New York State Testing Program Mathematics Grade 4

1.A chart at the Buffalo harbor shows 392,418. What is the value of the digit 3?

2.The Albany library catalog lists 506,274 items. Which digit is in the ten-thousands place?

3.A subway counter reads 184,703 riders for the week. What is the value of the 8?

4.Which number has a 4 in the hundred-thousands place and a 7 in the hundreds place?

5.A Hudson ferry log records 210,056 crossings. Which expression is that number in expanded form?

6.An Albany museum counted 63,405 visitors, and a Buffalo museum counted 63,450. Which statement is true?

7.A scoreboard shows 6 in the hundred-thousands place, 3 in the thousands place, and 8 in the tens place. Every other digit is 0. What number is that?

8.The digit 5 in 75,218 is how many times the value of the digit 5 in 8,459?

9.A clerk in Albany totals 46,382 subway transfers and reports that total to the nearest thousand. What number should the report use?

10.Before a meeting, a Hudson ferry manager replaces the exact trip count 128,650 with the nearest hundred thousand. What figure does the manager use?

11.A library fund in Albany has raised 3,850 dollars. The poster rounds that amount to the nearest hundred dollars. What amount is printed?

12.Buffalo counted 74,261 people at a waterfront fair. The newspaper headline uses the nearest ten thousand. What number belongs in the headline?

13.The Buffalo harbor ledger lists 609,500 cargo tags. When that count is written to the nearest thousand, what number appears?

14.An Albany bus has traveled 15,449 miles. The maintenance log keeps mileage only to the nearest hundred. What mileage is written in the log?

15.An Albany library already owned 18,907 books and then received 4,286 more. How many books does it have now?

16.A subway station counted 52,018 riders on Monday and 47,365 on Tuesday. How many more riders came on Monday?

17.Ferry crews on the Hudson carried 6,480 passengers in the morning and 5,275 in the afternoon. How many passengers is that altogether?

18.A marked path along the Hudson is 30,000 feet long. Walkers have covered 12,468 feet. How many feet are still ahead?

19.A Buffalo warehouse shipped 8,246 boxes in the first load and 3,907 boxes in the second. How many boxes left the warehouse?

20.An Albany school started the month with 9,050 pencils and students used 2,786 of them. How many pencils are left?

21.At one subway gate the log shows 24,610 entries and 19,875 exits. How many more entries than exits is that?

22.Three libraries hold 15,400, 8,276, and 6,089 picture books. How many picture books do they hold together?

23.A ferry company hoped for 40,000 riders in a month and counted 36,518. How many riders short of the hope is that?

24.On Saturday a Buffalo market sold 7,345 apples. On Sunday it sold 2,678 fewer apples than on Saturday. How many apples sold on Sunday?

25.An Albany library has 18 shelves with 25 books on each shelf. How many books is that?

26.How many seats are on a subway train of 8 cars when each car has 42 seats?

27.Life vests on a Hudson ferry are stored 36 to a bin, and 15 bins are full. How many vests is that?

28.A cruise deck on the Hudson has 32 rows with 24 seats in each row. How many seats are on the deck?

29.Printers in Buffalo make 125 library cards each hour. How many cards do they make in 6 hours?

30.An Albany bakery packs 48 muffins in a crate for a ferry picnic and fills 27 crates. How many muffins is that?

31.A subway booth keeps 64 rolls of tokens, and each roll holds 40 tokens. How many tokens are in the drawer?

32.A delivery to the library is 19 boxes with 36 pencils in each box. How many pencils arrived?

33.A Hudson ferry repeats 14 crossings on each of 25 days. How many crossings is that?

34.Volunteers set 56 chairs in each of 18 library meeting rooms. How many chairs do they set out?

35.A newsstand by the subway sells 235 papers on each of 4 weekdays. How many papers is that?

36.Gardeners place 27 tulip bulbs in each of 43 beds along the Hudson. How many bulbs do they plant?

37.A carpenter sets a square against a bookshelf corner in the Albany library, and the corner matches the square. How many degrees is that corner?

38.A painted angle on a ferry ramp measures 37 degrees. What kind of angle is it?

39.On a subway diagram, two track lines meet at 128 degrees. What kind of angle is that?

40.Two angles form a straight line along a library shelf. One measures 65 degrees. What does the other measure?

41.A librarian in Albany makes stacks of 8 from 157 books, using as many full stacks as possible. What is the quotient and remainder of 157 ÷ 8?

42.Passengers on a Hudson ferry fill rows of 9. From 286 passengers, what is the quotient and remainder of 286 ÷ 9?

43.Clerks bundle 500 subway maps into packs of 12 and stop when fewer than 12 remain. What is 500 ÷ 12?

44.Six Albany classrooms share 945 crayons as evenly as possible. What is the quotient and remainder of 945 ÷ 6?

45.Planters set saplings in rows of 7 beside the Hudson until the leftovers will not fill a row. From 214 saplings, what is 214 ÷ 7?

46.Library envelopes each hold 40 flyers. After filling as many as possible from 1,250 flyers, what is 1,250 ÷ 40?

47.During a tutoring hour in Buffalo, a teacher writes 863 ÷ 5. What quotient and remainder should the class record?

48.At a Buffalo market, bags hold 8 oranges each. From 738 oranges, what is the quotient and remainder of 738 ÷ 8?

49.A ferry snack bar puts 6 pretzels in each cup. From 412 pretzels, what is 412 ÷ 6?

50.Volunteers tie 2,017 subway posters into bundles of 15. What is the quotient and remainder of 2,017 ÷ 15?

51.A right angle painted on a ferry deck is split into a 28-degree angle and a second angle. What is the second angle?

52.A librarian draws the front edge of a shelf from one end to the other and stops at both ends. Which figure has exactly two endpoints?

53.Which list shows every whole-number factor of 18?

54.Books on a Buffalo reading cart are packed in groups of 7 with none left over. Which total can be packed that way?

55.A Hudson ferry leaves every 6 minutes, and a subway train leaves every 8 minutes. They leave together at noon. After how many minutes do they next leave together?

56.Which number is a factor of both 24 and 36?

57.Subway posters come only in packs of 6. Which of these counts is a whole number of packs?

58.What is the least common multiple of 4 and 10?

59.A ferry captain in Buffalo wants the next buoy labeled with a prime number. Which of these numbers is prime?

60.How many different factor pairs does 16 have? Count 4 × 4 as one pair, and do not switch the order of a pair.

61.Students building a library display need a composite number of tiles so the tiles can form a rectangle wider than one row. Which number works?

62.A library stamps new books every 9 days and dusts a shelf every 12 days. Both jobs happen today. After how many days do they next happen on the same day?

63.Train tracks beside the Hudson stay 8 feet apart and never meet. What kind of lines are the tracks?

64.The corner of a rectangular ferry window is a square corner. What is true about the two edges that meet there?

65.Half of the seats on a ferry are by the window. Which fraction also means one half?

66.A Hudson route is split into 3 equal parts, and 2 of those parts are marked. Which fraction names the same amount as 2/3?

67.Mia shades 3 of the 4 equal panels on a library poster and wants an equivalent fraction whose denominator is 12. Which fraction should she write?

68.Which pair of fractions is equivalent?

69.A reader shades 8 of 12 equal boxes on a library card. Which fraction is 8/12 in lowest terms?

70.Four of the 10 equal sections on a subway car are painted blue. What fraction of the car is blue, written in lowest terms?

71.Five of the 6 equal bands on a ferry flag are colored. Which fraction in twelfths names that same colored part?

72.The library shades 6 of 8 equal window panes. Which fraction names the same shaded part as 6/8?

73.Compare 3/5 and 2/5. Which statement is true?

74.A small ferry snack is 1/4 of a bar, and another is 1/6 of the same bar. Which statement is true?

75.A sign on a Hudson trail marks halfway as 1/2. Which fraction is still short of that halfway mark?

76.Two pieces of a library banner are 5/8 yard and 3/8 yard. Which statement is true?

77.At an Albany library party the cake is cut into eighths. Which of these slices is the biggest piece?

78.One Albany recipe uses 2/3 cup of oats, and another uses 2/5 cup. Which statement is true?

79.A ferry fuel gauge calls 3/4 of a tank the warning line. Which fraction describes a tank that is fuller than the warning line?

80.Which comparison is correct?

81.A reader finishes 2/8 of a library book on Monday and 3/8 more on Tuesday. What fraction of the book is that?

82.A ferry tank is 7/10 full, and the crew uses 3/10 of a full tank. What fraction of a full tank is left?

83.Walkers cover 1/6 of a Hudson path before lunch and 4/6 of the path after lunch. What fraction of the path is that altogether?

84.A painter at the library has 11/12 of a can of paint and uses 5/12 of a can. What fraction of a can is left?

85.Students at an Albany reading table eat 3/9 of a tray of apple slices and then 2/9 more. What fraction of the tray did they eat?

86.A ribbon for a library banner is 8/8 of a yard. After 3/8 of a yard is cut off, what fraction of a yard remains?

87.Two subway posters cover 2/7 and 3/7 of a wall. What fraction of the wall do they cover together?

88.A jug on the ferry holds 9/10 liter of water. Someone pours out 4/10 liter. How much water is left?

89.In a sketch of the Hudson, the waterline runs flat from the left edge of the page to the right edge. What is the measure of that straight angle?

90.A square corner of an Albany library card is a right angle split into 55 degrees and a second angle. How large is the second angle?

91.A gardener by the Hudson mixes 3/10 pound of clover seed with 6/10 pound of grass seed. How many pounds of seed is that?

92.A measuring tape shows a cut at 10/12 foot, and the next piece is 7/12 foot shorter. What fraction of a foot is left?

93.Carpet for the children's corner in Albany has to cover a rectangle that is 9 feet by 6 feet. How many square feet of carpet is that?

94.A rectangular ferry dock is 18 meters long and 7 meters wide. How long is a rope that goes once around the edge?

95.A square garden in Albany has sides of 12 feet. What is the area of the garden?

96.A rectangular poster is 15 inches long and 8 inches wide. How much ribbon is needed to go around its border?

97.How many 1-foot squares does it take to cover a subway platform that is 20 feet long and 5 feet wide?

98.A rectangular reading room is 13 yards long and 8 yards wide. How many yards of baseboard are needed to go around the room?

99.On a diagram of Albany bus routes, an arrow starts at the capitol and continues off the page in one direction. How many endpoints does that ray have?

100.Two painted lines in a Buffalo crosswalk meet and make four square corners. Which name fits those lines?

101.A subway map key says a route keeps going in both directions and has no endpoints. Which description matches that figure?

102.On a map near the Hudson, Maple Street and Oak Street never meet, and the distance between them stays 12 meters. Which statement is true?

103.A walking path by the Hudson is 3 kilometers long. How many meters is that?

104.A bookshelf in the Albany library is 2 yards wide. How many inches wide is it?

105.A ferry cooler holds 6 liters of water. How many milliliters is that?

106.A crate of books sent to Buffalo weighs 2 kilograms. How many grams is that?

107.A subway ride from the library stop lasts 2 hours. How many minutes is that?

108.A painter has 5 gallons of paint for the library walls. How many quarts is that?