6th Grade PSSA Review

CC.2.1.6.D.1: Understand ratio concepts and use ratio reasoning to solve problems.

1. The ratio of the number of gallons of milk to the number of boxes of cereal in Julie’s grocery cart is 2:3. Which ratio is equivalent to 2:3 ?

(A) (B) 23% (C) 3:2 (D) 3 out of 2

2. In a can of mixed nuts, the ratio of cashews to peanuts is 2:5. Which fraction represents the ratio of cashews to peanuts?

(A) (B) (C) (D)

3. Chen records the number of crayons in her art supply box by color. The results are shown in the table below.

What is the ratio of the number of red crayons compared to the number of yellow crayons?

(A) 1:3 (B) 3:1 (C) 1:10 (D) 3:10

4. A fruit salad contains 25 blueberries and 20 raspberries. What is the ratio of blueberries to raspberries in the fruit salad? (A) 4:9 (B) 5:4 (C) 4:5 (D) 5:9

5. On a road with 24 streetlights, 3 of them do not work. What is the ratio of streetlights on the

road that work to streetlights that do not work? (A) 1:7 (B) 7:1 (C) 1:8 (D) 8:1

6. In Garth’s class, 15 students are wearing sneakers and 12 students are wearing boots. What is

the ratio of students wearing sneakers to students wearing boots? (A) 3 to 1 (B) 4 to 1 (C) 5 to 2 (D) 5 to 4

7. The ratio of the number of giraffes to the number of monkeys in a zoo is 2 to 5. Which

statement about the giraffes and monkeys could be true? (A) For every giraffe in the zoo, there are 10 monkeys. (B) For every 10 giraffes in the zoo, there is 1 monkey. (C) For every 4 giraffes in the zoo, there are 10 monkeys. (D) For every 10 giraffes in the zoo, there are 4 monkeys

8. The ratio of the number of boys to the number of girls in the cast of a school play is 1:5. Which statement must describe the cast of the play? (A) There are exactly 6 students in the cast. (B) There is 1 boy for every 5 girls in the cast. (C) There are 4 more girls than boys in the cast. (D) There is 1 boy out of the 5 students in the cast.

9. Cal is making granola. He follows a recipe that uses 3 cups of peanuts for every 2 cups of oats. Which statement about The granola Cal makes must be true? (A) The ratio of peanuts to oats in Cal’s granola is 1:1.5. (B) The ratio of oats to peanuts in Cal’s granola is 1:1.5. (C) The total number of cups of peanuts and oats in Cal’s granola is at least 5. (D) The total number of cups of oats and peanuts in Cal’s granola is a multiple of 5.

10. Bob and Latoya both drove to a baseball game at a college stadium. Bob lives 70 miles from the

stadium and Latoya lives 60 miles from it, as shown in the accompanying diagram. Bob drove at a rate of 50 miles per hour, and Latoya drove at a rate of 40 miles per hour. If they both left home at the same time, who got to the stadium first?

11. For a recipe, Harris uses 2 cups of white sugar for each cup of brown sugar. How many cups of

brown sugar does Harris use when he uses 1 cup of white sugar?

(A) (B) 1 (C) (D) 2

12. Andi walks at a rate, r, of 4 miles per hour. What is the distance, d, that she walks in the time, t, of 3 hours ?

(A) 1 mile (B) 7 miles (C) 12 miles (D) 43 miles

13. Cars are made in a factory at a rate of 39 cars every 3 hours. At this rate, how many cars can be

made in the factory in 7 hours? (A) 43 (B) 91 (C) 124 (D) 273

14. A farmer picks 7 apples in 2 minutes. The farmer continues to pick apples at this rate. How many minutes does it take the farmer to pick 42 apples? (A) 3 (B) 12 (C) 14 (D) 147

15. On the coordinate grid below, point J shows the starting location of Jake and point L shows the starting location of Lisa.

Jake walks from his starting location for the same amount of time as Lisa walks from

her starting location.

Jake walks east at an average rate of 4 kilometers per hour.

Lisa walks west at an average rate of 3 kilometers per hour.

Jake stops walking when he reaches the point directly north of point L.

Which ordered pair describes the location of Lisa when she stops walking?

(A) (–12, –4) (B) (–8, –4) (C) (–5, –4) (D) (–3, –4)

16. Katie’s goal is to read 6 books every 3 months. Based on this goal, how many months will it take Katie to read 24 books? (A) 4 (B) 8 (C) 12 (D) 18

17. Nina wants to buy a scooter that costs $100. She has $80 already. What percent of the $100 does Nina already have? (A) 0.8% (B) 8% (C) 80% (D) 800%

18. An ocean sunfish lays about thirty million eggs at one time. If 1% hatch, approximately what

number of eggs will hatch? (A) 30,000 (B) 300,000 (C) 3,000,000 (D) 30,000,000

19. Mark has started reading a book that has 100 pages. He has read only 5 pages of the book. What

percent of the book has Mark read? (A) 5% (B) 50% (C) 100% (D) 105%

20. Makoto has a collection of 100 trading cards. He gives 15 cards to his best friend. Makoto then

gives 10 of the cards he has left to his brother. Part A: What percent of Makoto's collection of trading cards did he give away?

Part B: What percent of his collection does he still have left?

21. There are 100 questions on Monica's test. She has completed 40 of the questions. What percent of the 100 questions has Monica completed? (A) 0.4% (B) 4% (C) 40% (D) 400%

22. Tina bought some gum. The number of pieces of each flavor of gum she bought is shown below.

What percent of the total number of pieces of gum are peppermint flavor?

(A) 20% (B) 40% (C) 60% (D) 80%

23. Heather has 100 trading cards as shown below.

Part A: Heather will give her sister 25% of the cards. Draw a ring around the number of cards that Heather will give her sister.

Part B: What percent of the 100 trading cards will Heather have left after she gives 25% of the cards to her sister?

24. Louis is climbing steps to the top of a monument. After climbing 15 steps, Louis stops to tie his shoe. If there is a total of 75 steps on the monument, what percent of the total number of steps has Louis climbed when he stops to tie his shoe? (A) 90% (B) 60% (C) 20% (D) 5%

25. Alison is doing the laundry for her family and decides to count all the T-shirts. She creates the graph below to show how many T-shirts of each color her family has placed in the laundry.

What percent of the total number of T-shirts is red?

(A) 20% (B) 25% (C) 36% (D) 90%

26. Lani has learned 21 of the 84 songs in her piano playbook. What percent of the total number of songs in the playbook has Lani learned? (A) 75% (B) 63% (C) 25% (D) 21%

27. Jenny picked 25 roses. She gave away 10 roses. What percent of the roses did Jenny give away?

28. Mr. Roberts is going shopping. He has a budget of $150.00. He will buy either a painting or a lamp. Part A: If he spends 80% of his money on a painting, how much money will Mr. Roberts spend?

Part B: If he spends 50% of his money on a lamp, instead of buying a painting, how much money will Mr. Roberts spend?

29. Sarah predicts that 15 percent of all the birds she spots while bird watching will be robins. At the end of the day, she records that 10 out of the 25 birds she spotted were robins. How does Sarah’s prediction compare with the actual results? (A) Sarah’s prediction is too low. (B) Sarah’s prediction is too high. (C) Sarah’s prediction cannot be compared to the actual results. (D) Sarah’s prediction is exactly the same as the actual results.

30. There are 80 sixth-grade students at Howard Elementary School. If 25% of the students have green eyes, how many sixth-grade students have green eyes? (A) 16 (B) 20 (C) 40 (D) 55

31. The circle graph below shows the number of students who play instruments in the school orchestra.

What percent of the total number of students in the school orchestra play the violin?

