Free Grade 5 NY State Test Practice Questions
Fifth graders in New York sit the State Tests in ELA and math each spring. Here are sample questions from our grade 5 practice exams, each wrong option explained.
Take these as an interactive quiz The full Grade 5 State Test exams
Read this, then answer the questions about it.
[1] Coach Whitaker read out the relay order on Thursday, and Sam heard his own name in the third position and understood immediately that he had been demoted.
[2] Everybody knew the order. [3] The fastest runner goes last, because the last leg wins races. [4] The second fastest goes first, to get the team out ahead. [5] The third leg is where you put the runner you are least worried about losing ground with, and Sam had run the last leg at every meet since March.
[6] He waited until the others had gone before he said anything.
[7] "Did I do something?"
[8] Coach Whitaker was coiling a stopwatch cord around two fingers. [9] "You mean did you do something wrong."
[10] "Yes."
[11] "No." [12] She put the stopwatch in her pocket. [13] "What is the hardest part of a relay?"
[14] "Running fast."
[15] "Try again."
[16] Sam thought about it and got nowhere, and said so.
[17] "The exchanges," she said. [18] "Four runners, three exchanges. [19] You have twenty meters of a marked zone to pass a baton to somebody who is already moving and cannot see you. [20] Get it wrong and you are disqualified no matter how fast anybody ran." [21] She looked at him. [22] "How many batons have you dropped this season?"
[23] "None."
[24] "How many has anybody else on this team dropped?"
[25] Sam did the arithmetic and did not like where it led. [26] "Eleven," he said. [27] "Between them."
[28] "The third leg takes an exchange and gives an exchange. [29] It does both at full speed in the middle of a race, when everybody is tired and the crowd is loud. [30] It is the leg where teams lose." [31] She picked up her clipboard. [32] "I did not put you there to hide you. [33] I put you where the race is most likely to be thrown away."
[34] Sam stood in the empty gym for a while after she left.
[35] At the meet on Saturday he took the baton cleanly, ran his two hundred meters in a time nobody would remember, and handed it forward without either of them breaking stride. [36] The team won by four tenths of a second. [37] Afterward the anchor runner got his photograph taken with the medal, which is how relays work and which Sam had known before he ever joined one.
[38] On the bus his friend Devin asked whether it bothered him, not running last anymore.
[39] Sam thought about the twenty-meter zone and the four tenths of a second.
[40] "Ask me in June," he said.
Question 1
- A. He was moved from the last leg to the third
- B. Coach Whitaker did not read his name out with the others
- C. He was left off the relay team altogether this time
- D. He was moved from first to third
Show the answer
The answer is A. Everyone knows the fastest runner goes last, so being moved off the anchor leg reads as a demotion to Sam.
- B is wrong: His name is read out — that is how he learns his position.
- C is wrong: He runs in the meet on Saturday.
- D is wrong: The story says he had run the last leg at every meet since March.
Read this, then answer the questions about it.
[1] Coach Whitaker read out the relay order on Thursday, and Sam heard his own name in the third position and understood immediately that he had been demoted.
[2] Everybody knew the order. [3] The fastest runner goes last, because the last leg wins races. [4] The second fastest goes first, to get the team out ahead. [5] The third leg is where you put the runner you are least worried about losing ground with, and Sam had run the last leg at every meet since March.
[6] He waited until the others had gone before he said anything.
[7] "Did I do something?"
[8] Coach Whitaker was coiling a stopwatch cord around two fingers. [9] "You mean did you do something wrong."
[10] "Yes."
[11] "No." [12] She put the stopwatch in her pocket. [13] "What is the hardest part of a relay?"
[14] "Running fast."
[15] "Try again."
[16] Sam thought about it and got nowhere, and said so.
[17] "The exchanges," she said. [18] "Four runners, three exchanges. [19] You have twenty meters of a marked zone to pass a baton to somebody who is already moving and cannot see you. [20] Get it wrong and you are disqualified no matter how fast anybody ran." [21] She looked at him. [22] "How many batons have you dropped this season?"
[23] "None."
[24] "How many has anybody else on this team dropped?"
[25] Sam did the arithmetic and did not like where it led. [26] "Eleven," he said. [27] "Between them."
[28] "The third leg takes an exchange and gives an exchange. [29] It does both at full speed in the middle of a race, when everybody is tired and the crowd is loud. [30] It is the leg where teams lose." [31] She picked up her clipboard. [32] "I did not put you there to hide you. [33] I put you where the race is most likely to be thrown away."
[34] Sam stood in the empty gym for a while after she left.
[35] At the meet on Saturday he took the baton cleanly, ran his two hundred meters in a time nobody would remember, and handed it forward without either of them breaking stride. [36] The team won by four tenths of a second. [37] Afterward the anchor runner got his photograph taken with the medal, which is how relays work and which Sam had known before he ever joined one.
[38] On the bus his friend Devin asked whether it bothered him, not running last anymore.
[39] Sam thought about the twenty-meter zone and the four tenths of a second.
[40] "Ask me in June," he said.
Question 2
- A. To find out whether he has been practicing on his own
- B. To remind him that mistakes of that kind are very common
- C. To compare him with the anchor runner
- D. To show that his record is exactly why he was moved
Show the answer
The answer is D. Sam has dropped none and the rest of the team has dropped eleven between them, which is why the coach puts him where exchanges matter most.
- A is wrong: She never asks about his practice, only about his results.
- B is wrong: Eleven dropped batons is her evidence, but her point is about Sam's zero.
- C is wrong: She asks about everybody else on the team together, not one runner.
Read this, then answer the questions about it.
