7th Grade Final Exam Review 2023
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Jan 9, 2024
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Name: ________________________ Class: ___________________ Date: __________ ID: A
1
2023 7th Grade Final Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Write the decimal as a percent.
____ 1. 2.95
a.
0.0295%
c.
295%
b.
29.5%
d.
2.95%
____ 2. 0.0157
a.
1.57%
c.
0.0157%
b.
0.157%
d.
15.7%
Write the percent as a decimal.
____ 3. 128%
a.
128
c.
1.28
b.
0.128
d.
12.8
Use a number line to order the numbers from least to greatest.
____ 4. 3
10
, 0.34, 3
8
, 27%
a.
3
10
, 0.34, 27%, 3
8
c.
27%, 0.34, 3
10
, 3
8
b.
27%, 3
10
, 0.34, 3
8
d.
3
8
, 0.34, 3
10
, 27%
____ 5. 3.4, 3
1
5
, 35.8%, 3.64, 322%
a.
35.8%, 3
1
5
, 322%, 3.64, 3.4
c.
3
1
5
, 322%, 3.4, 3.64, 35.8%
b.
35.8%, 3
1
5
, 322%, 3.4, 3.64
d.
3
1
5
, 322%, 3.64, 3.4, 35.8%
____ 6. The Sharadze family is planning a car trip to Atlanta, Georgia, which is 279 miles from their home. They plan to drive at an average speed of 62 miles per hour. They also plan to stop for lunch for 45 minutes. Based on their plan, when should they leave in order to arrive in Atlanta at 3:00 P.M.?
a.
9:25 A.M.
c.
10:30 A.M.
b.
9:45 A.M.
d.
11:15 A.M.
Name: ________________________ ID: A
2
____ 7. Two candidates ran for the office of county commissioner. They were the only two candidates who received votes in the election.
Ms. Talmadge received 45% of the votes.
Mr. Rodriguez received 171,919 votes.
What was the total number of votes cast in the election?
a.
140,661
c.
312,580
b.
249,283
d.
382,042
____ 8. Which of the following describes a correct method for solving the equation below?
8
y
4
a.
Add 8 to both sides.
b.
Subtract 8 from both sides.
c.
Add 8 to both sides, then add y
to both sides.
d.
Subtract 8 from both sides, then divide both sides by –1
____ 9. Sonja bought a new van for her business. The cost of the van was $35,000, and she had to pay 6% sales tax. What was the total cost of the van, including tax?
a.
$32,900
c.
$35,600
b.
$35,210
d.
$37,100
Use a model to estimate the answer to the question. Use a ratio table to check your answer.
____ 10. What number is 20% of 55?
a.
11
c.
44
b.
9
d.
12
____ 11. 20 is what percent of 40?
a.
50%
c.
55%
b.
41%
d.
200%
____ 12. 25 is 25% of what number?
a.
100
c.
625
b.
104
d.
92
Write and solve an equation to answer the question.
____ 13. 48 is what percent of 80?
a.
60%
c.
64%
b.
166.67%
d.
59%
____ 14. 4% of what number is 40?
a.
950
c.
1000
b.
1.6
d.
1025
____ 15. A basketball player made 75 baskets in a season. Of these, 8% were three-point shots. How many three-point shots did the player make?
a.
5
c.
6
b.
69
d.
7
Name: ________________________ ID: A
3
____ 16. A jacket with an original price of $49.30 is discounted 30%. What is the sale price?
a.
$14.79
c.
$19.30
b.
$34.51
d.
$37.51
Find the cost to store, percent of markup, or selling price.
____ 17. Cost to store: $90
Markup: 100%
Selling price: ? a.
$175
c.
$190
b.
$185
d.
$180
____ 18. A bike with an original price of $90 is discounted 40%. What is the sale price?
a.
$36
c.
$126
b.
$50
d.
$54
Find the annual interest rate.
____ 19. I
= $40, P
= $500, t
= 16 months
a.
8%
c.