(A) 15% (B) 25% (C) 33% (D) 75%

32. In a basketball contest, Chad predicted he would make 85 percent of his shots. He actually made

18 out of 20 shots. How did Chad's prediction compare with his actual results? (A) His prediction was the same as his actual results. (B) His prediction was lower than his actual results. (C) His prediction was higher than his actual results. (D) His prediction cannot be compared with his actual results.

33. Rona drove 56 miles to visit a friend. She drove 42 miles before stopping for gas. What percent

of the drive did Rona complete before stopping for gas? (A) 75% (B) 25% (C) 42% (D) 14%

34. A rectangular patio is partially covered by a triangular section of a roof. The shaded portion in the diagram below represents the roof, and the entire rectangle represents the patio.

What percent of the area of the patio is covered by the roof?

(A) 17% (B) 30% (C) 33% (D) 60%

35. The regular price of a bicycle is $120. The bicycle is on sale for 20% off. Which expression is equal to the sale price, in dollars, of the bicycle?

(A) (B) (C) (D)

36. When a farmer harvests chicken eggs, he expects 2% of the eggs to be cracked. How many eggs would the farmer expect to be cracked when harvesting 350 eggs? (A) 3 (B) 7 (C) 18 (D) 70

37. Andre used 345 milliliters of solution in his science experiment. How many liters of solution did Andre use?

(A) 34,500 (B) 3,450 (C) 3.45 (D) 0.345

38. Alon started in 60% of his team’s basketball games this season. He started a total of 12 games. How many games did Alon’s team play this season? (A) 6 (B) 7 (C) 18 (D) 20

39. Francis bought 3 gallons of grape juice for a party. How many pints of juice did Francis buy

(A) 2 (B) 8 (C) 16 (D) 24

40. Betty made of the baskets she attempted in a basketball game. Which other ratio is equivalent to the number of baskets Betty made?

(A) (B) (C) (D)

41. Which statement is a proportion?

(A) (B) (C) (D)

42. Otto is measuring water for an experiment. He fills two different containers: a 2-liter container and a half-liter container. He uses each container only once. How many milliliters of water does Otto measure for his experiment?

(A) 25 (B) 2.5 (C) 250 (D) 2,500

43. Two gift shops sell postcards. Each gift shop charges a fixed amount per postcard. The prices, in cents, for different numbers of postcards at the first gift shop are shown in the table below.

The price per postcard at the second gift shop is 6 cents less than the price per postcard at the first gift shop. Which table shows the correct price for a certain number of postcards at the second gift shop?

(A) (B)

(C) (D)

44. The owner of an apple orchard wants to buy more trees. The table below shows the costs for buying different numbers of trees.

Based on the pattern in the table, how much will it cost the owner to buy 10 trees?

(A) $245 (B) $350 (C) $385 (D) $420

45. What is the value of x in the equation below?

(A) 6 (B) 9 (C) 10 (D) 18

46. The rest of the students in the play are from Mr. Logan’s class and Ms. Gardner’s class.

Mr. Logan has 23 students in his class, and 7 of them are in the play.

There are 4 more students from Ms. Gardner’s class than from Mrs. Cho’s class in the play.

The number of students in the play from Mr. Logan’s class is greater than the number from Mrs. Cho’s class and fewer than the number from Ms. Gardner’s class.

In all, 30% of the students in these three classes are in the play.

Show or explain why there must be exactly 23 students in Ms. Gardner’s class. As part of the explanation, determine how many students from Ms. Gardner’s class are in the play.

47. A company is assembling packages of life jackets for boats. The table below shows the number of children’s life jackets and the number of adult life jackets in some different packages.

The ratio of the number of children’s life jackets to the number of adult life jackets in each package is constant. Based on the information shown in the table, which two ratios could also be included in the table?

(A) 28 : 32 and 31 : 35 (B) 11 : 22 and 16 : 32 (C) 13 : 27 and 22 : 36 (D) 10 : 30 and 17 : 51

48. Students from four classes are in a school play.

Part A: There are 28 students in Mr. Flynn’s class. The ratio of his students who are in the play to those who are not in the play is 2:5. How many of Mr. Flynn’s students are in the play?

Part B: Mrs. Cho has 24 students in her class. Some of her students are also in the play. Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.

49. Jasmine earns $36 for 4 hours of baby-sitting. She charges a constant hourly rate. Which table correctly shows the amount Jasmine earns baby-sitting for different numbers of hours?

(A) (B)

(C) (D)

CC.2.1.6.E.1: Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

1. Andrea buys 1

3 kilogram of rice. This amount is

1

5 the amount of rice she has at home. How many

kilograms of rice does Andrea have at home?

(A) (B) (C) (D)

2. A city planner has an -acre plot of land to develop for the city. She will use the land to make

separate sections that each have an area of acre for gardens. What is the greatest number of

-acre sections that can be made from the -acre plot of land? (A) 1 (B) 2 (C) 3 (D) 4

3. Divide:

(A) (B) (C) (D)

4. Emily is making bows using ribbon. She has two pieces of ribbon to use. One is 23 yards long.

The other is yards long. She needs yards of ribbon to make each bow. What is the greatest number of bows Emily can make? (A) 12 (B) 14 (C) 15 (D) 19

5. Izara built a fence for her horses. The fence was 210 feet long. She put a fence post in the

ground at the start of the fence and another fence post every feet. Izara paid $8.50 for each fence post. How much did Izara pay for all the fence posts she used? (A) $297.50 (B) $518.50 (C) $595.00 (D) $765.00

6. Divide:

(A) (B) (C) (D) 2

7. Alex and Payton each have a favorite pancake recipe.

Alex’s recipe uses cups of flour for 5 batches.

Payton’s recipe uses cup of flour more per batch than Alex’s recipe uses per batch.

Which expression can be used to determine the number of cups of flour used to make x batches of Payton’s pancake recipe?

(A) (B) (C) (D)

CC.2.1.6.E.2: Identify and choose appropriate processes to compute fluently with multi-digit numbers.

1. Joey needs to travel 15 miles from Smithville to Clarksville and 5 miles from Clarksville to Elmwood. The table below shows two different taxicab companies' rates.

Joey will choose one of these four options:

1. Travel with Sunshine Cab Co. to Clarksville, then with Freedom Cab Co. to Elmwood.

2. Travel with Freedom Cab Co. to Clarksville, then with Sunshine Cab Co. to Elmwood.

3. Travel nonstop with Sunshine Cab Co. the entire way.

4. Travel nonstop with Freedom Cab Co. the entire way.

Which is the least expensive way for Joey to make the trip? How much will he pay total if he takes the trip using the least expensive option?

2. Becky is buying a new car at a cost of $23,685. She will pay for it over a 60-month period. How much less will Becky pay per month if she makes a down payment of $3,000 first?

3. Clara's class is going on a trip to the local science museum. Twenty-five students, one teacher, and three parents are going on the trip. The museum charges $3.50 admission for each student and $5.00 for each adult. How much will it cost for all the students and the adults to enter the museum?

