Georgia Online Formative Assessment Resource (GOFAR) 4th grade Unit 7 Name:____________________________ Date: ____________________________ Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (1 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) 1. Alice starts and finishes her guitar lesson at the times shown. Part A How long is Alice’s guitar lesson? Show your work using a number line. Part B What fraction of the hour did Alice spend in the guitar lesson? Show your work or explain your answer. Part C Alice’s guitar teacher has to change the start time of the lesson to 3:30 p.m. If the length of the lesson remains the same, at which time will the guitar lesson now finish? Show your work or explain your answer. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 2. A box of pancake mix contains 40 ounces of mix. The amount of mix needed to make four 8-inchdiameter pancakes is 2 cups. Part A How many ounces of mix are equal to 2 cups? Show your work. Part B How many 8-inch pancakes can be made using 40 ounces of pancake mix? Show your work or explain your answer. Part C More pancakes that have a 6-inch diameter can be made with 2 cups of pancake mix. What number of cups and what number of pancakes would complete the table below? Explain your answer. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (2 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) Part D Which would use more cups of pancake mix? ● 14 pancakes with a 8-inch diameter ● 21 pancakes with a 6-inch diameter Show your work or explain your answer. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 3. Andrew has 10 quarters, 4 dimes, and 6 nickels in a jar. Part A If there are no other coins or bills in the jar, what is the amount of money in Andrew’s jar? Show your work. Part B How many $1 bills can Andrew exchange for the coins he has in the jar? Explain your answer. Part C How much additional money does he need for a $5 bill? Explain your answer. Part D What is the least number of coins equal to the amount you got in Part C, using any combination of quarters, dimes, or nickels? Show your work. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (3 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) 4. A rectangular space on a wall at school is used to post school announcements. The space is 3 feet in length and has a perimeter of 12 feet. Part A What is the width, in feet, of the rectangular space? Show your work. Part B What is the area, in square feet, of the rectangular space? Show your work. Part C The rectangular area needs to be enlarged. The new rectangular area will be two times the area you found in Part B. If the width remains the same, what is the length of the larger rectangular area? Show your work. Part D Look at the following statement. If the area of a rectangle is doubled, then the perimeter of the larger rectangle will be two times the original perimeter. Is this statement always true? Explain your answer by giving an example. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 5. A group of friends bought some pizzas. Each pizza was cut into 8 equal slices. The table shows the number of slices of pizza taken by all the friends. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (4 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) Part A Everyone in the group took at least one slice of pizza. Based on the data in the table, how many people were in the group? Explain your answer. Part B Create a line plot using the number line shown below and the data in the table. Part C If no pizza slices were leftover, how many pizzas did the group buy? Show your work or explain your answer. Part D The cost of each pizza was $13. What was the cost of the pizzas before tax was added? Show your work. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 6. Maurice drinks four 8-ounce glasses of milk every day. How many pints of milk does he drink each day? A)2 pints B)4 pints C)16 pints Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (5 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) D)32 pints 7. Ms. Fuller bought a roll of gold ribbon to make bows for gift packages. There were 6 feet of ribbon on the roll. How many inches of ribbon were on the roll? This online assessment item contains material that has been released to the public by the Massachusetts Department of Education. A)18 B)36 C)60 D)72 8. In the metric system of measurement 1,000 grams is equal to A)1 kilogram. B)10 kilograms. C)1 milligram. D)100 milligrams. 9. Which set of units would BEST be used to measure the weight of a large dog? A)pounds or tons Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (6 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) B)grams or milligrams C)pounds or kilograms D)ounces or milligrams 10. Julianne's cereal contains 8 grams of fiber. How many milligrams of fiber are in Julianne's cereal? A)0.8 milligrams B)0.008 milligrams C)800 milligrams D)8,000 milligrams 11. Which is MOST LIKELY the weight of a dog? A)15 kilograms B)15 grams C)150 kilograms D)150 grams 12. The table below shows the total cost for different numbers of tickets to a special show at a water park. Each ticket costs the same amount. What is the total cost for 12 tickets to the show? A)$48 B)$44 C)$36 D)$24 13. The picture below shows one of the squares Yvette sewed for a quilt. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (7 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) How many lines of symmetry does the quilt square have? A)0 B)2 C)4 D)8 14. Which figure below has a single line of symmetry? A) B) C) D) 15. Which picture shows a line of symmetry? Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (8 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) A) B) C) 16. Which of these represents all the lines of symmetry of the given figure? A) B) C) Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (9 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) D) 17. How many lines of symmetry does a regular hexagon have? A)4 B)5 C)6 D)7 18. Which figure shows a line of symmetry? A) B) C) D) 19. Lindsay needs to draw a multi-sided figure. Each side needs to be a different length. The figure needs to have at least three different interior angle measures. One angle must be at least 70° more than all other angles. Which of these shapes could Lindsay draw? A)rhombus B)trapezoid C)acute triangle D)right triangle 20. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (10 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) Jack ran on a circular track. On his last lap around the track, he stopped half way and walked through the center of the track. He ended on the exact same place he started from. Which describes the distance Jack ran on the last lap? A)half a circle and a radius B)the diameter and a radius C)half a circle and the diameter D)the radius and the center point 21. What is the line segment EC called? A)diameter B)radius C)center D)ray 22. Jane walked in a straight line for 10 feet. She turned clockwise 90 degrees and walked another 10 feet. If Jane continues to walk in this pattern, which shape will her path form? A)square B)rectangle Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (11 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) C)triangle D)trapezoid 23. Which of these figures contains the largest angle? A)rhombus B)rectangle C)right triangle D)equilateral triangle 24. Which statement describes the rotation of this figure? A)The heart rotated 50°. B)The heart rotated 90°. C)The heart rotated 180°. D)The heart rotated 360°. 25. Ben is going to add all the angles in a shape. Which of these shapes will have the greatest total? A)triangle B)square C)trapezoid D)pentagon 26. William is going to add all the angles in a shape. Which of these shapes will have the smallest sum? A)triangle B)square C)rectangle Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (12 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) D)rhombus 27. Trina painted a rectangular piece of wood. The length of the piece of wood is 12 inches. If the area of the piece of wood is 96 square inches, what is the width? A)8 inches B)9 inches C)36 inches D)48 inches 28. The distance around a park on a bicycle path is 3 kilometers. CeCe rides her bicycle around this path 7 times. What is the total distance she rides her bicycle, in meters? A)1,000 B)2,100 C)10,000 D)21,000 29. The line plot below shows the lengths, in inches, of several flower petals. What is the difference, in inches, between the lengths of the second longest petal and the shortest petal? A) B) C) D) Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (13 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) 30. Tamika calculated the number of hours she watched television, based on the number of minutes she had watched. Which table shows the correct relationship of minutes and hours? A) B) C) D) 31. A company is planting new grass on a lawn. The lawn is in the shape of a rectangle with the dimensions shown. Part A The company needs to know how many square feet of grass it needs to plant to cover the lawn. What is the area of the lawn? Show your work or explain your answer. Part B The owner also wants to know the perimeter of the lawn to install a fence. What is the perimeter of the lawn? Show your work or explain your answer. Part C Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (14 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) The owner wants to place bricks against the longest side of the lawn as a walkway. The bricks are 2 feet long and will be placed end-to-end. How many bricks can the owner fit against the longest side of the lawn? Show your work or explain your answer. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 32. A fourth grade class is learning about angles. Henry points out that when he opens his book, the inside edge makes an angle, as shown in the picture below. Part A What fraction of the circle does the angle created by the open book cover equal? Explain your answer. Part B What is the measure in degrees of the angle of the open book? Explain your answer. Part C Henry’s friend said if he closes the book, the angle will be 180 degrees. Is Henry’s friend correct? Why or why not? Explain your answer. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (15 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) 33. The figure shown is a parallelogram with line segments drawn between each pair of parallel sides. The angles formed where the line segments intersect are numbered 1 to 4. Use the figure to answer the questions. Part A What is the sum of the measures of angles 1 and 2? Explain your answer. Part B The sum of the measures of angles 2, 3, and 4 is 305 degrees. What is the measure of angle 1 in degrees? Explain your answer. Part C Using your answers from Part A and Part B, write an equation to determine the measure of angle 2 in degrees. Use a to represent the measure of angle 2. Part D Solve the equation to find the measure of angle 2 in degrees. Be sure to complete ALL parts of the task. Write your answer and show your work on the paper provided. Do NOT type your answer in the text box below. 34. Which answer is the best estimate of the mass of a family car? A)25 kilograms B)250 kilograms C)2,500 kilograms Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (16 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) D)25,000 kilograms 35. Which of the following units of measure would best describe the mass of a large dog? A)liters B)grams C)kilograms D)centigrams Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (17 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) Answer Key : 1. 2. 3. 4. 5. 6. A)2 pints 7. D)72 8. A)1 kilogram. 9. C)pounds or kilograms 10. D)8,000 milligrams 11. A)15 kilograms 12. A)$48 13. C)4 14. C) 15. B) 16. A) 17. C)6 18. A) 19. B)trapezoid 20. C)half a circle and the diameter 21. B)radius 22. A)square Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (18 of 19 ) Georgia Online Formative Assessment Resource (GOFAR) 23. A)rhombus 24. C)The heart rotated 180°. 25. D)pentagon 26. A)triangle 27. A)8 inches 28. D)21,000 29. D) 30. A) 31. 32. 33. 34. C)2,500 kilograms 35. C)kilograms Copyright © 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (19 of 19 )
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