leap math midtest - 7 (5 gt)

3/15/2015LEAP Math Midtest ­ 7 (5 GT) LEAP Math Midtest - 7 (5 GT)  Correct   Partial Credit   Incorrect 1.   On Tuesday, Elena completed 20 items of her math homework in 36 minutes. At that same rate, how long will it take her to complete 35 items for Wednesday's math homework? (1 point) (0 pts) 71 minutes (1 pts) 63 minutes (0 pts) 41 minutes (0 pts) 35 minutes 1 point 2.   Jackie ran fifty yards at an average speed of 21 feet per second. What was her average speed in feet per minute? (1 point) (1 pts) 1,260 (0 pts) 7,560 (0 pts) 1.75 (0 pts) 0.35 1 point 3.   The length of each side of a square is 2.5 meters. If each side is doubled in length, what is the effect on the perimeter of the square? (1 point) (0 pts) It remains the same. (0 pts) It is one half the original perimeter. (0 pts) It is four times the original perimeter. (1 pts) It is twice the original perimeter. 1 point 4.   Olga ran 5 kilometers in 37 minutes. Which could Olga use to determine m, the number of minutes she would take to run 25 kilometers at this rate? (1 point) (0 pts) (0 pts) (1 pts) (0 pts) https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 1/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) 1 point 5.   Elizabeth is draining the water from a public pool. The pool is being drained at a rate of 714 gallons per hour. Which graph appears to show this rate? (1 point) (0 pts) (0 pts) (0 pts) https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 2/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) (1 pts) 1 point 6.   In the coordinate plane below, the equation of the line that passes through the points O(0,0) and A(1,n) is: (1 point) (1 pts) y = nx (0 pts) n = x/y (0 pts) x = ny (0 pts) y = n/x 1 point 7.   Brian borrowed $375 to pay for a lawn mower. At the end of the year he will repay the money plus 11% interest. What is the total amount Brian will repay? (1 point) (1 pts) $416.25 (0 pts) $412.50 (0 pts) $408.75 (0 pts) $404.60 1 point 8.   What value of  x makes this proportion true? https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 3/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) (1 point) (0 pts) 468 (0 pts) 120 (1 pts) 260 (0 pts) 13 1 point 9.   Which number line represents this expression? –8 + 5 (1 point) (0 pts) (1 pts) (0 pts) (0 pts) 1 point 10.   Tina was writing a report about the weather in Fairbanks, Alaska. Tina included this information about the weather in Fairbanks in her report. •Average Summer Temperature: 61 °F •Average Winter Temperature: –12 °F What was the difference between the average summer temperature and the average winter temperature in °F? https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 4/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) (1 point) (0 pts) 24.5 (0 pts) 49 (0 pts) 61 (1 pts) 73 1 point 11.   Which of these figures models the difference between  and ? (1 point) (1 pts) (0 pts) (0 pts) (0 pts) 1 point 12.   What is the value of the expression below? (1 point) (0 pts) –8 (0 pts) 6 (1 pts) –6 (0 pts) 8 1 point 13.   The following shows Stella's answer to a problem on a math test. 3(1 + 2) https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 5/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) Stella's friend gave the following answer for the same problem. 3·1+3·2 Which shows why their answers are the same? (1 point) (0 pts) a + bc = (a + b)(a + c) (0 pts) a + bc = ab + ac (0 pts) a(b + c) = (a + b)(a + c) (1 pts) a(b + c) = ab + ac 1 point 14.   Which set contains three equivalent numbers? (1 point) (0 pts) (1 pts) (0 pts) (0 pts) 1 point 15.   What is the value of this expression? (4.08)(0.7) (1 point) (1 pts) 2.856 (0 pts) 2.956 (0 pts) 3.036 (0 pts) 3.36 1 point 16.   Natalie drives 2.4 miles round trip each time she goes to the grocery store. Which expression can Natalie use to determine the number of miles she drives in 8 round trips to the grocery store? (1 point) (0 pts) 8 + 2.4 https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 6/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) (0 pts) 8 ÷ 2.4 (1 pts) 8 · 2.4 (0 pts) 8 – 2.4 1 point 17.   Bethany added a decorative border across the top of each wall of her kitchen. A diagram of her kitchen is shown below. She used a total of 62 feet of border. What is the length in feet of the unlabeled wall? (1 point) (0 pts) 5 (1 pts) 10 (0 pts) 8 (0 pts) 13 1 point 18.   A contractor completed the construction of two buildings last year. The Kelso Building cost $84.5 million to complete. The Jones Building cost $33.8 million to complete. Which statement is true when comparing the costs of the buildings? (1 point) (1 pts) The Kelso Building cost     times the cost of the Jones Building (0 pts) The Jones Building cost     the cost of the Kelso Building (0 pts) The Jones Building cost    the cost of the Kelso Building (0 pts) The Kelso Building cost    times the cost of the Jones Building 1 point https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 7/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) 19.   What is the value of this expression when x = 5, y = 7, and z = –8? x2 y + 3z (1 point) (0 pts) 46 (0 pts) 94 (1 pts) 151 (0 pts) 199 1 point 20.   