[1] Coach Whitaker read out the relay order on Thursday, and Sam heard his own name in the third position and understood immediately that he had been demoted.
[2] Everybody knew the order. [3] The fastest runner goes last, because the last leg wins races. [4] The second fastest goes first, to get the team out ahead. [5] The third leg is where you put the runner you are least worried about losing ground with, and Sam had run the last leg at every meet since March.
[6] He waited until the others had gone before he said anything.
[7] "Did I do something?"
[8] Coach Whitaker was coiling a stopwatch cord around two fingers. [9] "You mean did you do something wrong."
[10] "Yes."
[11] "No." [12] She put the stopwatch in her pocket. [13] "What is the hardest part of a relay?"
[14] "Running fast."
[15] "Try again."
[16] Sam thought about it and got nowhere, and said so.
[17] "The exchanges," she said. [18] "Four runners, three exchanges. [19] You have twenty meters of a marked zone to pass a baton to somebody who is already moving and cannot see you. [20] Get it wrong and you are disqualified no matter how fast anybody ran." [21] She looked at him. [22] "How many batons have you dropped this season?"
[23] "None."
[24] "How many has anybody else on this team dropped?"
[25] Sam did the arithmetic and did not like where it led. [26] "Eleven," he said. [27] "Between them."
[28] "The third leg takes an exchange and gives an exchange. [29] It does both at full speed in the middle of a race, when everybody is tired and the crowd is loud. [30] It is the leg where teams lose." [31] She picked up her clipboard. [32] "I did not put you there to hide you. [33] I put you where the race is most likely to be thrown away."
[34] Sam stood in the empty gym for a while after she left.
[35] At the meet on Saturday he took the baton cleanly, ran his two hundred meters in a time nobody would remember, and handed it forward without either of them breaking stride. [36] The team won by four tenths of a second. [37] Afterward the anchor runner got his photograph taken with the medal, which is how relays work and which Sam had known before he ever joined one.
[38] On the bus his friend Devin asked whether it bothered him, not running last anymore.
[39] Sam thought about the twenty-meter zone and the four tenths of a second.
[40] "Ask me in June," he said.
Question 3
- A. He ran badly and let the team down
- B. The timing equipment failed partway through the race
- C. He was slower on the day than he had been all season
- D. His contribution was not the kind that gets noticed
Show the answer
The answer is D. The sentence sits beside the anchor runner having his photograph taken. Sam's work decided the race and left no trace on the results sheet.
- A is wrong: The team wins, and his exchanges are clean.
- B is wrong: The margin of four tenths of a second is recorded precisely.
- C is wrong: No comparison with his earlier times is given.
Question 5
- A. 125,632
- B. 121,632
- C. 96,640
- D. 28,992
Show the answer
The answer is A. 4,832 x 20 = 96,640 and 4,832 x 6 = 28,992, and 96,640 + 28,992 = 125,632.
- B is wrong: One of the partial products is 4,000 short. Check 4,832 x 20 = 96,640.
- C is wrong: This is only 4,832 x 20. The 6 has still to be multiplied.
- D is wrong: This is only 4,832 x 6. The 20 has still to be multiplied.
Question 6
- A. 11/12
- B. 3/7
- C. 3/12
- D. 8/12
Show the answer
The answer is A. Using twelfths: 2/3 = 8/12 and 1/4 = 3/12, and 8/12 + 3/12 = 11/12.
- B is wrong: This adds the tops and the bottoms separately, which is not how fractions add.
- C is wrong: This is 1/4 of the way there — check the common denominator step.
- D is wrong: This is 2/3 written as twelfths, before the 1/4 was added.
Question 7
- A. 12 cubic inches
- B. 47 cubic inches
- C. 24 cubic inches
- D. 60 cubic inches
Show the answer
The answer is D. Volume is length times width times height: 4 x 3 x 5 = 60 cubic inches.
- A is wrong: This multiplies only the length and the width, which gives the area of the base.
- B is wrong: This adds the three measurements in some way. Volume multiplies all three.
- C is wrong: This adds the three measurements and doubles, which is not how volume works.
Question 8
- A. 0.24
- B. 2.4
- C. 0.024
- D. 1.0
Show the answer
The answer is A. 6 x 4 = 24, and the two factors have one decimal place each, so the answer has two: 0.24.
- B is wrong: The decimal point has been left out. Both numbers are less than 1, so the answer must be smaller than either of them.
- C is wrong: This has one decimal place too many. The two factors have one each, so the answer has two.
- D is wrong: This adds the two numbers instead of multiplying them.
Question 9
- A. 4/5
- B. 1/20
- C. 20
- D. 5/4
Show the answer
The answer is C. Ask how many fifths fit into 4. Each whole holds 5, and there are 4 wholes, so 4 x 5 = 20.
- A is wrong: This multiplies by 1/5 instead of dividing by it.
- B is wrong: Dividing by a fraction smaller than 1 makes the answer larger, not smaller.
- D is wrong: This turns the whole number into a fraction rather than counting fifths.
Question 10
- A. Every rectangle is a square
- B. Every square is a rectangle
- C. Every rectangle is a rhombus
- D. Every trapezoid is a parallelogram
Show the answer
The answer is B. A rectangle is a quadrilateral with four right angles. A square has four right angles too, so every square fits the definition of a rectangle.
- A is wrong: A rectangle only needs opposite sides equal. A 6 by 2 rectangle is not a square.
- C is wrong: A rhombus needs four equal sides, which most rectangles do not have.
- D is wrong: A trapezoid has exactly one pair of parallel sides; a parallelogram has two.
One more question on this sample asks for a written answer. Try it on the interactive page, where it is marked.