5%
b.
6%
d.
0.06%
____ 20. I
= $30, P
= $100, t
= 6 years
a.
5%
c.
30%
b.
0.05%
d.
4%
____ 21. A savings account earns 4% annual simple interest. The principal is $1100. What is the balance after 5 years?
a.
$23,100
c.
$1320
b.
$220
d.
$22,000
____ 22. You put $600 in an account. The account earns $31 simple interest in 10 months. What is the annual interest rate?
a.
6.2%
c.
0.062%
b.
5.7%
d.
5.2%
Find the value of x.
____ 23. a.
11.25
c.
58
b.
16.25
d.
32
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Name: ________________________ ID: A
4
____ 24. a.
110
c.
31
b.
59
d.
27
____ 25. a.
50
c.
130
b.
40
d.
135
Tell whether the angles are adjacent or vertical
. Then find the value of x
.
____ 26. a.
vertical; 127
c.
adjacent; 53
b.
adjacent; 127
d.
vertical; 53
Name: ________________________ ID: A
5
Find the perimeter of the figure.
____ 27. a.
33 m
c.
66 m
b.
72 m
d.
188 m
____ 28. Find the area of a circle with a diameter of 37 millimeters.
a.
about 4,298.66 mm
2
c.
about 1,075.775 mm
2
b.
about 1,074.665 mm
2
d.
about 116.18 mm
2
____ 29. Find the area of a circle with a radius of 73 feet.
a.
about 4,183.27 ft
2
c.
about 16,734.06 ft
2
b.
about 16,733.06 ft
2
d.
about 458.44 ft
2
____ 30. There are four schools in your division for sports. You counted the number of soccer players and the number of football players in each school. Your results are shown in the table below.
Based on the table, which school has the greatest ratio of soccer players to football players?
a.
School A
c.
School C
b.
School B
d.
School D
Name: ________________________ ID: A
6
____ 31. The name of a city is shown below.
C H A T T A H O O C H E E
James will pick one letter at random from the name of this city. What is the probability that he will pick a letter that can also be found in the name “James”?
a.
1
3
c.
4
9
b.
2
13
d.
4
13
Use the spinner to determine the probability of the event.
____ 32. Spinning an odd prime
a.
1
2
c.
1
4
b.
3
5
d.
3
8
____ 33. Spinning a 6
a.
3
4
c.
1
8
b.
1
6
d.
1
7
____ 34. Not
spinning a 4
a.
1
9
c.
1
2
b.
7
8
d.
6
7
____ 35. Spinning a number less than 7
a.
1
3
c.
1
6
b.
3
4
d.
7
8
____ 36. The rules of a contest say that there is a 6% chance of winning a prize. Two hundred people enter the contest. Predict how many people will win a prize.
a.
6
c.
13
b.
120
d.
12
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Name: ________________________ ID: A
7
You roll a number cube. Determine the theoretical probability of the event.
____ 37. Rolling a 3
a.
1
6
c.
2
b.
1
2
d.
3
5
____ 38. Rolling a 8
a.
3
4
c.
0
b.
4
3
d.
1
A bag contains 50 marbles. The theoretical probability of randomly drawing a purple marble is given. Find the number of purple marbles in the bag.
____ 39. 1
10
a.
500
c.
3
b.
5
d.
4
The bar graph shows the results of spinning the spinner 40 times. Find the experimental probability of the event.
____ 40. Spinning a 3
a.
9
40
c.
11
40
b.
3
20
d.
1
4
Name: ________________________ ID: A
8
____ 41. Spinning a number greater than 4
a.
23
40
c.
31
40
b.
3
8
d.
7
40
____ 42. Spinning a number less than 5
a.
37
40
c.
11
40
b.
3
8
d.
13
20
Name: ________________________ ID: A
9
____ 43. Spinning a 3 or a 4
a.
1
20
c.
7
40
b.
9
40
d.
11
40
Use the Fundamental Counting Principle to find the total number of possible outcomes.
