5th Grade Math Practice

Transcription

1 5th Grade Math Practice Have your kid go over some of the important ideas covered in 5th grade math. After she's mastered these concepts, she'll be ready to tackle math in middle school.

2 Table of Contents Division Duplication: 5th Grade Solve a Division Riddle Dividing Decimals Division Coloring Page Solve for X Order of Operations Practice #1 Order of Operations Practice # Finding the Average: Mean, Median, and Mode Determine Mean It's Freez ing! Practice Finding Mode What's the Range? Building Exponents: Squares, Cubes, and Roots Multiplying with Exponents Multiplying Numbers with Exponents Power Play: Dividing with Exponents Geometry Review: Angles and Polygons Find the Surface Area: Rectangular Prism Find the Surface Area: Cube Mystery Picture Graph #1 Mystery Picture Graph # Mystery Picture Graph # How to Order Decimals Ordering Decimals Practice Cross-Multiplication

3 Division Duplication 5th Grade There are 7 pairs of matching cards. Solve the equations then draw a line between symbols with the matching answers in the key below. 6 4,566 4,090 5,060 1,40 1, ,71 6 4, ,708 1, ,70,76 7 1,167 8,48 Key Copyright Education.com created by:

4 Solve each problem below by dividing. Use the letter key to solve the riddle. Letter Key 1 = R 1 = O 1 = I 16 = G 85 = D 17 = Y Where did Louie the dog purchase his shiny new collar? At a store called Copyright by Education.com

5 Delicious Decimals Solve the problems by adding each set of decimals. Don t forget to make the divisor a whole number Copyright by Education.com More worksheets at

6 Cupcake Math Note: More worksheets at Instructions: Complete each math problem and color the page! by Education.com

7 Owl Math Note: More worksheets at Instructions: Complete each math problem and color the page! by Education.com

8 Circus Math Note: More worksheets at Instructions: Complete each math problem and color the page! by Education.com

9 Duck Math Note: More worksheets at Instructions: Complete each math problem and color the page! by Education.com

10 Finding the Average: Mean, Median, and Mode In statistics, there are three kinds of averages: mean, median, and mode. -MEAN: The mean of a group of numbers is the average of the numbers. -MEDIAN: The median of a group of numbers is the number that is exactly in the middle when the numbers are arranged numerically. Note: For even sets of numbers, take the average of the middle two numbers. -MODE: The mode of a group of numbers is the number that appears most often. Example Soccer Goals Before you do any computing, you should always write the numbers in numerical order, from smallest to largest: MEAN: Add all the numbers together ( =10) then divide (10) by the number of numbers added together (9), so 10 9 = 0. MEDIAN: In this example, the number in the middle is 1. MODE: In this example, the number that reoccurs the most is 5. For each problem below, find the mean, median, and mode. Basketball Points Touchdowns Mean: Median: Mode:. Mean: Median: Mode: Golf Scores Wrestling Wins Mean: Median: Mode: 4. Mean: Median: Mode: Boxing Wins Volleyball Wins Mean: Median: Mode: 6. Mean: Median: Mode: Copyright by Education.com

11 5th Grade Shooting Score! Practice Finding Mean Here are the shooting scores of the players on the Rockets and the players on the Jaguars. Find out the mean shooting scores of each team. Mean is the average of a data set. It can be found by finding the sum of the set, then dividing by the number of data points. Example: There is a data set of 1, 4,,, 6, and. The sum is = 18. The number of data points is 6. Therefore, the mean is 18/6 = The Rockets The Jaguars Student Name Shooting Score Student Name Shooting Score Julie 15 Patrick 17 Mikey 0 Ron 17 Sally 0 Brian 18 Stephanie 18 Joe 18 Adam 14 Rita 10 Peter 1 Ann 0 Shaun 15 Joseph 0 Martin 0 Erika 1 Christine 17 April 0 Kimmy 1 Bill 1 The team with the best score based on the mean is Copyright by Education.com More worksheets at

12 It s Freezing! Practice Finding Mode 5th Grade Mary recorded the temperature at the Southpole during periods of time in December, January, and February. Find the mode of each set of temperatures. Don t forget to show your work. The mode of a data set means the number that occurs most often. It can be found by ordering each data set from lowest to highest, then seeing which number occurs most frequently. Example: The data set is 8, 6, 1, 4, 1, 4, 1. Write the numbers in order = 1, 1,, 4, 4, 6, 8. Find the numbers that appear most often = 1 (twice) and 4 (twice). Therefore, the modes of this data set are 1 and 4. December Record for 10 days 0, -4, 1, -, -, -4, 0,, -5, -4 Mode = January Record for 15 days -, -5,, -, -5, -4,, 7, -5, -, -,, 1,, 0 Mode = February Record for 0 days 5, 7,, -1, 8, 4, -, 0, 5, -1, 7,, 5, 1, -10,, 1, 0, -, -4 Mode = Copyright by Education.com More worksheets at

