UCS MATH 7 Semester 2 Exam---REVIEW A. How much do customers save per chicken strip if they buy the larger quantity?

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1 US MTH 7 Semester 2 Exam---REVIEW 1 hicken strips at a restaurant sell for the following prices: 4 pieces for $ pieces for $3.00 How much do customers save per chicken strip if they buy the larger quantity? $0.10 $0.30 $0.20 $ Forty-five out of seventy-five students earned an on a science exam. Which of the following is an equivalent way to write this ratio? 3 Last week, Ms. Harris paid $250 for 40 hours of child care. Which statement describes the rate Ms. Harris paid for child care? She paid $0.16 per hour. She paid $9.60 per hour. She paid $6.25 per hour. She paid $16.00 per hour.

2 4 Katie decided to paint a new picture. This time, for every 3 striped squares, she painted 2 shaded squares. When she was done, she had painted 8 shaded squares. What proportion could be used to find how many squares were striped? 5 Which statement is true for the point in the graph? bout 30 pints of potatoes are needed for 78 meals. bout 78 pints of potatoes are needed for 30 meals. fter 78 meals are served, about 30 pints of potatoes are not used. fter 30 meals are served, about 78 pints of potatoes are not used. 6 iego is volunteering as a counselor at a children's camp. The ratio of counselors to campers must be at least 1:8. If 100 children have signed up for the camp, how many counselors are needed?

3 7 Mary had $3,500 in her saving account. It earns 3% simple interest each year. If she leaves the money in the account for 8 years, how much interest would she earn? $146 $8,400 $840 $9,333 8 Rocco went to a sporting goods store to buy his World up soccer jersey for a regular price of $70. When he arrived at the register he was told that is was on sale with a 25% discount. What was the sale price of the jersey? $87.50 $52.50 $45.00 $ John and his family had dinner at uffalo Wild Wings. Their original bill was $ They were charged 6% tax on their original bill. They also left an 18% tip on the original bill. What was their total bill including tax and tip? $11.34 $77.00 $87.00 $ Martha drew a scale model of her house. Her key stated that for every 2 inches on her drawing, the actual length of the house was 20 feet. On her drawing, one side of the house measured 8 inches in length. What was the actual length of this side of her house? 80 feet 192 feet 96 feet 288 feet

4 11 rectangular pyramid is sliced by a plane that is perpendicular to the base of the pyramid as shown. Which EST describes the resulting face of the slice? Rectangle Trapezoid Square Triangle 12 The diameter of a cylindrical garbage can is 24 inches. What is its approximate circumference? (Use 3.14 for.) inches inches inches inches 13 Troy has a box of 600 tiny blocks. Each block is a cube with dimensions of 1 cm x 1cm x 1cm. The blocks are arranged in the box in rows and layers so that there are no gaps. Which could be the dimensions of the box? 5 cm x 10 cm x 12 cm 10 cm x 10 cm x 12 cm 5 cm x 10 cm x 10 cm 200 cm x 200 cm x 200 cm 14 arlos and his friends are camping in a tent that is in the shape of a triangular prism. The tent is 6 feet long. Each end of the tent is in the shape of an equilateral triangle with a side length of 4 feet and an altitude of 3.5 feet. If all the surfaces of the tent are covered, including the ground layer, how much fabric was used to make the tent? 14 square feet 72 square feet 42 square feet 86 square feet

5 15 What 3-dimensional solid is represented by the net to the right? one ircular Pyramid ylinder Triangular Pyramid 16 Find the area of the figure below. 24 m 9 m 7 m 9 m 8.5 m 32.5 m m m m 2 17 Find the area of the following triangle. 12 square feet 24 square feet 15 square feet 30 square feet

6 18 The number of males and females at the movie theater are shown in the table below. Females 7 Males 8 One person is chosen at random to receive a free bucket of popcorn. What is the probability that the person is female? 19 Joe is conducting a survey for his social studies class. He asked 50 fellow students what their favorite subject is. His results are listed below. What percentage of classmates chose the most popular subject? MTH 9 ENGLISH 19 SIENE 11 PHYS E 4 SOIL STUIES 7 8% 22% 14% 38% 20 The bookstore at Jeanette s school sells 4 different colored pens: blue, black, red, and purple. They come in 2 types, erasable and non-erasable. Equal numbers of all colors and types of pens are distributed to students at random. What is the probability that a student will receive a red erasable pen?

