For my lovely son!

WordAhead widget

 

Monday, August 6, 2007

ISAT Mathematics Grade 8 Sample Items

http://web.archive.org/web/20040409094807/http://electron-net.eztest.eppg.com/ISBE/2003/grade8math/

ISAT Mathematics Grade 8 Sample Items

Reporting Sets of Illinois Standards for Mathematics
1. Estimation/Number Sense/Computation
Illinois Learning Standards 6A, 6B, 6C, 6D, 8C
2. Algebraic Patterns and Variables
Illinois Learning Standards 8A, 8D
3. Algebraic Relationships/Representations
Illinois Learning Standard 8B
4. Geometric Concepts
Illinois Learning Standard 9A
5. Geometric Relationships
Illinois Learning Standards 9B, 9D
6. Measurement
Illinois Learning Standards 7A, 7B, 7C
7. Data Organization and Analysis
Illinois Learning Standards 10A, 10B
8. Probability
Illinois Learning Standard 10C

All questions have only one correct answer. Click the button at the bottom of this page to have your responses scored.

There are 55 sample items.


1. A square garden measuring 8 feet on a side is surrounded by a 1-foot-wide path.
Picture

What is the area of the path?

Reporting Sets - 1, 6

8 square feet
9 square feet
28 square feet
36 square feet
64 square feet


2. Michael has a bag of 300 marbles. He randomly pulls out 15 marbles and finds that 4 are purple.

Of the original 300 marbles, about how many should Michael expect to be purple?

Reporting Sets - 1, 2, 8

20
40
60
80
120


3. Which shows the number 34,600,000 written in scientific notation?

Reporting Set - 1

346 x 105
34.6 x 106
3.46 x 107
3.46 x 10-7
0.346 x 10-8


4. The Burger Shop offers hamburgers fixed 5 different ways. They also offer French fries, tater tots, onion rings, and fried mushrooms as side orders.

How many different combinations of one hamburger and one side could be offered?

Reporting Sets - 1, 8

2 combinations
6 combinations
9 combinations
20 combinations
25 combinations


5. What is the approximate length of the hypotenuse of an isosceles right triangle where side x = 12 centimeters?

Reporting Sets - 1, 4

Picture
About 9 centimeters
About 12 centimeters
About 17 centimeters
About 24 centimeters
About 30 centimeters


6. Misty is working in a store. A customer gives her $22.00 to pay for $21.55 worth of groceries.

What is the correct change she should give the customer using the fewest coins possible?

Reporting Sets - 1, 6

1 nickel, 1 quarter
2 nickels, 1 quarter
1 dime, 1 quarter
2 dimes, 1 quarter
4 nickels, 1 quarter


7. On the number line below, where is - located?

Reporting Set - 3

Picture
Between A and B
Between B and C
Between C and D
Between D and E
Between E and F


8. Find the measure of X.

Reporting Sets - 1, 4, 5

Picture
36°
45°
72°
81°
97°


9. HIJ is similar to STR.
Picture

What is the perimeter of STR?

Reporting Sets - 2, 5, 6

32
37
40
42
120


10. A bag contains 3 red marbles, 4 blue marbles, and 2 green marbles.

If John picks a marble from the bag without looking, what is the probability it will be red or blue?

Reporting Set - 8







11. Below are Matt's test scores for 1st and 2nd quarters.
Picture

Which statement is true about the data?

Reporting Sets - 1, 7

The 1st quarter mean score is higher than the 2nd.
The 1st quarter mode score is higher than the 2nd.
The modes of each quarter's scores are equal.
The means of each quarter's scores are equal.
The 2nd quarter mean score is higher than the 1st.


12. Which describes the statement, "two dollars is at least enough to buy 3 stamps and a $0.50 postcard"?

Reporting Set - 3

2 ≤ 3s - .50
2 ≥ 3s + .50
3s = 2 + .50
3s + .50 > 2
3s < .50


13. Carmen has a custard recipe that requires 6 eggs, 1 cup of sugar, 3 cups of milk, and 1 teaspoon of vanilla. However, she has only 4 eggs. She decides to adjust the recipe accordingly.

How much milk will she need?

Reporting Sets - 1, 2

1 cup
1 cups
2 cups
3 cups
4 cups


14.

What is the measure of ∠SRT?

Reporting Sets - 1, 4, 5

148°
140°
135°
90°
45°


15. Which figure below will result if triangle FHI is reflected across the y-axis?

Reporting Set - 5

Picture
Picture

Picture

Picture

Picture

Picture


16. How many different ways are there to travel from Mason to Jackson if travel is allowed only in the direction of the arrows shown in the drawing?

