Ohio Grade 4 Achievement Test – Math 2009 Data Analysis and Probability : Benchmark A 4;4 Benchmark B 45; Benchmark D 13; Benchmark F Geometry and Spatial Sense: Benchmark B 42;42 Benchmark F 44; Benchmark G 9; Benchmark J Measurement: Benchmark C 30; Benchmark D Number Sense: Benchmark A 18; Benchmark B 40; Benchmark C 1; Benchmark D 46; Benchmark I 34; Benchmark J 11; Benchmark K 5; Benchmark L Patterns, Functions and Algebra: Benchmark B 29; Benchmark G 8298 Not slated for Public Release as of 7/1/09: Questions: 2-3, 6-7, 12, 14, 16-17, 19-28, 31-33, 35-36, 39, 41, 43 To print a PDF of the OAT Test, go to

1. Which is another way to represent “five and three-eighths”? A. 53 / 8 B. 5 3 / 8 C. 5 8 / 3 D. 8 5 / 3 Index

4. The school principal plans to buy new equipment for the school’s playground. He wants to know what equipment will be most popular for the students, but he does not have time to survey all the students in the school. Which group should the principal survey to get the best results? A. a group of 50 parents B. all the first-graders C. five students from each class D. 30 boys in the cafeteria Index

5. A fourth-grade class has three hamsters and five ducklings. Each hamster has four legs. Each duckling has two legs. How many legs do the eight animals have in all? Use pictures, numbers or words to show your work. Scoring Guidelines Index Write the answer on separate paper.

8. The table shows the cost of pizza slices. How does the cost change as the number of pizza slices increases? A. The total cost decreases by $1.25. B. The total cost increases by $1.25. C. The cost per slice stays the same. D. The cost per slice doubles. Index

9. The coordinate grid shows the location of animals at the zoo. Which animal is located at (4, 1)? A. elephant B. giraffe C. monkey D. zebra Index

10. Phil has a bag with 1 red tile, 12 yellow tiles, 1 blue tile, and 6 green tiles. He draws one tile from the bag without looking. List the colors in the order of the likelihood of Phil's drawing each of the colored tiles. Use words, numbers or a diagram to explain your answer. Scoring Guidelines Index Write the answer on separate paper.

11. There are 532 boys and 713 girls at Avondale Elementary School. About how many students attend Avondale Elementary School? A. 1,000 B. 1,200 C. 1,400 D. 1,600 Index

13. The picture graph shows the amount of money four different classes earned selling cookies. What is the difference between the amount of money class 4 earned and the amount of money class 2 earned? A. $10 B. $15 C. $25 D. $35 Index

15. Karen is putting ribbon around the outside edge of a rectangular note card as shown. How much ribbon does Karen need to go around the card? Show or explain how you found the amount of ribbon she needs. Karen wants to make another rectangular-shaped card. She has 18 inches of ribbon left over to put around the outside edge of this card. What are the length and width of a card that Karen could make to use all the ribbon? Show or explain how you found the size of a card she could make. Scoring Guidelines Index Write the answer on separate paper.

18. Four brothers had the following baseball batting averages last season Which list shows these decimals in order from least to greatest? A ; 0.541; 0.054; B ; 0.450; 0.054; C ; 0.405; 0.450; D ; 0.450; 0.405; Index

29. Rachel begins with an empty piggy bank. Every day she puts in $2.50 and does not take out any money. Which table shows the amount of money Rachel has in her piggy bank at the end of each day? Index

30. Erica said that one measurement of the shaded figure shown is 14 squares. Which measurement of the shaded figure is 14 squares? A. area B. height C. perimeter D. volume Index

34. There are 36 inches in a yard. How many inches long is a 17-yard rope? A. 288 inches B. 512 inches C. 572 inches D. 612 inches Index

37. The 4th-grade class is selling T-shirts. The table shows the number of each type of T-shirt the class sold. Short-sleeve shirts were sold for $8 each and long-sleeve shirts were sold for $12 each. How much money did the class collect? A. $62 B. $216 C. $396 D. $444 Index

38. William saw the two shapes drawn on a coordinate grid. Which transformation could William use to determine whether the two shapes are congruent? A. a translation (slide) B. a reflection (flip) C. a rotation (turn) about a corner point D. The shapes are not congruent. Index

40. Which is another way to write “two and three-hundredths”? A B C D Index

42. Luke used his pencil to poke a small hole through a sheet of unlined paper. Which geometry terms can be used to describe the hole in the paper? A. a point on a line B. a line on a point C. a line on a plane D. a point on a plane Index

44. Dakota was asked to draw a right equilateral triangle. Use words or pictures to explain whether Dakota can draw a right equilateral triangle. Scoring Guidelines Index Write the answer on separate paper.

