Math Advance EQT study guide 4th quarter

Transcription

1 Name: ate:. Find the area of each triangle. 4. etermine the area of the non-shaded region The front profile of a shed is depicted in the drawing, with the given dimensions. Find the area of attic part of the profile in square feet. 2. Find the height of a trapezoid if its parallel sides are 2 cm and 8 cm long and its area is 345 cm cm. 35 cm. 48 cm. 53 cm. 5 ft ft ft 2. none of these 3. Find the area of a triangle having a base of 6 feet and a height of 4 inches?. ft 2. 2 ft 2. 6 ft 2. 2 ft 2 6. picture frame 4 inches wide by 6.5 inches high has a 3 inch by 5 inch photograph placed in the center. What is the area of the space between the photograph and the frame?. 5.5 sq in. sq in. 6.5 sq in. 2 sq in page

2 7. Jack s yard measures 5 meters by 0 meters. He mowed a.5-meter strip around the edge, but was called to answer the telephone. How many square meters remain to be mowed?. 50 m m2. 96 m m 2 0. The rectangular solid shown will have what volume? cm cm cm cm 3 8. What is the area of this trapezoid? Find the volume of the cube shown in in in in3 On the grid, draw a quadrilateral with these vertices: ( 3, 5), ( 5, 5), ( 5, 5) and (7, 5). a) What is the shape of the quadrilateral? b) What property is used to identify this quadrilateral? c) What is the area of the quadrilateral? page 2

3 2. How far is the point (5, 7) from the point (5, 4)? raw the net for the rectangular prism. Find the surface area of the rectangular prism. 3. Which set of points when connected in order form a square?. {(, ), (2, 2), (, ), ( 2, 2)}. {(, 3), ( 2, 3), ( 2, 0), (, 0)}. {(0, 5), (0, ), (6, ), (5, 0)}. {(2, 5), ( 2, 5), ( 2, 5), (2, 5)} 6. Mr. Villareal made a box from the pattern shown in the figure. What is the surface area of his box? 4. Ms. Wagner placed four cubes on her desk, each one next to the other, with no gaps. Each cube has 5 centimeter sides cm cm 2 What is the surface area of the line of cubes?. 488 cm cm 2 page 3

4 7. The sketch represents a rectangular barn with an -frame roof. Which diagram best represents the top view of the barn? 8. Which net represents the surface area of the cylinder? page 4

5 9. Which solid figure would result from folding up the figure shown here? 20. Read the questions. a. Which cowboy hat sizes were sold last month? b. Which baseball hat size is sold most often? c. Which size of hard hat is bought most often by lumberjacks? d. What is Mr. James hat size?. Which of these are statistical questions?. a only. b only.. a and c only. a, b and c only.. 2. Read the questions. a. How old is Keira? b. How old is Keira s grandmother? c. How old are the people on Keira s block? d. How old are the people in Keira s school? Which of the above are statistical questions?. a only. a and b only. c only. c and d only page 5

6 22. The following data are test scores for a class of 20 students: 77, 54, 7, 8, 54, 87, 73, 67, 65, 73, 90, 56, 75, 83, 66, 73, 63, 62, 55, 8 a) omplete the table. Interval Number (frequency) b) In which interval does the mode lie? c) In which interval does the median lie? page 6

7 23. Use the data below to answer the following question(s). Jennifer belongs to a community theatre group. She collected information about performer ages in a frequency table and displayed the data in a histogram. Performer ge ommunity Theatre Mrs. Hathaway is a 32 year old who wants to join the group. She can reasonably conclude that she is. twice as old as the average performer. exactly the median age.. older than the average performer. younger than the median age.. older than the average performer. older than the median age.. younger than the average performer. exactly the median age. page 7

8 24. The line plot shows uane s recent golf scores. Golf Scores X X X X X X X X X X uane predicts that his next score will be Students can purchase semester bus passes in the school office. Mrs. Solorio kept track of the number of bus passes sold during the first weeks of school ontstruct a box-and-whisker plot for the data. Is the prediction reasonable?. No, the range of his most recent scores is 0 to 05.. No, the median of his most recent scores is 07.. Yes, the mean of his recent scores is 00.. Yes, the range of his most recent scores is 0 to surf and skate shop wants their inventory of beach items to meet customer needs. The store manager conducted a survey to find out the number of annual beach trips made by each customer. The results of the survey are displayed in the table. 25. The scores on a test were 72, 74, 78, 78, 82 and 84. Which statement about the scores is true?. The mean, median, and mode have the same value.. The mean, median, and mode have different values.. Only the mean and the median have the same value. Number of nnual each Trips Number of ustomers 0 to to to to to reate a histogram to display the data. e sure to label the axes.. Only the mode and the median have the same value. page 8

9 28. The following table gives the number of days that the students of Mr. Super s class are absent in the year. ays Number of bsent Students Which of the following is the correct boxplot for this data Which box-and-whisker plot represents the following information? Test scores: 82, 64, 60, 78, 00, 98, 62, 90, 85, 67, 6, 95, page 9

