2015-2016 Math 7 Semester 2 Review Guide B

2015-2016 MATH 7 SEMESTER 2 REVIEW GUIDE B

1 / Karen drove a long distance to visit her relatives. She traveled 605 miles in 11 hours. What was her average rate of speed?
A / 11 miles per hour / C / 55 miles per hour
B / 50 miles per hour / D / 605 miles per hour
2 / Janet is 48 inches tall, and Lucy, her younger sister, is 32 inches tall. At 2:30 in the afternoon, Lucy's shadow extends 34 inches. How far does Janet's shadow extend at 2:30 in the afternoon?
A / 23 inches / C / 51 inches
B / 48 inches / D / 72 inches
3 / Which statement BEST explains point A on the graph?

A / At 60 miles, the car has reached its slowestspeed.
B / The car travels 60 miles in 1 hour.
C / The car travels at a constant rate of 1 mile per 60minutes.
D / At 1 hour of driving, the car has reached its greatest speed.
4 / Frank is helping his father make his favorite punch fora family party. The recipe calls for 2 cups of cranberryjuice and makes 6 servings. If they are expecting 21 guests and each guest has one serving, howmany cups of cranberry juice do they need in order toserve all of their guests?
A / 3 cups / C / 10 cups
B / 7 cups / D / 11 cups
5 / Jorge’s father asked him to build a boxtohold firewoodfor their cabin.His fathertoldhim that the boxshould have a volume of 18cubic feetand that it should be 3feetlong ( ) by 2 feet wide ( ).However, Jorge did not hear how tall the box should be, sohe used the volume formula to determine the appropriate height.What should be the height ( ) ofthe box?
A / 1 foot / C / 3 feet
B / 2 feet / D / 4 feet
6 / The rectangle at the right is a scale drawing of a new room for a restaurant.
The scale inch = 2 feet was used to create this drawing. What is the length, in feet, of the diagonal of the new room?
A / 12 feet / C / 32 feet
B / 16 feet / D / 40 feet
7 / The diagram below shows a triangular prism intersected by a plane.
What is the area of the cross section created by the plane?
A / 18 mm2 / C / 30 mm2
B / 24 mm2 / D / 48 mm2
8 / After moving into a newly constructed home, Tim has decided to place sod around the swimming pool in his backyard. The shaded area in this diagram is where Tim would like to place the sod.
How many square feet of sod will he need?
A / 314 ft2 / C / 6,600 ft2
B / 6,286 ft2 / D / 6,914 ft2
9 / What polygons make up the net for a triangular prism?
A / 1 triangle and 1 rectangle / C / 2 triangles and 3 rectangles
B / 4 triangles / D / 1rectangle and 4 triangles
10 / The area of a trapezoid is 160 m2. Its bases are 10 m and 30 m. What is the height?
A / 4m / C / 10 m
B / 8m / D / 120 m
11 / The area of the following triangle is 24 m2.
What is the length of the base (x)?


A / 2.4 m / C / 4.8 m
B / 3 m / D / 6 m
12 / A bowl contains 26 letter tiles. Each tile has a letter from the alphabet written on it. Of these letters 21 are consonants and 5 are vowels. Which group of letter tiles is most likely to be chosen?
A / vowel / C / consonant
B / A letter from N to Z / D / A letter from A to M
13 / In theory, Tony knows that the chance of flipping a coin and having it land on heads is 50%. He also knows that this probability stays the same no matter how many times he tosses the coin. However, he decided to test this probability, and his results for tosses are shown in this table.
HEADS / TAILS
7 / 3
Which statement BEST explains the difference between the theoretical probability and his experimental results?
A / Tony did not toss the coin correctly. / C / Tony did not toss the coin enough times.
B / Tony tossed the coin too many times. / D / There is no explanation for the difference in probabilities.
14 / Ryan’s math group conducted an experiment by spinning this spinner 64 times and recording the results. The spinner landed on an A 26 times.

How does this result differ from the number of times the spinner would be expected to land on an A?
A / It is 6 less than the expectation. / C / It is 10 more than the expectation.
B / It is 10 less than the expectation. / D / It is 18 more than the expectation.
15 / Jorge visits the convenience store near his house each day to buy a frozen drink. The store sells a different color of the drink each day, but there is no pattern to which color of the drink is sold on a particular day. Jorge recorded each color of the drink and the number of times that color was available over a three-week period. The results are shown in the table below.
Color / Number of Times Available
Red / 6
Blue / 3
Green / 7
Yellow / 5
If Jorge’s favorite frozen drink is red, what is the probability that it will be the drink available when Jorge goes to the store today?
A / / C /
B / / D /
16 / The McCarthys have three children. What is the probability that the children are all boys?
Use a tree diagram or a table to compute the probability of this event.
A / / C /
B / / D /
17 / A student flips a coin twice and then rolls a number cube that is numbered from 1 to 6. What is the probability of the coin landing on heads both times and rolling an even number on the number cube?
A / / C /
B / / D /
18 / Katie took two different polls of her classmates to predict the winner of the upcoming student council elections. Below are graphs of the results of the two different polls.
Which poll is the BEST representation of what might happen on election day?