____ 44. Shirt
Size
Small, Medium, Large, Extra Large
Color
White, Black, Gray, Blue, Red
a.
23
c.
13
b.
20
d.
9
____ 45. MP3 Player
Memory
1 GB, 2 GB, 4 GB , 8 GB, 16 GB, 32 GB
Color
Purple, Black, White a.
18
c.
19
b.
9
d.
14
____ 46. Lunch
Drink
Water, Cola, Diet cola , Iced tea, Lemonade
Sandwich
Turkey, Meatball , Ham & Cheese
Side
Pineapple, Apple, Fries , Cottage Cheese, Banana
a.
13
c.
12
b.
75
d.
77
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Name: ________________________ ID: A
10
____ 47. You get lost in the woods and find a hiking trail. You come to a fork in the trail and randomly go right. Then you come to an intersection. You can turn left, go straight, or turn right. You decide to go straight. What is the probability that you are on the shortest trail out of the woods?
a.
1
3
c.
1
2
b.
1
6
d.
1
8
____ 48. You have 6 pairs of socks in the dryer. Only one pair is black. You randomly choose two of the socks. What is the probability that you got both of the black socks?
a.
1
11
c.
1
66
b.
1
30
d.
1
6
You randomly choose one of the chips. Without replacing the first chip, you choose a second chip. Find the probability of choosing the first chip, then the second chip.
____ 49. White and Red
a.
3
50
c.
1
12
b.
1
5
d.
1
15
____ 50. White and not
a Black
a.
4
45
c.
2
25
b.
1
10
d.
1
9
Name: ________________________ ID: A
11
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the events.
____ 51. Not
spinning a 6, flipping tails, then spinning a 9.
a.
1
27
c.
4
81
b.
1
18
d.
5
162
____ 52. Spinning an even number, flipping heads, then spinning a 6.
a.
5
27
c.
4
27
b.
2
81
d.
5
162
____ 53. The students in Mrs. Spitzer’s class took the same math test. The results of four students are listed below.
Maria answered 4
5
of the problems correctly.
Monica answered 0.9 of the problems correctly.
Kevin answered 3
4
of the problems correctly.
Julian answered 86% of the problems correctly.
Which student answered the most
problems on the test correctly?
a.
Maria
c.
Kevin
b.
Monica
d.
Julian
Name: ________________________ ID: A
12
Numeric Response
Find the circumference of the circle. Use 3.14 or 22
7
for
1. 2. Out of a survey of 49 randomly chosen students, 12 said they were going to attend a concert. Predict the number of students who attend the school.
Concert Ticket Sales
Adults
Students
456
240
Short Answer
Find the area of the circle. Use 3.14 or 22
7
for
.
1. 2. 3. You want to estimate the number of people in a town who own boats. You survey people arriving at a boat launch in a park. Determine whether the sample is biased
or unbiased
. Explain.
Identify the population and the sample.
4. An agency wants to know the opinions of United States residents on education reform. The agency surveys residents of Texas.
5. You want to know how many students in your school own an MP3 player. You survey 50 students.
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ID: A
1
2023 7th Grade Final Exam Review
Answer Section
MULTIPLE CHOICE
1. ANS: C PTS: 1 DIF: Level 1 REF: Section 6.1
NAT: 7.EE.3 KEY: convert | decimals | percent MSC: Knowledge
2. ANS: A PTS: 1 DIF: Level 1 REF: Section 6.1
NAT: 7.EE.3 KEY: convert | decimals | percent MSC: Knowledge
3. ANS: C PTS: 1 DIF: Level 1 REF: Section 6.1
NAT: 7.EE.3 KEY: convert | decimals | percent MSC: Knowledge
4. ANS: B PTS: 1 DIF: Level 1 REF: Section 6.2
NAT: 7.EE.3 KEY: order | percent | decimals | fractions MSC: Knowledge
5. ANS: B PTS: 1 DIF: Level 1 REF: Section 6.2
NAT: 7.EE.3 KEY: order | percent | decimals | fractions MSC: Knowledge
6. ANS: B
Feedback
A
The student determines the 4.5 hours of driving time but interprets this as 4 hours 50 minutes. The student then works backward from 3:00 P.M., using this driving time and the time for lunch.
