Massachusetts Comprehensive Assessment System Mathematics Grade 7

1.A walk-in cooler at a market in Chelsea is allowed to run only while −4x > 12, where x is the control setting. Which inequality describes every allowed value of x?

2.The width, in feet, of a concert stage on the Esplanade satisfies 5(x − 1) = 20. What is x?

3.A pizza stone at a shop in the North End is a circle with radius 4 inches. What is the area of the stone if pi is 3.14?

4.A mooring cable makes a circle of radius 4 feet around a buoy off Marblehead. How long is the cable if pi is 3.14?

5.A cranberry candle from a farm stand in Carver has a wholesale price of $50. The stand marks that price up by 20 percent. What is the selling price?

6.A facilities class in Leominster draws a school wall so that 1 centimeter on the paper stands for 6 meters of brick. The wall is 3 centimeters long on the paper. How long is the real wall?

7.At the Museum of Science in Boston, a cloth bag holds 12 counters, and 4 of them are red. One counter is drawn at random. What is the probability that it is red?

8.A drawbridge in New Bedford stops while two adjacent angles form a straight angle. One of them measures 65 degrees. What is the measure of the other?

9.A workboat may leave a Boston Harbor dock when the depth d, in feet, satisfies 2d + 6 ≥ 20. Which inequality gives every depth that works?

10.In a Pittsfield greenhouse, a fan runs while −5t < 20, where t is the number of hours after sunset. Which inequality gives every value of t that works?

11.A box office in Northampton keeps the remaining seat count r inside the rule r/4 ≤ 6. Which inequality gives every value of r that works?

12.A marker on the Mohawk Trail must satisfy −2e ≥ 18, where e is the elevation change in meters. Which inequality gives every value of e that works?

13.A library in Worcester accepts a fine of f dollars when 3f − 9 < 12. Which inequality gives every value of f that works?

14.The Provincetown ferry opens the gate when the waiting line w, in people, satisfies w − 8 > 15. Which inequality gives every value of w that works?

15.Plows in Lenox roll when a signed snow reading s satisfies −s/3 ≥ 4. Which inequality gives every value of s that works?

16.A class trip from Quincy stays on budget when 4x + 10 ≤ 42, where x is the price of one lunch in dollars. Which inequality gives every value of x that works?

17.A forecast desk on Nantucket uses −3y + 6 > 21, where y is a wind index. Which inequality gives every value of y that works?

18.Practice time at a boathouse on the Charles River follows 4x + 7 = 31, where x is the number of hours. What is x?

19.A pretzel order at a stand near Fenway Park satisfies 7x − 4 = 24, where x is the number of boxes. What is x?

20.A timber brace on a Salem wharf follows 9(x − 2) = 36, where x is a length in feet. What is x?

21.A loom schedule in Lowell uses (x + 5)/3 = 6, where x is the number of shifts. What is x?

22.A marker count on a trail in Concord satisfies 20 − 4x = 8. What is x?

23.The length, in feet, of a fishing net in Gloucester satisfies x/6 = 7. What is x?

24.A circular ice rink on the common in Stockbridge has radius 12 feet. What is its area if pi is 3.14?

25.A circular hedge around a statue in Springfield has radius 9 meters. How long is the hedge if pi is 3.14?

26.A round window in a cottage on Martha's Vineyard has diameter 6 inches. What is the area of the glass if pi is 3.14?

27.A circular reflecting pool in a Cambridge courtyard has diameter 22 feet. How long is the stone rim if pi is 3.14?

28.A circular utility cover on a street in Somerville has radius 2 feet. What is its area if pi is 3.14?

29.A Ferris wheel at a fair in Barnstable has radius 15 feet. How far does a rider travel in one full turn if pi is 3.14?

30.A round window in a meetinghouse in Sandwich has radius 8 inches. What is the area of the glass if pi is 3.14?

31.A circular track on a model railroad in Springfield has circumference 31.4 inches. What is the radius if pi is 3.14?

32.A circular sandbox at a park in Melrose has area 78.5 square feet. What is the radius if pi is 3.14?

33.A wool scarf at a shop in Adams is priced at $45. The shop takes 20 percent off that price. What is the sale price?

34.A model ship in a shop in New Bedford costs $45 before an 8 percent sales tax. What is the total cost?

35.A clam plate in Ipswich costs $36. How much money is a 15 percent tip on that plate?

36.A saver at a bank in Greenfield deposits $200 at 4 percent simple interest for 1 year. How much interest is earned?

37.A savings account in Fitchburg holds $150 at 6 percent simple interest for 2 years. How much interest is earned?

38.A student estimates that a stone wall in Lincoln is 48 feet long. The measured length is 40 feet. What is the percent error?

39.A kayak at a boatyard in Essex is priced at $240 and then marked up 10 percent. What is the selling price?

40.Before noon at a folk festival in Lowell, 30 percent of the 250 chairs were filled. How many chairs were filled?

41.On a ferry from Woods Hole, 12 of the 40 passengers bought a snack. What percent of the passengers bought a snack?

42.A trail counter near Dalton recorded 40 hikers on Monday and 50 hikers on Tuesday. What is the percent increase from Monday to Tuesday?

43.Supper at a chowder house in Rockport costs $28, and the diner adds a 20 percent tip. What is the total amount paid?

44.A poster at a gallery in Truro was $16 and is now $12. By what percent was the price reduced?

45.On a map of Cape Cod, 1 inch represents 8 miles. A hypothetical route between two Cape Cod towns is drawn as 2.5 inches. What actual length does that stretch show?

46.A bus leaves Boston toward Springfield at a steady 45 miles per hour. How far does it travel in 2 hours?

47.A bakery in Plymouth uses 4 pounds of cranberries for 6 pies. How many pounds are needed for 15 pies at that same rate?

48.A crew repainting benches along Boston Harbor uses 6 cans of paint for 15 benches. How many cans are needed for 25 benches at the same rate?

49.A rower on Lake Cochituate covers 4 miles in 36 minutes at a steady pace. How many minutes would that pace take for 7 miles?

50.A greenhouse in Hadley uses 4 liters of water for every 3 tomato plants. How many liters are used for 12 plants at that rate?

51.A commuter boat from Hingham to Boston charges $7 per ticket, and the cost is proportional to the number of tickets. What do 9 tickets cost?

52.A bike rental in Oak Bluffs charges by the hour with no flat fee. Which equation could relate hours x to cost y in dollars?

53.A printer in Waltham finishes 2/3 of a poster in 1/2 hour. At that rate, how many posters does it finish in 1 hour?

54.A lobster boat out of Menemsha burns 3/4 gallon of fuel in 1/2 hour. How many gallons does it burn per hour at that rate?

55.An architect's drawing of a chimney in Fall River uses 1 centimeter to represent 4 meters. The chimney will be 52 meters tall. How many centimeters tall is it on the drawing?

56.A commuter-rail train leaving South Station travels at a steady 36 miles per hour. How far does it go in 20 minutes?

57.The air over a bog in Wareham was −9 degrees Celsius before dawn and 4 degrees Celsius by midmorning. By how many degrees did the temperature rise?

58.A tide gauge in Scituate reads −6 feet relative to a dock mark, and then the water falls another 4 feet. What is the new reading?

59.A club in Taunton records a debt as −18 dollars and then collects 47 dollars at a bake sale. What is the new balance?

60.A lab at the University of Massachusetts in Amherst multiplies a factor of −15 by a factor of −3. What is the product?

61.A cold-storage room in Chicopee falls 84 degrees over 7 hours. If the total change is recorded as −84, what is the average change per hour?

62.A weather club in Orange evaluates the expression −3 × 4 + 5. What is the value?

63.A mill basement in Holyoke is 14 feet below street level, recorded as −14. How many feet is the basement from street level?

64.On a number line in a classroom in Belmont, one marker is at −2 and another is at 8. What is the distance between the markers?

65.A tide board in Wellfleet shows a morning mark of −9 and an afternoon mark of 4. How many units higher is the afternoon mark?

66.A workshop in Athol computes (−72) ÷ (−8). What is the quotient?

67.A baker in Shelburne Falls adds 3/4 cup of oats and then removes 1/2 cup. What is the net change in cups?

68.A fabric calculation in Beverly uses (−2/3) × (9/4). What is the product in simplest form?

69.A rigging loft in Marion computes (−5/6) ÷ (1/3). What is the quotient in simplest form?

70.Which of these integers lies between −4 and −1?

71.A game score in an arcade in Leominster changes by −8, then by 5, then by −1. What is the combined change?

72.A banner formula in Haverhill is −4(x + 3). Which expression is equivalent?

73.A supply list in Attleboro simplifies 6a + 2 − 4a + 5. Which expression is equivalent?

74.A packing expression at a warehouse in Westfield is 12x + 18. Which expression shows it factored by the greatest common factor?

75.A plan for raised beds in South Hadley uses 3(2x − 5) + 4. Which expression is equivalent?

76.A fence sketch in Lexington uses 7(x − 4). Which expression is equivalent?

77.A yard measurement in Arlington simplifies 5(2y) − 3y. What is the simplified expression?

78.A carpenter's square in a shop in Concord forms a right angle that is split by a brace. One of the resulting angles is 41 degrees. What is the other?

79.Scissors in a studio in Harvard Square open so that one angle is 72 degrees. What is the measure of the angle vertical to it?

80.Two adjacent angles on a straight curb in Revere measure x degrees and 2x degrees. What is the measure of the smaller angle?

81.A triangular sail measured at a loft in Mattapoisett has angles of 47 degrees and 68 degrees. What is the third angle?

82.Two angles that add to a right angle meet at a beam in Cohasset. One measures 33 degrees. What is the other?

83.A carnival wheel in Salem is split into 8 equal wedges, and 3 wedges are painted blue. What is the probability the wheel stops on blue?

84.Forecasters in Chatham say the chance of morning fog is 2/5. What is the chance the morning stays clear of fog?

85.At a booth at a fair in Agawam, a number cube labeled 1 through 6 is rolled twice. What is the probability that both rolls show 6?

86.A box in Medford holds 5 bottle caps, and 3 of them are red. A cap is drawn, replaced, and drawn again. What is the probability that both caps are red?

87.A lunch counter in the North End offers 3 soups and 4 kinds of bread. How many different soup-and-bread pairs can a customer choose?

88.A student in Brookline drops a thumbtack 40 times, and it lands point up 10 times. What is the experimental probability of point up, in simplest form?

89.A game designer in Malden tests values for a spinner. Which of these numbers can be a probability?

90.Five trail lengths near Mount Greylock, in miles, are 3, 7, 8, 4, and 8. What is the mean length?

91.Five afternoon temperatures in Edgartown, in degrees Fahrenheit, are 58, 62, 60, 71, and 64. What is the median?

92.Five classroom bins in Lawrence hold 12, 18, 15, 22, and 14 books. What is the range of the book counts?

93.Bus wait times in Hyannis, in minutes, were 14, 8, 12, 8, 15, 8, and 10. What is the mode?

94.A random sample of 25 students at a school in Everett finds that 15 pack a lunch. About how many of 200 students would be expected to pack a lunch?

95.Quahog counts from four flats in Duxbury are 4, 6, 8, and 6. What is the mean absolute deviation of these counts?

96.The mean number of mussels collected by a crew in Plymouth is 23, and the mean for a crew in Kingston is 15. How much greater is the Plymouth mean?

97.A shipping crate on a pier in Fairhaven is 8 feet long, 3 feet wide, and 2 feet high. What is its volume?

98.A community garden plot in Dorchester is a rectangle 12 feet long and 7 feet wide. What is its area?

99.A triangular pennant sold at a game in Foxborough has a base of 10 inches and a height of 6 inches. What is its area?

100.A closed gift box in Braintree is 5 inches long, 4 inches wide, and 2 inches high. What is its surface area?

101.A rectangular garden in Natick is 10 meters by 6 meters, and a rectangular shed covers a 4 meter by 2 meter section of it. What planted area remains?

102.A tent at a campground in Savoy is a triangular prism. Each triangular end has base 6 feet and height 4 feet, and the tent is 10 feet long. What is the volume?

103.A cylinder of beeswax at a shop in Harwich is cut by a plane parallel to its base. What shape is the cross section?

104.A water sample from the Quabbin Reservoir is recorded as the fraction 7/20. What is that fraction as a decimal?

105.A scientist in Nahant multiplies a tide correction of −2.4 by 1.5. What is the product?

106.On a blueprint of a boathouse in Falmouth, 4 centimeters represent 7 meters. How many meters do 12 centimeters represent?

107.A harbor crew in Winthrop writes an expression for 7 less than twice the number of buoys, b. Which expression matches that phrase?

108.A student in Deerfield wants a triangular garden with sides of 5 meters, 7 meters, and 11 meters. Can those lengths form a triangle?