7th Grade Math Midterm Exam

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Achavis
A
Achavis
Community Contributor
Quizzes Created: 1 | Total Attempts: 2,659
| Attempts: 2,662
SettingsSettings
Please wait...
  • 1/34 Questions

    Jenisa used 4/5 of her allowance to purchase a gift.  How is this fraction represented as a percent?

    • 40%
    • 45%
    • 50%
    • 80%
Please wait...
7th Grade Math Midterm Exam - Quiz
About This Quiz

This '7th Grade Math Midterm Exam' assesses essential mathematical skills such as converting decimals to percentages, comparing fractions, calculating percentages, and understanding ratios. It provides a comprehensive evaluation of students' grasp of middle school math concepts.

Quiz Preview

  • 2. 

    Jessica had $115 dollars and spent 1/3 of that amount on a new stereo.  Which of the following is the most reasonable estimate of how much she spent on the stereo?

    • $15

    • $40

    • $60

    • $100

    Correct Answer
    A. $40
    Explanation
    Jessica had $115 dollars and spent 1/3 of that amount on a new stereo. To find out how much she spent on the stereo, we need to calculate 1/3 of $115. One way to do this is to divide $115 by 3, which equals approximately $38.33. Since the options given are rounded estimates, the most reasonable estimate would be $40, which is the closest option to the calculated amount.

    Rate this question:

  • 3. 

    What is the value of 2/3 x 1/5

    • 2/15

    • 3/8

    • 3/10

    • 1/4

    Correct Answer
    A. 2/15
    Explanation
    To find the value of 2/3 x 1/5, we multiply the numerators (2 x 1) to get 2, and multiply the denominators (3 x 5) to get 15. Therefore, the answer is 2/15.

    Rate this question:

  • 4. 

    Which fraction is greater than 1/6 but less than 1/3?

    • 1/9

    • 1/2

    • 1/4

    • 1/8

    Correct Answer
    A. 1/4
    Explanation
    The fraction 1/4 is greater than 1/6 because the denominator is smaller, indicating larger parts. It is also less than 1/3 because the denominator is larger, indicating smaller parts. Therefore, 1/4 satisfies the condition of being greater than 1/6 but less than 1/3.

    Rate this question:

  • 5. 

    Advanced University accepted 15000 students in their masters of science program.  Only 6000 of those students completed the program.  What percent of the students completed the program?

    • 6%

    • 15%

    • 25%

    • 40%

    Correct Answer
    A. 40%
    Explanation
    Out of the 15000 students accepted into the masters of science program, only 6000 completed it. To find the percentage of students who completed the program, we divide the number of students who completed (6000) by the total number of students accepted (15000) and multiply by 100. This gives us a percentage of 40%.

    Rate this question:

  • 6. 

    Gretchen was up to bat 56 times during her softball season.  She reached first base 33 times.  About which percentage of the time did she reach first base?

    • 23%

    • 33%

    • 59%

    • 70%

    Correct Answer
    A. 59%
    Explanation
    Gretchen reached first base 33 times out of 56 at-bats during her softball season. To find the percentage, we divide the number of times she reached first base (33) by the total number of at-bats (56) and multiply by 100. This gives us a percentage of approximately 59%.

    Rate this question:

  • 7. 

    Spencer cam run 1 mile in about 8 minutes.  Ande can run1 mile in about 10 minutes.  If both boys run for 30 minutes, about how much father will Spencer run?

    • .07 mile

    • .75 mile

    • 1 mile

    • 2 miles

    Correct Answer
    A. .75 mile
    Explanation
    Spencer can run 1 mile in about 8 minutes, while Ande can run 1 mile in about 10 minutes. Therefore, in 30 minutes, Spencer will be able to run 30/8 = 3.75 miles, while Ande will be able to run 30/10 = 3 miles. The difference between the distances covered by Spencer and Ande is 3.75 - 3 = 0.75 miles.

    Rate this question:

  • 8. 

    Sylvia bought 4 2/3 yards of fabric costing $5.49 per yard.  Which amount is a reasonable estimate for the cost of the fabric?

    • $10

    • $20

    • $25

    • $35

    Correct Answer
    A. $25
    Explanation
    The cost of the fabric is estimated by multiplying the number of yards by the cost per yard. In this case, Sylvia bought 4 2/3 yards of fabric, which can be rounded up to 5 yards. Multiplying 5 yards by $5.49 per yard gives an estimated cost of $27.45. Among the given options, $25 is the closest reasonable estimate to the actual cost.

    Rate this question:

  • 9. 

