4th grade final math summative

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Grade 4 Summative Assessment Name: _______________________ Date: _______ Read, write and compare whole numbers less than 1,000,000, 1. Which number is in the ten thousands place? 23,498 __________________ 2. How many tens are in 300? A. 10 B. 20 C. 30 D. 300 3. Write 345,892 in expanded form __________________________________ 4. Mr. Rand drove eighteen thousand four hundred fifty three miles last year. What is that number in standard form? A. 184,053 B. 108,453 C. 18,453 D. 18,543 5. Which number is smallest? A. 22.409 B. 22,904 C. 22,429 Recognize and generate equivalent forms of commonly used fractions and decimals 6. Write ½ as a decimal. Answer: ___________________ 7. Write 0.25 as a fraction. Answer: ___________________

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Page 1: 4th Grade Final Math Summative

Grade 4 Summative Assessment Name: _______________________ Date: _______ Read, write and compare whole numbers less than 1,000,000,

1. Which number is in the ten thousands place? 23,498 __________________

2. How many tens are in 300? A. 10 B. 20 C. 30 D. 300

3. Write 345,892 in expanded form __________________________________

4. Mr. Rand drove eighteen thousand four hundred fifty three miles last year. What is that number in standard form?

A. 184,053 B. 108,453 C. 18,453 D. 18,543

5. Which number is smallest?

A. 22.409 B. 22,904 C. 22,429

Recognize and generate equivalent forms of commonly used fractions and decimals

6. Write ½ as a decimal. Answer: ___________________ 7. Write 0.25 as a fraction. Answer: ___________________

Page 2: 4th Grade Final Math Summative

Recognize equivalent representations for the same number and generate them by decomposing and composing numbers

8. Which sign makes the sentence true?

2 1 4 2

Recognize equivalent representations for the same number and generate them by decomposing and composing numbers 9. Which equation has the same answer as 3 x 12?

A. 4 x 4 B. 4 x 12 C. 4 x 9 D. 2 x 6

10. Circle the picture that shows 4 x 3

Describe numbers according to their characteristics, including whole number factors

11. List the factors of 16 _____________________________________________ 12. List the factors of 24 _____________________________________________ Describe numbers according to their characteristics, including multiples

13. List the first 10 multiples of 7 __________________________________________________ 14. List the first 10 multiples of 5 __________________________________________________

Describe numbers according to their characteristics including prime or composite

15. Which of these numbers is prime? 6, 15, 17, 21

Page 3: 4th Grade Final Math Summative

16. Which of these numbers is composite? 3, 7, 12, 17 Describe numbers according to their characteristics including square numbers Which of the following is a square number?

A. 12 B. 64 C. 28 D. 32

17. Is 25 a square number? __________ Explain why or why not: _______________________ ________________________________________________________________________ Represent and recognize multiplication and related division using equal size groups.

EXAMPLE: What is a related division problem to 12 x 9 = 108? ANSWER: 108 ÷ 12 = 9 18. What division problem is related to 5x5 = 25? ______________________ 19. Give a multiplication problem that is related to 63÷ 9: ______________________

Describe the effects of addition and subtraction on fractions and decimals

20. Jane biked 7.7 kilometers on Thursday and 1.3 kilometers on Friday. How far did Jane bike in all on Thursday and Friday? __________ 9.81 98.42 25.98 - 9.11 -15.1 + 3.89 1 + 2 = ___ 1 + 8 = ___ 3 + 3 = ___ 4 4 12 12 8 8

Page 4: 4th Grade Final Math Summative

Describe a mental strategy used to compute a given division problem, where the quotient is a multiple of 10 and the divisor is a 1-digit number (e.g., 350 /7) 27. Using mental math (in your head) multiply 3 x 700 28. Explain how you did it: _____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ Demonstrate fluency with basic number relationships (12 X 12) of multiplication and related division facts

29 – 32 Multiply: 3 x 4 _____ 6x8 ________ 9x8 ________ 4x7 ________ 33 – 36 Divide: 72 ÷ 9 _____ 144 ÷ 12 ______ 42 ÷ 7 ________ 81 ÷ 9 _____

Estimate and justify products of whole numbers 37. Which is the closest estimate for 352 ÷ 4?

A. 9 B. 60 C. 90 D. 900

38. Which is the closest estimate for 88 x 22

E. 18 F. 100 G. 180 H. 1,800

Make and describe geometric and numeric patterns

39. What are the 3 next numbers in the pattern below? 1, 4, 9, 16, 25, __, __, __ A) 16, 9, 3 B) 36, 49, 64 C) 54, 63, 72 D) 30, 35, 40

Page 5: 4th Grade Final Math Summative

40. Fill in the geometric shapes that complete the pattern. Represent and analyze patterns using words, tables and graphs

IN   OUT  1   3  2   6  ?   9  4   12  5   15  6   ?  

IN   OUT  18   9  ?   8  14   7  ?   6  10   5  8   4   Analyze and classify 2- and 3-dimensional shapes by describing the attributes 43. What is the name of the 3D figure at the right?

A. pyramid B. triangular prism C. triangle D. None of the above

44, What is the name of the plane figure at the right?