(A) $87.50 (B) $101.50 (C) $102.50 (D) $107.50

4. Tyree’s solution for a division equation is 18. Which equation could Tyree have solved?

(A) (B) (C) (D)

5. A grocery store sells almonds for $2.30 per pound, tax included. A shopper buys 1.8 pounds of almonds from the store. She uses a coupon to save 10% off the total cost of the almonds. Rounded to the nearest cent, how much does the shopper pay for the almonds? (A) $0.41 (B) $3.73 (C) $3.91 (D) $4.55

8. Toshi has 604 marbles and several bags. After putting an equal number of marbles into each bag, he has 16 marbles remaining. How many bags could Toshi have used for the marbles? (A) 21 (B) 25 (C) 31 (D) 37

9. Aaron wants to buy 2 concert tickets that cost $25.50 each. Aaron’s grandfather pays him $4.25 an hour to rake leaves. How many hours does Aaron have to rake leaves to earn the total cost of the tickets? (A) 1.2 (B) 6 (C) 12 (D) 16.5

6. Multiply: 2.5 × 3.5 × 0.01 without a calculator. (A) 0.0625 (B) 0.0875 (C) 0.625 (D) 0.875

7. Greg’s social studies grade is based on two quizzes, two tests, and one project. The table below shows Greg’s scores on these items, as well as each item’s weight in determining his final grade.

To determine his final grade, Greg’s teacher multiplies each score by its weight, adds the products together, and then divides the sum by 10. What is Greg’s final grade?

(A) 79.9 (B) 86.8 (C) 88.4 (D) 92.0

CC.2.1.6.E.3; Develop and/or apply number theory concepts to find common factors and multiples.

1. As students entered a concert, a key chain was given to every second student in line. T-shirts were given to every third student in line. Which student in line was the first to receive both a key chain and a T-shirt? (A) 5th (B) 6th (C) 8th (D) 9th

2. What is the prime factorization of 72?

(A) 23 × 32 (B) 23 + 32 (C) 2 × 32 × 4 (D) 25 + 33 + 13

3. What is the least common multiple of 9, 18, and 21 ? (A) 3 (B) 81 (C) 126 (D) 3,402

4. What is the greatest common factor (GCF) of 64 and 84 ? (A) 2 (B) 4 (C) 6 (D) 8

5. One rectangle has an area of 48 square inches. Another rectangle has an area of 80 square

inches. All the side lengths of both rectangles are whole numbers of inches. What is the greatest side length, in inches, that both rectangles could have? (A) 8 (B) 16 (C) 20 (D) 24

6. Gracie is rewriting the expression (24 + 40) as an integer times the sum of two integers. By

factoring out a 2, she knows she can rewrite the expression as 2 times the sum of two integers. What are all the other numbers greater than 2 that Gracie can factor out of (24 + 40) to rewrite the expression as an integer times the sum of two integers? (A) 4, 8 (B) 4, 6, 8 (C) 3, 5, 6, 10, 12, 20 (D) 3, 4, 5, 6, 8, 10, 12, 20

7. Which property does the equation below demonstrate?

7(6 + 4) = 42 + 28

(A) associative (B) commutative (C) distributive (D) identity

8. A school has 32 baseballs and 40 softballs. The coach divides the baseballs evenly into 8 boxes. The coach also divides the softballs evenly into the same 8 boxes. Which expression represents the total number of baseballs and softballs in the 8 boxes? (A) 8(4 + 5) (B) 8(4 × 5) (C) 8(32 + 40) (D) 8(32 × 40)

9. Peter and Marcia set up chairs in a room for a meeting. Peter sets up 5 rows of chairs with 3

chairs in each row. Marcia sets up 8 rows of chairs with 3 chairs in each row. Which expression could be used to show the total number of chairs Peter and Marcia set up for the meeting? (A) 3(5 + 8) (B) 3(5 + 24) (C) 3(15 + 8) (D) 3(15 + 24)

10. This soccer season, Gavin scored 9 fewer than 3 times the number of goals that Rico scored. Rico

scored 12 goals. The value of which expression is equivalent to the number of goals Gavin scored this soccer season? (A) 3(4 – 3) (B) 3(12 – 9) (C) 9(4 – 1) (D) 9(36 – 1)

CC.2.1.6.E.4: Apply and extend previous understandings of numbers to the system of rational numbers.

1. The width of the rectangle below is represented by a certain positive number y. Its length is represented by y + 3.

Which expression represents the area of the rectangle?

(A) y + (y + 3) (B) y(y + 3) (C) 2y + 2(y + 3) (D) 2y + (y + 3)

2. Gwen has three jars of marbles that contain x marbles and two jars that contain y marbles. Which expression represents the total number of marbles Gwen has? (A) 3x + 2y (B) 2x + 3y (C) (2 + 3)(x + y) (D) 3(x + y) + 2(x + y)

3. Tara buys two items that cost d dollars each. She gives the cashier $20. Which expression

represents the change she should receive? (A) 20 – 2d (B) 20 – d (C) 20 + 2d (D) 2d – 20

4. When Jimmy and Shane went fishing, Shane caught 2 more than three times the number of fish that Jimmy caught. Write an algebraic expression that represents how many fish Shane caught.

Use the expression you wrote above to determine how many fish Shane caught if Jimmy caught 2 fish.

5. The video store rents movies for $3.50 the first day. There is a $2.00 charge for each additional day, d. Which expression represents this relationship? (A) $3.50 + $2.00d (B) $3.50d + $2.00 (C) $3.50 − $2.00d (D) $3.50d − $2.00

6. Which mathematical expression is equivalent to the expression "nine less than six times the

number t"? (A) 6t - 9 (B) 6 - 9t (C) 9 - 6t (D) 9t - 6

7. Jane and Kwan each have music CDs. Kwan has 12 more CDs than Jane.

Part A: Write a number sentence to show that Kwan has 12 more CDs than Jane. Let J be the number of CDs Jane has. Let K be the number of CDs Kwan has.

Part B: If Jane has 7 CDs, how many CDs does Kwan have?

8. Part A: Write an equation that represents “eight less than twice a number is forty-two.”

Part B: Solve the equation.

9. What is “two more than the quotient of six and a number, n,” written as an algebraic expression?

(A) (B) (C) (D)

10. Linda must calculate the cost of filling her car’s 12-gallon gas tank. She calculates the difference between how much gasoline her gas tank will hold and the number of gallons of gas, g, already in the tank. Then she multiplies the difference by the price, p, of one gallon of gas. What expression does Linda use to calculate the cost to fill her gas tank? (A) (12 − g)p (B) gp − 12 (C) (g − p)12 (D) 12p − g

11. Pat threw a football 5 more than twice the number of yards, y, that Gary threw. Which expression can be used to find the number of yards Pat threw the football? (A) 2y − 5 (B) 2y + 5 (C) 5y − 2 (D) 5y + 2

12. What verbal expression is the same as the algebraic expression below?

8 - 3x (A) three times a number minus eight (B) three minus eight times a number (C) eight times a number minus three (D) eight minus three times a number

13. Paulie multiplies two numbers whose product is 1. If one of the numbers is 2, what is the other

number?

(A) (B) (C) 1 (D) 0

14. Which verbal expression is the same as ? (A) two more than half of six (B) six more than half of a number (C) the sum of a number and two plus six (D) six more than the product of a number and two

15. Nora took 8 bottles of water to a picnic. Of those bottles of water, she and her friends opened a

certain number of bottles. b. What expression can be used to determine the number of unopened bottles at the end of the picnic? (A) 8 + b (B) b + 8 (C) 8 − b (D) b − 8

16. A clothing store had 30 jackets. If j represents the number of jackets the store then sold, which expression can be used to determine the total number of jackets that were not sold?