    Celia fond many items on sale in her favorite store.  Teh items were 1/2 off, 25% off, 40% off , and 1/3 off.  Which of the following shows the discounts in order from least to greatest?

    • 1/3 < 1/2 < 25% < 40%

    • 1/2 < 1/3 < 25% < 40%

    • 1/2 < 40% < 1/3 < 25%

    • 25% < 1/3 < 40% < 1/2

    Correct Answer
    A. 25% < 1/3 < 40% < 1/2
    Explanation
    The correct answer is 25% < 1/3 < 40% < 1/2. This order is determined by comparing the discounts expressed as fractions and percentages. The fraction 1/3 is the smallest discount, followed by 25% (which is equivalent to 1/4), then 40%, and finally 1/2, which is the largest discount.

    Rate this question:

  • 10. 

    Bob owns some DVDs.  He owns 8 comedies, 5 animated movies, and 7 action movies.  What is the ratio of comedies to the total number of DVDs Bob owns?

    • 1/8

    • 1/3

    • 2/5

    • 2/3

    Correct Answer
    A. 2/5
    Explanation
    The ratio of comedies to the total number of DVDs Bob owns is 2/5. This can be calculated by dividing the number of comedies (8) by the total number of DVDs (8+5+7=20). Simplifying the ratio gives us 2/5.

    Rate this question:

  • 11. 

    How should you write .07 as a percent?

    • .07%

    • .70%

    • 7.0%

    • 70%

    Correct Answer
    A. 7.0%
    Explanation
    To write .07 as a percent, you need to move the decimal point two places to the right and add a percent sign. This means that .07 is equal to 7.0%.

    Rate this question:

  • 12. 

    Vale Mountain has a snow making machine that will lay down an inch of snow per hour over an area of 50000 square feet.  Which expression shows how to find the number of hours this machine takes to lay down 1 inch of new snow on a ski run that is 700 feet long and 120 feet wide?

    • (700x120)/50,000

    • 50,000/(700x120)

    • 120x50,000/700

    • (700x50,000)/120

    Correct Answer
    A. (700x120)/50,000
    Explanation
    The given expression (700x120)/50,000 calculates the number of hours it takes for the snow making machine to lay down 1 inch of new snow on a ski run that is 700 feet long and 120 feet wide. This is determined by multiplying the length and width of the ski run (700 and 120) and then dividing it by the area that the snow making machine can cover in an hour (50,000 square feet).

    Rate this question:

  • 13. 

    Cassandra recorded the average amount spent on groceries each week by her family of four as $114.38.  How much is this per day for a 7-day week?

    • $16.34

    • $16.00

    • $15.34

    • %15.00

    Correct Answer
    A. $16.34
    Explanation
    To find the amount spent per day for a 7-day week, we divide the average amount spent on groceries each week by 7. So, $114.38 divided by 7 equals $16.34.

    Rate this question:

  • 14. 

    A biologist studies a pond and finds that it has 25 fish and 75 frogs.  What is the ratio of fish to frogs?

    • 1:3

    • 1:4

    • 2:5

    • 2:7

    Correct Answer
    A. 1:3
    Explanation
    The ratio of fish to frogs in the pond is 1:3. This means that for every fish in the pond, there are three frogs.

    Rate this question:

  • 15. 

    The Lauder Theatre uses 3 ushers for every 150 guests.  If the net concert is sold out, and the theater holds 992 people, approximately how many ushers will they need for the sold out concert?

    • 7 ushers

    • 20 ushers

    • 50 ushers

    • 331 ushers

    Correct Answer
    A. 20 ushers
  • 16. 

    Mr. Rogers bought a small motorboat.  Traveling at a speed of 30 miles per hour, he could go 50 miles on a 6 gallon tank of fuel.  At that rate, how many gallons of fuel would he need for a 75 mile trip?

    • 7 1/2

    • 9

    • 12

    • 20

    Correct Answer
    A. 9
    Explanation
    Based on the given information, Mr. Rogers can travel 50 miles on a 6 gallon tank of fuel. Therefore, he can travel 50/6 = 8.33 miles per gallon. To calculate how many gallons of fuel he would need for a 75 mile trip, we divide 75 by 8.33, which gives us approximately 9. Therefore, Mr. Rogers would need 9 gallons of fuel for a 75 mile trip.

    Rate this question:

  • 17. 

    There were 279 participants in the science fair.  About 2/3 of them were seventh graders.  Which of these is a reasonable estimate of the number of seventh graders taking part in the science fair?