E. Hexagon F. Pentagon G. Heptagon H. Decagon

42. Find the rule and complete the table. Rule ______________

41. Find the rule and complete the table. Rule ______________

Page 6: 4th Grade Final Math Summative

45. How many faces are there in a hexagonal prism?

46. How many edges are there in cube?

Predict and justify the results of subdividing, combining and transforming shapes 47. Draw and name shape that can be made using a triangle and a rectangle. 48. Name of shape: _____________________ Split the hexagon below into to shapes and name the shapes.

49. Name of shape 1: ______________________ 50. Name of shape 2: ______________________

A. 6 B. 4 C. 8 D. 10

A. 12 B. 4 C. 8 D. 10

Page 7: 4th Grade Final Math Summative

Predict, draw and describe the results of sliding/ translating, flipping/ reflecting and turning/ rotating around a center point of a polygon 51. How has the shape below shows what kind of transformation (change) ?

A. Flip (reflection) B. Slide (Translation) C. Turn (Rotation)

52. Draw how the figure below would look after a flip (reflection) across the dotted line. identify polygons and designs with rotational symmetry 53. Does the shape below have rotational symmetry? ______________

54. Why or why not? _________________________________ _______________________________________________ _______________________________________________

Page 8: 4th Grade Final Math Summative

given a net of a prism or cylinder, identify the 3-dimensional shape 55. What 3D shape does the net here show?

a. Cube b. Cone c. Cylinder d. Sphere

identify and justify the unit of measure (customary and metric)

56. What unit of measure would you use to measure the distance from New York to Boston? A. yards B. feet C. meters D. miles

57. What unit of measure would you use to measure the length of your finger?

E. feet F. yards G. inches H. meters

Identify the equivalent weights and equivalent capacities within a system of measurement 58. If 1 gallon equals 16 cups, how many cups are in 3 gallons? 3 gallons = _____ cups 59. If 1 quart equals 2 pints, 8 pints equals how many quarts? 8 pints = ______ quarts Convert from one unit to another within a system of linear measurement (customary and metric)

60. The length of the door is 300 centimeters. How many meters long is the door? _____________

Page 9: 4th Grade Final Math Summative

61. Edward built a house out of cards. The house was 1 yard high. How many feet high was the house? _______________ Evaluate data-collection methods 62. What would be the best way to find out which flavor of ice cream fourth graders prefer?

A. Stand at the grocery store to see if any fourth graders come in to buy ice cream B. Send out a survey to ask students there favorite ice cream C. Go to students’ houses and look in the freezer

63. What would be the best way to find out which time of day Agnes Avenue is busiest?

D. Look it up in the encyclopedia E. Stand on the road at certain times and count the cars F. Ask the principal

Describe methods to collect, organize and represent categorical and numerical data

Ms. Santos wanted to throw her son a surprise birthday party. She decided that she wanted many different kinds of candy at the party, so she asked her son’s friends to vote on their favorite kinds. Amelia and Sandy wanted Skittles; Ron, Jake, Anson and Elving wanted Twizlers; Brittney, Ella, Josue, John and Bless wanted Starbursts; no one wanted Snickers; and Shantell, Ernesto wanted M&Ms. 64) Record this data into a table.

Type of Candy Number of Votes

Page 10: 4th Grade Final Math Summative

65) Create a bar graph to represent this data. Please label the x axis and y axis. Give the graph a title and number each side.

Compare related data sets

The line graph below shows a student’s grades on six different math tests. Use the line graph to answer the questions.

66) On which test did Frank score the highest? __________________________ 67) Did Frank’s scores between Test 3 and Test 4 increase or decrease? _________________ 68) By about how much did the score increase or decrease? _______________

Page 11: 4th Grade Final Math Summative

find the range and measures of center, including median, mode and mean

What is the mean, median, mode and range of the following set of data? 3, 1, 6, 2, 3

69.) Mean: ________________________ 70.) Median: _______________________ 71.) Mode: ________________________ 72.) Range: ________________________

Given a set of data make and justify predictions

73.) Use the graph at the right to answer the following question: Will the temperature in August will be:

A. Less than 95 degrees B. More than 95 degrees C. Exactly 95 degrees D. None of the above

Describe the degree of likelihood of events using such words as certain, equally likely and impossible

74. Based on the marble selection below, describe the likelihood of pulling a black marble. Use one of the following words: certain, likely, equally likely, unlikely or impossible.

____________________________________________________________________________

_____________________________________________________________________________

Page 12: 4th Grade Final Math Summative

Model problem situations and draw conclusions, using representations such as graphs, tables or number sentence

76. Jacklynn can make 2 good drawings in an hour. Fill in the chart and make a graph that shows the total number of drawings she could make (y), after a number of hours (x). (Don’t forget a title and labels!) Hours (x) Total

Drawings (y)

77. Shelly bought 7 rolls of film for her camera. She can take 24 pictures with each roll of film. Write an equation could be used to figure out how many pictures (p) Shelly could take using all 7 rolls of film? __________________________________

75. On which color is the spinner more likely to land? A. Red B. Blue C. Yellow D. Green E. None; all are equally likely

Page 13: 4th Grade Final Math Summative

Use coordinate systems to specify locations, describe paths and find the distance between points along horizontal and vertical lines

Find the following points on the graph and label them A and B 78.) A = ( 3, 5) 79.) B = (0, 6)