1 Use the graph to answer the question. 4 High Temperature ( F) 120 1 0 90 80 70 60 50 40 30 20 0 Temperature Over a Week Sunday Monday Tuesday Wednesday Thursday Friday Saturday Anthony had 9 oranges. He juiced 6 1 4 oranges. How many oranges are left? A 2 1 4 B 2 1 3 C 2 3 4 Days What was the highest temperature recorded during the week? 5 What is the total weight of the fruits? F Fruits Weight Apples 1650 grams 2 Grapes 75 grams Apricots 150 grams 20 + 7 + 400 = grams 3 in. What is the length of the key? in. AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 1, Page 1
6 Abel builds a structure with wooden sticks. Which number sentence gives the height of the structure? 9 Find the missing number to make this statement true. 7 (6 + 9) = 7 6 + 7 7 cm Which option below shows 2 parallel lines? 2 cm 2 cm A A 2 + 2 + 7 B 2 + 2 + 2 C 2 + 7 + 7 B 7 Complete the sequence. C 65, 56, 47, 8 This chart shows the area of different countries of the world. 11 Use the table to answer the question. Country Area (Square Kilometers) Activity Time Taken by Daniel Indonesia 1,904,569 Sprinting 20 minutes Libya 1,759,540 Cycling minutes Iran 1,648,195 Swimming 40 minutes Mongolia 1,564,0 Running minutes Which country has the largest area? What is the total time taken by Daniel for his cross-country marathon practice? hour minutes AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 1, Page 2
12 What is the temperature as shown on the thermometer? 22 20 18 16 14 12 8 6 4 2 0 F 14 Use the table below to answer the question. Package Acrylic paint Glue sticks Fabric glue Cost per Package $5.25 $2.00 $7.60 Taylor is buying items for a craft project. How much more money will Taylor spend if she buys a package of fabric glue instead of a package of glue sticks? $ F 13 Mr. Garcia can shovel snow from a 0-feet-long driveway in 8 hours. How long will it take him to shovel snow from a 600-feet-long driveway? A 4.5 hours 15 The picture shows a part of a wall. What fraction of this part of the wall is marked? B 12 hours C 48 hours AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 1, Page 3
16 The diagram shows the pattern of tiles Peter is using on his kitchen walls. 18 A ZIP code for Dahlgren, Virginia is 22448. Which digit is in the hundreds place? 19 Use the graph to answer the question. Y 12 Bumper boat 8 Chairlift Which row of tiles is the bottom row missing from Peter s kitchen wall? 6 4 2 Roller coaster Tilt-a-whirl Train ride A B 0 2 4 6 8 12 Olivia is at an amusement park. She wants to ride a roller coaster. Write the coordinates of the roller coaster. C 20 Helicopter A weighs 27,280 kilograms (kg) and helicopter B weighs 30,230 kg. What is the best estimate of the difference in the weight of the two helicopters? 17 Find the missing number to make this statement true. 2 + 2 + 7 = 8 + A 3000 kg B 00 kg C 2000 kg AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 1, Page 4
21 Write the next two numbers of the sequence. 25 Write the number that balances this equation. 82, 84, 87,, (6 6) + 8 = 7 + 22 26 A factory manufactures 12,0 shirts in a day. Which answer below is the same as 12,0? A One thousand twenty-one hundred B Twelve thousand one hundred C One thousand two hundred ten Which of these numbers is ten times as much as 41? A 4 B 41 C 0.41 27 23 This cake has 7 slices. If you eat 1 slice, what fraction of the cake did you eat? At a carnival, a clown is distributing the stuffed toys shown above. What is the chance that the toy he takes out from his bag is a pig? 24 What fraction below shows 3.4? A 34 B 34 2 C 3 4 AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 1, Page 5
