7th Grade Math Midterm Exam

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

• 1/9

• 1/2

• 1/4

• 1/8

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%

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%

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

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

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

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

• 2/15

• 3/8

• 3/10

• 1/4

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

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

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

• 40%

• 45%

• 50%

• 80%

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

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

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

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

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

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

• 5

• 7

• 12

• 14

• 8

• 16

• 40

• 64

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

• 62m

• 1/3

• 60m+8

• 63m-4

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

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

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

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

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

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

• 10

• 15

• 19

• 33

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

• (4,2)

• (5,2)

• (5,3)

• (6,2)

What is the value of this expression?

• -6

• 0

• 15

• 36

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

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

• 31

• 40

• 51

• 59

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

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