    • 100

    • 150

    • 200

    • 250

    Correct Answer
    A. 200
    Explanation
    Since 2/3 of the participants were seventh graders, a reasonable estimate of the number of seventh graders taking part in the science fair would be slightly less than 2/3 of the total number of participants. Since 2/3 of 279 is approximately 186, 200 would be a reasonable estimate as it is slightly higher than 186.

    Rate this question:

  • 18. 
    - ProProfs

    • 5

    • 7

    • 12

    • 14

    Correct Answer
    A. 7
  • 19. 

    Mary and Ann collected stamps as a hobby.  Mary collected 188 stamps which was less than half the number of stamps, s, Ann collected.  Which inequality statement?

    • 188 < 1/2s

    • 188 > 1/2s

    • 188 < 1/2 + s

    • 188 < 1/2 + s

    Correct Answer
    A. 188 < 1/2s
    Explanation
    Mary collected 188 stamps, which is less than half the number of stamps Ann collected. This can be represented by the inequality statement 188 < 1/2s, where s represents the number of stamps Ann collected.

    Rate this question:

  • 20. 

    The number of teachers is directly proportional to the number of students.  When there are 224 students, there are 14 teachers.  how many teachers are there when there are 368 students?

    • 21 teachers

    • 23 teachers

    • 25 teachers

    • 27 teachers

    Correct Answer
    A. 23 teachers
    Explanation
    The given information states that the number of teachers is directly proportional to the number of students. This means that as the number of students increases, the number of teachers will also increase in direct proportion.

    Using the given ratio of 224 students to 14 teachers, we can find the ratio of students to teachers: 224/14 = 16 students per teacher.

    To find the number of teachers when there are 368 students, we divide the number of students by the ratio: 368/16 = 23 teachers.

    Therefore, the correct answer is 23 teachers.

    Rate this question:

  • 21. 

    Joanna has 3/4 of her book left to read.  If she reads 1/4 of her book each day, how many days will it take her to finish the book?

    • 3/16

    • 1/2

    • 1

    • 3

    Correct Answer
    A. 3
    Explanation
    Joanna has 3/4 of her book left to read and she reads 1/4 of her book each day. To find out how many days it will take her to finish the book, we need to divide the remaining fraction (3/4) by the fraction she reads each day (1/4). When we divide 3/4 by 1/4, we get 3. Therefore, it will take Joanna 3 days to finish the book.

    Rate this question:

  • 22. 
    Mr. Roberts asked his students to solve this expression and tell me which students response is correct?  - ProProfs

    Mr. Roberts asked his students to solve this expression and tell me which students response is correct? 

    • 31

    • 40

    • 51

    • 59

    Correct Answer
    A. 59
  • 23. 
    What is the value of this expression? - ProProfs

    What is the value of this expression?

    • -6

    • 0

    • 15

    • 36

    Correct Answer
    A. 36
  • 24. 
    - ProProfs

    • 8

    • 16

    • 40

    • 64

    Correct Answer
    A. 8
    Explanation
    To evaluate the expression 2(3x - 4)^2 when x = 2, we substitute x = 2 into the expression and simplify:
    2(3x - 4)^2 = 2(3(2) - 4)^2
    = 2(6 - 4)^2
    = 2(2)^2
    = 2(4)
    = 8

    Rate this question:

  • 25. 

    A district office printed surveys for each school in the district to distribute to its students.  The office used 3 1/2 reams of paper to print all of the surveys.  Each school in the district received 1/4 of a ream of printed surveys.  How many schools are in the district?

    • 4

    • 9

    • 12

    • 14

    Correct Answer
    A. 14
    Explanation
    If each school received 1/4 of a ream of printed surveys and the office used 3 1/2 reams of paper in total, we can divide 3 1/2 by 1/4 to find the number of schools. Dividing 3 1/2 by 1/4 is the same as multiplying 3 1/2 by 4/1, which equals 14. Therefore, there are 14 schools in the district.

    Rate this question:

  • 26. 

    What is the value of the following expression? 1/2 (2+4x6-3x2)

    • 10

    • 15

    • 19

    • 33

    Correct Answer
    A. 10
    Explanation
    The given expression is solved using the order of operations (PEMDAS/BODMAS). First, we multiply 4 by 6 to get 24, and then multiply 3 by 2 to get 6. Next, we subtract 6 from 24, resulting in 18. Finally, we add 2 and 18 to get 20, and divide it by 2, giving us the final answer of 10.

    Rate this question:

  • 27. 

    The length of Sara's banner for Family Fun Night is 2 feet more than 1/2 the length of Alex's banner. Saras banner is 10 feet long.  What is the length of Alexs banner?

