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Free Grade 8 NY State Test Practice Questions

Grade 8 is the last year of the New York State Tests in ELA and math. These sample questions come from our grade 8 practice exams, every wrong answer explained.

Take these as an interactive quiz The full Grade 8 State Test exams

Read this, then answer the questions about it.

[1] There are two violin sections in an orchestra, and the difference between them is not skill, although everybody under sixteen believes it is.

[2] Yusuf believed it until he was fifteen, when he was moved from the back of the firsts to the front of the seconds and spent about a month being quietly furious.

[3] The seconds do not play the tune. [4] That is the whole thing, put simply and slightly wrongly. [5] What they play is the middle: the harmony under the melody, the rhythmic figure that keeps the pulse while the firsts hold a long note, the line that moves when nothing else is moving. [6] It is often more difficult than the tune and it is never the thing anybody hums afterward.

[7] It is also, in a real sense, harder to hold. [8] A melody carries itself; a listener will follow it even if it drifts. [9] An inner line has nothing pulling it along, so a section that loses its place in one is simply lost, and everybody in the hall hears something wrong without being able to say what.

[10] His stand partner, a woman named Ruth who was seventy-one and had played second violin in the same community orchestra for thirty-four years, said almost nothing for the first three rehearsals.

[11] In the fourth she stopped him during a rest.

[12] "You are listening up."

[13] "What?"

[14] "You are listening to the firsts. [15] You are following them." [16] She turned a page. [17] "Listen down. [18] The celli have the shape of this. [19] We are with them, not with the tune."

[20] Yusuf tried it in the next passage and something rearranged itself. [21] He had been hearing the piece as a melody with accompaniment, which is how you hear music from the outside. [22] From the inside it was several things happening at once, and the second violins were where two of them met.

[23] What changed was not his opinion of the seconds, which he had never really formed, but his idea of what an orchestra was. [24] He had thought of it as a large instrument playing one thing. [25] It turned out to be a room full of people each playing a different thing on purpose, and the tune was simply the part that happened to be audible from the cheap seats.

[26] He stopped being furious somewhere in November and did not notice for weeks that he had.

[27] In March the orchestra played a piece with a long section where the firsts rest entirely. [28] Playing it, Yusuf understood that there were maybe two hundred people in the hall and possibly four of them could hear what the seconds were doing. [29] Ruth had been doing it for thirty-four years anyway.

[30] Afterward he asked her whether she had ever wanted to move up.

[31] Ruth said she had been asked twice and had said no twice, and that people always assumed this was modesty, and that it had never once been modesty.

Question 1

What does Yusuf believe about the two violin sections at first?
  1. A. That the seconds are larger
  2. B. That the seconds play more difficult music
  3. C. That the sections rotate each year
  4. D. That the difference is skill
Show the answer

The answer is D. The story says everybody under sixteen believes it, and that Yusuf believed it until he was fifteen.

  • A is wrong: Section size is never mentioned.
  • B is wrong: He learns this later, and it is offered as a correction.
  • C is wrong: No rotation is described.

Read this, then answer the questions about it.

[1] There are two violin sections in an orchestra, and the difference between them is not skill, although everybody under sixteen believes it is.

[2] Yusuf believed it until he was fifteen, when he was moved from the back of the firsts to the front of the seconds and spent about a month being quietly furious.

[3] The seconds do not play the tune. [4] That is the whole thing, put simply and slightly wrongly. [5] What they play is the middle: the harmony under the melody, the rhythmic figure that keeps the pulse while the firsts hold a long note, the line that moves when nothing else is moving. [6] It is often more difficult than the tune and it is never the thing anybody hums afterward.

[7] It is also, in a real sense, harder to hold. [8] A melody carries itself; a listener will follow it even if it drifts. [9] An inner line has nothing pulling it along, so a section that loses its place in one is simply lost, and everybody in the hall hears something wrong without being able to say what.

[10] His stand partner, a woman named Ruth who was seventy-one and had played second violin in the same community orchestra for thirty-four years, said almost nothing for the first three rehearsals.

[11] In the fourth she stopped him during a rest.

[12] "You are listening up."

[13] "What?"

[14] "You are listening to the firsts. [15] You are following them." [16] She turned a page. [17] "Listen down. [18] The celli have the shape of this. [19] We are with them, not with the tune."

[20] Yusuf tried it in the next passage and something rearranged itself. [21] He had been hearing the piece as a melody with accompaniment, which is how you hear music from the outside. [22] From the inside it was several things happening at once, and the second violins were where two of them met.

[23] What changed was not his opinion of the seconds, which he had never really formed, but his idea of what an orchestra was. [24] He had thought of it as a large instrument playing one thing. [25] It turned out to be a room full of people each playing a different thing on purpose, and the tune was simply the part that happened to be audible from the cheap seats.

[26] He stopped being furious somewhere in November and did not notice for weeks that he had.

[27] In March the orchestra played a piece with a long section where the firsts rest entirely. [28] Playing it, Yusuf understood that there were maybe two hundred people in the hall and possibly four of them could hear what the seconds were doing. [29] Ruth had been doing it for thirty-four years anyway.

[30] Afterward he asked her whether she had ever wanted to move up.

[31] Ruth said she had been asked twice and had said no twice, and that people always assumed this was modesty, and that it had never once been modesty.

Question 2

What changes for Yusuf when he tries it?
  1. A. He plays more accurately
  2. B. He memorizes the part
  3. C. He is moved back to sit with the first violins for the concert
  4. D. He hears the piece as several things happening at once
Show the answer

The answer is D. The story says he had been hearing a melody with accompaniment, which is how you hear music from the outside.