B
Correct answer
C
The student ignores the time for lunch.
D
The student adds the time for lunch instead of subtracting.
PTS: 1 DIF: Level 2 REF: Ch 6 Standards Assessment
NAT: 7.EE.4a KEY: rate | Division Property of Equality MSC: Application
7. ANS: C
Feedback
A
The student finds the number of votes Ms. Talmadge received.
B
The student finds 45% of 171,919 (rounded to the nearest whole number) and adds this amount to 171,919.
C
Correct answer
D
The student divides 171,919 by 0.45 (rounded to the nearest whole number
).
PTS: 1 DIF: Level 2 REF: Ch 6 Standards Assessment
NAT: 7.RP.3 KEY: percent MSC: Application
ID: A
2
8. ANS: D
Feedback
A
The student thinks that 8
y
is equivalent to y
8
.
B
The student ignores the sign to the left of y
.
C
The student thinks both 8 and y are negative. The student also moves all the terms to the same side of the equal sign.
D
Correct answer
PTS: 1 DIF: Level 1 REF: Ch 6 Standards Assessment
NAT: 7.EE.4a KEY: Subtraction Property of Equality | Division Property of Equality
MSC: Knowledge
9. ANS: D
Feedback
A
The student subtracts 6% of $35,000 from the cost of the van.
B
The student makes a decimal error in calculating the tax, adding $210 to the cost of the van instead of $2,100.
C
The student thinks that 6% is equivalent to $600 and adds this amount to the cost of the van.
D
Correct answer
PTS: 1 DIF: Level 2 REF: Ch 6 Standards Assessment
NAT: 7.RP.3 KEY: percent | sales tax MSC: Application
10. ANS: A PTS: 1 DIF: Level 1 REF: Section 6.3
NAT: 7.RP.3 KEY: percent | estimation MSC: Knowledge
11. ANS: A PTS: 1 DIF: Level 1 REF: Section 6.3
NAT: 7.RP.3 KEY: percent | estimation MSC: Knowledge
12. ANS: A PTS: 1 DIF: Level 1 REF: Section 6.3
NAT: 7.RP.3 KEY: percent | estimation MSC: Knowledge
13. ANS: A PTS: 1 DIF: Level 1 REF: Section 6.4
NAT: 7.RP.3 | 7.EE.3 KEY: percent | equation MSC: Knowledge
14. ANS: C PTS: 1 DIF: Level 1 REF: Section 6.4
NAT: 7.RP.3 | 7.EE.3 KEY: percent | equation MSC: Knowledge
15. ANS: C PTS: 1 DIF: Level 1 REF: Section 6.4
NAT: 7.RP.3 | 7.EE.3 KEY: percent | application MSC: Comprehension 16. ANS: B PTS: 1 DIF: Level 1 REF: Section 6.6
NAT: 7.RP.3 KEY: discount | percent | application MSC: Knowledge
17. ANS: D PTS: 1 DIF: Level 1 REF: Section 6.6
NAT: 7.RP.3 KEY: markup | percent MSC: Knowledge
18. ANS: D PTS: 1 DIF: Level 1 REF: Section 6.6
NAT: 7.RP.3 KEY: discount | percent | application MSC: Knowledge
19. ANS: B PTS: 1 DIF: Level 1 REF: Section 6.7
NAT: 7.RP.3 KEY: simple interest | interest rate MSC: Knowledge
ID: A
3
20. ANS: A PTS: 1 DIF: Level 1 REF: Section 6.7
NAT: 7.RP.3 KEY: simple interest | interest rate MSC: Knowledge
21. ANS: C PTS: 1 DIF: Level 1 REF: Section 6.7
NAT: 7.RP.3 KEY: simple interest | application MSC: Application
22. ANS: A PTS: 1 DIF: Level 1 REF: Section 6.7