7 21 The sandwich choices at Mandy's Sandwich Shop are shown in this table. customer must pick one type of bread and one type of filling. Types of read White Wheat Rye Sourdough Types of Fillings Tuna Salad Egg Salad Ham Salad What is the probability that a customer will choose egg salad on sourdough bread? 22 For a probability experiment, bel was given a coin with heads and tails and a standard number cube (a die). If he tosses the coin and rolls the cube, what is the probability that bel will get heads on the coin and a 3 on the cube? 23 heryl has a V collection that includes 12 comedies, 8 cartoons, and 10 action movies. She randomly chooses 2 movies from her collection and sits down to watch them in the order they were selected. What is the probability that she watches a comedy movie first and then an action movie?

8 24 The Plymouth Swim lub has 252 swimmers on 21 swimming teams. The director is trying to determine the club s average time for the 4 -meter freestyle event. Rather than include the times of all 252 swimmers, he decides to do a random sample using the times of 4 members of each team. Which method will generate a random sample of swim times? Use the times of the 4 best swimmers on each team Use the times of the 4 worst swimmers on each team rrange the swimmers in alphabetical order and use the times of the first 4 swimmers on each list rrange the swimmers in order of most medals won and choose the first 4 from that list. 25 Three friends had a basketball shooting contest to see who could make the most shots. They determined the winner of the contest to be Luis because he had a mode of 5 shots. The table below shows the number of shots made in each round of the contest. Why might there be a better choice than Luis as the winner of the contest? asketball Shots Made Round Tim Luis Sara Tim had a higher mode than Luis. The mode is not always the best indicator of success. Sarah had a higher mode than Luis. The mode was not able to be found in the table.

9 26 random sample of students in a school were polled about which electives they had chosen this year. The results were recorded in a table. Which inference EST describes the student population at this school? Elective Number of Students Music 34 Gym 89 rt 15 Foreign Language 62 The students prefer to be active. The students have many foreign friends. The students avoid listening to the radio. The students have a high interest in painting. 27 The box-and-whisker plot shows students times in the 1 -meter freestyle swim, in seconds, in the first two rounds of a swim meet. Which best describes the relationship between the two sets of data? None of the first round times overlap with second round times. ll of the first round times overlap with all of the second round times. The upper half of first round times overlaps with the lower half of second round times. The lower half of first round times overlaps with the upper half of second round times.

10 28 The members of the Model ar lub split into teams for the annual distance trials. uring the trials, each teammate measured the distance in feet that his or her model car traveled. The results of the trial are shown below. Write a few statements to describe the relationship between the two sets of data. 29 Which data set has a mean with the largest value? {78, 90, 1, 3, 98, 3} {8, 7, 13, 20, 9, 16, 13, 4, 8} {55, 43, 54, 55, 54, 50} {1, 1, 1, 2, 99, 3, 2, 2} 30 Matt measured 10 horseflies and 10 fruit flies. He made a table of his measurements with lengths to the nearest tenth of an inch. Horseflies Fruit flies Which conclusion can EST be made about the lengths of the two types of flies? The two types of flies have the same mean lengths. The two types of flies have the same range of lengths. The range of the fruit fly lengths is three times greater than the range of the horsefly lengths. The mean of the horsefly lengths is more than three times the mean of the fruit fly lengths.

11 31 Jake spun the spinner below 50 times. R M H X Which of the following results is most likely to occur? R 5 M 32 H 4 X - 9 R 5 M 13 H 4 X - 28 R 6 M 19 H 6 X - 19 R 20 M 3 H 21 X The distance a train travels over time is shown in the line graph below. t what rate of speed does this train travel? 10 miles per hour 50 miles per hour 40 miles per hour 60 miles per hour

12 33 Vana flew 1745 miles from hicago to Los ngeles to visit her friend. The key on Vana s map shows that 1 inch represents 5 miles. If x represents the number of inches between hicago and Los ngeles on Vana s map, which proportion could be used to determine x? 34 George spun the spinner at the right 60 times. How many times could he expect Red to be spun?

