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Mathematics

Minnesota 1997 Basic Standards practice test
Minnesota Department of Children, Families & Learning

General directions

Each question is followed by several possible answers. For each question, choose the ONE answer that you think is best and then click on that answer. The first eight questions are estimation questions and are to be answered without using a calculator. Calculators may be used on the other questions. Your score will be recorded and at the end of the test, you will learn your score and the correct answers to questions you missed. A passing score is 75 percent. Some questions require use of formulas or a ruler. Click on the links accompanying those questions for access to the formulas or the ruler.

  

1. The fuel cost of driving a truck is about 12 cents a mile. Approximately how much does it cost to drive a truck 96 miles?

    

$ 0.90

$ 6.00

$ 8.00

$12.00

This drawing shows the city boundaries of Dalmar

  

2. Estimate the area inside the city boundaries from the diagram. Each square equals one square mile.
Formula Sheet

   

10 square miles

20 square miles

30 square miles

40 square miles

  

3. The height of most eighth-grade boys is about ...
Ruler

   

1.6 meters.

16 meters.

160 meters.

1600 meters.

  

4. Sergyi is buying a car and takes out a loan to make 45 monthly payments. About how long will it take him to finish paying for the car?

   

3 years

4 years

4 1/16 years

45 years

  

5. Carla's daily workout at a gym lasts for 30 minutes. She looks at her watch and sees that she has exercised for 9 minutes. About what fractional part of her workout has she completed?

   

4/5

1/3

3/12

1/9

  

6. A regular can of pop holds about ...

   

1 ounce.

1 pint.

1 quart.

1 gallon.

  

7. The problem shown below has been solved on the calculator but the decimal point is missing.
98.23 divided by 5.2 = 18890385
Estimate to choose the correct answer.

   

1.8890385

18.890385

1,889.0385

18,890.385

  

8. A gallon of asphalt paint will cover about 250 square feet of surface area. This is sold in gallon cans only. About how many gallon cans are needed to paint a driveway with an area of 490 square feet?

   

2 gallon cans

3 gallon cans

250 gallon cans

480 gallon cans

  

9. Helen made the following deposits into her bank account: $12.00, $10.60, $35.18. What is the total of the deposits?

   

$35.18

$45.78

$57.78

$59.78

  

10. Jacinta's mother bought 2 1/2 feet of gold chain at $21.98 a foot. How much did she pay for the chain?

   

$5.50

$24.48

$43.96

$54.95

  

11. Stuart drove 93 miles and used 3.75 gallons of gas. How many miles per gallon did he get?

   

18.5 miles per gallon

19.6 miles per gallon

21.5 miles per gallon

24.8 miles per gallon

  

12. The local sports shop gives team players a 20% discount on equipment. Mike bought a tennis racket that regularly sells for $23.50. How much did Mike pay for the racket on sale, not including sales tax?

   

$3.50

$4.70

$11.75

$18.80

Read Questions 13-16. Then choose the answer that makes the most sense in each of the blanks shown below.

Washington Middle School has about ______ students and ______ teachers. They held their fall Parent-Teacher conference on November ______. The conference started at ________

  

13. The best answer for blank 1 is

   

5th

8:00

600

30

  

14. The best answer for blank 2 is

   

5th

8:00

600

30

  

15. The best answer for blank 3 is

   

5th

8:00

600

30

  

16. The best answer for blank 4 is

   

5th

8:00

600

30

  

17. How many hours did Sarah sleep if she went to bed at 9:00 p.m. and woke up at 7:00 a.m.?

   

2

9

10

7

  

18. Using the ruler on the page marked 'ruler' below, measure the length of the pencil in the picture and pick the answer which is closest to your measurement.
Ruler

   

3 inches

3 1/2 inches

4 inches

4 1/2 inches

Johnson school had an "Olympics Day." The following chart shows the number of students in various events for each grade.

Event

Number of Contestants

Grade 7

Grade 8

Grade 9

Rope Skipping

16

10

6

High Jump

8

14

18

100-Meter Dash

10

22

20

Shot Put

10

14

16

  

19. How many eighth-graders entered in the events?

   

50

58

60

70


Joe measured temperatures at various times of the day. A graph of his temperature information is given above.

  

20. Using the graph of Joe's information, how much did the temperature fall between 1 p.m. and 3 p.m.?

   

6

2

8

9

  

21. You have two tickets in a school raffle. There are 600 tickets altogether in the raffle. If one ticket is drawn, what is the probability that it will be one of your tickets?

   

one out of 600

two out of 600

two out of six

600 out of two


In the spinner game you win if you spin an odd number, and you lose if you spin an even number.

