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CTJan27 Online Year 7 Mathematics Practice Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Use the function table to find the value of y when .
 x y 1 5 2 1 3 –3 4 –7 5 ?
 a. –15 c. –11 b. 13 d. –12

2.

The table shows Pedro’s average time in the 1-mile run over the past several weeks of training. If the pattern shown in the table continues, what will his average time be during the fifth week of training?
 Pedro’s TrainingRecords (1-mile run) Week Average Time (minutes) 1 6:56 2 6:52 3 6:48 4 6:44 5 ?
 a. 6:36 c. 6:44 b. 7:11 d. 6:40

3.

The 8th graders are having a bake sale to raise money for their field trip to a water park. If they sell c cupcakes and b brownies at the prices shown below, then the amount of money raised is given by the expression . How much money will be raised if the 8th graders sell 66 cupcakes and 84 brownies?
 Bake Sale Prices Brownies 45¢ Cupcakes 35¢
 a. \$6,090 c. \$60.90 b. \$59.10 d. \$52.80

4.

Mary scored 15 points in her last basketball game, p of which came in the fourth quarter of the game. Write an expression that can be used to find the number of points she scored in the first 3 quarters.
 a. c. b. d.

The table below shows the costs of admission to a theme park. Individuals can purchase single-day passes or season passes that are good for the entire year. A family can also purchase a family season pass which is good for up to 4 people.
 Thrill Seeker Theme Park Daily Admission \$44 Season Pass \$335 Family Season Pass \$1,290

5.

Refer to the Thrill Seeker Theme Park table shown above. Luisa is trying to decide if it will be worth it for her family of 4 to purchase a family season pass or if they should each just pay the daily admission rate when they visit the park. How many times would the family need to visit the park in order realize any savings with the family season pass over the daily admission rate?
 a. 8 c. 7.3 b. 7 d. 3

6.

The organizers at an art exhibit charge vendors a \$200 booth rental fee plus 9% of the vendor’s profits earned during the exhibit. The total fee, F, charged of each vendor can be found using the equation , where p is the vendor’s profit. What is the fee for a vendor that earns a profit of \$1,450 during the exhibit?
 a. \$403.21 c. \$1,659.00 b. \$13,250.00 d. \$330.50

7.

A toy glider plane is launched from a height of 55 feet above the ground. If the plane descends at a constant rate of 0.7 feet per second, then its height, in feet, after s seconds can be found using the equation . Use the equation to find the height of the glider 18 seconds after it was launched.
 a. 72.3 feet c. 67.6 feet b. 42.4 feet d. 12.6 feet

8.

Use the function table to find the value of y when .
 x y –4 12 –3 9 0 0 2 ?
 a. 0 c. –3 b. 6 d. –6

9.

Write an equation that can be used to recreate the function.
 x y –1 4 2 –5 3 –8 4 –11
 a. c. b. d.

10.

A number problem states, “–2 times a number, minus 22 gives a result of 30.” What is the number?
 a. 7 c. –26 b. –37 d. –4

11.

The graph below shows the depth of a river after several days of heavy rain. Which term best describes the rate of change?
 a. linear c. an inverse variation b. nonlinear d. a direct variation

12.

The table below shows Heather’s earnings for working different numbers of hours. Which term best describes this relationship?
 Heather’s Earnings Hours Wages 1 \$8.25 2 \$16.50 3 \$24.75 4 \$33.00 5 \$41.25
 a. noncontinuous c. nonlinear b. a direct variation d. an inverse variation

13.

The ages of the people at a movie theater on a Thursday afternoon are shown in the box-and-whisker plot below. Which of the following statements is a correct interpretation of the plot?
 Ages of Movie Goers
 a. The youngest person at the theater is 7 years old. b. The mean age of the movie goers is 32 years. c. The oldest person at the theater is 55 years old. d. The median age of the movie goers is 48 years.

14.

What is the range of the masses shown in the box-and-whisker plot?
 Mass (grams)
 a. 25 g c. 35 g b. 50 g d. 69 g

15.

Suppose a pencil box contains 7 red pencils, 8 mechanical pencils, and 5 regular lead pencils. If you randomly select 1 pencil from the box, what are the odds in favor of selecting a mechanical pencil?
 a. 3 : 2 c. 2 : 5 b. 2 : 3 d. 5 : 2

A recruiter from a real estate company claims that the average monthly salary of their real estate agents is \$4,780. This is based on the five monthly salaries shown in the table.
 Average Monthly Income Agent Monthly Income(2004) Nikki \$3,900 James \$4,500 Jaime \$3,600 Beth \$8,200 Pat \$3,700

16.

Refer to the information above. What would be a more accurate representation of the typical monthly income earned by real estate agents at the company?
 a. The mode monthly income of \$4,500 gives an accurate expected monthly income. b. The mean monthly income of \$4,100 is a more accurate representation of what an agent working for the company can expect to earn. c. The median monthly income of \$3,900 is a more accurate representation of what agents can expect to earn. d. The mean provides an accurate representation of the typical monthly income.