28 30 The picture below represents the number sentence 7 3 = 21. Convert 33 2 A 33.2 B 3.2 C 16.5 to a decimal. Which number sentence shows the inverse of the number sentence above? A 21 3 = 63 B 21 7 = 3 C 21 3 = 18 29 How many outcomes are possible on this spinner? (Assume the spinner cannot land on a line.) AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 1, Page 6
Reminder: There is no partial credit when scoring. The answer must be correct in its entirety to obtain the correct score value. If any part of a multi-part question is incorrect, the score is zero. Grade 4, Probe 1 Answer Key Item No. Answer Correct Incorrect 1. 90 1 0 2. 427 1 0 3. 3 1 0 4. C 2 0 5. 1875 1 0 6. A 1 0 7. 38 2 0 8. Indonesia 1 0 9. 9 3 0. C 1 0 11. 1, 20 2 0 12. 7 1 0 13. C 1 0 14. 5.60 2 0 15. 6 11 1 0 16. B 1 0 17. 3 2 0 18. 4 1 0 19. (2, 4) 2 0 20. A 2 0 21. 91, 96 3 0 22. B 1 0 23. 1 2 or 1:2 or 1 in 2 2 0 24. A 1 0 25. 2 2 0 26. A 2 0 27. 1 7 1 0 28. B 3 0 29. 7 2 0 30. C 3 0 Total AIMSweb Math Concepts and Applications Benchmark Answer Key, Grade 4, Probe 1
1 Use the graph to answer the question. 4 High Temperature ( F) 120 1 0 90 80 70 60 50 40 30 20 0 Temperature Over a Week Sunday Monday Tuesday Wednesday Thursday Friday Saturday Kevin had 9 oranges. He juiced 4 3 4 oranges. How many oranges are left? A 4 3 4 B 4 1 4 C 9 3 4 Days What was the highest temperature recorded during the week? 5 What is the total weight of the fruits? F Fruits Weight Apples 1700 grams 2 Grapes 95 grams Apricots 0 grams 62 + 3 + 0 = grams 3 in. What is the length of the key? in. AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 2, Page 1
6 Robert builds a structure with wooden sticks. Which number sentence gives the height of the structure? 9 Find the missing number to make this statement true. 6 (5 + 4) = 6 5 + 6 1 cm 7 cm Which option below shows 2 parallel lines? 3 cm A 3 + 1 + 7 B 1 + 1 + 1 C 1 + 1 + 7 A B 7 Complete the sequence. C 73, 64, 55, 8 This chart shows the area of different countries of the world. 11 Use the table to answer the question. Country Area (Square Kilometers) Activity Time Taken by Damien Angola 1,246,700 Sprinting 20 minutes Mali 1,240,192 Cycling 25 minutes Niger 1,267,000 Swimming 35 minutes Peru 1,285,216 Running 15 minutes Which country has the largest area? What is the total time taken by Damien for his cross-country marathon practice? hour minutes AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 2, Page 2
12 What is the temperature as shown on the thermometer? 22 20 18 16 14 12 8 6 4 2 0 F 14 Use the table below to answer the question. Package Acrylic paint Glue sticks Fabric glue Cost per Package $5.35 $2. $8. Anna is buying items for a craft project. How much more money will Anna spend if she buys a package of fabric glue instead of a package of glue sticks? $ F 13 Mr. Martin can shovel snow from a 0-feet-long driveway in 7 hours. How long will it take him to shovel snow from a 700-feet-long driveway? A 3.5 hours 15 The picture shows a part of a wall. What fraction of this part of the wall is marked? B 49 hours C 14 hours AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 2, Page 3