  

22. What is the probability of winning? (read text at left below the spinner first)

   

1 out of 4

5 out of 15

3 out of 4

2 out of 4


After Anne connected the tips of the tentacles of this picture of a starfish, she got the dotted-line drawing.

  

23. What is the name of the figure she drew? (read text at left below the diagram first)

   

quadrilateral

hexagon

octagon

pentagon


Figure 1


Figure 2


Figure 3


Figure 4

Angelo saw the figures above on his way to school.

  

24. In which figure did he see the shape of a pyramid?

   

Figure 1

Figure 2

Figure 3

Figure 4

  

25. How many ribbons 2/3 yards long can be cut from 3 1/2 yards of ribbon?

   

4/21 ribbons

2 1/2 ribbons

3 5/6 ribbons

5 1/4 ribbons

  

26. How many students are going on a field trip if 2/3 of the 690 students are participating in the field trip?

   

230 students

345 students

460 students

500 students

  

27. Andrea spent $4.50 out of an allowance of $15.00. What percent of her allowance did she spend?

   

0.3%

3.3%

30%

33%

  

28. Sam can run 1000 yards in 4 minutes. At the same rate, how long will it take him to run 2250 yards?

   

1.7 minutes

7.5 minutes

9 minutes

12 minutes

  

29. Maria needed to fix a 3-inch by 4-inch rectangular area on the bathroom floor. How many 1-inch square tiles will she need?
Formula Sheet

   

6

7

12

14


This speedometer shows the speed at which Helen's car is traveling.

  

30. How many miles per hour faster must she go to be traveling 65 miles per hour? (read text at left below the speedometer first)

   

20 miles per hour

45 miles per hour

65 miles per hour

25 miles per hour


The circle graph shows how every dollar could be spent from the family budget.

  

31. How much money is spent for clothing out of every dollar of income?

   

$1.00

10 cents

1 cent

156 cents


Helen measured temperatures at various times of the day and night.

  

32. Helen's graph shows that the hottest time of the day was:

   

4 a.m.

10 a.m.

6 p.m.

4 p.m.

  

33. School cooks at Central Middle School know that when pizza is served, 3 out of 5 students eat hot lunch. Pizza is being served for hot lunch today. If 200 students are in school today, about how many students will eat pizza?

   

about 40 students

about 100 students

about 120 students

about 150 students

DAY
TEMP
Monday
58 degrees
Tuesday
73 degrees
Wednesday
57 degrees
Thursday
69 degrees
Friday
83 degrees

John took the following temperature readings

  

34. What was the average (mean) temperature for this period?

   

57 degrees

68 degrees

59 degrees

83 degrees



Joe is standing at the corner of Green Street, Deli Street, and Main Street.

  

35. The shortest distance for Joe to take to school would be ...

   

along Green Street.

along Main Street.

Along Deli Street.

along Main and Deli Streets.


Figure 1


Figure 2


Figure 3


  

36. Henry cut three pairs of triangles in Industrial Technology class. Which of the following pairs of triangles are not congruent?

   

Figure 1

Figure 2

Figure 3

They are all congruent.

  

37. Ping pong balls are packed in boxes each containing 12 balls. The boxes are packed in crates containing 12 boxes. If a sports store orders 100 crates, how may ping pong balls will it receive?

   

1,200 balls

1,440 balls

12,000 balls

14,400 balls

  

38. The temperature on Sunday was 12 degrees. Monday the temperature was -8 degrees. How much colder was Monday?

   

4 degrees

6 degrees

20 degrees

30 degrees

  

39. The population of Friendly City is 150% of what it was 10 years ago. If its population was 25,000, what it its population now?

   

29,500

35,500

36,600

37,500

  

40. Since 1932, no batting champion has had an average over .400 except Ted Williams in 1941. How many hits must a player have to achieve an average of .400 if he has been at bat 550 times?

   

137 hits

220 hits

250 hits

400 hits

  

41. Information from a bottling plant showed that 0.5% of their bottles are flawed. What decimal portion is this?

   

0.005

0.05

50

500

  

42. Barb measured a line segment starting at zero. It measured 7/16 inch. Which mark on the ruler was it closest to?
Ruler

   

1/4 inch

1/2 inch

3/4 inch

1 inch

  

43. Which unit of measurement would be most appropriate if you were to measure an angle?

   

degrees

inches

pounds

feet



Farmer Bill is fencing in the corner of his yard as shown in the picture.

  

44. How much fencing will he need? (read text at left first)
Formula Sheet

   

9 yards

10 yards

12 yards

24 yards

Menu

Hamburger    $.85Milk    $.20
Hot Dog    $.70Soft Drink    $.15
Grilled cheese    $.55
sandwich
Milk Shake    $.45
French Fries    $.40Ice Cream    $.40
  

45. Sue had a hot dog, french fries, and milk. How much did she spend (not including sales tax)?

   

$1.20

$1.30

$1.40

$1.50



 

The students in Mrs. Smith's class made a chart to show how they come to school. Each student made a mark beside the word to show how he or she comes to school.