17.

Claudia randomly interviewed 60 8th graders at the Westwood Mall Saturday afternoon to determine their reason for going to the mall. Based on the results of her survey, she made the following claim:
 Three out of five middle school students visit the mall to go shopping.
Explain why this claim is misleading.
 a. Claudia only interviewed students in the food court. b. Since Claudia surveyed only 8th graders, her sample is not representative of all middle school students. c. Claudia did not survey enough 8th graders to draw a valid conclusion. d. Claudia did not use a random sample of 8th graders.

Students in grades seven and eight at a local school were asked about the amount of homework they had each night. Their results are summarized in the bar graph below. The blue bars represent seventh grade, and the red bars represent eighth grade.
 Amount of Homework Done by Students in Seventh and Eighth Grades Less than 30 min 30 min to 1 hr 1 hr - 2 hr 2 hr - 3 hr More than3 hr

18.

Based on the bar graph above, what is the difference between the number of seventh-grade students and the number of eighth-grade students who had one to two hours of homework?
 a. 3 c. 17 b. 7 d. 20

The students in social studies class are studying immigration and learned that many immigrants changed their last name when they became naturalized United States citizens. The lengths of ten students’ last names are shown in the table below.
 Number of Letters in Students’ Last Names 10, 11, 9, 5, 5, 5, 5, 9, 9, 12

19.

Refer to the data above. What is the approximate mean number of letters in the sampled last names? Round your answer to the nearest whole number,
 a. 5 c. 7 b. 8 d. 9

20.

Suppose the spinner shown below is spun one time. What is the probability that the pointer will land on 1 or 2?
 a. c. b. d.

21.

In 40 tries on the spinner, Jayden spun a vowel 20 times. What is the theoretical probability of spinning a vowel? What is Jayden’s experimental probability of spinning a vowel? Express your answers as fractions.
 a. theoretical: , experimental: c. theoretical: , experimental: b. theoretical: , experimental: d. theoretical: , experimental:

22.

The scatterplot below shows the water temperature of a lake at different depths. Use the line of best fit to predict the temperature of the water at a depth of 60 feet.
 a. 40°F c. 50°F b. 78°F d. 60°F

23.

What three-dimensional figure will be formed when the net is folded?
 a. triangular prism c. sphere b. cone d. cylinder

24.

In the figure below, Trapezoid ABCD is similar to Trapezoid HIJK. What is the length of ?

 a. 10.5 units c. 15.8 units b. 13.7 units d. 4.7 units

25.

In the figure below, Line k is perpendicular to Line l. Based on the information given in the figure, find the measure of .
 a. 125° c. 135° b. 148° d. 45°

26.

Which of the following figures can be used as a basic unit to form a tessellation?
 a. c. b. d.

27.

What is the area of the rectangle in square units?
 a. 40 square units c. 64 square units b. 26 square units d. 80 square units

28.

Edward is creating a symmetric design using the coordinate grid below. What are the coordinates of the missing point that would result in a figure that is symmetric about the x-axis?
 a. (1.5, 5) c. (5, 1.5) b. (1.5, –5) d. (–5, 1.5)

29.

The coordinate grid shows the dimensions of a rectangular deck addition on a new home. If each unit on the grid represents 2 feet, what is the actual area of the deck?
 a. 126 square feet c. 252 square feet b. 63 square feet d. 309 square feet

Find the coordinates of the x-intercept of the line on the graph.

30.

 a. c. b. d.

The formula for the midpoint between two points is .

31.

Segment  has endpoints G(–6, 6) and H(–6, –7). What are the coordinates of the midpoint of ?
 a. (, ) c. (, ) b. (, ) d. (, )

32.

What is the circumference of a car tire that has a radius of 7 inches? Express your answer in terms of π.
 a. 14π inches c. 28π inches b. 49π inches d. 7π inches

33.

Which of the following figures could be the top view of a triangular prism?
 a. c. b. d.

34.

Which of the following shows the front view of the solid?
 a. c. b. d.

35.

A farmer plans to build a grain silo with a base circumference of approximately 78 feet. If the farmer decides to keep the silo the same height but scale the radius by 2, what will be the new circumference of the silo? Round your answer to the nearest tenth if necessary.
 a. 312 feet c. 78 feet b. 39 feet d. 156 feet

36.

The dimensions of the Titans’ rectangular practice field are 75 yards by 60 yards. If the dimensions of the field are each increased by 25 yards, how much more area will the Titans have in their practice field?
 a. 8,500 square yards c. 6,750 square yards b. 4,000 square yards d. 4,500 square yards

37.

A ladder has 8 rungs that are each spaced 8 inches apart. What is the length in feet from the base of the ladder to the top rung of the ladder? Round your answer to the nearest tenth of a foot if necessary.
 a. 7.9 feet c. 64 feet b. 192 feet d. 5.3 feet

38.