Juan copied this expression from the board. Using the order of operations, what should be the second step in finding the value of the expression? (1 point) (0 pts) (0 pts) (0 pts) (1 pts) 1 point 21.   What is the value of this expression? (8 + 3)2 + 4 · (–3) (1 point) (1 pts) 109 (0 pts) 103 (0 pts) –63 (0 pts) –375 1 point 22.   Which is equivalent to the inequality shown below? (1 point) (0 pts) (0 pts) https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 8/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) (0 pts) (1 pts) 1 point 23.   Which is equivalent to this expression? (1 point) (0 pts) (1 pts) (0 pts) (0 pts) 1 point 24.   Melissa bought 12 packages of stickers that cost $1.94 each before tax and 18 packages of paper that cost $3.29 each before tax. Which estimate is closest to the total cost before tax? (1 point) (0 pts) $60 (0 pts) $70 (1 pts) $80 (0 pts) $90 1 point 25.   Ramon's cat eats 30 ounces of cat food in 6 days. Which is equivalent to ? (1 point) (1 pts) (0 pts) (0 pts) (0 pts) https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 9/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) 1 point 26.   Tanya wants to gift-wrap a container that is in the shape of a right circular cylinder. The radius and height of the container are given below in centimeters. Which estimate is closest to the minimum amount of giftwrap Tanya needs to cover the entire container? (1 point) (0 pts) 120 cm2 (1 pts) 132 cm2 (0 pts) 432 cm2 (0 pts) 216 cm2 1 point 27.   Last week Paul earned a total of $300. He earned $12 per hour plus a $60 bonus. The equation below can be used to determine h, the number of hours Paul worked last week. 12h + 60 = 300 How many hours did Paul work last week? (1 point) (0 pts) 35 (0 pts) 25 (0 pts) 30 (1 pts) 20 1 point 28.   The lengths in inches of the sides of an isosceles triangle are shown below. What is the value of x, the length in inches of the base of the triangle? https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 10/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) (1 point) (0 pts) 55 (0 pts) 24 (1 pts) 12 (0 pts) 8 1 point 29.   Which number line best represents the inequality below? (1 point) (1 pts) (0 pts) (0 pts) (0 pts) 1 point 30.   The diagram below represents a scale drawing of a garage Chan plans to build. The diagram uses a scale of     inch to represent 2 feet. In the scale drawing, the length of the garage is  will be the actual length of the garage?  inches. What (1 point) https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 11/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) (0 pts) 18 feet (1 pts) 20 feet (0 pts) 16 feet (0 pts) 14 feet 1 point 31.   Charlotte wants to put a copy of a picture on her website. She wants the copy to be similar in shape, but reduced in size, as shown below. What should be the value of h, the height in centimeters of the copy? (1 point) (0 pts) 2.5 (0 pts) 7.5 (1 pts) 9.0 (0 pts) 15.0 1 point 32.   The coordinates of three vertices of a rectangle are shown on the grid. Which could be the coordinates of the fourth vertex? https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 12/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) (1 point) (1 pts) (3, –2) (0 pts) (3, –1) (0 pts) (–2, 3) (0 pts) (4, –2) 1 point 33.   The picture shows the top view of a toy. Which could be the shape of the toy? (1 point) (0 pts) Square pyramid (0 pts) Triangular prism (0 pts) Square prism (1 pts) Triangular pyramid 1 point 34.   Bobbie wants to plant a flower garden in her yard. She raked out the circular garden area shown below. Now she wants to estimate the area of the garden. Bobbie knows that her rake is 5 feet long. Which estimate is closest to the area in square feet of the garden? (1 point) (0 pts) 60 (1 pts) 310 https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 13/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) (0 pts) 180 (0 pts) 80 1 point 35.   The diagram shows the angles formed by two intersecting lines. Which statement is true for any measure of ? (1 point) (0 pts)  and are complementary angles. (0 pts)  and are complementary angles. (1 pts)  and  are supplementary angles. (0 pts)  and  are supplementary angles. 1 point 36.   Mary cut a rectangle that is 10 centimeters long and 7 centimeters wide out of construction paper. She cut out a second rectangle that was also 10 centimeters long, but twice as wide as the first rectangle. How many times the area of the first rectangle is the area of the second rectangle? (1 point) (1 pts) 2 (0 pts) 4 (0 pts) 3 (0 pts) 6 1 point 37.   Nadia plans to paint her jewelry box. The box is shaped like a rectangular prism with the dimensions shown. https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 14/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) Which is closest to the total surface area of the jewelry box? (1 point) (0 pts) 68 in.2 (0 pts) 96 in.2 (0 pts) 88 in.2 (1 pts) 132 in.2 1 point 38.   