(A) (B) (C) (D)

17. What expression represents 16 more than 5 times a number, n ? (A) 5n + 16 (B) 5n - 16 (C) 16n + 5 (D) 16n - 5

18. What equation represents three less than five times a number is twelve? (A) 3 - 5x = 12 (B) 5x - 3 = 12 (C) 5(3 - x) = 12 (D) 5(x - 3) = 12

19. Marie currently has a collection of 58 stamps. If she buys s stamps each week for w weeks,

which expression represents the total number of stamps she will have? (A) 58sw (B) 58 + sw (C) 58s + w (D) 58 + s + w

20. Gabe invited 4 girls and 7 boys to a party. Each of Gabe’s guests received a certain number of

candy bars, c. Which expression represents the total number of candy bars given to Gabe’s guests (A) 11c (B) 28c (C) 4c + 7 (D) 4c × 7c

21. A hen lays an average of 5.5 eggs each week. If she lays eggs for a certain number of weeks, w, which expression can be used to determine the total number of eggs she lays? (A) 5.5 ÷ w (B) 5.5 + w (C) 5.5 − w (D) 5.5 × w

22. Betsy has a certain number of rings, r. The number of rings Vivian has is 4 times as great. Which expression can be used to determine the number of rings Vivian has?

(A) (B) (C) (D)

23. Which verbal expression is represented by 1

2 (n − 3)?

(A) one-half n decreased by 3 (B) one-half n subtracted from 3 (C) the difference of one-half n and 3 (D) one-half the difference of n and 3

24. The number of restaurants on Boland Street is 3 less than 4 times the number of restaurants, r,

on Macaw Street. Which expression can be used to determine the number of restaurants on Boland Street? (A) 7r (B) 12r (C) 3 − 4r (D) 4r − 3

25. Which situation is best represented by the expression 2c − 5 ?

(A) Alicia walked 2 miles fewer than 5 times the number of miles, c, Courtney walked. (B) Alicia walked 5 miles fewer than 2 times the number of miles, c, Courtney walked. (C) Alicia walked 2 more than 5 times the number of miles, c, Courtney walked. (D) Alicia walked 5 more than 2 times the number of mils, c, Courtney walked.

26. The length of a rectangle is n units. The width, in units, of the rectangle is equal to 4 less than half of n. Which expression can be used to represent the width, in units, of the rectangle?

(A) (B) (C) (D)

27. Karen is solving this problem.

(32 + 42)2 = ?

Which step is correct in the process of solving the problem?

(A) (32 + 42) (B) (92 + 162) (C) (72)2 (D) (9 + 16)2

28. What is the value of 23 + 24? (A) 14 (B) 24 (C) 28 (D) 128

29. What is the prime factorization of 72?

(A) 23 × 32 (B) 23 + 32 (C) 2 × 32 × 4 (D) 25 + 33 + 13

30. Simplify the expression below.

33 − 22

(A) 1 (B) 5 (C) 23 (D) 25

31. Simplify the expression below.

│7 − 32 │ + 4

(A) 2 (B) 3 (C) 5 (D) 6 32. Simplify the expression below.

3 + 5 × 23 + 32

(A) 39 (B) 52 (C) 73 (D) 88

33. Simplify the expression below.

43 × 32

(A) 35 (B) 72 (C) 384 (D) 576

34. Mr. Hardy assigns homework to his mathematics class. The assignment requires students to find the prime factorization of 648.

Part A: What is the prime factorization of 648?

Part B: Write the result of the prime factorization of 648 in exponential form.

35. Simplify the expression below.

52 − 23

(A) 2 (B) 4 (C) 17 (D) 19

36. Simplify the expression below. 42 + 52

(A) 13 (B) 18 (C) 23 (D) 41

37. Simplify the expression below.

6 × (53 + 2)

(A) 762 (B) 752 (C) 102 (D) 92

38. What is the prime factorization of 144 written in exponential form? (A) 2242 (B) 2332 (C) 2342 (D) 2432

39. What is the sum of (3 + 3)2 and 23 ?

(A) 18 (B) 20 (C) 26 (D) 44

40. Simplify the expression below. 7² - 9 + 1³

(A) 37 (B) 39 (C) 41 (D) 43

41. Simplify the expression below.

43 ÷ 22

(A) 2 (B) 3 (C) 16 (D) 32

42. What is the value of the expression?

2 + 32 +│−4│

(A) 7 (B) 12 (C) 15 (D) 29

43. Mr. Konig ordered paper towels for his office building. - He ordered 2 cases of paper towels. - Each case has 12 packages in it. - Each package has 12 rolls of paper towels in it.

Which expression represents the total number of rolls of paper towels Mr. Konig ordered?

(A) 2 + (2 × 12) (B) 2 + 122 (C) 2 × (2 × 12) (D) 2 × 122

44. A library has 4 square tabletops that measure n inches on each side. The library also has 8 square tabletops that measure 2n inches on each side. The total area of these tabletops is represented by the expression shown below.

4(n)(n) + 8(2n)(2n)

Which expression is equivalent to the total area, in square inches, of these tabletops in the library?

(A) 16n2 (B) 12(2n) (C) 4n2 + 8(4n2) (D) 4(2n) + 8(4n)

45. A rock is thrown off a cliff and falls toward a river. The height, in feet, of the rock above the river after t seconds is given by the expression 60 + 32t – 16t2. How many feet above the river is the rock 3 seconds after it is thrown? (A) 12 (B) 60 (C) 132 (D) 300

46. Erin wrote the expression shown below.

2(3 × 4) + 2(3 × 8) + 2(4 × 8)

How many terms are in the expression Erin wrote?

(A) 1 (B) 3 (C) 4 (D) 9

47. Which expression uses exactly three terms and is equivalent to 6(2 + x + x + y)? (A) 8 + 8x + 7y (B) 12 + 12x + 6y (C) 8 + 6x + 6x + 6y (D) 12 + 6x + 6x + 6y

48. There are 30 pencils left at a school store after Shilo buys a certain number of pencils, p. Delia buys 4 times as many pencils as Shilo. The expression below shows the number of pencils remaining at the store after Delia buys her pencils.

30 − 4 × p

How many pencils remain at the store if Shilo bought 3 pencils?

(A) 14 (B) 18 (C) 78 (D) 104

49. Mr. Bryant writes the expression below.

92 ÷ 3(n)

What is the value of the expression when n = 3?

(A) 27 (B) 9 (C) 3 (D) 2

50. Mr. Simpson has 5 boxes of paintbrushes in his art room. After the first week of school, he buys 3 more paintbrushes. The expression below shows the total number of paintbrushes in Mr. Simpson's art room when p represents the number of brushes in each box.

3 + p x 5 If each box contains 8 paintbrushes, how many total paintbrushes are in Mr. Simpson's art room? (A) 18 (B) 28 (C) 43 (D) 55

51. Mr. Cohen wrote the expression below for his 3 cousins to use to find his age. n2 x 7 – 3

If n represents the number of cousins, what is Mr. Cohen's age?

(A) 12 (B) 18 (C) 36 (D) 60

52. What is the value of the expression r 2 + s3 when r = 5 and s = 3 ? (A) 19 (B) 34 (C) 52 (D) 85

53. What is the value of the expression below when r = 2?

9 − 3r

(A) 0 (B) 3 (C) 6 (D) 12

54. What is the value of the expression 6m +33 when m equals 7?

55. Which pair of expressions is equivalent to each other? (A) 2 × 2 × 2 and 32 (B) 6 × 6 × 6 × 6 and 46 (C) 4 × 4 × 4 × 4 × 4 and 45 (D) 8 × 8 × 8 × 8 × 8 × 8 and 88

56. The expression below represents the total cost in dollars, including shipping, for a certain number of music CDs, m.

8m + 5

Based on the expression above, what is the total cost for 4 music CDs? (A) $13 (B) $17 (C) $32 (D) $37

57. Which equation is true when m = 4?

(A) 8 ÷ m + 5 = 7 (B) 4 + 8 ÷ m = 3 (C) 12 ÷ m + 2 = 2 (D) 16 + 4 ÷ m = 5

58. Glen has a flower garden with an area of 24 square feet. He is adding a square vegetable garden with a side length of x feet. The total area, in square feet, of these two gardens will be x2 + 24. What will the total area, in square feet, of the gardens be when x = 9? (A) 35 (B) 42 (C) 81 (D) 105

59. Jenae goes to the store to buy a jacket. The store is having a sale for 30% off the original price of

the jackets. Jenae also has a $10-off coupon she will use to buy the jacket. The expression below can be used to find her final price for a jacket with an original price of p dollars.