NAT: 7.RP.3 KEY: simple interest | application MSC: Application
23. ANS: A PTS: 1 DIF: Level 2 REF: Section 7.1
NAT: 7.G.5 KEY: complementary angles MSC: Knowledge
24. ANS: C PTS: 1 DIF: Level 2 REF: Section 7.1
NAT: 7.G.5 KEY: vertical angles MSC: Knowledge
25. ANS: C PTS: 1 DIF: Level 1 REF: Section 7.2
NAT: 7.G.5 KEY: supplementary angles MSC: Knowledge
26. ANS: C PTS: 1 DIF: Level 1 REF: Section 7.1
NAT: 7.G.5 KEY: supplementary angles MSC: Knowledge
27. ANS: C PTS: 1 DIF: Level 1 REF: Section 8.2
NAT: 7.G.4 KEY: perimeter | composite figure MSC: Knowledge
28. ANS: B PTS: 1 DIF: Level 1 REF: Section 8.3
NAT: 7.G.4 KEY: area | circle MSC: Knowledge
29. ANS: B PTS: 1 DIF: Level 1 REF: Section 8.3
NAT: 7.G.4 KEY: area | circle MSC: Knowledge
30. ANS: B
Feedback
A
The student chooses the ratio that is easiest to simplify.
B
Correct answer
C
The student chooses the school with the largest ratio of football players to soccer players.
D
The student chooses the school with the greatest number of football players.
PTS: 1 DIF: Level 2 REF: Ch 10 Standards Assessment
NAT: 7.RP.1 KEY: ratio MSC: Application
31. ANS: D
Feedback
A
The student disregards frequency and determines the probability using the fact that A and E are two types of letters out of six types of letters in CHATTAHOOCHEE.
B
The student disregards the frequencies of A and E and gets a numerator of 2 instead of 4.
C
The student uses the number of letters that are not A or E as the denominator. (The student finds the odds in favor of picking A or E.)
D
Correct answer
PTS: 1 DIF: Level 2 REF: Ch 10 Standards Assessment
NAT: 7.SP.8a | 7.SP.8b KEY: compound event MSC: Application
32. ANS: D PTS: 1 DIF: Level 2 REF: Section 10.2
NAT: 7.SP.7a KEY: probability MSC: Knowledge
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ID: A
4
33. ANS: C PTS: 1 DIF: Level 1 REF: Section 10.2
NAT: 7.SP.7a KEY: probability MSC: Knowledge
34. ANS: B PTS: 1 DIF: Level 1 REF: Section 10.2
NAT: 7.SP.7a KEY: probability MSC: Knowledge
35. ANS: B PTS: 1 DIF: Level 1 REF: Section 10.2
NAT: 7.SP.7a KEY: probability MSC: Knowledge
36. ANS: D PTS: 1 DIF: Level 2 REF: Section 10.2
NAT: 7.SP.7a KEY: probability | application MSC: Application
37. ANS: A PTS: 1 DIF: Level 1 REF: Section 10.3
NAT: 7.SP.6 | 7.SP.7a KEY: theoretical probability
MSC: Knowledge
38. ANS: C PTS: 1 DIF: Level 1 REF: Section 10.3
NAT: 7.SP.6 | 7.SP.7a KEY: theoretical probability
MSC: Knowledge
39. ANS: B PTS: 1 DIF: Level 1 REF: Section 10.3
NAT: 7.SP.6 | 7.SP.7a KEY: theoretical probability
MSC: Knowledge
40. ANS: C PTS: 1 DIF: Level 1 REF: Section 10.3
NAT: 7.SP.6 | 7.SP.7a KEY: experimental probability
MSC: Knowledge
41. ANS: D PTS: 1 DIF: Level 1 REF: Section 10.3
NAT: 7.SP.6 | 7.SP.7a KEY: experimental probability
MSC: Knowledge