Some seventh-grade boys and girls were surveyed to find out if they preferred reading or watching television. The results of the survey are shown in the table below. Based on these results, the surveyor concluded that seventh-grade girls prefer reading more than seventh-grade boys do. Which statement explains why this conclusion may be wrong? (1 point) (0 pts) One outdoor activity needs to be included in the preferences. (1 pts) The numbers of boys and girls surveyed were not the same. (0 pts) Girls and boys don't watch the same programs on television. (0 pts) The surveyor should have included data from eighth graders. 1 point 39.   Marsha wanted to survey the students in the eighth grade about their favorite type of music. Which group of students could she ask so that her sample is random? (1 point) (0 pts) 10 eighth-grade boys and 10 eighth-grade girls (0 pts) Every 20th student on the entire eighth-grade roster (1 pts) 20 names of the entire eighth-grade roster pulled from a box (0 pts) The first 20 eighth-grade students leaving the cafeteria 1 point 40.   The graph below shows the average wind speed per month in Abilene from January through August. https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 15/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) Which prediction can be supported by the information on the graph? (1 point) (1 pts) The next year that these averages are calculated, the average wind speeds for all of these months will be greater than 6 mph. (0 pts) In the month of October, of the same year as the information on this graph, the wind speed will be less than 8 mph. (0 pts) The next year that these averages are calculated, the average wind speeds for March, April, May, and June will be the same. (0 pts) The average wind speed will always be lower in August than it is in July. 1 point 41.   The Beeville City Council surveyed 500 Beeville citizens. Of those surveyed, 350 citizens named summer as their favorite season. Based on the survey results, how many of the 36,500 Beeville citizens would most likely name summer as their favorite season? (1 point) (0 pts) 27,000 (0 pts) 10,950 (0 pts) 18,000 (1 pts) 25,550 1 point 42.   The cafeteria workers at Sammy's school want to know which ice cream flavor they should buy in the largest amount. They decided to conduct a student survey to help find the answer. Which is the best question for their survey? (1 point) (0 pts) How often do you eat ice cream with your lunch? (1 pts) What is your favorite flavor of ice cream? (0 pts) Do you prefer ice cream or cake? (0 pts) Do you like chocolate ice cream? 1 point https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 16/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) 43.   A pizza chef recalled how many pizzas he had made during the past 5 days. What is the median of the numbers? (1 point) (1 pts) 9 (0 pts) 10 (0 pts) 7 (0 pts) 8 1 point 44.   Pat has 6 red, 1 yellow, 3 green, and 2 blue balloons. If she picks 1 balloon at random, what is the probability that the balloon will be green? (1 point) (0 pts) (0 pts) (1 pts) (0 pts) https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 17/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) 1 point 45.   If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a two? (1 point) (0 pts) 6 (1 pts) 1 (0 pts) 2 (0 pts) 0 1 point 46.   Jennifer flipped a pair of coins 60 times. On 24 occasions, heads appeared on both coins. How is this outcome different from the expected outcome? (1 point) (0 pts) It occurred 6 fewer times than expected. (0 pts) It occurred 4 more times than expected. (1 pts) It occurred 9 more times than expected. (0 pts) It occurred 4 fewer times than expected. 1 point 47.   Sergio recorded the color of each gumball that he bought from a machine. His results are shown below. Based on Sergio's results, what is the probability of getting a red gumball from this machine? (1 point) (1 pts) (0 pts) (0 pts) (0 pts) https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 18/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) 1 point 48.   Dominique tossed a plastic chip for a probability experiment. The chip was blue on one side and red on the other side. The blue side landed up 50 times. The red side landed up 150 times. Based on this experiment, what is the probability that the chip will land with the blue side up on the next toss? (1 point) (0 pts) 33% (1 pts) 25% (0 pts) 50% (0 pts) 75% 1 point 49.   Tom drew shapes on 10 identical cards as shown below. He put the cards in a box and mixed them up. Tom will randomly pick 2 cards from the box. He will not return the first card he picks to the box before he picks the second card. What is the probability Tom will get a card with a circle on his first pick and a card with a triangle on his second pick? (1 point) (0 pts) (0 pts) (1 pts) (0 pts) 1 point 50.   The chart shows the choices of meat, vegetable, and bread available on the student lunch menu on Monday at José Garcia Middle School. https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 19/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) Which of these tree diagrams lists all possible combinations of 1 type of meat, 1 type of vegetable, and 1 type of bread? (1 point) (1 pts) (0 pts) (0 pts) (0 pts) https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 20/21 3/15/2015 LEAP Math Midtest ­ 7 (5 GT) 1 point © Connections Education LLC. https://www.connexus.com/assessments/engine.aspx?mode=answerKey&idAssessment=473575&popup=true 21/21