45. Hannah constructed this bar graph to show how many of her classmates take art, dance, piano, or swim lessons. How many more of her classmates take art than piano? A. 4 B. 6 C. 8 D. 14 Index

46. Gwen planted corn in of her garden and Shelly planted corn in of her garden as shown. Which statement is true? A. 2/3 < 3/4 B. 2/3 > 3/4 C. 1/4 = 1/3 D. 1/4 > 1/3 Index

Question 5 Question 5 – Short Answer Scoring Guidelines Index PointsStudent Response 2Sample Correct Responses: ( ) + ( ) = 22 (4 × 3) + (2 × 5) = = 22. Draws a picture showing three figures with 4 legs and five figures with two legs and writes that the total number of legs is legs. I multiplied the number of hamsters by 4 and then the number of ducklings by two and added them together. The focus of this task is to provide evidence of solving a multi-step problem involving computations with whole numbers. The response correctly identifies the total number of legs and provides adequate support to show how the answer was found. 1The response provides partial evidence of solving a multi-step problem; however, the solution may be incomplete or slightly flawed. Sample response State that the answer is 22 legs, but not show any work. Show a correct procedure for finding the answer, but not correctly determine the number of legs. E.g., 4 × 3 = × 2 = 10. Indicate an incorrect answer based on a calculation error; however, shows an appropriate procedure. E.g., 4 × 3 = 7, 5 × 2 = 10, = 17. 0The response provides inadequate evidence of how to solve multi-step problems involving computations with whole numbers. The response will provide major flaws or irrelevant information. Sample response: State that = 14. Be blank or state unrelated statements. Recopy information from the stem.

Question 10 Question 10 – Short Answer Scoring Guidelines PointsStudent Response 2Sample correct responses: Yellow, Green, Red, Blue Yellow, Green, Red and Blue. Red and blue are unlikely because there is only one of each; then green because there are 6 green tiles; and then yellow is most likely because there are the most yellow tiles. Yellow, Green, Red, Blue. The highest likelihood is picking yellow, 12/20, then green, 6/20, and then both red and blue, 1/20. The focus of the task is to provide evidence of representing the likelihood of possible outcomes for chance situations. The response provides a list of colors in order of likelihood AND an explanation, numbers or diagram comparing the likelihood of drawing a tile using adequate mathematical language. 1The response provides partial evidence of representing the likelihood of possible outcomes for chance situations; however the solution may be incomplete or slightly flawed. Sample response: State that the order of likelihood is yellow, green, then red and blue, but not provide an adequate explanation. Place the likelihood of drawing each color in an incorrect order, but have an explanation or diagram that supports the stated order. 0The response provides inadequate evidence of representing the likelihood of possible outcomes for chance situations. The response provides major flaws in reasoning or irrelevant information. Sample response: Place the colors in a random order with no or a highly flawed explanation. Be blank or state unrelated statements. Recopy information from the stem. Index

Question 15 Question 15 – Extended Response Scoring Guidelines Index PointsStudent Response 4Sample Correct Responses: She needs 24 inches of ribbon = inches by 4 inches. I picked one side to be 5 inches so there was 8 inches of ribbon left, so then the other side would be 4 inches. Twenty four inches of ribbon is needed. 5 × 2 = 10, 7 × 2 = 14, = 24. length = 8, width = = 18 inches. The focus of this task is using a strategy to find perimeter of a rectangle. The response provides the correct perimeter with an appropriate explanation or calculations and correct dimensions for another card with supporting work or an adequate explanation. NOTE: There are an infinite number of cards that Karen could make, and correct measurements include 1 inch x 8 inches, 2 inches x 7 inches, 3 inches x 6 inches, and 4 inches x 5 inches. 3The response provides evidence of using a strategy to find perimeter of a rectangle; however, the response may contain a slight flaw or a vague explanation. Sample response: Provide the correct perimeter with appropriate work and state the dimensions of another card she could make but fail to show work or provide an explanation for another card. Provide the correct perimeter with appropriate work and show an appropriate strategy for finding the dimensions of another card, but fail to correctly state both the length and the width of another card. continued

Question 15 Question 15 – continued Index PointsStudent Response 2The response shows partial evidence of using a strategy to find perimeter of a rectangle; however, the response is incomplete and/or contains minor flaws. Sample response: Only provide the perimeter of the card with work or an adequate explanation. Find the perimeter of the card and find the dimensions of another card, but fail to provide work or an explanation for either part. 1The response provides minimal evidence of using a strategy to find perimeter of a rectangle. The response has major flaws and errors in reasoning. Sample response: State the perimeter of the original card only. Only provide a correct strategy for finding the perimeter. 0The response provides inadequate evidence of using a strategy to find perimeter of a rectangle. The response provides major flaws in explanations or irrelevant information. Sample response: State that she needs 12 inches of ribbon. Restate the information provided in the item. Be blank or give irrelevant information.

Question 44 Question 44 – Short Answer Scoring Guidelines Index PointsStudent Response 2Sample correct responses: A right triangle looks like this. An equilateral triangle looks like this. It doesn’t have a right angle. It’s not possible to draw a right equilateral triangle. The side opposite a right angle is longer than the other two sides. An equilateral triangle has all sides equal. The focus of this task is using attributes to determine if a right equilateral triangle can be drawn. The response uses words or a drawing to show why a right triangle cannot be equilateral. 1The response shows partial evidence of using attributes to determine if a right equilateral triangle can be drawn; however, the response may be incomplete or slightly flawed. 1 point sample answer For example, the response may: Provide an adequate explanation of an equilateral and/or right triangle without determining whether a right equilateral triangle can be drawn. 0The response provides inadequate evidence of using attributes to determine if a right equilateral triangle can be drawn. The response provides a solution with major flaws or errors in reasoning. 0 point sample answer For example, the response may: State that it is possible, but give no explanation. Restate the information provided in the item. Be blank or give irrelevant information.