42. ANS: A PTS: 1 DIF: Level 1 REF: Section 10.3
NAT: 7.SP.6 | 7.SP.7a KEY: experimental probability
MSC: Knowledge
43. ANS: D PTS: 1 DIF: Level 1 REF: Section 10.3
NAT: 7.SP.6 | 7.SP.7a KEY: experimental probability
MSC: Knowledge
44. ANS: B PTS: 1 DIF: Level 1 REF: Section 10.4
NAT: 7.SP.8a KEY: outcomes MSC: Knowledge
45. ANS: A PTS: 1 DIF: Level 1 REF: Section 10.4
NAT: 7.SP.8a KEY: outcomes MSC: Knowledge
46. ANS: B PTS: 1 DIF: Level 1 REF: Section 10.4
NAT: 7.SP.8a KEY: outcomes MSC: Knowledge
47. ANS: B PTS: 1 DIF: Level 2 REF: Section 10.4
NAT: 7.SP.8a KEY: probability | event | independent | application
MSC: Application
48. ANS: C PTS: 1 DIF: Level 2 REF: Section 10.4
NAT: 7.SP.8a KEY: probability | event | dependent | application MSC: Application
49. ANS: D PTS: 1 DIF: Level 1 REF: Section 10.5
NAT: 7.SP.8a KEY: probability | event | dependent MSC: Knowledge
50. ANS: D PTS: 1 DIF: Level 1 REF: Section 10.5
NAT: 7.SP.8a KEY: probability | event | dependent MSC: Knowledge
51. ANS: C PTS: 1 DIF: Level 1 REF: Section 10.5
NAT: 7.SP.8a KEY: probability | event | independent MSC: Knowledge
ID: A
5
52. ANS: B PTS: 1 DIF: Level 1 REF: Section 10.5
NAT: 7.SP.8a KEY: probability | event | independent MSC: Knowledge
53. ANS: B
Feedback
A
The student incorrectly thinks that 4
5
is greater than 0.9 and 86%.
B
Correct answer
C
The student incorrectly thinks that 3
4
is greater than 0.9, 86%, and 4
5
D
The student incorrectly thinks that 86% is greater than 0.9.
PTS: 1 DIF: Level 2 REF: Ch 7 Standards Assessment
NAT: 7.EE.3 KEY: fractions | decimals | percent MSC: Comprehension
NUMERIC RESPONSE
1. ANS: about 28.26 in.
PTS: 1 DIF: Level 1 REF: Section 8.1 NAT: 7.G.4
KEY: circle | circumference MSC: Knowledge
2. ANS: 980 students
PTS: 1 DIF: Level 2 REF: Section 10.6 NAT: 7.SP.1 | 7.SP.2
KEY: sample | population | application MSC: Application
SHORT ANSWER
1. ANS: about 346.5 mm
2
PTS: 1 DIF: Level 1 REF: Ch 8 Quiz 2 NAT: 7.G.4
KEY: circle | area MSC: Knowledge
2. ANS: about 154 ft
2
PTS: 1 DIF: Level 1 REF: Ch 8 Quiz 2 NAT: 7.G.4
KEY: circle | area MSC: Knowledge
3. ANS: biased; The sample is not selected at random and is not representative of the population because people arriving at a boat launch are likely to own a boat
PTS: 1 DIF: Level 2 REF: Section 10.6 NAT: 7.SP.1
KEY: biased sample | unbiased sample | sample | population MSC: Application
ID: A
6
4. ANS: Population: United States residents
Sample: Texas residents
PTS: 1 DIF: Level 1 REF: Section 10.6 NAT: 7.SP.1 | 7.SP.2
KEY: sample | population MSC: Knowledge
5. ANS: Population: All of the students in your school
Sample: The 50 students you surveyed
PTS: 1 DIF: Level 1 REF: Section 10.6 NAT: 7.SP.1 | 7.SP.2
KEY: sample | population MSC: Knowledge
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