7th Grade Math Practice Questions PDF

Name: Class: Date: Question #1 The two right triangles in the figure below are similar because each hypotenuse lies along the same line. What are the coordinates of point B? A (10, 1) B (3, 11) C (12, 2) D (4, 6) Question #2 An object that weighs 20 pounds on Mercury weighs ap...

Name: Class: Date: Question #1 The two right triangles in the figure below are similar because each hypotenuse lies along the same line. What are the coordinates of point B? A (10, 1) B (3, 11) C (12, 2) D (4, 6) Question #2 An object that weighs 20 pounds on Mercury weighs approximately 50 pounds on Earth. A rock weighs 200 pounds on Mercury. What is the approximate weight of the rock, in pounds, on Earth? A 80 B 170 C 270 D 500  Question #3 Antonio's Pizza shop earned a profit of $245,000 for this year. Last year they earned a profit of $315,000. What is the percent of decrease in profit? Round to the nearest whole percent. A 22% B 24% C 28% D 29% Question #4 The diagram shows four points on the graph of the line y = 2x + 1. Which is the best strategy for showing that the slope of the line between points A and B is equal to the slope of the line between points D and E? ¯ ¯ ¯ ¯ BC ⊥ AC A Show that EF ⊥ DF BC = EF and , and conclude that AC DF. ¯ ¯ ¯ ¯ BC ⊥ AC B Show that EF ⊥ DF m∠BAC = m∠EDF and , and conclude that. C Show that △ABC ∼ △DEF , and conclude that m∠BAC = m∠EDF. D Show that △ABC ∼ △DEF , and conclude that BC AC = EF DF. Question #5 The coordinate plane shows two similar right triangles, each with its hypotenuse on the same line. Which of the following shows why the slope of the hypotenuse for each triangle is the same? A −6−(−10) 10−2 = −2−(−4) 6−10 B 6−2 −2−(−4) = −6−(−10) 10−2 C −2−(−4) 6−2 = −6−(−10) 10−2 D −6−(−10) 10−2 = 6−2 −2−(−4) Question #6 Loren is running in a long distance race. She is able to keep a steady pace of 10 feet per second. Which line on the graph represents how many feet she runs over time? A line A B line B C line C D line D Question #7 The graph below shows the distance, d, that Ian drives his car over time, t. Rachel says she drives more slowly than Ian. Which equation can represent the distance Rachel drives over time? A d = 60t B d = 70t C d = 50t D d = 40t Question #8 Which graph correctly displays the cost of jeans at $20 per pair? A B  C D Question #9 Franklin needs 1.25 meters of ribbon to wrap each gift. He has a tape of ribbon that contains 25 feet of ribbon. One meter is equivalent to approximately 3 feet. Approximately how many gifts of the same dimension can he wrap with 25 feet of the ribbon? A 6 gifts B 4 gifts C 8 gifts D 20 gifts Question #10 At Elmwood Middle School there are 4 teachers for every 68 students. There are 425 students enrolled at the school. How many teachers are needed? A 17 B 21 C 25 D 28 Question #11 A florist ordered a shipment of red, blue, and white flowers to use for table decorations at a banquet. The ratio of red : blue : white flowers in the shipment is 3 : 1 : 2. There are 60 white flowers in the shipment. What is the total number of flowers in the shipment? A 120 flowers B 180 flowers C 240 flowers D 360 flowers Question #12 You deposited $500 in the bank. If the bank pays you interest compounded quarterly at the rate of 4 percent per year, how much money will you have in your account at the end of 9 months? A $515 B $515.15 C $15 D $15.15 Question #13 A movie critic rates movies on a scale of 4 stars (excellent) to 1 star (worthless). A summary of her ratings for 20 movies is shown in the table. If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars? A 35 B 27 C 47 D 50 Question #14 There are 205 students in the 6th grade at Peter’s school. For a class project, Peter chooses to ask all of the 6th graders a statistical question. Which question is a good statistical question? A What is your height measured to the nearest inch? B What school do you go to? C How long is your second period class? D How many letters are in the word statistical? Question #15 During the campaign for class president, Lia surveyed students at her school on which candidate each planned to vote for. The results are shown in the table below. Class President Survey Candidate Number of Votes in Survey Ricky Sanchez 65 Tom O’Toole 30 Mike Briggs 25 Mia Andres 80 Based on her survey, Lia concluded that Mike Briggs would lose because he would only receive 25% of the votes. How did Lia misinterpret the survey data? A Lia predicted the results before they actually happened. B Lia interpreted the data during the campaign instead of after it. C Lia miscalculated the percent of votes Briggs was expected to receive. D Lia’s survey