A scientist has designed a new part for a large machine. The part is shown below in a scale drawing.

What is the actual diameter of the hole through the part?
 a. 1.5 meters c. 3 meters b. 1.8 meters d. 0.8 meter

39.

A student exercises for 40 minutes per day. After exercising for five days, approximately how many seconds has the student exercised?
 a. 12,000 c. 1,200 b. 3.3 d. 200

40.

The table below shows the daily high temperatures during a week in Bismarck, North Dakota. What was the coldest day of the week?
 Day Temperature Monday 0°F Tuesday 0°F Wednesday –7°F Thursday 1°F Friday –5°F Saturday 1°F Sunday –2°F
 a. Tuesday c. Monday b. Wednesday d. Sunday

41.

The time it takes to send a packet of information from one computer server to another computer server is measured in milliseconds. Which of the following measurements represents the shortest amount of time?
 Time (seconds) 0.205 0.201 0.203 0.206
 a. 0.206 seconds c. 0.201 seconds b. 0.205 seconds d. 0.203 seconds

42.

A construction worker calculates the length of a cross beam to be  inches. Express this measurement in simplest form.
 a. c. b. d.

43.

Of the 25 students in Benjamin’s homeroom, 6 speak a second language in addition to English. Express the ratio of students who speak a second language to the whole class as a percentage. Round to the nearest tenth of a percent if necessary.
 a. 80.6% c. 24% b. 416.7% d. 19.4%

44.

Simplify the expression .
 a. c. b. d.

45.

When an integer less than –1 is divided by a negative decimal greater than –1, which of the following best describes the result?
 a. less than the integer c. the original integer b. between 0 and 1 d. greater than the integer

46.

Of the choices provided, which number is located between Points C and D on the number line pictured below?
 a. –4 c. 1 b. 8 d. –8

The speed of light and sound are shown in the table.
 Speed Light meters per second Sound feet per second

47.

Refer to the table above. At this speed, how far will light travel in 12 seconds? Express your answer in scientific notation.
 a. meters c. meters b. meters d. meters

48.

Which of the following should be done first in the expression below?
 a. 5 ¸ 10 c. 10 + 3 b. 3 ´ 12 d. 5 ¸ 12

49.

A company that sells compact discs gives customers a discount of 8% if they purchase 5 or more items. If the original price of each item is \$10.99, to the nearest cent, how much will a customer pay for 5 items?
 a. \$10.11 c. \$0.88 b. \$50.55 d. \$4.40

A Scout Troop is taking a hike along the Appalachian Trail. Their goal is to go 130 miles. The past few days, the troop has hiked 16.7 miles, 17.7 miles, and 19.9 miles.

50.

Refer to the information above. After today’s hike, the troop will have 53.3 miles more to go. How many miles did the troop hike today?
 a. 22.4 miles c. 75.7 miles b. 53.3 miles d. 107.6 miles

Numeric Response

The local telephone company charges a monthly fee of \$12.00 and \$0.10 for each minute the telephone is used. The equation to determine the total cost, C, for the telephone service in a month is , where m represents the number of minutes the telephone is used.

1.

Refer to the information above. What will the monthly charge be for a customer who used the telephone for 45 minutes in one month? Express your answer as a decimal in dollars and cents.

2.

The speed limits on various highways around Jefferson City are shown in the table below.
 Speed Limits AroundJefferson City Highway Speed Limit(mph) 33 50 90 65 190 55 219 55 290 55
What is the mode of the speed limits?

3.

A display at a pet store has 20 kittens; 10 of them are black. If one kitten is selected at random from the display, what is the probability that the kitten selected will NOT be black? Express your answer as a fraction in lowest terms.

In Parallelogram ABCD,  units,  units,  units, and .

4.

Refer to Parallelogram ABCD shown above. What is the length, in units, of ?

5.

The distance from Paul’s house to school is 380 meters. Last week he rode his bike to school and back home each day. How many kilometers did he ride his bike during the 5 day period?

6.

The box that a model airplane came packaged in says that it is a -scale model. If the length of the model airplane is 2.3 feet, what is the length, in feet, of the actual airplane? Round your answer to the nearest tenth if necessary.

7.

The ladder leading up to the high diving board at a community swimming pool has 12 rungs that are each 10 inches high. If the top rung is at the same height as the diving board, how many feet above the water is the high diving board? Round your answer to the nearest tenth if necessary.

8.

Of the 20 players on Coach Ortiz’s baseball team, 6 will be graduating after the season and 14 will be returning next year. Express the portion of this year’s players who will be returning next year as a decimal. Round your answer to the nearest thousandth if necessary.

9.

What is the population density, in people per square mile, of Ohio? Round your answer to the nearest tenth if necessary.
 Population Densities (2000) State Population Area(square miles) Alaska Florida Ohio New Mexico South Carolina Source: www.netstate.com