0.7p – 10

The jacket Jenae decides to buy has an original price of p = $87.99. What is the final price of the jacket Jenae is buying?

(A) $51.59 (B) $54.59 (C) $71.59 (D) $84.99

60. Which property does the equation below demonstrate?

7(6 + 4) = 42 + 28

(A) associative (B) commutative (C) distributive (D) identity

61. Ms. Elma writes the expression below.

3 x 3 x 3 x 3 x 3 x 3

She asks her sixth-grade students to rewrite the expression in exponential form. Marjorie writes the expression below.

63

On the lines below, explain why Marjorie's answer is incorrect. Be sure to correctly rewrite Ms. Elma's expression in exponential form.

_____________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________

62. Phillip writes the expression 27. Which is another way to write the same expression using repeated multiplication? (A) 2 × 7 (B) 7 × 7 (C) 2 × 2 × 2 × 2 × 2 × 2 × 2 (D) 7 × 7 × 7 × 7 × 7 × 7 × 7

63. Which exponential expression is equivalent to 8 x 8 x 8 x 8?

(A) 44 (B) 48 (C) 84 (D) 88

64. What is the expanded form of 93?

(A) 9 x 3 (B) 9 + 3 (C) 9 + 9 + 9 (D) 9 x 9 x 9

65. Shawn bought 8 boxes of erasers. Each of the erasers is either pink or blue. Each box has x pink

erasers and y blue erasers in it. The expression shown below represents the total number of erasers Shawn bought.

8(x + y)

Which expression also represents the total number of erasers Shawn bought?

(A) 8xy (B) 8x + y (C) 8x + 8y (D) 8 + x + y

66. A teacher bought b books for $4 each and a tote bag for $6. The expression below shows the total amount, in dollars, of her purchase.

4b + 6

Which expression is equivalent to the total amount, in dollars, of the teacher’s purchase?

(A) 10b (B) 10 + b (C) 2(2b + 3) (D) 4(b + 6)

67. Each weekday, a factory produces 16 truckloads of canned corn and 12 truckloads of canned peas. The expression 5(16 + 12) represents the total number of cans produced each week by the factory. Which expression also represents the total number of cans produced each week by the factory? (A) 21 + 12 (B) 21 + 17 (C) 80 + 12 (D) 80 + 60

68. Mrs. Seager’s daughter is y years old. Mrs. Seager’s age, in years, can be represented by the expression 6y – 4. Which expression also represents Mrs. Seager’s age, in years? (A) 2(3y – 4) (B) 2(3y – 2) (C) 3(2y – 1) (D) 3(2y – 4)

CC.2.2.6.B.2: Understand the process of solving a one-variable equation or inequality and apply to real-world and mathematical problems.

1. If 8n = 96, what value of n makes the equation true?

(A) 12 (B) 88 (C) 104 (D) 768

2. What value of x makes the equation below true? 6x - 9 = 39

(A) 5 (B) 8 (C) 13 (D) 24

3. Mr. Ramirez bought 6 tickets to the circus. He spent a total of $12.00. He used the equation below to determine the cost of each ticket, t.

6t = 12.00

How much money did Mr. Ramirez spend on each ticket?

(A) $72.00 (B) $18.00 (C) $6.00 (D) $2.00

4. What value of x makes the proportion below correct?

(A) 1 (B) 3 (C) 6 (D) 9

5. What is the value of n in the equation below?

65 + n = 310

(A) 375 (B) 365 (C) 245 (D) 235

6. What value of x makes the equation below true? 7 + x = 84

(A) 12 (B) 77 (C) 83 (D) 91

7. Kylie made 2 identical stacks of blocks. Each block is a rectangular prism, and each stack of

blocks is in the shape of a rectangular prism. Each stack is x blocks long, x blocks wide, and 8 blocks high. Kylie used a total of 576 blocks to make the two stacks. The equation below can be used to find the length and width of each stack of blocks.

2(8x2) = 576

How many blocks long is one stack of blocks?

(A) 3 (B) 6 (C) 12 (D) 18

8. An inequality is shown below.

x + 2.5 < 20

What is the greatest value of x from the set {10.5, 12.5, 17.5, 19.5} that makes the inequality true?

(A) 10.5 (B) 12.5 (C) 17.5 (D) 19.5

9. A sixth grade class is having a books sale. The students earn $6 for each book they sell. To determine how many books they need to sell to reach their goal of $144, they use the equation below where b represents a certain number of books.

6b = 144

Part A: What is the value of b in the equation?

Part B: The classroom teacher wrote the equation shown below for his students to solve to find the number of kickballs, k, they could buy with the $144, if each kickball cost $9. What is the value of k in the equation?

10. Which situation is best represented by the expression 4h + 2 ?

(A) Kepa spends 4 hours babysitting and 2 hours traveling. (B) Kepa spends 4 hours babysitting and receives $2 in travel expenses. (C) Kepa will be paid $4 for babysitting and spends 2 hours traveling. (D) Kepa will be paid $4 for every hour of babysitting plus $2 for travel costs.

11. What algebraic equation represents "three times the difference of a number, x, and nine equals

fifteen"? (A) 9x - 3 = 15 (B) 3(9) - x = 15 (C) 9 - 3x = 15 (D) 3(x-9) = 15

12. There were n votes cast in an election. Ms. Gordy received 32% of the votes. Which expression

represents the number of votes Ms. Gordy received?

(A) (B) (C) (D)

13. Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. The solution of which equation represents the amount of money (x), in dollars, Craig has after Michael buys the hat? (A) x + 4 = 48 (B) x + 4 = 68 (C) x + 20 = 44 (D) x + 24 = 48

14. Javier watched of a movie. The entire length of the movie is x hours. He watched a total of hours of the movie. To determine the total length of the movie, Javier wrote the equation shown below.

What is the total length, in hours, of the movie Javier started watching?

(A) (B) (C) (D)

15. Neelah received a package in the shape of a rectangular prism as shown below.

The volume of the package is 748 cubic inches. The equation 4 × 11 × h = 748 can be used to find the height (h), in inches, of the package. What is the surface area, in square inches, of Neelah’s package?

(A) 299 (B) 418 (C) 510 (D) 598

16. There are 150 children playing in a park.

The number of boys (x) playing in the park is greater than 50.

The number of girls (y) playing in the park is less than 100.

Which values of x and y could be the numbers of boys and girls playing in the park?

(A) x = 35 and y = 115 (B) x = 50 and y = 100 (C) x = 55 and y = 85 (D) x = 60 and y = 90

17. The sign shown below is posted in front of a roller coaster ride at the Wadsworth County Fairgrounds.

If h represents the height of a rider in inches, what is a correct translation of the statement on this sign?

(A) h < 48 (B) h > 48 (C) h ≤ 48 (D) h ≥ 48

18. Which graph represents the solution set of the inequality below:

x > 26

(A) (B)

(C) (D)

19. In order to purchase a new CD player, Rosa must save at least $85.00. What inequality represents the amount of money, m, Rosa must save? (A) m ≤ 85.00 (B) m < 85.00 (C) m ≥ 85.00 (D) m > 85.00

20. Each student in a woodworking class is given a block of wood that weighs 6.5 ounces. Each

student has to carve a bird out of the block of wood. The finished carving must weigh less than 5.75 ounces. Which inequality represents all the possible weights (x), in ounces, of the part of the block that was not used for the finished carving? (A) x > 0.75 (B) x < 0.75 (C) x > 1.25 (D) x < 1.25

21. A dog kennel can board up to 35 small dogs and 20 large dogs at one time. Which number line represents all the numbers of dogs the dog kennel can board at one time?

(A) (B)

(C) (D)

22. Olivia earned $400 last week. She will spend, at most, 40% of the money she earned and will save the rest. Which inequality represents all the possible amount of money, in dollars, d, Olivia will save? (A) d ≤ 160 (B) d ≥ 160 (C) d ≤ 240 (D) d ≥ 240

23. Sergei knows the bicycle he wants to buy will cost more than $84.00. He has already saved $26.75 for the bicycle. His aunt has given him $20.00 to use to buy the bicycle. Which inequality describes all of the additional amounts of money (m), in dollars, that Sergei could save to be able to buy the bicycle? (A) m > 37.25 (B) m > 46.75 (C) m > 57.25 (D) m > 84.00

CC.2.2.6.B.3: Represent and analyze quantitative relationships between dependent and independent variables.

1. John drew the graph below to represent a situation.

Which statement could describe the situation John graphed?

(A) The temperature of a frozen pizza cooking in an oven increases 5 degrees every minute. (B) The temperature of a frozen pizza cooking in an oven increases 10 degrees every minute. (C) The temperature of a frozen pizza cooking in an oven increases 15 degrees every minute. (D) The temperature of a frozen pizza cooking in an oven increases 20 degrees every minute.

2. A school is selling shirts for a fund-raiser. The school raises the same amount of money for each

shirt sold. The table below shows how much money, in dollars, the school raises based on different numbers of shirts sold.

Which equation shows the relationship between the money raised, in dollars, y, and the number of shirts sold, x?

(A) x = 8y (B) y = 8x (C) x = y + 14 (D) y = x + 14

3. Jamie practices singing for 45 minutes every day. Which equation represents the relationship between the total number of minutes (t) and the number of days (d) Jamie has practiced? (A) d = 45t (B) d = 45 + t (C) t = 45d (D) t = 45 + d

4. It takes Carleen 2 hours to paint 5 posts. Which equation could be solved to determine how many hours, h, it takes Carleen to paint f posts at this rate?

(A) (B) (C) (D)

5. Gary saves $2.50 each day. Which equation describes the relationship between the number of days (d) Gary saves money and the total amount of money (m), in dollars, that he saves?

(A) (B) (C) (D)

6. The graph below shows the number of pages Xavier has read based on the number of minutes he has been reading.

Which equation shows the relationship between the number of pages (y) Xavier has read and the number of minutes (x) he has been reading?

(A) (B) (C) (D)

7. The table below shows the relationship between the number of buses used on a field trip and

the maximum number of riders.

Which equation describes the relationship shown in the table?

(A) r = b + 40 (B) r = 3b + 120 (C) r = 40b (D) r = 117b

8. The temperature in Dylan’s freezer, in degrees Fahrenheit (°F), over several hours in an afternoon is shown in the graph below.

Which equation can be used to determine the temperature, in degrees Fahrenheit, of Dylan’s freezer?

(A) x = 4 (B) y = 4 (C) x = y + 4 (D) y = x + 4

CC.2.3.6.A.1: Apply appropriate tools to solve real-world and mathematical problems involving area, surface area, and volume.

1. On the grid below, sketch and label the geometric shapes A and B using the coordinates of the vertices given for each.

Shape A: (-5, 2), (-2, 2), (-5, 5), (-2, 5) Shape B: (-1, -2), (-6, -2), (-7, -5), (-2, -5)

What is the area of each shape in square units?

Area of Shape A _________________________ square units

Area of Shape B _________________________ square units

2. Willard has a stained glass window with one triangular piece, as shown below.

What is the area, in square inches, of the triangular piece?

(A) 14 (B) 24 (C) 48 (D) 96

3. Mike has a piece of wood. The length is 8 feet and the width is one-half of the length. What is the area, in square feet, of the piece of wood?

(A) 4 (B) 16 (C) 32 (D) 108

4. Jamal’s deck is in the shape of a polygon and is shown on the grid below.

What is the area of Jamal’s deck?

(A) 28 square units (B) 48 square units (C) 100 square units (D) 140 square units

5. Brad has a triangular banner. He knows the ratio of the dimensions of the banner as shown in the diagram below.

Which expression represents the area, in square inches, of Brad’s banner?

(A) 2.25x (B) 4.5x (C) 1.75x2 (D) 3.5x2

6. Triangle EFG has an area of 8 square units. The locations of vertices E and F are shown on the coordinate grid below.

Which coordinate pair could be the location of vertex G?

(A) (-5, -2) (B) (1, -2) (C) (2, -3) (D) (3, 6)

7. The dimensions of a rectangular doormat are 0.6 yard and 75% of a yard. What is the area, in square yards, of the doormat? (A) 0.08 (B) 0.45 (C) 0.8 (D) 45

8. A trapezoid is shown below.

What is the area of the trapezoid?

(A) 21 m2 (B) 27 m2 (C) 34 m2 (D) 42 m2

9. One rectangle has an area of 48 square inches. Another rectangle has an area of 80 square inches. All the side lengths of both rectangles are whole numbers of inches. What is the greatest side length, in inches, that both rectangles could have? (A) 8 (B) 16 (C) 20 (D) 24

10. A toy box has a volume of cubic yard. What is the volume of this toy box in cubic feet?

(A) 1 (B) (C) (D) 9

11. A container in the shape of a rectangular prism is shown below.

What is the volume, in cubic inches, of the container?

(A) (B) (C) (D)

12. Jamal keeps different colors of beads in containers shaped like the one shown below.

What is the volume, in cubic inches, of one of these containers?

(A) (B) (C) (D)

13. A polygon is plotted on the coordinate plane below.

What is the area, in square units, of the polygon?

(A) 25 (B) 32 (C) 43 (D) 55

14. Figure ABCDEF is plotted on the coordinate plane below.

What is the area, in square units, of the figure? (A) 40 (B) 34 (C) 26 (D) 25

15. The point (5, 1) is plotted on the coordinate plane below.

Esteban plots a second point that has the same x-coordinate but opposite y-coordinate as the given point. He then plots a third point that has the same y-coordinate as the given point but the opposite x-coordinate. What is the area, in square units, of the triangle created by these three points?

(A) 10 (B) 12 (C) 20 (D) 30

16. Points P, Q, and R are plotted on the coordinate plane below.

Point S will be plotted so that the four points create a trapezoid with an area of 18 square units. Which coordinate pair could be point S?

(A) (-2, -2) (B) (2, -6) (C) (2, 0) (D) (4, -2)

17. A quadrilateral is drawn on a coordinate grid. The vertices of the quadrilateral are located at the ordered pairs listed below.

(2, 3) (8, 3) (7, 6) (5, 6)

Which statement about the quadrilateral is true?

(A) The quadrilateral is a trapezoid with an area of 12 square units. (B) The quadrilateral is a trapezoid with an area of 18 square units. (C) The quadrilateral is a parallelogram with an area of 12 square units. (D) The quadrilateral is a parallelogram with an area of 18 square units.

18. The coordinates of the vertices of a quadrilateral are given below.

What is the area, in square units, of the quadrilateral?

(A) 24 square units (B) 36 square units (C) 48 square units (D) 72 square units

19. A triangle and a trapezoid are graphed on the coordinate plane shown below.

What is the combined area, in square units, of the two shapes?

(A) 10 (B) 14 (C) 16 (D) 20

20. A number cube has side lengths of inches. What is the volume, in cubic inches, of the number cube?

(A) (B) (C) (D)

21. The vertices of a parallelogram are plotted on the coordinate plane shown below.

What is the area, in square units, of the parallelogram?

(A) 8 (B) 9 (C) 12 (D) 24

22. Which net forms a cube with each pair of its opposite sides adding up to 7?

(A) (B) (C) (D)

23. Shane’s uncle built a wooden box in the shape of a rectangular prism. The length of the box is 6 feet, the width is 4 feet, and the height is 3 feet. After building it, Shane’s uncle sands the entire outside of the box. He can sand the box at a rate of 60 square feet per hour. How long, in hours, does it take him to sand the entire outside of the box?

(A) (B) (C) (D)

24. Phil is making a number cube out of cardboard. He traces one face of the number cube onto a coordinate grid. The coordinates of two opposite vertices of the face are (4, 8) and (12, 16). What is the surface area, in square units, of Phil’s entire number cube? (A) 48 (B) 64 (C) 384 (D) 512

25. Rosa built a jewelry box. She first cut out all the pieces she would need by using the pattern shown below.

Based on the pattern, which phrase best describes the shape of the completed jewelry box?

(A) a cube with a box top (B) a cube with no box top (C) a rectangular prism with a box top (D) a rectangular prism with no box top

26. For a school art project, Kali has 604 square tiles measuring 1 inch on each side. She plans to use

the tiles to completely cover the box in the shape of a rectangular prism shown below.

Which statement about Kali’s tiles is true?

(A) Kali needs 104 more tiles to completely cover the box. (B) Kali needs 476 more tiles to completely cover the box. (C) Kali will have 250 tiles left after completely covering the box. (D) Kali will have 534 tiles left after completely covering the box.

27. Carlos makes wooden boxes without tops to use as flower planters. Each wooden box has a width of 14 inches and a height of 24 inches. The length of the box (x) varies depending on the types of flowers Carlos will plant. A picture of a wooden box is shown below.

Which equation can be used to find the surface area (y), in square inches, of a wooden box that has a length of x inches?

(A) y = 38 + x (B) y = 336x (C) y = 672 + 62x (D) y = 672 + 76x

28. A rectangular prism is pictured below.

What is the surface area of the rectangular prism?

(A) 173 cm2 (B) 320 cm2 (C) 346 cm2 (D) 390 cm2

CC.2.4.6.B.1: Demonstrate an understanding of statistical variability by displaying, analyzing, and summarizing distributions.

1. The Fahrenheit temperature readings on 30 April mornings in Stormville, New York, are shown below. 41º, 58º, 61º, 54º, 49º, 46º, 52º, 58º, 67º, 43º, 47º, 60º, 52º, 58º, 48º, 44º, 59º, 66º, 62º, 55º, 44º, 49º, 62º, 61º, 59º, 54º, 57º, 58º, 63º, 60º Using the data, complete the frequency table below.

On the grid below, construct and label a frequency histogram based on the table.

2. A store owner wrote down the lengths, rounded to the nearest minute, of 18 playlists on the store’s music player. The lengths are shown below.

34, 37, 39, 42, 42, 44, 46, 48, 49, 49, 50, 55, 56, 56, 57, 61, 62, 64

The store owner then made the histogram shown below to represent this data.

The store owner made an error in the height of one of the bars of the histogram. Which range of times in the histogram has a bar that is incorrect?

(A) 30–39 (B) 40–49 (C) 50–59 (D) 60–69

3. The numbers of people who attended the monthly meetings at a school last year are listed below.

12 14 15 15 16 16 16 17 18 18 18 20

Which box-and-whisker plot represents the numbers of people who attended the monthly meetings last year?

(A) (B)

(C) (D)

4. The heights, rounded to the nearest inch, of daisies in a garden are listed below.

6 7 8 10 6 5 5 9 8 6

Which histogram correctly displays the heights?

(A) (B)

(C) (D)

5. Maya asked her classmates how many pencils they carried in their bookbags. She found that half of her classmates had between 2 and 6 pencils. Which box-and-whisker plot could represent this information?

(A) (B)

(C) (D)

6. Yvonne and her family went on a 10-day fishing trip. The data set below shows the number of fish they caught each day.

14 4 8 16 7 12 10 11 10 9

Which box-and-whisker plot represents the number of fish Yvonne and her family caught on their fishing trip?

(A)

(B)

(C)

(D)

7. Malik interviewed 20 people who each have just one sibling. He asked them what the difference in age, in years, is between them and their siblings. The line plot below shows Malik’s data.

Malik removes the point representing the 10-year age difference from his data. Which measure changes the least in value when this point is removed from Malik’s data?

(A) mean (B) median (C) mode (D) range

8. Roger is on the basketball team at Ocean View Middle School. In eleven games he scored the following number of points: 8, 10, 16,7, 13, 8, 5, 6, 7, 10, and 8. Which statement is correct about the points Roger scored? (A) mean = mode (B) mean < mode (C) median = mode (D) median < mode

9. The diagram below shows a side profile of a lake.

The deepest part of the lake is indicated by the unknown depth on the diagram. Based on the 5 depth measurements above, the mean (average) depth of the lake is 46 feet. What is the measurement of the deepest part of the lake?

10. Ms. Peterson's class sold flower seeds. The graph below shows the number of seed packets sold

during 5 days.

Part A: What is the difference between the least number of packets sold in one day and the greatest number of packets sold in one day?

Part B: What is the mean (average) number of packets sold per day during the 5 days shown?

11. The points John scored in his first 12 basketball games are shown in increasing order below.

5, 7, 10, 14, 16, 16, 20, 20, 20, 21, 21, 22

John scores 29 points in the next game. Which statement is true of the median of his points for the 13 games compared to the median of his points for the first 12 games?

(A) The median will stay the same. (B) The median will increase by one. (C) The median will increase by two. (D) The median will increase by four. 12. The list below shows the number of large bags of popcorn sold each day at a movie theater over

five days. 18 19 22 18 23 What is the mean (average) number of large bags of popcorn sold over the five days? (A) 18 (B) 19 (C) 20 (D) 22

13. Jacob received the following scores on his last five science tests.

81, 73, 80, 94, 97

What is the range of Jacob’s scores for these five science tests?

(A) 16 (B) 24 (C) 81 (D) 85

14. A city council recorded the number of new trees planted at seven of the city’s parks. The number of trees planted is recorded below.

29, 11, 13, 29, 7, 21, 16

What is the median number of trees?

(A) 16 (B) 18 (C) 21 (D) 29

15. Every day at 7 A.M., Tamara recorded the outside temperature in degrees Fahrenheit (ºF). She placed the data for one week in the table below.

What is the range for the temperatures given in the table?

(A) 19°F (B) 22°F (C) 38°F (D) 61°F

16. Each year a fifth-grade class holds a bake sale. The list below shows the number of cookies sold in the last 7 years.

21, 33, 61, 52, 48, 21, 58

What is the mean (average) number of cookies sold in the past 7 years?

(A) 21 (B) 40 (C) 42 (D) 48

17. The list below shows the number of seconds between each spray of water from the fountain in a town square. 25, 10, 30, 25, 40 What is the mean (average) number of seconds between each spray of water? (A) 25 (B) 26 (C) 30 (D) 36

18. The numbers below represent the ages of five of Terrell's relatives. 56 99 60 51 99 What is the range of the ages? (A) 48 (B) 60 (C) 73 (D) 99

19. The list below shows the number of dogs that stayed at Doggy Daycare over an eight-day period.

40, 31, 43, 43, 26, 31, 26, 43

What is the mode of these numbers?

(A) 40 (B) 43 (C) 26 and 31 (D) 31 and 43

20. A clerk records the number of bags of cat food sold at her shop during a five-day period. The data is recorded below.

27, 13, 26, 14, 15

What is the mean (average) number of bags of cat food sold?

(A) 19 (B) 17 (C) 14 (D) 13

21. The table below shows the low temperatures, in degrees Fahrenheit (°F), in Millie’s hometown for 5 days in February.

What is the range, in degrees Fahrenheit, of the data in the table?

(A) 2° (B) 7° (C) 10° (D) 12°

22. What is the mean (average) of the set of numbers below? 15, 39, 30, 10, 8, 39, 27 (A) 39 (B) 31 (C) 27 (D) 24

23. The list below shows the weights, in pounds, of five different kangaroos.

65, 75, 80, 85, 85

What is the mean (average) weight, in pounds, of the kangaroos?

(A) 78 (B) 80 (C) 85 (D) 88

24. The table below shows the average lengths of different types of beetles.

What is the median, in millimeters, of the data?

(A) 8 (B) 10 (C) 12 (D) 14

25. Hector and his friends collect baseball cards. The number of cards in each person’s collection is shown below.

36, 61, 55, 72, 47, 12, 32, 44, 55

What is the range of the data?

(A) 60 (B) 55 (C) 47 (D) 46

26. The annual salaries of the employees working at Kevin's restaurant are listed below. $21,750.00 $33,500.00 $18,900.00 $22,965.00 $30,080.00 $47,250.00 $37,750.00 $46,500.00 What is the range for these salaries? (A) $24,750.00 (B) $25,500.00 (C) $27,600.00 (D) $28,350.00

27. Sheena recorded the amount of time, in minutes, it took to drive from her house to her office during a five-day period. Her driving times are shown below. 65, 50, 56, 55, 64 What is the mean (average) number of minutes it took Sheena to drive from her house to her office? (A) 68 (B) 65 (C) 58 (D) 55

28. The list below shows the heights, in meters, of five different buildings.

180, 170, 120, 180, 160 What is the median height, in meters, of the buildings? (A) 162 (B) 165 (C) 170 (D) 180

29. The prices of plasma televisions at an electronics store are shown below.

$1,544 $1,242 $2,285 $1,116 $1,899 $1,649 $1,423 $1,242 What is the range of the prices of these plasma televisions? (A) $1,043 (B) $1,169 (C) $1,242 (D) $1,484

29. The line plot below shows the numbers of servings of fruit some students ate in one day.

When the data for two more students are added to the line plot, the mean number of servings changes but the median number of servings does not change. Which pair of numbers could be the numbers of servings of fruit for these two students?

(A) 0, 1 (B) 2, 4 (C) 3, 3 (D) 4, 5

30. Jacob has 1 penny, 5 nickels, 3 dimes, and 4 quarters. What is the median of the values of Jacob’s coins? (A) 5 cents (B) 10 cents (C) 12 cents (D) 24 cents

31. Bella called 7 pizza restaurants and recorded the number of pizza toppings offered at each restaurant. Her data are shown below.

6, 24, 14, 16, 11, 14, 20

What is the median number of pizza toppings offered by the restaurants Bella called?

(A) 14 (B) 15 (C) 16 (D) 18

30. Tony asked his classmates how many kinds of cereal they had at home. The data set is shown in the list below.

0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 4, 5, 5, 6, 7, 7

Tony calculates the mean, median, mode, and range of this data. He then excludes the values of 0 from the data and recalculates the mean, median, mode, and range. Which measure remains the same as it was for the original data set?

(A) mean (B) median (C) mode (D) range

32. Esther counted the number of slides at the playgrounds at each park in her city. She correctly calculated that the mean number of slides per playground is 3. The incomplete line plot below shows some of Esther’s data.

Which statement could describe the information that is missing from Esther’s line plot?

(A) There should be data for 1 more playground with 2 slides. (B) There should be data for 1 more playground with 4 slides. (C) There should be data for 1 more playground with 5 slides. (D) There should be data for 2 more playgrounds with 3 slides each.

33. The heights, rounded to the nearest foot, of the trees in a park are listed below.

23 13 8 52 26 42 48 52

What is the median of the tree heights?

(A) 33 feet (B) 34 feet (C) 39 feet (D) 44 feet

34. Enrique and his classmates recorded the distances, in miles, they each traveled for spring break. Their data is shown in the box-and-whisker plot below.

Which statement must be true?

(A) The median distance traveled is 80 miles. (B) The median distance traveled is 200 miles. (C) The mean distance traveled is 80 miles. (D) The mean distance traveled is 200 miles

35. The finish times, in seconds, of ten runners in a race are shown below.

12.8 12.6 13.5 13.8 13.7 12.8 13.3 15.8 12.8 14.9

Which statement about the finish times, in seconds, is true?

(A) Most of the finish times are higher than the mean. (B) Most of the finish times are clustered around the mode. (C) Most of the finish times are between 12 and 13 seconds. (D) Most of the finish times are clustered around the median.

36. The list below shows the number of players who have played in a softball league each year over

the past five years.

41 55 72 80 70

Which statement about the numbers of players in the softball league over the past five years is true?

(A) The mean is the best representation of the numbers of players in the softball league because 41 is an outlier.

(B) The median is the best representation of the numbers of players in the softball league because 80 is an outlier.

(C) The interquartile range of the numbers of players is small because there is little variability in the number of players in the softball league from year to year.

(D) The mean absolute deviation of the numbers of players is large because there is a lot of variability in the number of players in the softball league from year to year.

37. The bar graph below shows how many questions various percentages of students in a class answered correctly on a recent 10-question quiz.

Which statement best describes the data displayed in the bar graph?

(A) Half the class answered from 0 to 5 of the 10 questions correctly. (B) Most of the students answered approximately 35% of the quiz questions correctly. (C) The number of quiz questions answered correctly is clustered around 7 out of 10. (D) The percentage of students increases as the number of questions answered correctly increases.

40. The histogram below represents the weights, rounded to the nearest pound, of several orders of dog food.

Which statement best describes the weights of the orders represented in the histogram?

(A) The orders cluster near 20 pounds. (B) The orders are symmetrical about 8 pounds. (C) There is a gap in the orders from 11 to 15 pounds. (D) There is a peak in the orders from 6 to 10 pounds.

41. For a class project, Andrew conducted a random survey of 22 people at a library. He asked each person how many hours, rounded to the nearest hour, he or she spends watching the news on television each week. The histogram below shows the results.

Which pair of statements must be true about the results of the survey?

(A) The mode must be in the interval 1–5. The mean could be in the interval 16–20.

(B) The median could be in the interval 1–5. The mean must be in the interval 11–15.

(C) The median must be in the interval 6–10. The range could be less than 20.

(D) The mode could be in the interval 16–20. The range must be greater than 20.

38. The lengths, in inches, of the fish Casey caught are listed below.

8 8 12 11 10 8 10 9

Casey catches one more fish that is 13 inches long. Which measure will remain the same when the 13-inch fish is included in the list of fish lengths?

(A) mean (B) median (C) mode (D) range