13 What s the Range? 5th Grade Find the range of each data set. Don t forget to show your work. The range of a data set is the difference between the highest and lowest values in the set. Range can be found by ordering the data from least to greatest value, then subtracting the lowest value from the highest value in the set. Example: The data set is: 1, 11, 15, 1, 10, Write them in order = 10, 11, 1, 1, 14, 15. Find the highest value = 15.. Find the lowest value = Subtract 10 from 15 = The range of this data set is 5. Pretend you re shopping for a bicycle. What is the range of prices? $155 $148 $150 $18 $18 $179 The price range of bicycles = Tommy lifted many different kinds of weights. What is the range of weights he lifted? 0 lbs. lbs. 5 lbs. 7 lbs. 4 lbs. 8 lbs. 19 lbs. lbs. 4 lbs. lbs. The range of the weights Tommy lifted = Lloyd recorded the daily temperature in Cambridge, MA for one week. What is the range of temperatures? 50 F 56 F 4 F 41 F 54 F F F The range of temperature in Cambridge, MA = Copyright by Education.com More worksheets at

14 Squares, Cubes, and Roots Squares, cubes, square roots, and cube roots may seem like difficult math problems at first, but once you learn how to solve them, you will find that they are both easy and fun! - The square of a number is the number times itself. - The square root of a number is a number that can be multiplied by itself to give the original number. It is the inverse operation of squaring a number. - The cube of a number is the number multiplied by itself twice. - The cube root of a number is, a value that when cubed, gives the original number. It is the inverse operation of cubing a number. Examples Square: 5 = 5 x 5 = 5 Square Root: 5 = 5 (5x5=5) Cube: 5 = 5 x 5 x 5 = 15 Cube Root: 15 = 5 (5x5x5=15) Write the square or cube of each number. 1) 1 = 4) 5 = 7) 48 = ) 4 = 5) = 8) = ) 9 = 6) 6 = 9) 7 = Write the square root of each number. 1) 16 = 4) 81 = 7) 49 = ) 9 = 5) 1 = 8) 6 = ) 5 = 6) 4 = 9) 100 = Write the cube root of each number. 1) 64 = 4) 16 = 7) 4 = ) 1 = 5) 8 = 8) 0 = ) 15 = 6) 1,78 = 9) 79 = Copyright by Education.com

15 Math Algebra Multiplying with Exponents An exponent is the simplest way to show how many times a number is multiplied by itself. Example: 4 x 4 x 4 x 4 x 4 The number 4 is multiplied by itself 5 times. 4 5 exponent Exponent is the number of times the base number is multiplied We can write base Base is the number Multiplying numbers with exponents Example: We know that Therefore, x 4 = 4 x 4 x 4 x 4 x 4 4 = 4 x 4 x x 4 = 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 Or we can use this formula if the bases are the same number. A m x A n (m + n) = A where A represents a number Rewrite the expressions. See the example. ( + ) x = = x = 4 x = x = x = 9 8 x = Now, find the value of the expressions below. See the example. ( + ) = x x x x = (8 + 5) 1 = (1 + 4) = Copyright by Education.com More worksheets at

16 Math Algebra Power Play: Multiplying With Exponents An exponent is the simplest way to show how many times a number is multiplied by itself. Example: 4 x 4 x 4 x 4 x 4 The number 4 is multiplied by itself 5 times. We can write Example: We can write (4 ) (4 ) 4 5 exponent base When the exponent is raised to the power, we multiply the exponent and the power. Or we can use this formula if the bases are the same number. Exponent is the number of times the base number is multiplied Base is the number = (4 ) x (4 ) x (4 ) = (4 x 4) x (4 x 4) x (4 x 4) = 4 x 4 x 4 x 4 x 4 x 4 4 x 4 x 4 x 4 x 4 x 4 = m (A ) n = 4 6 (m x n) A where A represents a number Rewrite the expressions. See the example. 4 ( ) 4 ( ) = = ( ) x ( ) = ( x ) x ( x ) = = = ( ) x ( ) x ( ) x ( ) ( x ) x ( x ) x ( x ) x ( x ) Fill in the missing numbers. 8 = 8 1 (5 ) = 5 ( ) = 7 ( ) = 16 Copyright by Education.com More worksheets at