16 The diagram shows the pattern of tiles Logan is using on his kitchen walls. 18 A ZIP code for Deerbrook, Wisconsin is 54424. Which digit is in the hundreds place? 19 Use the graph to answer the question. Y 12 Bumper boat 8 Chairlift Which row of tiles is the bottom row missing from Logan s kitchen wall? 6 4 Roller coaster Tilt-a-whirl A 2 0 Train ride 2 4 6 8 12 B Chloe is at an amusement park. She wants to ride a roller coaster. Write the coordinates of the roller coaster. C 20 17 Find the missing number to make this statement true. 2 + 7 + 6 = 9 + Helicopter A weighs 29,120 kilograms (kg) and helicopter B weighs 32,990 kg. What is the best estimate of the difference in the weight of the two helicopters? A 2000 kg B 3000 kg C 4000 kg AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 2, Page 4
21 Write the next two numbers of the sequence. 25 Write the number that balances this equation. 35, 37, 40,, (6 2) + 4 = 5 + 22 26 A factory manufactures 12,800 shirts in a day. Which answer below is the same as 12,800? A Twelve thousand eight hundred B One thousand two hundred eighty C One thousand twenty-eight hundred Which of these numbers is ten times as much as 46? A 4.6 B 46 C 460 27 23 This cake has 11 slices. If you eat 1 slice, what fraction of the cake did you eat? These fruits are kept on a dining table. Tyler has to pick up one of these fruits. What is the chance that he will pick up a pear? 24 What fraction below shows 4.9? A 49 2 B 4 9 C 49 AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 2, Page 5
28 30 The picture below represents the number sentence 7 8 = 56. Convert 22 4 A 5.5 B 2.2 C 2.4 to a decimal. Which number sentence shows the inverse of the number sentence above? A 56 8 = 7 B 56 + 8 = 64 C 56 8 = 48 29 How many outcomes are possible on this spinner? (Assume the spinner cannot land on a line.) AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 2, Page 6
Reminder: There is no partial credit when scoring. The answer must be correct in its entirety to obtain the correct score value. If any part of a multi-part question is incorrect, the score is zero. Grade 4, Probe 2 Answer Key Item No. Answer Correct Incorrect 1. 70 1 0 2. 165 1 0 3. 8 1 0 4. B 2 0 5. 1895 1 0 6. A 1 0 7. 46 2 0 8. Peru 1 0 9. 4 3 0. B 1 0 11. 1, 35 2 0 12. 12 1 0 13. B 1 0 14. 6 2 0 15. 11 11 1 0 16. B 1 0 17. 6 2 0 18. 4 1 0 19. (2, 6) 2 0 20. C 2 0 21. 44, 49 3 0 22. A 1 0 23. 1 4 or 1:4 or 1 in 4 2 0 24. C 1 0 25. 2 2 0 26. C 2 0 27. 1 11 1 0 28. A 3 0 29. 4 2 0 30. A 3 0 Total AIMSweb Math Concepts and Applications Benchmark Answer Key, Grade 4, Probe 2
1 Use the graph to answer the question. 4 High Temperature ( F) 120 1 0 90 80 70 60 50 40 30 20 0 Temperature Over a Week Sunday Monday Tuesday Wednesday Thursday Friday Saturday Doug had 7 oranges. He juiced 4 1 4 oranges. How many oranges are left? A 7 3 4 B 4 1 4 C 2 3 4 Days What was the highest temperature recorded during the week? 5 What is the total weight of the fruits? F Fruits Weight 2 Apples Grapes 1750 grams 85 grams 62 + 7 + 0 = Apricots 200 grams grams 3 + in. What is the length of the battery? in. AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 3, Page 1
6 Mia builds a structure with wooden sticks. Which number sentence gives the height of the structure? 9 Find the missing number to make this statement true. 8 (8 + 9) = 8 8 + 8 2 cm 5 cm Which option below shows 2 perpendicular lines? 3 cm A 3 + 2 + 5 B 4 + 3 + 4 C 2 + 4 + 5 A B 7 Complete the sequence. C 77, 68, 59, 8 This chart shows the area of different countries of the world. Country Canada United States of America Brazil Area (Square Kilometers) 9,984,670 9,629,091 8,514,877 11 Use the table to answer the question. Activity Hitting Catching Pitching Time Taken by Bruce 20 minutes 15 minutes 30 minutes Australia 7,692,024 Fielding 40 minutes Which country has the largest area? What is the total time taken by Bruce for his baseball practice? hour minutes AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 3, Page 2
