 More worksheets at www.education.com/worksheets 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 Copyright © 2011-2012 by Education.com More worksheets at www.education.com/worksheets 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 Copyright © 2011-2012 by Education.com More worksheets at www.education.com/worksheets 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 Copyright © 2011-2012 by Education.com More worksheets at www.education.com/worksheets 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 created by: www.education.com/worksheets 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 www.education.com/worksheets created by: 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 www.education.com/worksheets created by: 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 Copyright © 2011-2012 by Education.com More worksheets at www.education.com/worksheets 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 More worksheets at www.education.com/worksheets 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 More worksheets at www.education.com/worksheets 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 www.education.com/worksheets created by: 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 . More worksheets at www.education.com/worksheets 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 created by: www.education.com/worksheets 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 www.education.com/worksheets created by: 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 www.education.com/worksheets created by: 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 www.education.com/worksheets created by: 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 Copyright 2012-2013 Education.com Created by : www.education.com/worksheets 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 Copyright 2012-2013 Education.com Created by : www.education.com/worksheets 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 Copyright © 2010-2011 by Education.com More worksheets at www.education.com/worksheets 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 Created by : www.education.com/w orksheets 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. More worksheets at www.education.com/worksheets 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: Copyright © 2012-2013 by Education.com More worksheets at www.education.com/worksheets 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 More worksheets at www.education.com/worksheets 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 More worksheets at www.education.com/worksheets 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 More worksheets at www.education.com/worksheets 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 More worksheets at www.education.com/worksheets 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 created by: www.education.com/worksheets Copyright 2010-2011 Education.com 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 www.education.com/worksheets created by: 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 More worksheets at www.education.com/worksheets 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 6 6 9 More worksheets at www.education.com/worksheets 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 More worksheets at www.education.com/worksheets 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 www.education.com/worksheets created by: e