17 Math Algebra Dividing with Exponents An exponent is the simplest way to show how many times a number is multiplied by itself. Example: 4 x 4 x 4 x 4 x 4 The number 4 is multiplied by itself 5 times. 4 5 exponent Exponent is the number of times the base number is multiplied We can write base Base is the number Dividing numbers with exponents 4 5 Example: 4 We know that Therefore, 4 5 = 4 x 4 x 4 x 4 x 4 and 4 = 4 x 4 x = 4 x 4 x 4 x 4 x x 4 x 4 Now cancel out all the equal value in the numerator and the denominator. Or we can use this formula if the bases are the same number. 4 x 4 x 4 x 4 x 4 4 x 4 x 4 A m A (m - n) = A n = 4 x 4 = 4 where A represents a number Rewrite the expressions. See the example (4 - ) = 6 6 = = 7 = = = = Fill in the missing numbers. 6 8 = 6 (8 ) 6 6 (7 4) (6 4) = = Copyright by Education.com More worksheets at

18 Use the picture below to answer the following questions. 1. How many right angles are there?. How many obtuse angles are there?. How many acute angles are there? 4. How many equilateral triangles are there? 5. How many isosceles triangles are there? 6. How many scalene triangles are there? Name each polygon below on the lines provided Copyright by Education.com

19 Math Geometry Surface Area: A Rectangular Prism A rectangular prism has six faces. Each face is a rectangle. There are three pairs of identical faces. Find the surface area of each rectangular prism. See the example. 1. Find the area of each pair: 10 Area of a rectangle = length x width 4 5 Pair 1 Pair Pair x 5 = x 5 = 0 4 x 10 = 40 4 x 10 = 40 5 x 10 = 50 5 x 10 = 50. Add the area of each face altogether: Surface area = = 0 Therefore, the surface area of this cube is 0 sq. inches. Now, follow these steps to try on your own Copyright by Education.com More worksheets at

20 Math Geometry 5 5 Surface Area: A Cube A cube has six faces. Each face is an identical square. Find the surface area of each cube. See the example. A cube has 5-inch sides Find the area of one face: Area of a square = length x length = 5 x 5 = 5 The area of each face is 5 square inches.. Find the surface area: The cube has 6 faces and each face is 5 sq. inches. Surface area = area of each face x number of face = 5 x 6 = 150 Therefore, the surface area of this cube is 150 sq. inches. Now, follow these steps to try on your own Copyright by Education.com More worksheets at

21 Drawing On The Grid : Big City Draw an unbroken line between each point listed, when you see the red X lift up your pencil and start a new line. Once you have finished the drawing write down what you think it is and what city it s in. x, y x, y x, y x, y x, y x, y 16,0 15,1 15, 10,1 1,5, 16,7 1,1 14, 10,5,5, 15,4 1,7 14,1 1,5,4,5 17,4 6,4 5,5 16,7 17,1 17,,1 6,6 5, 19,1 18,,5 7,7 7,5 15,4 19,7 18,1 0,5 8,6 9, 15,9 8, 9,5 17,9 1,9 17,1 10, 0,5 17,4 1,9 17,7 1,1 0,7 19,9 15,1 0,9 15,7 0,1 1,7 Copyright Education.com created by:

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23 Drawing On The Grid : Night Draw an unbroken line between each point listed, when you see the red X lift up your pencil and start a new line. y, x y, x y, x y, x y, x y, x y, x y, x y, x 18,10 9,10 7,16 5,11 6,15 17,11 1,11 10,18 14,7 7,10 7,11,16 6,1 7,16 16,1 1,1 1,0 14,8 16,7 19,7,10,9 8,9 7,10 8,14 7,18 8,19,19,18 19,1 10,1 7,18 18,18 7,1 9,1 9,15 7,16 7,17 9,18 7,11,11,10,11 1,1,1,1,1,15,16 1,17,17,18,17 7,17 4,1,1,14,15 4,15 4,1 5,1 4,1 5,11 5,15 6,16 5,17 4,16 5,15 6,1 7,1 6,10 4,10,1 6,18,18,16 1,11 0,1 1,1 0,14 1,15 0,16 1,17 17,1 16,14 17,15 16,16 17,17 11,11 10,1 11,1 1,15 1,16 1,17 11,15 10,16 1,1 18,8 16,10 1,18 15,0 15,8 1,10 1,8 10,10 16,18 18,0 4,1, 4,6 4,7,11,1,16,17,1 5, 7,4 9,6 11,7 1,8 15,0 1,0 1,9 9,9 9,0 8,0 8,9 9,9 7,7 5,6 1, 1,1 7,1 11,17 1,8 1,7 Copyright Education.com created by:

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25 Drawing On The Grid : In The Sun Draw an unbroken line between each point listed, when you see the red X lift up your pencil and start a new line x, y x, y x, y x, y x, y x, y 16,1 16,1 18,6 15,11 15,4 16,7 14,1 15,11 18,4 15,1 1,6 18,9 1,14 14,1 0,4 16,1 9,6 1,9 10,16 1,1 0, 16,1 9,8,11 9,18 1,14, 1,8 18,11 9,0 10,14 1,0 1,7 18,10 10, 10,16,18 15,4 16,7 1,4 8,16 1,18 14,5 9,18,16 16,5 7,19 0,10 18,4 9,0 0,14 0, 8, 18,14 1,0 10, 18,1 1,18 10,4 16,1 0,10 1,4 18,14 1,6 16,1 14,5 15,7 16,5 Copyright Education.com created by:

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27 science : know your galaxies Name Date COMPARING DECIMALS Which is greater 4.7 or 4.7? Along the number line, numbers on the right side are greater than numbers to the left. > is greater than 4.7 Place the decimals in the right place along the number line. In the box, write >, <, or = to determine which decimal is greater. Which is greater: 7.01 or.9? Which is greater: 4.76 or 5.5? Which is greater: 4.0 or 4.?

28 4th Grade Beaker Puzzle: Practice Ordering Decimals Order the decimal numbers on the beakers from largest to smallest, then use the letters to answer the question below. P M I X ER E X T 1.01 EN What do scientists do? Copyright by Education.com More worksheets at

29 Cross Multiplication Solve for x. Copyright by Education.com More worksheets at

30 Answer Sheets 5th Grade Math Practice Solve a Division Riddle Dividing Decimals Division Coloring Page Solve for X Order of Operations Practice #1 Order of Operations Practice # Finding the Average: Mean, Median, and Mode Geometry Review: Angles and Polygons Ordering Decimals Practice

31 Solve each problem below by dividing. Use the letter key to solve the riddle. Letter Key 1 = R 1 = O 1 = I 16 = G 85 = D 17 = Y Where did Louie the dog purchase his shiny new collar? At a store called D O G G Y D I O R Copyright by Education.com

32 Delicious Decimals Solve the problems by adding each set of decimals. Don t forget to make the divisor a whole number Copyright by Education.com More worksheets at

33 Cupcake Math ANSWER SHEET Note: More worksheets at Instructions: Complete each math problem and color the page! by Education.com

34 Owl Math ANSWER SHEET x 4 Note: More worksheets at Instructions: Complete each math problem and color the page! by Education.com

35 Circus Math 7 ANSWER SHEET Note: More worksheets at Instructions: Complete each math problem and color the page! by Education.com

36 Duck Math ANSWER SHEET Note: More worksheets at Instructions: Complete each math problem and color the page! by Education.com

37 Finding the Average: Mean, Median, and Mode In statistics, there are three kinds of averages: mean, median, and mode. -MEAN: The mean of a group of numbers is the average of the numbers. -MEDIAN: The median of a group of numbers is the number that is exactly in the middle when the numbers are arranged numerically. Note: For even sets of numbers, take the average of the middle two numbers. -MODE: The mode of a group of numbers is the number that appears most often. Example Soccer Goals Before you do any computing, you should always write the numbers in numerical order, from smallest to largest: MEAN: Add all the numbers together ( =10) then divide (10) by the number of numbers added together (9), so 10 9 = 0. MEDIAN: In this example, the number in the middle is 1. MODE: In this example, the number that reoccurs the most is 5. For. each problem below, find the mean, median, and mode For the mean, round your answer to the nearest hundredth. Basketball Points Touchdowns Mean: 1.9 Median: 15 Mode: 16. Mean: 17 Median: 11.5 Mode: 9 Golf Scores Mean: 85 Median: 60 Mode: 68 Wrestling Wins Mean: 15 Median: 1 Mode: 7 and 1 Boxing Wins Volleyball Wins Mean: 6 Median: Mode: Mean: 19 Median: 11 Mode: 11 Copyright by Education.com

38 Use the picture below to answer the following questions. 1. How many right angles are there?. How many obtuse angles are there?. How many acute angles are there? 4. How many equilateral triangles are there? 5. How many isosceles triangles are there? 6. How many scalene triangles are there? Name each polygon below on the lines provided. octogon pentagon hexagon quadrilateral 5. parallelogram 6. rectangle nonagon heptagon Copyright by Education.com

39 4th Grade ANSWER SHEET Beaker Puzzle: Practice Ordering Decimals Order the decimal numbers on the beakers from largest to smallest, then use the letters to answer the question below. P M I X ER E X T 1.01 EN E X P ER I M EN T What do scientists do? EXPERIMENT Copyright by Education.com More worksheets at