  

46. Sally is a student in Mrs. Smith's class. Which one of the following statements is correct? (read text at left first)

   

It is more likely that Sally rides a bike than that she walks to school.

It is more likely that Sally walks than that she takes the bus to school.

It is more likely that Sally takes the bus than that she walks to school.

It is more likely that Sally rides her bike than that she takes the bus to school.


Read the text below, then answer Questions 47-48.

 
A real estate agent surveyed the market values on 5 houses in a city block as listed below
House A:  $ 73,000
House B:  $100,000
House C:  $ 50,000
House D:  $ 62,000
House E:  $ 65,000
  

47. Find the median market value of the houses listed.

   

$50,000

$65,000

$70,000

$80,000

  

48. Find the mean market value of the houses listed.

   

$50,000

$65,000

$70,000

$80,000



 

Sally has made a cake (as shown above) and frosted the top and all sides but not the bottom of the cake. She cuts the cake into 9 pieces

  

49. How many pieces are frosted only on one side? (read text at left below the cake first)

   

1

2

4

6


  

50. Which geometric figure has a shape most like a baseball?

   

cone

cylinder

pyramid

sphere

  

51. Sally is 65 3/4 inches tall. Jake is 64 1/2 inches tall. How much taller is Sally?

   

3/4 inch

1 1/4 inches

1 1/2 inches

1 3/4 inches

  

52. XYZ stock sold for 13 1/8 on the stock market. The stock went up 3 1/2 points. What does the stock sell for now?

   

16 1/16

16 2/10

16 2/16

16 5/8

  

53. Jackie bought a CD for $11.50. The sales tax is 6%. How much did Jackie pay for the CD, including sales tax?

   

$10.74

$11.79

$12.19

$20.15

  

54. 1,700 trees grew when 2,500 were planted. What percent of the planted trees grew?

   

14.8%

47%

56%

68%



The graph above shows the attendance for the school year of two groups of students.

  

55. About how many days were the students in Group A in attendance? (read text at left below the graph first)

   

50 days

60 days

100 days

150 days

Four boys measured their height.
 
Julio was 1.66 meters
Yang was 155 centimeters
Leonard was 1.7 meters
Sam was 160 centimeters
  

56. Which boy was the tallest?
Ruler

   

Julio

Yang

Leonard

Sam

  

57. Spooner township is 6 miles long and 6 miles wide. What is the area of the township?

   

12 square miles

6 square miles

24 square miles

36 square miles

  

58. A car is 4 meters long. The car is _____ millimeters long?

   

400 millimeters

3600 millimeters

4000 millimeters

8000 millimeters

Sam earned money by baby-sitting during the summer. The graph above shows how much he earned and spent for 4 weeks.

  

59. According to the graph, during which week did Sam spend more than he earned?

   

first week

second week

third week

fourth week

AIRPORT
JAN
FEB
MAR
APR
MAY
JUN
TOTAL
BAY CITY
9
3
5
7
2
4
30
CAMDEN
6
8
1
5
8
2
30
DOOVER
8
5
9
6
6
3
37
FISKE
5
6
6
1
3
7
28
GRANGE
1
2
3
6
7
10
29
TOTAL
29
24
24
25
26
26
154
  

60. How many passengers used the Grange airport for the six months shown in the table? (Please note that numbers in the chart show hundreds of passengers.)

   

29

290

2900

29000

  

61. John's bowling scores were: 106, 203, and 171. What was his average (mean) for the 3 games?

   

160

170

477

480

  

62. John has nine socks in his drawer. Four of the socks are blue and five are white. If he reaches into the drawer without looking, what is the probability that he will pick a white sock?

   

5 out of 9

4 out of 4

9 out of 9

6 out of 9


Figure 1

Figure 2

Figure 3

Figure 4


A picture of a new bank building.

  

63. If you were to look at the figure at left from the air, then you would see a building that looks like which one of the following figures above.

   

Figure 1

Figure 2

Figure 3

Figure 4

  

64. The school cook bought 89 pounds of hamburger at $1.46 a pound. What was the total bill?

   

$57.00

$90.46

$129.94

$146.00

  

65. Dora traveled 20 miles in one hour. How many miles did she travel in 4 hours?

   

4 miles

5 miles

80 miles

100 miles


  

66. Betty had 40,000 cubic centimeters (cc) of water. How many tanks like this can she fill?
Formula Sheet

   

1/2

1

1 1/2

2



  

67. If a total of 400 students eat lunch, how many go home for lunch?
Formula Sheet

   

25

100

200

300

    
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