Reporting Sets - 7, 8

Picture
3 ways
5 ways
12 ways
13 ways
21 ways


17. For her school newspaper, the editor has a photo that has a height of 4" and a width of 6". She needs to enlarge the picture proportionally to fit a space with a height of 7".

What will the new width be?

Reporting Sets - 1, 2

17"
14"
11"
10"
4"


18. Jill plans to put ribbon around the rim of a pot and attach a bow onto the ribbon. The bow itself will take 18 inches of the ribbon.
Picture

What is the least amount of ribbon needed for one pot if the pot is 8 inches in diameter?

Reporting Sets - 1, 6

About 18 inches
About 44 inches
About 56 inches
About 96 inches
About 144 inches


19. Jessie runs at a constant rate of 7 meters per second. At the beginning of a race, she is 350 meters from the finish line.

How long will it take Jessie to reach the finish line?

Reporting Set - 1

40 seconds
50 seconds
60 seconds
100 seconds
400 seconds


20. The perimeter of a square is 60 cm.

How long is one side of the square?

Reporting Sets - 1, 4, 6

20 cm
15 cm
12 cm
10 cm
6 cm


21. Mr. Jordan has 36 feet of fencing to make an exercise area for his dog.

What should the dimensions of the rectangular region be in order to produce the largest possible area for the dog?

Reporting Sets - 1, 6

5 feet by 13 feet
6 feet by 12 feet
7 feet by 11 feet
8 feet by 10 feet
9 feet by 9 feet


22. The average life span of a person is 72 years.

If about 9 of these years are spent eating, approximately how many years has a 16-year-old person spent eating already?

Reporting Sets - 1, 2

6 years
5 years
4 years
3 years
2 years


23. An airplane flying at an altitude of 32,000 feet descends at a rate of 1,300 feet per minute.

If the plane descends for 15 minutes, what would its altitude be in feet?

Reporting Sets - 1, 2

10,000 feet
12,500 feet
19,000 feet
19,500 feet
30,200 feet


24. During what 10-year period did automobile sales increase the most?

Reporting Set - 7

Picture
1940-1950
1950-1960
1960-1970
1970-1980
1980-1990


25. Determine the measure of angle G.

Reporting Sets - 1, 2, 4

Picture
10°
40°
50°
60°
70°


26. A bag contains 50 cards numbered from 1 to 50.

Without looking, what is the probability of drawing a card that is numbered with a multiple of 5?

Reporting Sets - 1, 8







27. A training ring for horses is an oval that is made from a rectangle with 2 semi-circles on each end.
Picture

If the entire ring is to be fenced in, what is the minimum amount of fencing needed?
(Round your answer to the nearest foot.)

Reporting Sets - 1, 2, 6

77 feet
90 feet
138 feet
154 feet
191 feet


28. Which graph represents the solution to the following inequality? (x is a real number.)
x + 3 ≤ 7

Reporting Sets - 2, 3







29. The shaded surface of this access ramp will be covered with all-weather carpet.
Picture

Find the area of the carpet needed.

Reporting Sets - 2, 4, 6

12 sq ft of carpet
32 sq ft of carpet
40 sq ft of carpet
48 sq ft of carpet
96 sq ft of carpet


30. A parking garage charges $1.50 for the first hour and $0.75 for each additional hour or part of an hour.

How much will it cost to park in the garage for 6 hours?

Reporting Sets - 1, 2

$ 5.63
$ 6.00
$ 6.38
$14.63
$15.75


31. Mr. Brown makes $350 a week.
How Mr. Brown
Spends His Money Each Week

Picture

How much money does he spend on entertainment each week?

Reporting Sets - 1, 2, 7

$13.00
$42.00
$45.50
$87.50
$98.00


32. The table shows the results of the Spirit Week Survey.
Picture

Estimate the probability of an 8th-grade student voting yes.

Reporting Sets - 1, 7, 8

About .53
About .45
About .36
About .21
About .11


33. The measures of the angles of a triangle are 3x, 2x - 10, and 3x + 30 degrees.
Picture

What is the difference between the measures of the largest and the smallest angles of the triangle?

Reporting Sets - 1, 2, 4

25°
30°
60°
90°
120°


34. The chart lists exam scores for five students. All exam scores have a possible 100 points.
Picture

What score does Cathy need on a fifth exam to have an average score of exactly 90?

Reporting Sets - 1, 2, 7

90
92
94
96
98


35. If the first coordinate of an ordered pair is zero, such as (0, 4), (0, 6), and (0, 8), then the line connecting two such points is ____________________.

