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Chapter 14 Practice Set 2 (Problems 26-44)

Total questions: 19

Worksheet time: 38mins

Name
Class
Date
1.

26. There are 35 students in Ms. McCune’s class. The frequency table above shows the number of students who wrote 0, 1, 2, 3, and 4 admission essays. What is the mean number of essays written per student in the class?

a)


1 351\ \frac{3}{5}

b)

1 571\ \frac{5}{7}

c)

2 172\ \frac{1}{7}

d)

2 452\ \frac{4}{5}

2.

27. Yaping played 5 rounds of golf and her mean score was 80. Ken played 4 rounds of golf. If both Yaping and Ken have the same sum of golf scores, what was Ken’s mean score?

a)


8585

b)

9090

c)

9595

d)

100100

3.

28. At a basketball tournament, teams were divided into four groups. The table above shows both the highest score and the range of scores of each group. What is the overall range of all the scores in all four groups?

a)


1212

b)

1313

c)

1919

d)

3737

4.

29. Train A and Train B start off at the same point and are traveling in the same direction. It takes Train A 30 minutes to get to Station X, moving at 100 miles per hour. It takes Train B 100 minutes to get to Station Y, moving at 30 miles per hour. What is the difference in the distances to Station X and Station Y?

a)


00 miles

b)

3030 miles

c)

4545 miles

d)

7070 miles

5.

30. Isla swims 4 laps in 2 minutes, and 1 lap = 25 meters. Which of the following calculations would give her average speed in meters per second?

a)


2×2560\frac{2\times25}{60}

b)

4×2560\frac{4\times25}{60}

c)

2×6025\frac{2\times60}{25}

d)

4×6025\frac{4\times60}{25}

6.

31. Jenny starts running at a pace of 10 miles per hour. Her calf starts to hurt after 12 minutes, so she slows down to 6 miles per hour for the rest of her run. If the total distance she runs is 5 miles, how many minutes was the run, in total?

a)


1616

b)

3030

c)

4242

d)

6060

7.

32. Sanjay sews quilt squares at a rate of 5 bundles for every 100 square inches. At this rate, how many bundles of quilt squares will he need to sew a quilt that is 800 square inches?

a)


44

b)

4040

c)

400400

d)

4,0004,000

8.

33. Andi must write a 7-page paper for school. She wrote 3 pages in 80 minutes. At this rate, how many additional hours will it take her to finish writing the paper?

a)


1 381\ \frac{3}{8}

b)

1 231\ \frac{2}{3}

c)

1 791\ \frac{7}{9}

d)

2 142\ \frac{1}{4}

9.

34. Three bicyclists ride laps around a trail. Liam completes 1 lap every 4 minutes, Mason completes 1 lap every 5 minutes, and William completes 1 lap every 6 minutes. How many laps does Liam complete before all three bicyclists are at the beginning of the trail at the same time?

a)


1010

b)

1212

c)

1515

d)

6060

10.

35. A car travels 60 kilometers in one hour before a piston breaks, then travels at 30 kilometers per hour for the remaining 60 kilometers to its destination. What is its average speed in kilometers per hour for the entire trip?

a)


2020

b)

4040

c)

4545

d)

5050

11.

36. There are 16 flowers in a vase. Half of the flowers are yellow, and a quarter of them are pink. What is the ratio of pink flowers to those neither yellow nor pink?

a)


1:11:1

b)

1:21:2

c)

1:41:4

d)

3:43:4

12.

37. Sara has 42 boxes in her closet. Of these,  \frac{1}{3}   are green and  17\frac{1}{7}  are red. What is the ratio of the number of green and red boxes to the number of boxes that are not green or red?


a)

 1:21:2  

b)

 10:1110:11  

c)

 10:2110:21  

d)

 20:2320:23  

13.

38. If  3225=a150\frac{3}{225}=\frac{a}{150} , what is the value of  a ?a\ ?   


a)

 22  

b)

 33  

c)

 44  

d)

 55  

14.

 ab=cd\frac{a}{b}=\frac{c}{d}  

39. In the equation above, a, b, c, and d are positive numbers. Which of these is equal to c ?

a)

dab\frac{d}{ab}

b)

bad\frac{b}{ad}

c)

abd\frac{ab}{d}

d)

adb\frac{ad}{b}

15.

40. Edwin is traveling to a national park. The distance between the national park and his home is 168 kilometers. If he has traveled three-quarters of the distance, how many more meters does Edwin need to travel to reach the national park?

a)


4242

b)

126126

c)

42,00042,000

d)

126,000126,000

16.

41. A group of people hoping to win tickets to a concert includes 15 people over age 30, 14 people between 20 and 30 years old, and 10 people under 20. If a 14-year-old enters the pool of applicants, what will be the probability of someone over age 30 winning the tickets?

a)


140\frac{1}{40}

b)

1140\frac{11}{40}

c)

1139\frac{11}{39}

d)

38\frac{3}{8}

17.

42. The probability of not picking a purple marble out of a bag of marbles is  \frac{2}{5}   . If 2 purple marbles are taken out of the bag, reducing the number of purple marbles to 4, what will the new probability of picking a purple marble be?


a)

 1413\frac{14}{13}  

b)

 715\frac{7}{15}  

c)

 815\frac{8}{15}  

d)

 12\frac{1}{2}  

18.

43. Ruthie is trying to choose what reading material she wants to take on a vacation. She wants to read 1 fiction book and 1 nonfiction book. If Ruthie has 8 fiction books and 7 nonfiction books to choose from, how many possible combinations of books could she take with her?

a)


33

b)

88

c)

5656

d)

112112

19.

44. Julia is casting a play with 4 main roles. Six students have tried out. How many different combinations of 4 students can Julia cast from the 6 students?

a)


33

b)

88

c)

1515

d)

125125