everglades k12 florida mathematics standards …2014/03/13 · everglades k 12 florida mathematics...
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Everglades K12 Florida Mathematics Standards Grade 6 Pretest
Do not photocopy this page. It’s the law! page 8
Pretest
Select the best answer for each Multiple Choice question. Grid your answers to the Gridded Response questions.
1. Which number sentence does the number line model shown below represent?
A. 4 •
�
14 = 4
B. 3 •
�
14 =
�
64
C. 3 •
�
24 =
�
64
D. 4 •
�
14 = 1
2. What is
�
56 ÷
�
29 ?
F.
�
527
G. 3
�
34
H.
�
59
I.
�
910
3. Will jogged 4 miles in 40 minutes. At this rate how far can Will jog in one hour?
A. 4.5 miles B. 6 miles
C. 5 miles
D. 5.5 miles
4. Gridded Response
How many
�
14‐pound hamburgers
can be made from 5
�
34 pounds of
meat?
0 14
24
34
1 54
64
74
2
Everglades K12 Florida Mathematics Standards Grade 6 Pretest
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5. Gridded Response
At a baseball game, a vendor sells hot dogs for $2.75 each and drinks for $1.55 each. The expression below can be used to determine the total cost, in dollars, for h hot dogs and d drinks.
2.75h + 1.55d
What would be the total cost, in dollars, of 4 hot dogs and 3 drinks?
6. Sam ran for
�
45 the length of time
that James ran. If James ran m minutes, how long did Sam run?
F. m +
�
45
G.
�
45m
H. m –
�
45
I. m ÷
�
45
7. Which inequality is represented by the graph shown below?
A. x + 5 < 10
B. x – 5 > 10
C. x + 5 = 10 D. x – 5 < 5
8. The function rule 2x – 6 has an output of 12. What steps are used to find the input?
F. multiply by 2, then add 6
G. divide by 2, then add 6 H. add 6, then divide by 2
I. subtract 6, then multiply by 2
9. Rachel invested $3,200 for 2 years at 2.5% simple interest. How much interest did she earn in 2 years?
A. $80 B. $160
C. $320 D. $800
! "# $ %
Everglades K12 Florida Mathematics Standards Grade 6 Pretest
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10. Which expression is equivalent to (3 + x) + 5?
F. 3 + (x + 5)
G. 3x + 5 H. 3(x + 5)
I. 3 + 5x
11. A rectangle is 5 meters longer than it is wide. Use the table below to find the width of rectangle that has a length of 16.
A. 6
B. 7
C. 8 D. 11
12. A circular hula‐hoop has a diameter of 28 inches. What is the circumference of the
hula‐hoop? Use
�
227 for
�
π .
F. 154 inches
G. 88 inches H. 44 inches
I. 22 inches
13. Gridded Response
In meters, what is the perimeter of the figure shown below?
Width Length
2 7
6 11
7 12
? 16
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$%"#&"#
$!"#
Everglades K12 Florida Mathematics Standards Grade 6 Pretest
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14. What is the length of the base of a triangle with an area of 31.5 square inches and a height of 7 inches?
A. 3 in.
B. 4.5 in.
C. 8 in. D. 9 in.
15. All the players on Jeff’s baseball team got to play in the last game.
Only
�
35 of all the players scored a
run. Which of the following is
equivalent to
�
35?
F. 66% G. 0.06
H. 60% I. 0.006
16. Which point shows the location of
�
1664 on the number line?
A. point W B. point X
C. point Y D. point Z
17. Juanita got 25% of 40 questions on a test correct. How many questions did she have correct?
F. 13 questions G. 12 questions
H. 11 questions
I. 10 questions
18. Gridded Response What is the mean for the set of scores shown below? 11, 18, 22, 10, 11, 25, 36
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!
!$# !%# !&# !'# !(#
" # $
Everglades K12 Florida Mathematics Standards Grade 6 Pretest
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19. Which of the following statements is NOT true?
A. 2 + (9 • 7) = 2 + (7 • 9)
B. 6a + 6b = 6(a + b) C. (3 • 5) + 8 = 3 • (5 + 8)
D. (ab)c = a(bc)
20. Which statement is true concerning the data shown below?
61, 75, 91, 27, 55, 60
F. The mean is larger than the median.
G. The range is smaller than the median.
H. The mean is larger than the range.
I. The median is larger than the mean.
21. The 10‐by‐10‐grid model shown below represents which number sentence?
A. 0.6 • 0.9 = 0.54
B. 0.7 • 0.9 = 0.81 C. 0.6 • 0.7 = 0.42
D. 0.9 • 0.8 = 0.72
22. Gridded Response Michel rented a car when he visited Gainesville last weekend. He must pay $35 plus $0.15 a mile for the rental. The equation below can be used to determine c, the total cost of the rental when he drives m miles.
c = 35 + 0.15m What was the total cost, in dollars, of the rental, if he drove 80 miles?
23. Zack hit 9 triples, 5 doubles,
11 singles, and 12 homeruns with 48 times at bat. What is his ratio of homeruns to times at bat?
F. 1:4
G. 12 to 37 H. 37:48
I. 1 to 2
Everglades K12 Florida Mathematics Standards Grade 6 Pretest
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24. Gianna went to the store to buy a pack of paper. Pack A had 500 sheets for $0.75 and Pack B had 650 sheets for $1.05. Which pack of paper is the best buy?
A. Pack A
B. Pack B C. Both packs are the same price.
D. There is not enough information to determine the best buy.
25. Mark earns x dollars per hour when he keeps score at the softball games. Which expression represents his earnings if he works from 7:30 pm to 11:00 pm?
F. 3.5 + x
G. 3.5x H. 4 + x
I. 4x
26. Gwazi is a double wooden roller coaster at a theme park in Tampa. You must be over 48 inches tall to ride Gwazi. Which inequality represents the height h you must be to ride Gwazi? A. h > 48
B. h ≥ 48
C. h < 48
D. h ≤ 48
27. The function rule
�
x4 – 3 has an
output of 5. What steps could be used to find the input?
F. add 4, then multiply by 3 G. subtract 3, then divide by 4
H. divide by 4, then subtract 3 I. add 3, then multiply by 4
28. If Nicole’s family traveled 157.5
miles in 3.5 hours, what was their rate of speed in miles per hour?
A. 90 miles per hour
B. 45 miles per hour C. 275.63 miles per hour
D. 551.25 miles per hour
29. Which expression is equivalent to 3(4 + 7)?
F. 3 + 4 • 3 + 7 + 4
G. 3 + 7 • 4 H. 3 • 4 + 3 • 7
I. 3 • 4 + 7
Everglades K12 Florida Mathematics Standards Grade 6 Pretest
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30. Opal had $65.00 in her savings account. During the summer she withdrew money at a steady rate of $4.00 each week w. Which equation shows the balance b at any given week?
A. b = 65 – 4w B. b = 4w – 65
C. b = 65 + 4w D. b = 4w + 65
31. A circular helicopter pad has a
diameter of 8 feet. What is the area of this landing pad? Use 3.14 for
�
π .
F. 12.56 sq. ft. G. 25.12 sq. ft.
H. 50.24 sq. ft.
I. 200.96 sq. ft.
32. What is the area of the composite figure below? Use 3.14 for
�
π .
A. 134.8 sq. yds.
B. 782.8 sq. yds. C. 1034 sq. yds.
D. 1976 sq. yds.
33. A cylinder has a volume of 88 cubic meters. The cylinder is 7 meters high. What is the radius of
the cylinder? Use
�
227 for
�
π .
F. 2 meters
G. 4 meters H. 8 meters
I. 16 meters
34. Which of the following is NOT
equivalent to 225 ?
A. 0.08 B. 8%
C.
�
8100
D. 0.8
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Everglades K12 Florida Mathematics Standards Grade 6 Pretest
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35. A Florida State Trooper recorded the time and distance he traveled on I‐10 in north Florida. The table shows that d, the distance in miles he traveled, depends on t, the time travelled in hours.
Time (hours),
t
Distance (miles),
d 1 45 2 90 3 135 4 180
Which equation correctly shows the relationship between t and d?
F. d = 45 – t G. d = t + 45
H. d =
�
t45
I. d = 45t
36. One team won 66% of their games. Another team won 0.70 of their games, and a third team won
�
35 of their games. Put the teams’
winning records in order, least to greatest.
A. 66%, 0.70,
�
35
B. 66%,
�
35, 0.70,
C. 0.70, 66%,
�
35
D.
�
35, 66%, 0.70
37. Gridded Response
Mr. Zook built a semicircular patio in his backyard. The diameter of the patio is 20 feet.
In feet, what is the perimeter of
his patio? Use 3.14 for π.
38. A cube has a volume of 125 cubic inches.
How long is one edge, e, of the cube?
F. 5 inches
G. 15 inches H. 25 inches
I. 50 inches
!
Everglades K12 Florida Mathematics Standards Grade 6 Pretest
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39. The model shown below represents which number sentence?
A.
�
23 •
�
56 =
�
59
B.
�
23 •
�
46 =
�
49
C.
�
36 •
�
12 =
�
312
D.
�
23 •
�
46 =
�
1018
40. Gridded Response Find the product of 0.015 • 0.12.
41. Which equation describes the relationship between the input and output values shown below?
input, m output, n 0 1 1 3 2 5 3 7 4 9
F. n = m + 2 G. m = n – 2
H. n = 2m + 1
I. n = 3m
42. Jose is writing thank you notes for
his birthday gifts. He wrote 20 notes in 2.5 hours. At what rate did he write his thank you notes?
A. 50 notes per hour B. 22 notes per hour
C. 10 notes per hour
D. 8 notes per hour
Everglades K12 Florida Mathematics Standards Grade 6 Pretest
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43. Four girls on a softball team were comparing their batting averages (the ratio of hits to times at bat). Using the data in the chart, who has the highest batting average?
Times at Bat
Number of Hits
Taisha 20 16 Stephanie 12 9 Natalia 40 5 Juanita 18 9
F. Taisha G. Stephanie
H. Natalia
I. Juanita
44. Mariah’s class is selling bags of fruit to raise money. They will sell small bags s for $3.00 and large bags l for $5.00. Which expression can be used to describe the amount of money the class can earn?
A. 5 + 3(l + s) B. 3 • 5(l + s)
C. 3s + 5l
D. 3 + 5l + s
45. Ernie needs at least 425 points to earn an A on his science project. He has 75 points already from the rough draft. Which inequality shows how many points p he needs to earn an A? MA.6.A.3.2 F. p – 75 ≥ 425
G. p – 75 ≤ 425
H. p + 75 ≥ 425
I. p + 75 ≤ 425
46. The table below shows the input and output for a rule that states: multiply by 4 and then subtract 3. What is the missing input value, if the output is 13?
A. 4 B. 18
C. 30
D. 49
Input Output
1 1
6 21
12 45
? 13
Everglades K12 Florida Mathematics Standards Grade 6 Pretest
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47. Gridded Response How many square feet are in the area of the trapezoid shown below?
48. Which expression is equivalent to 16 + a?
F. 4(4 + a)
G. a + 16 H. 4 + 4a + 4
I. a(4 + 4)
49. Wylie wants to swim laps around his circular pond. The pond has a radius of 26 feet. What is the distance around his pond? Use 3.14 for
�
π .
A. 52 feet
B. 81.64 feet C. 163.28 feet
D. 2,122.64 feet
50. Gridded Response In feet, what is the perimeter of the composite figure shown below? Use 3.14 for
�
π .
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Everglades K12 Florida Mathematics Standards Grade 6 Pretest
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51. Mr. Jimenez needs a cylinder that will hold 6.28 cubic feet of water. What will the height of the cylinder be if the cylinder’s diameter is 2 feet?
Use 3.14 for
�
π .
F. 1 foot H. 4 feet G. 2 feet I. 8 feet
52. Denard needs a
�
34 inch wrench to
fix a leaky faucet. Which of the
following is NOT equivalent to
�
34?
A. 0.75 C.
�
68
B.
�
915 D. 75%
53. Travis has three fishing hooks.
One hook is
�
34 of an inch long,
another is 0.625 of an inch long,
and the third is
�
78 of an inch long.
Which list below shows the hooks arranged in order from the shortest to the longest?
F.
�
34,
�
78, 0.625
G.
�
78,
�
34, 0.625
H. 0.625,
�
78,
�
34
I. 0.625,
�
34,
�
78
54. Monica bought 5
�
78 yards of
material and 3
�
45 yards of another
material. About how much material did she purchase altogether?
A. 8 yards
B. 9 yards
C. 10 yards D. 11 yards
55. What is the range of the data
listed below? 34, 36, 43, 75, 2, 23, 10, 56, 78, 12
F. 35
G. 68 H. 73
I. 76