Reporting Sets - 3, 4

a vertical line
a horizontal line
a diagonal line
a curved line
a pair of intersecting lines


36. Clifton runs 100 meters in 30 seconds at track practice.

If he maintains this constant rate, how long will it take him to run 1 kilometer?

Reporting Sets - 1, 6

3 minutes
5 minutes
10 minutes
30 minutes
300 minutes


37. Which table satisfies the following equation?
y = 3 - x

Reporting Sets - 1, 3







38. Which path describes Celia's bike trip if Celia rode slowly at first and gradually increased her speed?

Reporting Set - 3







39. Find the value of x.

Reporting Sets - 1, 2, 4

Picture
83
59
54
14
10


40. A coat that regularly costs $152.98 is on sale for 25% off. The sales tax is 8%.

What is the total cost of the coat?
(Round your answer to the nearest dollar.)

Reporting Sets - 1, 2

About $ 40
About $115
About $120
About $124
About $140


41. Josh's baseball card collection went up in value by approximately 50%. It is now worth about $225.

Determine the approximate value of his card collection before this increase.

Reporting Sets - 1, 2

$100
$110
$150
$400
$450


42. The Washington Monument is 555 feet tall. For a class project, Tom is making a scale model of the monument to place in the front hall display case. The display case is 24 inches tall.

Which scale allows him to make the tallest model that will fit in the display case?

Reporting Sets - 1, 6

1 inch = 10 feet
1 inch = 15 feet
1 inch = 17 feet
1 inch = 20 feet
1 inch = 25 feet


43. Determine the measure of angle x.

Reporting Sets - 1, 2, 4

Picture
10°
35°
55°
145°
155°


44. Luke wants to buy a CD player that costs $56 including tax. He gets $10 a week for his allowance. He spends $3.50 a week and saves the rest.

What is the fewest number of weeks it will take him to save enough money to buy the CD player?

Reporting Sets - 1, 2

6 weeks
7 weeks
8 weeks
9 weeks
10 weeks


45. Calculate the surface area of the cube below.

Reporting Sets - 1, 4, 6

Picture
3.375 cm2
4.5 cm2
6.75 cm2
9 cm2
13.5 cm2


46. Mark plans to put a circular garden in front of the school. The garden has a diameter of 18 feet. He needs to cover the garden with peat moss. Each bag of peat moss can cover 150 square feet.

How many bags does he need?

Reporting Sets - 1, 6

1 bag
2 bags
3 bags
4 bags
5 bags


47. The volume of this box is 288 cubic cm, and the height is 4 cm. The length is triple the height.
Picture

Find the width (w).

Reporting Sets - 1, 2, 6

6 cm
8 cm
10 cm
12 cm
24 cm


48. XYZ is similar to RST.
Picture

What is the length of ?

Reporting Sets - 1, 2, 5

5 cm
7.5 cm
8 cm
9 cm
10 cm


49. Which would result in the largest number?

Reporting Set - 1

102 + 302
104
19 x 21 + 29 x 31
25 x 36
402


50. Estimate the area of the shaded region.

Reporting Sets - 1, 4, 6

Picture
About 84 m2
About 78 m2
About 31 m2
About 21 m2
About 9 m2


51. Lines m and n are parallel.
Picture

Which angles are all congruent to angle 1?

Reporting Sets - 4, 5

2, 4, 6
3, 5, 7
4, 5, 6
6, 7, 8
8, 4, 1


52. As Stephen walks home he walks by an empty rectangular field. He can either walk across the field diagonally or walk the length and width.
Picture

About how much shorter is the walk diagonally through the lot?

Reporting Sets - 1, 4

About 141 feet
About 200 feet
About 279 feet
About 420 feet
About 721 feet


53. What is the median low temperature for these cities?
Temperature Ranges
CityHighLow
Chicago84°63°
Cincinnati88°67°
Denver89°58°
Philadelphia93°75°
Tuscon106°77°

Reporting Set - 7

58°
67°
75°
89°
92°


54. The circle graph represents the car sales of five different people.
Picture

Which person accounted for about 25% of the sales?

Reporting Set - 7

Kim
Lee
Max
Sue
Tony


55. Assuming all sections are equal in size, what is the probability of the spinner stopping on a blue section?

Reporting Set - 8

Picture
1 out of 3
2 out of 8
3 out of 5
3 out of 8
5 out of 8

Prepared by: McGraw-Hill for ISBE

Illinois State Board of Education

No comments: