9. If 35% of all people have blue eyes, what is the probability that out of 4 randomly selected people, only 1 person has blue eyes?

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Andrew Arnold
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G/SP focus Name 1. Tonya wants to have a raised flower bed in her backyard. She measures the area of the flower bed to be 10 square feet. The actual measurement of the flower bed is 10.6 square feet.

1 G/SP focus Name 1. Tonya wants to have a raised flower bed in her backyard. She measures the area of the flower bed to be 10 square feet. The actual measurement of the flower bed is 10.6 square feet. Approximately what is Tonya s percent error? a) -6% b) -5.7% c) 5.7% d) 6% 2. Francis bought 2 video games for $29.95 each and 1 DVD for $9.95. If the sales tax is 8%, what is the total cost of Francis s purchases? a) $40.70 b) $43.09 c) $70.65 d) $ Rhonda went out to dinner. The price of her meal was $ The sales tax was 7% of the price of the meal. The tip was 18% of both the meal and the sales tax. How much money did Rhonda pay for the meal, including tax and tip? a) $40.55 b) $19.63 c) $19.44 d) $ In a recent quiz bowl competition, Nick answered 4 out of 5 questions correctly, Julie answered 72% of her questions correctly, and Juan answered 19 correctly and 6 incorrectly. Which list correctly orders the students' percentage of correct answers from least to greatest? a) Nick < Julie < Juan b) Nick < Juan < Julie c) Julie < Juan < Nick d) Juan < Julie < Nick 5. Blaine works for a battery manufacturing company. He wants to develop a method to test the batteries made each day to determine if they work. Which method would provide the most valid results? a) sampling the first 25 batteries made each day and b) sampling the last 25 batteries made each day and c) sampling the first 50 batteries made each day and d) randomly sampling 50 batteries throughout the day and 6. Which scenario would provide the least biased results? a) surveying people at a concert about their favorite bands b) surveying every 10 th person who enters a mall about his/her favorite type of cookie c) surveying people at a sporting event about their favorite team d) surveying 6 th grade students about the location of the 8 th grade dance 7. Ms. Klein wants to put a fence around her garden. The garden is in the shape of a semi-circle with a radius of 12 feet. How much fence does Ms. Klein need to buy for her garden? 8. The prices of homes in 2 different neighborhoods are listed in the table. Which measure is best to base a comparison of the typical home price in the 2 neighborhoods? a) feet b) feet c) feet d) feet a) Mean b) Median c) Mode d) Interquartile range 9. If 35% of all people have blue eyes, what is the probability that out of 4 randomly selected people, only 1 person has blue eyes? a) 25% b) 28% c) 35% d) 38%

10. Two elementary schools each conducted a survey of 100 fifth grade students asking about their favorite ice cream flavors. The results of the surveys are listed in the chart.

2 10. Two elementary schools each conducted a survey of 100 fifth grade students asking about their favorite ice cream flavors. The results of the surveys are listed in the chart. Which is a valid inference about the data? 11. T he governor has proposed a tax increase of 0.1% to support the local school systems. The newspaper randomly selects 1,0000 voters each month leading up the June election. Which statement is true? a) Chocolate is a more popular flavor at School #1 than it is at School #2. b) More students prefer chocolate than both vanilla and strawberry combined at School #1 c) Approximately twice as many students prefer strawberry at School #1 than at School #2. d) If both schools are combined, the most popular flavor is chocolate. a) The tax increase will be passed because more voters polled approve it. b) The tax increase will be rejected because more voters polled disapproved of it most recently c) The polls taken so far make it too close to call whether the tax increase will pass or not d) Since the variation of the in the poll data is low, the tax increase will be rejected. 12. Mrs. Haywood made dot plots of her 2 math classes' recent math tests. What is the mean absolute deviation of 2 nd period's data? 13. Todd split up 12 people into three groups. The table below shows the age of each person and which group they were put into. Which statement regarding the Mean of Absolute Deviation (MAD) is true? a) 5 b) 10 c) 15 d) 20 a) MAD of Group 1 < MAD of Group 2 b) MAD of Group 2 = MAD of Group 3 c) MAD of Group 3 > MAD of Group 2 d) MAD of Group 1 = MAD of Group A circular hot tub is surrounded by a cement path as shown in the diagram. Which measurement is closest to the area of the cement path? 15. Henry records how many multiplication problems he correctly answers in one minute in 4 th grade and 5 th grade. His data is shown a) 201 square feet b) 144 square feet c) 94 square feet d) 50 square feet Which statement best compares the medians and interquartile ranges of the two data sets? a) Both Henry s median score and interquartile range were higher in 5th grade than both scores in 4th grade. b) Henry s median score was higher in 5th grade, and his interquartile range was higher in 4th grade. c) Henry s median score was higher in 5th grade, and his interquartile range was the same both years. d) Henry s median score was higher in 4th grade, and his interquartile range was higher in 5th grade. 16. T hree lines intersect to form angles. What is the value of x in the diagram? a) 10 b) 18 c) 28 d) 35