  • A is wrong: Accuracy is not what the story describes changing.
  • B is wrong: Memory is not discussed.
  • C is wrong: He stays in the seconds.

Read this, then answer the questions about it.

[1] There are two violin sections in an orchestra, and the difference between them is not skill, although everybody under sixteen believes it is.

[2] Yusuf believed it until he was fifteen, when he was moved from the back of the firsts to the front of the seconds and spent about a month being quietly furious.

[3] The seconds do not play the tune. [4] That is the whole thing, put simply and slightly wrongly. [5] What they play is the middle: the harmony under the melody, the rhythmic figure that keeps the pulse while the firsts hold a long note, the line that moves when nothing else is moving. [6] It is often more difficult than the tune and it is never the thing anybody hums afterward.

[7] It is also, in a real sense, harder to hold. [8] A melody carries itself; a listener will follow it even if it drifts. [9] An inner line has nothing pulling it along, so a section that loses its place in one is simply lost, and everybody in the hall hears something wrong without being able to say what.

[10] His stand partner, a woman named Ruth who was seventy-one and had played second violin in the same community orchestra for thirty-four years, said almost nothing for the first three rehearsals.

[11] In the fourth she stopped him during a rest.

[12] "You are listening up."

[13] "What?"

[14] "You are listening to the firsts. [15] You are following them." [16] She turned a page. [17] "Listen down. [18] The celli have the shape of this. [19] We are with them, not with the tune."

[20] Yusuf tried it in the next passage and something rearranged itself. [21] He had been hearing the piece as a melody with accompaniment, which is how you hear music from the outside. [22] From the inside it was several things happening at once, and the second violins were where two of them met.

[23] What changed was not his opinion of the seconds, which he had never really formed, but his idea of what an orchestra was. [24] He had thought of it as a large instrument playing one thing. [25] It turned out to be a room full of people each playing a different thing on purpose, and the tune was simply the part that happened to be audible from the cheap seats.

[26] He stopped being furious somewhere in November and did not notice for weeks that he had.

[27] In March the orchestra played a piece with a long section where the firsts rest entirely. [28] Playing it, Yusuf understood that there were maybe two hundred people in the hall and possibly four of them could hear what the seconds were doing. [29] Ruth had been doing it for thirty-four years anyway.

[30] Afterward he asked her whether she had ever wanted to move up.

[31] Ruth said she had been asked twice and had said no twice, and that people always assumed this was modesty, and that it had never once been modesty.

Question 3

What does Yusuf realize during the March performance?
  1. A. Four people at most can hear what the seconds do, and Ruth has done it anyway
  2. B. The firsts are unnecessary
  3. C. He should have been in the firsts
  4. D. The audience prefers the seconds
Show the answer

The answer is A. The point is the gap between how little is noticed and how long Ruth has done it — thirty-four years.

  • B is wrong: They rest for one section, not the piece.
  • C is wrong: He has stopped being furious by November.
  • D is wrong: Audience preference is not discussed.

Question 5

What is the slope of the line through (2, 3) and (6, 11)?
  1. A. 4
  2. B. 1/2
  3. C. 2
  4. D. 8
Show the answer

The answer is C. Slope is the change in y over the change in x: (11 - 3) / (6 - 2) = 8 / 4 = 2.

  • A is wrong: This is the change in x only.
  • B is wrong: This inverts the ratio, dividing the run by the rise.
  • D is wrong: This is the change in y only.

Question 6

A right triangle has legs of 6 and 8. What is the hypotenuse?
  1. A. 10
  2. B. 14
  3. C. 48
  4. D. 100
Show the answer

The answer is A. 6 squared plus 8 squared is 36 + 64 = 100, and the square root of 100 is 10.

  • B is wrong: This adds the legs.
  • C is wrong: This multiplies the legs.
  • D is wrong: This is the square of the hypotenuse, before the square root.

Question 7

What is the rate of change of a function passing through (1, 5) and (4, 20)?
  1. A. 5
  2. B. 3
  3. C. 15
  4. D. 1/5
Show the answer

The answer is A. Rate of change is (20 - 5) / (4 - 1) = 15 / 3 = 5.

  • B is wrong: This is the change in x, not the rate.
  • C is wrong: This is the change in y only.
  • D is wrong: This inverts the ratio.

Question 8

What is 4.5 x 10^6 written in standard form?
  1. A. 450,000
  2. B. 45,000,000
  3. C. 4,500,000
  4. D. 0.0000045
Show the answer

The answer is C. Multiplying by 10 to the sixth moves the decimal point six places right.

  • A is wrong: This moves the point five places, not six.
  • B is wrong: This moves it seven places.
  • D is wrong: A positive exponent makes the number larger, not smaller.

Question 9

What is the volume of a cylinder with radius 3 and height 10, using 3.14 for pi?
  1. A. 94.2
  2. B. 282.6
  3. C. 188.4
  4. D. 30
Show the answer

The answer is B. Volume = pi x r squared x h = 3.14 x 9 x 10 = 282.6.

  • A is wrong: This is the circumference times the height divided by two.
  • C is wrong: This uses the diameter instead of squaring the radius correctly.
  • D is wrong: This multiplies the radius by the height only.

Question 10

Which number is irrational?
  1. A. 0.75
  2. B. the square root of 16
  3. C. the square root of 10
  4. D. 3/8
Show the answer

The answer is C. 10 is not a perfect square, so its square root is a decimal that never ends or repeats.

  • A is wrong: This is a terminating decimal, which is rational.
  • B is wrong: The square root of 16 is 4, a whole number.
  • D is wrong: Any fraction of two integers is rational.

One more question on this sample asks for a written answer. Try it on the interactive page, where it is marked.