A / Neither poll is representative because they predict different winners.
B / Both polls are representative because they are all students at the school.
C / The poll of Katie’s homeroom because it’s a smaller number of students.
D / The poll of every 10th student is best because it represents a cross-section of all students.
19 / The lockers at Washington Middle School were going to be painted one of the school colors: blue or red. The principal wanted the students to choose the color. Rather than asking all 400 students in the school, the principal asked samples of students about their color choice in two surveys.
For Survey 1, a random sample of 10 students was surveyed. In this sample, 6 students chose blue, and 4 students chose red.
For Survey 2, a random sample of 100 students was surveyed. In this sample, 44 students chose blue, and 56 students chose red.
Which statement is the BEST conclusion about the surveys?
A / Both surveys supported the idea that most students wanted blue lockers.
B / A random sample of 40 students would have provided more accurate results than Survey 1 and Survey 2
C / The results from Survey 1 were more valid because a smaller sample provides less room for error.
D / The results from Survey 2 were more valid because a larger sample was used.
20 / The graph at the right shows the favorite subjects of first year students at the local college.
Maria picked 40 first-year students at random from the college and asked them their favorite subject. What is the MOST LIKELY number of students who chose science?
A / 1 / C / 10
B / 4 / D / 40
21 / The box-and-whisker plot shows the test scores that students earned on the pre-test that they took before a unit was taught and the post-test that they took after the unit was taught. Which best describes the relationship between the two data sets?

A / No pre-test scores overlap with post-test scores.
B / All of the pre-test scores overlap with all of the post-test scores.
C / The lowest post-test score is lower than the highest pre-test score
D / The lowest pre-test score is equal to the lowest post-test score.
22 / Which data set has a median with the greatest value?
A / {4, 3, 6, 5, 3, 6, 4, 9, 4, 8} / C / {32, 40, 32, 50, 33, 36}
B / {32, 35, 65, 21, 32, 45, 34} / D / {86, 29, 28, 99, 33, 101, 30}
23 / A newspaper claims that during seven days, the high temperature in Utica was typically 6° warmer than the high temperature in Sterling Heights. What measure was used to make this claim?
Daily High Temperatures (°F)
Sterling Heights
75 50 80 72 70 84 70
Utica
80 73 75 74 71 76 76
A / The Mean / C / The Median
B / The Mode / D / The Range
24 / Kristin spun the spinner at the right 100 times.
Which of the following results is most likely to occur?

Red / Blue
A / 10 / 90
B / 80 / 20
C / 25 / 75
D / 50 / 50
25 / Julie has $1450 in her savings account. The simple interest rate on her account is 2%. She wants to leave the money in her account for 10 years to help buy a new car. What amount of interest will she earn in 10 years?
A / $2900 / C / $29
B / $290 / D / $145
26 / Mark has $2050 in his savings account. The simple interest rate on his account is 1.5%. He wants to leave the money in his account for 5 years to help pay for baseball camp. What will be the new balance in his savings account after 5 years?
A / $153.75 / C / $2203.75
B / $15,375 / D / $10,250
27 / On Monday, Alexa went to Cedar Point to buy a daily pass for $40. When she got to the gate, she discovered that junior high students receive a 15% discount. What was the sale price of the daily pass?
A / $46.00 / C / $25.00
B / $34.00 / D / $39.40
28 / Mark bought $72 worth of souvenirs while on vacation in Hawaii. If the sales tax rate was 4%, what was his total including sales tax?
A / $2.88 / C / $76
B / $74.88 / D / $90
29 / The diameter of a cylindrical garbage can is 24 inches. What is its approximate circumference? (Use 3.14 for .)
A / 75.36 inches / C / 235.50 inches
B / 113.04 inches / D / 452.16 inches
30 / Horseflies / 0.4 / 1.1 / 0.9 / 0.7 / 0.8 / 1.0 / 0.6 / 0.4 / 0.7 / 0.9
Fruit flies / 0.2 / 0.2 / 0.1 / 0.3 / 0.2 / 0.1 / 0.2 / 0.1 / 0.3 / 0.2
Matt measured 10 horseflies and 10 fruit flies. He made a table of his measurements with lengths to the nearest tenth of an inch.
Which conclusion can BEST be made about the lengths of the two types of flies?
A / The two types of flies have the same mean lengths. / C / The range of the fruit fly lengths is three times greater than the range of the horsefly lengths.
B / The two types of flies have the same range of lengths. / D / The mean of the horsefly lengths is more than three times the mean of the fruit fly lengths.