13 Name: ate: Hr: MTH 7 SEMESTER 2 REVIEW GUIE Open Ended 1 Karen drove a long distance to visit her relatives. She traveled 605 miles in 11 hours. What was her average rate of speed? 2 assie counted the number of bike riders wearing helmets on a bike path. She saw 48 riders wearing helmets out of 60 riders in all. Write an equivalent ratio. 3 Mark read a 98-page science fiction book. It took him 32.5 minutes on Friday evening and 16.5 minutes on the following Saturday morning to read the entire book. How many pages per minute did Mark read? 4 Janet is 48 inches tall, and Lucy, her younger sister, is 32 inches tall. t 2:30 in the afternoon, Lucy's shadow extends 34 inches. How far does Janet's shadow extend at 2:30 in the afternoon? 5 Interpret point on the graph. 6 Frank is helping his father make his favorite punch for a family party. The recipe calls for 2 cups of cranberry juice and makes 6 servings. If they are expecting 21 guests and each guest has one serving, how many cups of cranberry juice do they need in order to serve all of their guests?

14 7 Jorge s father asked him to build a box to hold firewood for their cabin. His father told him that the box should have a volume of 18 cubic feet and that it should be 3 feet long ( ) by 2 feet wide ( ). However, Jorge did not hear how tall the box should be, so he used the volume formula to determine the appropriate height. What should be the height ( ) of the box? 8 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? 9 The diagram below shows a triangular prism intersected by a plane. What is the area of the cross section created by the plane? 10 fter 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?

15 11 What polygons (and how many of each) make up the net for a triangular prism? 12 The area of a trapezoid is 160 m 2. Its bases are 10 m and 30 m. What is the height? 13 The area of the following triangle is 24 m 2. What is the length of the base (x)? 14 rad put a fence around his rectangular dog pen, as shown to the right. Which rectangular dog pen has the same area as rad s dog pen, but needs a different number of feet of fence to go around it?

16 15 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? vowel consonant letter from N to Z letter from to M 16 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. HES TILS 7 3 Which statement EST explains the difference between the theoretical probability and his experimental results? Tony did not toss the coin correctly. Tony did not toss the coin enough times. Tony tossed the coin too many times. There is no explanation for the difference in probabilities. 17 Ryan s math group conducted an experiment by spinning this spinner 64 times and recording the results. The spinner landed on an 26 times. How does this result differ from the number of times the spinner would be expected to land on an?

17 18 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. Number of olor Times vailable Red 6 lue 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? 19 The Mcarthys 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. 20 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?

18 21 Katie took two different polls of her classmates to predict the winner of the upcoming student council elections. elow are graphs of the results of the two different polls. Which poll is the EST representation of what might happen on election day? Neither poll is representative because they predict different winners. oth polls are representative because they are all students at the school. The poll of Katie s homeroom because it s a smaller number of students. The poll of every 10 th student is best because it represents a cross-section of all students. 22 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 EST conclusion about the surveys? oth surveys supported the idea that most students wanted blue lockers. random sample of 40 students would have provided more accurate results than Survey 1 and Survey 2 The results from Survey 1 were more valid because a smaller sample provides less room for error. The results from Survey 2 were more valid because a larger sample was used.

19 23 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? 24 The box-and-whisker plot shows the test scores that students earned on the pretest 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? No pre-test scores overlap with post-test scores. ll of the pre-test scores overlap with all of the post-test scores. The lowest post-test score is lower than the highest pre-test score The lowest pre-test score is equal to the lowest post-test score. 25 Which data set has a median with the greatest value? {4, 3, 6, 5, 3, 6, 4, 9, 4, 8} {32, 40, 32, 50, 33, 36} {32, 35, 65, 21, 32, 45, 34} {86, 29, 28, 99, 33, 101, 30}

20 26 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? (mean, median, mode or range) aily High Temperatures ( F) Sterling Heights Utica Kristin spun the spinner at the right 100 times. Which of the following results is most likely to occur? Red 10 lue 90 Red 80 lue 20 Red 25 lue 75 Red 50 lue 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? 29 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? 30 On Monday, lexa went to edar 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? 31 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?