10 30. nita made the following frequency table that represents the amount of rainfall in her home town. Rainfall (cm) Number of ays of Rainfall Tally Frequency &&&&& &&&& && %%%% 4 In which histogram are the number of days and the amount of rainfall correctly matched with the number of days and the amount of rainfall displayed in the frequency table?.... page 0

11 3. The histogram shows responses from a survey of 32 students. 33. The box-and-whisker plot represents scores on the most recent test. What percentage of the students scored between 70 and 90?. 25%. 50%. 70%. 75% How many students read at least 3 books during vacation? What was the total number of books read by all of the students who responded to the survey? What fraction of students read no books or only one? 34. manda traveled the 400 miles to her grandmother s house with her parents. The trip took 9 hours. They left at 0:00 am and arrived at 7:00 pm. They stopped for lunch and then later for ice cream. The graph shows how many miles they traveled over the 9-hour period. 32. The graph shows the average water consumption during one week among the highest and lowest users of water. t what time did manda and her parents stop for lunch? On which day did the smallest gap in water usage occur? What was the greatest gap in water usage?. :00 am. noon. :00 pm. 2:00 pm page

12 35. Fred s school made a bar graph showing some popular places that students visited during summer vacation. 37. Students agree that the following equations using integers are true. + = = = = 7 Which statement about adding integers is not true?. dding integers is the same as adding whole numbers. Which is the best estimate for the number of students who visited Six Flags or Wet n Wild?. Less than 90. etween 90 and 00. dding two positive numbers results in a positive number.. dding two negative numbers results in a negative number.. dding integers with a common sign results in a sum with the same sign.. etween 00 and 0. More than survey was taken of high school students to determine how many books they carried on a certain day. The graph shows the results of the survey. 38. The temperature in Flagstaff was 5 when Sandy went to bed. The temperature dropped 20 during the night. Which integer represents the change in temperature? What is the average number of books carried by all of the students in the survey? page 2

13 39. One June, Mary had a balance of $50 in her bank account. uring June she made the four transactions below. deposited $25 withdrew $30 wrote a check for $60 paid a bank fee of $ Friday night the temperature was 3 F. y Saturday morning, the temperature was F. How much warmer was it on Saturday morning?. 2 F. 4 F. 22 F. 24 F If there we no other transactions, what was the balance in Mary s bank account on June?. $90. $40. +$0. +$ The temperature was 32 F. Over the next three days, the temperature rose by 6 degrees, rose by 2 degrees, and then fell by 8 degrees. What was the temperature after these changes?. 58 F. 22 F. 6 F. 0 F 40. What is the value of the expression below? Solve: 56 ( 42) Which shows a model of 3 + 4? Solve: 27 ( 9) page 3

14 46. The low temperatures in January of five laskan cities are shown in the table below. January Low Temperatures arrow ity Temperature ( F) 20 illingham 9 Galena Kuparuk 6 24 Skagway 8 What is the difference between the warmest and coldest temperatures?. 6 F. 6 F. 5 F. 42 F 49. What is the solution to the following problem, in lowest terms? = = What is the solution to the problem below, in lowest terms? = John runs 0 8 mile every day. How many miles does he run in 30 days? What is the value of the expression? Sara poured 8 cups of lemonade into each of 5 glasses. What was the total amount of lemonade Sara poured into the 5 glasses? cups. 5 8 cups cups. 6 8 cups page 4

15 53. Which of the following is equivalent to the expression below? Jim has 2 pound of raisins. He put the raisins into 4 bags. He put the same amount into each bag. What amount of raisins did Jim put into each bag? pound. 6 pound. 8 pound. 0 pound 54. ivide alculate the product: $48.00 sweater is on sale for 3 off. How much money does the customer save if he buys the sweater? 59. Manny has 2 yard of fabric to make book covers. Each book cover is made from 8 yard of fabric. How many book covers can Manny make?. $6. $32. $33. $ Kelly earned $6.75 for dog sitting and $.75 for babysitting. What was the total amount Kelly earned?. $7.25. $ What is 2 3?. $8.25. $8.50 page 5

16 Problem-ttic format version c Educide Software Licensed for use by Tara Noel Terms of Use at 03/3/ cm 2 ; 4 cm 2 6.G. 5. [graph]; 230 cm 2 6.G G G G. 6.G. 6.G. 6.G. 6.G. 6.G. 6.G.2 6.G.2 right trapezoid, 70 square units 6.G.3 6.G.3 6.G G.4 6.G.4 6.G.4 6.SP. 6.SP ; 7 80; SP SP.2 6.SP.2 6.SP [box-and-whisker plot that shows Min = 5, LQ = 22, Median = 38, UQ = 50.5, Max = 63] 6.SP cm 2 6.G.4

17 Teacher s Key Page SP.4 6.SP.4 6.SP.4 6.SP students; 28; 4 6.SP Saturday; a gap of about 38 gallons on Wednesday 6.SP.5 6.SP.5 6.SP.5 6.SP.5 6.SP Manny can make 4 book covers.