17. The data in the chart shows the recorded high temperatures for the first eight days of July and the first eight days of August. Based on the data, which statement is true? 18.

a) The data from July has a higher median, and the mean is the same. b) The data from August has both a higher median and a higher mean.

a) The difference between their upper quartile ranges is 0. b) The difference between their lower quartile ranges is 0. c) The difference between their upper quartile ranges is 2.

How many runs must the North Middle School softball team score in the fifth game so that the mean and median of the data will be the same? 20.

3 17. The data in the chart shows the recorded high temperatures for the first eight days of July and the first eight days of August. Based on the data, which statement is true? 18. The tables show the frequencies of the number of students in David's and Mary's classes that have siblings. What statement is true for the data sets? a) The data from July has a higher median, and the mean is the same. b) The data from August has both a higher median and a higher mean. c) The data from both months have the same median, and July has a higher mean. d) The data from both months have the same median, and August has a higher mean. a) The difference between their upper quartile ranges is 0. b) The difference between their lower quartile ranges is 0. c) The difference between their upper quartile ranges is 2. d) The difference between their lower quartile ranges is The table shows the number of runs scored by the North Middle School softball team in the first four games of the season. How many runs must the North Middle School softball team score in the fifth game so that the mean and median of the data will be the same? 20. Which best describes the probability of the arrow on this spinner landing on red or blue instead of purple or green? a) 9 runs b) 10 runs c) 11 runs d) 12 runs a) Certain b) Impossible c) More likely d) Less likely 21. A number cube is rolled in an experiment, and the frequency of each different roll is recorded. Based on the experimental results, how many rolls of 2 would you expect to get in a new experiment with 75 trials? a) 10 b) 11 c) 12 d) A box contains 5 red marbles, 8 white marbles, and 4 green marbles. One marble is taken out of the box at random. What is the probability and the likelihood that the marble taken out will not be green? a) 4/17, unlikely b) 4/17, likely c) 13/17, unlikely d) 13/17, likely 23. There are 15 balls in a bag out of which 7 are red, 2 are green, 5 are blue, and 1 is yellow.which colored ball has a greater likelihood of getting selected at random? a) Red b) Yellow c) Green d) blue 24. Which probability value implies that the event will certainly occur? a) -1 b) 0 c) 0.2 d) 1

25. A box contains 200 tickets. Some tickets are blue, and some are black.

Using this result, what is the best prediction of the number of black tickets in the box? a) 23 tickets b) 50 tickets c) 92 tickets d) 108 tickets 26. Jordan has a bag of marbles and a spinner.

What is the probability Jordan will pick a red marble out of the bag and land on the red section when spinning the spinner? a) 60% b) 40% c) 25% d) 15% 27. Mrs.

4 25. A box contains 200 tickets. Some tickets are blue, and some are black. Suppose a student without looking chooses a ticket out of the box, records the color, and then places the ticket back in the box. The student has recorded 27 blue tickets and 23 black. Using this result, what is the best prediction of the number of black tickets in the box? a) 23 tickets b) 50 tickets c) 92 tickets d) 108 tickets 26. Jordan has a bag of marbles and a spinner. The bag of marbles has 10 marbles in it, 6 of which are red. The spinner is divided into 4 equal sections: blue, green, red, and yellow. What is the probability Jordan will pick a red marble out of the bag and land on the red section when spinning the spinner? a) 60% b) 40% c) 25% d) 15% 27. Mrs. Garcia made a square cake with sides that measure 10 inches. The cake is frosted white, and has a darker circle frosted within the square. The circle is circumscribed within the square portion of the cake as shown below. Mrs. Garcia will put a candle in the cake. What is the approximate probability that the candle will be in the white section of the cake, not in the circle section of the cake? 28. Use the image below to answer the question. The area of the entire triangle is 180 square centimeters, while the area of the circle is approximately square centimeters. If Elizabeth chooses a point in the triangle, what is the probability that it is in the shaded region? a) 22% b) 31% c) 44% d) 63% a) 27.91% b) 72.09% c) 86.04% d) 91.11% 29. Thomas is rolling a number cube. He rolls the number cube 15 times, and 6 appears 5 times. If Thomas rolls the cube the 16 th time, what is the probability that it will show a 6? a) ⅙ b) ⅓ c) ⅜ d) ⅖ 30. A fair coin is tossed 4 times. What is the probability that tosses will result in 3 heads and 1 tails in any order? a) 1/16 b) 3/16 c) 1/4 d) 3/4 31. I f Jenny adds soda as a choice, how many choices are there now? a) 15 b) 12 c) 10 d) Becca designs a new board game. During each turn, the player rolls a 6-sided number cube, spins a spinner with 5 equal-sized sections, and draws a card from a stack of 4 cards. If Becca begins her turn by rolling a 6 on the number cube, how many different ways can she finish her turn? a) 9 ways b) 20 ways c) 60 ways d) 120 ways 33. On the blueprint for a new house, the length of a room, which is supposed to be 15 feet long, is represented as 6 inches. If the width of the room on the blueprint is 4 inches, what will be its actual area? a) 195 ft 2 b) 150 ft 2 c) 90 ft 2 d) 60 ft 2

34. A triangle has two sides measuring 4 cm and 8 cm. Which length can not be the length of the third side? a) 5 cm b) 7 cm c) 11 cm d) 12 cm 35. Which side lengths can form a triangle?

5 34. A triangle has two sides measuring 4 cm and 8 cm. Which length can not be the length of the third side? a) 5 cm b) 7 cm c) 11 cm d) 12 cm 35. Which side lengths can form a triangle? a) 2 inches, 3 inches, 7 inches b) 2 inches, 3 inches, 6 inches c) 2 inches, 3 inches, 5 inches d) 2 inches, 3 inches, 4 inches 36. What is the face shape that results from a cut parallel to the base of a triangular prism? a) Circle b) Rectangle c) Triangle d) trapezoid 37. The center of a circle is at (2, -3) on a coordinate plane. The edge of the circle goes through the point (2, -7). What is the circumference of the circle? a) units b) units c) 31.4 units d) units 38. X and Y are supplementary angles. The measure of X = 3 n The measure of Y = 2 n What is the value of n? a) 45 b) 35 c) 27 d) Lainey wraps a cube-shaped present in a box that has a volume of 729 cubic inches. Neglecting any overlap, how many square inches of wrapping paper does Lainey use to cover all of the sides of the box? a) 81 in. 2 b) 162 in. 2 c) 324 in. 2 d) 486 in What is the sum of x and y in the figure shown? 41. Amanda must paint all the sides of a box that has dimensions 5 feet by 6 feet by 7 feet. There are 4 sizes of paint cans for sale. Which can of paint should Amanda buy in order to have enough paint to cover the box once, but have the least paint left over? a) 15 b) 18 c) 33 d) 48 a) Can A b) Can B c) Can C d) Can D 42. J oseph is building a new store. He draws a sketch of the 5 parking spots he will have. The wheelchair accessible spot is twice the width of a normal parking spot. What is the total area needed for the 5 parking spots? 43. What is the volume of the composite figure? a) 392 ft 2 b) 490 ft 2 c) 588 ft 2 d) 644 ft 2 a) 104 ft 3 b) 120 ft 3 c) 150 ft 3 d) 160 ft 3

Incoming Advanced Grade 7

Name Date Incoming Advanced Grade 7 Tell whether the two fractions form a proportion. 1. 3 16, 4 20 2. 5 30, 7 42 3. 4 6, 18 27 4. Use the ratio table to find the unit rate in dollars per ounce. Order