was not realistic because the number of possible votes should have totaled 100. Question #16 The ratio of diet soft drinks in a cooler to regular soft drinks is 2:1. Megan pulls out 12 cans from the top of the cooler. Nine of the cans are regular soft drinks and three are diet. Charles pulls out 12 more cans from different places in the cooler. He pulls out eight diet soft drinks and four regular soft drinks. Why might Megan dispute the ratio of 2 diet soft drinks to 1 regular soft drink in the cooler? A because she did not replace the cans B because of the number of cans she chose C because she does not like diet soft drinks D because of where she chose the sample from Question #17 Linnea wants to find out which types of movies are the most popular at her school. Which of the following groups is the most representative sample for her to survey? A 25 students in the cafeteria B 25 students waiting in line for an action movie C 5 students waiting in line for an action movie D 5 students in the cafeteria Question #18 An insurance company wants to survey its policy holders to find out about the quality of care they receive at a certain hospital. Which of the following recommendations is most important in choosing a representative sample of people to survey? A The questions selected for the survey should be easy for the sample population to understand. B The sample should be selected from all policy holders who respond to an online request for volunteers. C The questions selected for the survey should be limited to asking only about hospital services. D The sample should be selected at random from all policy holders who have used the hospital. Question #19 Which conclusion reflects a sampling bias? Question # of People People Surveyed Result Conclusion Should students and summer Summer vacation 500 teachers at 100% Yes vacation be should be longer. Central School longer? 75%Brad Pitt, 10% Who is your The most popular people walking Matt Damon, 10% favorite male 500 male movie star is down the street George Clooney, 5% movie star? Brad Pitt. Tom Cruise 80% Baseball, 10% What is your people shopping Baseball is the most 500 Football, 10% favorite sport? at a mall popular sport. Soccer A Summer vacation should be longer. B The most popular male movie star is Brad Pitt. C Baseball is the most popular sport. D None of the conclusions reflect a sampling bias. Question #20 Carl wants to estimate the number of students in 5th grade who like to play basketball. He needs to create a random sample of students. How should Carl collect his sample? A Carl should ask 30 students who are playing basketball. B Carl should ask 30 5th-grade students. C Carl should ask 30 students who go to the same school. D Carl should ask 30 students who are playing football. Question #21 A large bag contains red, blue, green, and yellow candies. Seth grabbed a handful and counted 12 red, 15 blue, 6 green, and 7 yellow candies. If the bag contains a total of 800 candies, which is the best prediction for the total number of blue or red candies in the bag? A 300 B 400 C 540 D 675 Question #22 The student council wanted to find out which sports were most popular in school. A random sample of 25 students were chosen from the whole school population of 450. These students were asked to vote for the sport they liked the most at school. The results are shown in the table below. Use these sample data to calculate the popularity of the sports listed in the table for the whole school population. Determine if the statements below are true or false. True False About 54 students in the whole school like basketball the most. Thirty-six percent of the whole school population would vote that they liked none of the listed sports. Over half of the whole school population would vote for football as the most popular sport. The same percentage of students like cross country and track and field as baseball or softball. Question #23 Alyssa and James are running for 7th grade class president. Four students each polled 25 different students to predict the winner of the election. The poll results are shown in the table. Number of Students Planning to Number of Students Planning to Poll Vote for Alyssa Vote for James 1 16 9 2 12 13 3 14 11 4 15 10 A total of 200 students will vote in the election. What is the range in the number of votes for Alyssa predicted by these four polls? A 43 to 57 votes B 72 to 104 votes C 96 to 128 votes D 120 to 160 votes Question #24 The two right triangles in the figure below are similar because each hypotenuse lies along the same line. What are the coordinates of point D? Drag and drop the correct coordinates into the box.