12 What is the temperature as shown on the thermometer? 22 20 18 16 14 12 8 6 4 2 0 F 14 Use the table below to answer the question. Package Acrylic paint Glue sticks Fabric glue Cost per Package $5.35 $2. $8.40 Meg is buying items for a craft project. How much more money will Meg spend if she buys a package of fabric glue instead of a package of glue sticks? $ F 13 Mr. Hall can mow a 200-feet-long lawn in 8 hours. How long will it take him to mow a 400-feet-long lawn? A 8.4 hours 15 The picture shows a part of a wall. What fraction of this part of the wall is marked? B 32 hours C 16 hours AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 3, Page 3
16 The diagram shows the pattern of tiles Barry is using on his kitchen walls. 18 A ZIP code for El Paso, Texas is 85925. Which digit is in the hundreds place? Which row of tiles is the bottom row missing from Barry s kitchen wall? 19 Use the graph to answer the question. Y 12 Bumper boat Chairlift 8 Roller coaster 6 Tilt-a-whirl 4 2 Train ride A B 0 2 4 6 8 12 Eve is at an amusement park. She wants to ride a roller coaster. Write the coordinates of the roller coaster. C 20 Helicopter A weighs 30,423 kilograms (kg) and helicopter B weighs 32,3 kg. What is the best estimate of the difference in the weight of the two helicopters? 17 Find the missing number to make this statement true. 3 + 7 + 6 = 9 + A 00 kg B 3000 kg C 2000 kg AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 3, Page 4
21 Write the next two numbers of the sequence. 25 Write the number that balances this equation. 68, 70, 73,, (4 2) + 4 = 3 + 22 26 A factory manufactures 15,300 shirts in a day. Which answer below is the same as 15,300? A Fifteen thousand three hundred B One thousand five hundred thirty C One thousand fifty-three hundred Which of these numbers is ten times as much as 56? A 5.6 B 560 C 56 27 23 This chocolate bar has 5 squares. If you eat 1 square, what fraction of the chocolate bar did you eat? 35 50 55 75 At a carnival, Daniel throws a ball at one of the puppets shown above. What is the chance that the ball will hit a puppet wearing a T-shirt marked number 50? 24 What fraction below shows 5.4? A 5 4 B 54 C 54 AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 3, Page 5
28 The picture below represents the number sentence 8 5 = 40. 30 Convert 27 to a decimal. 4 A 2.7 B 27.4 C 6.75 Which number sentence shows the inverse of the number sentence above? A 40 5 = 8 B 5 8 = 40 C 8 5 = 3 29 Pink White Green Purple Yellow How many outcomes are possible on this spinner? (Assume the spinner cannot land on a line.) AIMSweb Math Concepts and Applications Benchmark Grade 4, Probe 3, Page 6
Reminder: There is no partial credit when scoring. The answer must be correct in its entirety to obtain the correct score value. If any part of a multi-part question is incorrect, the score is zero. Grade 4, Probe 3 Answer Key Item No. Answer Correct Incorrect 1. 40 1 0 2. 169 1 0 3. 5 1 0 4. C 2 0 5. 2035 1 0 6. A 1 0 7. 50 2 0 8. Canada 1 0 9. 9 3 0. A 1 0 11. 1, 45 2 0 12. 16 1 0 13. C 1 0 14. 6.30 2 0 15. 6 13 1 0 16. A 1 0 17. 7 2 0 18. 9 1 0 19. (, 6) 2 0 20. C 2 0 21. 77, 82 3 0 22. A 1 0 23. 1 4 or 1:4 or 1 in 4 2 0 24. B 1 0 25. 3 2 0 26. B 2 0 27. 1 5 1 0 28. A 3 0 29. 5 2 0 30. C 3 0 Total AIMSweb Math Concepts and Applications Benchmark Answer Key, Grade 4, Probe 3