    • 8 feet

    • 12 feet

    • 16 feet

    • 20 feet

    Correct Answer
    A. 16 feet
    Explanation
    The length of Sara's banner is 2 feet more than half the length of Alex's banner. Since Sara's banner is 10 feet long, half the length of Alex's banner would be 10 - 2 = 8 feet. Therefore, the length of Alex's banner is 8 feet x 2 = 16 feet.

    Rate this question:

  • 28. 

    The dimensions of four rectangles are given below.  Which rectangle does not have the same ratio of length to width as the other three?

    • 14 inches x 10 inches

    • 3 1/2 inches x 2 1/2 inches

    • 7 inches x 5 inches

    • 4 1/2 inches x 2 3/4 inches

    Correct Answer
    A. 4 1/2 inches x 2 3/4 inches
    Explanation
    The ratio of length to width for the first three rectangles is 14:10, 3.5:2.5, and 7:5 respectively. However, for the fourth rectangle, the ratio of length to width is not the same as the other three. Therefore, the fourth rectangle does not have the same ratio of length to width as the other three.

    Rate this question:

  • 29. 

    On Monday, Julie checked out 24 books from the public library.  This is 6 more than twice the number of books she checked out on Saturday.  How many books did Julie check out on Saturday?

    • 6

    • 8

    • 9

    • 15

    Correct Answer
    A. 9
    Explanation
    Let's assume the number of books Julie checked out on Saturday is x. According to the given information, 24 is 6 more than twice x. So, we can write the equation 2x + 6 = 24. By subtracting 6 from both sides, we get 2x = 18. Finally, dividing both sides by 2, we find x = 9. Therefore, Julie checked out 9 books on Saturday.

    Rate this question:

  • 30. 
      - ProProfs

     

    • 62m

    • 1/3

    • 60m+8

    • 63m-4

    Correct Answer
    A. 62m
    Explanation
    The given options are different expressions involving 'm'. The correct answer is 62m. This means that the value of 'm' should be multiplied by 62 to get the correct result.

    Rate this question:

  • 31. 
      - ProProfs

     

    • (4,2)

    • (5,2)

    • (5,3)

    • (6,2)

    Correct Answer
    A. (5,2)
    Explanation
    The answer (5,2) is the only point that appears more than once in the given set of coordinates. All the other points (4,2), (5,3), and (6,2) appear only once. Therefore, the correct answer is (5,2).

    Rate this question:

  • 32. 

    Henry collects stamps.  During week one, he collected 2 stamps.  During week two, he collected 5 stamps.  During week three, he collected 8 stamps.  During week four, he collected 11 stamps.  If w is the week number, which expression can be used to find the number of stamps Henry collected each week?

    • 2.5w

    • 2w+3

    • 2w

    • 3w-1

    Correct Answer
    A. 3w-1
    Explanation
    The expression 3w-1 can be used to find the number of stamps Henry collected each week. This is because the expression represents the pattern of adding 3 stamps each week, starting from 2 stamps in week one. Subtracting 1 from the week number accounts for the initial 2 stamps collected in week one. Thus, the expression 3w-1 accurately represents the number of stamps collected by Henry each week.

    Rate this question:

  • 33. 

    Rosalba used a sketch to help her build a doghouse.  The sketch is 6 inches long.  The doghouse is 4 feet long.  Which scale factor did Rosalba use to go from the sketch to the actual dog house?

    • 1:8

    • 1:12

    • 2:3

    • 3:2

    Correct Answer
    A. 1:8
    Explanation
    Rosalba used a scale factor of 1:8 to go from the sketch to the actual doghouse. This means that for every 1 inch on the sketch, the actual doghouse is 8 inches long. Since the sketch is 6 inches long, the actual doghouse would be 6 x 8 = 48 inches long.

    Rate this question:

  • 34. 

    Standing at -2.5 on a giant number line, Marco walks to 3.75, then to -6.75, then to -12.5.  What is the total distance Marco walks, if each whole number is equal to one foot?

    • 18.75 feet

    • 20 feet

    • 22.5 feet

    • 29.25 feet

    Correct Answer
    A. 22.5 feet
    Explanation
    Marco starts at -2.5 and walks to 3.75, which is a distance of 6.25 feet. Then, he walks from 3.75 to -6.75, which is a distance of 10.5 feet. Finally, he walks from -6.75 to -12.5, which is a distance of 5.75 feet. Adding up these distances, the total distance Marco walks is 6.25 + 10.5 + 5.75 = 22.5 feet.

    Rate this question:

Quiz Review Timeline (Updated): Jan 6, 2025 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Jan 06, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 17, 2012
    Quiz Created by
    Achavis
Back to Top Back to top
Advertisement