MA318 – Review for Final Exam
Part A – Procedural and Computational knowledge
1. Perform the operations on fractions, using the traditional algorithms, and reducing the answer to lowest terms if needed.Write final answers in mixed numeral form. Show the work.
a. b. c.
2. Arrange the following numbers from smallest to largest:
0.6-11/162/36%5/8-0.7
5. Calculate the following: a. b.
6. Find the fraction representation of
7. Perform the indicated operations. You may use a calculator to check your answer, but I want you to show your work here to ‘verify’ for me that you understand the traditional algorithms for doing decimal operations.
a. 5.214 – 3.04b. 0.125 x 3.26c. 1.568 0.14
8.
9. Fill in the following table:
FractionDecimalPercent
1/3______
______2/5 %
______3.05______
3/8______
Part B – Conceptual and methodological knowledge
1. Draw a model for each of 1a, 1b, 1c in Part A.
2. Model -4 – (-9) using two color chips and then with a number line.
3. Define absolute value.
4. List and explain three attributes of an ideal measurement system.
5. List at least 3 ways to mislead with a graph.
6. List at least 3 ways to mislead with survey statistics.
7. Be able to list the properties that integers, rational numbers, and whole numbers have in common and those that are unique to each number type.
8. Explain the difference between probability and odds.
Part C – Problem solving ability
1. A restaurant has 53 occupied or reserved tables and some tables that are free: three-fifths of all the tables are occupied and four-elevenths of all the tables are reserved for a large dinner party. How many total tables are there in the restaurant?
2. If the ratio of boys to girls is 3:2 and the total number of children is 85, how many boys are there?
3. Of circle graphs, bar graphs, line graphs, and histograms, which would make the best choice to represent the following types of data?
a. Trends over time
b. Frequency of continuous data
c. The proportion of certain categories of data compared to the whole data set
4. Make a stem and leaf plot of this data which represents the number of laps run by each participant in a marathon.
46, 65, 55, 43, 51, 48, 57, 30, 43, 49, 32, 56.
5. The following scores are from a 10 point quiz: 5, 6, 6, 7, 7, 8, 8, 8, 8, 9
a. Find the mean, median, mode, and range of these data.
b. Draw a histogram representing these data. Don’t forget tolabel and indicate scales.
6. How many different ways can 7 people choose a president, vice-present, and secretary for their group? How many different ways can a committee of three people be chosen from 7 people?
7. Find the following probabilities:
a. P(exactly 2 heads when tossing 3 coins)b. P(prime sum when tossing 2 dice)
8. Draw a tree diagram to represent an experiment of tossing a coin, then drawing a number from
0, 1, 2, 3, 4 ? Then answer the probability questions given:
a. P(Head and then an even number)b. P(Head or even number)
9. Scale drawings will be created for the EiffelTower which is 986 feet tall and the EmpireStateBuilding which is 1250 feet tall. If the EmpireStateBuilding is drawn 5.6 cm tall, how long should the Eiffel tower be drawn? Round to the nearest tenth.
10. Suppose you drive your car an average of 4460 miles every half-year. At the end of 2.75 years, how far will your car have gone?
11. Jane bought a bicycle and sold it for 30% more than she paid for it. She sold it for $104. How much did she pay for it?
12. A box contains five colored balls and four white balls. If three balls are drawn one-by-one, find the probability that they are all white if the draws are done:
a. With replacement
b. Without replacement
SelectedAnswers to Final Exam Review
A1. a. 11/15b. 9/10c. 18/5 or 3 3/5A2.
A5. a. 32b. -2A6.
A7. a. 2.174b. 0.4075c. 11.2A8. graphA9.
B1.
B4. Portability – can be reproduced without a prototype
Convertibility – There are simple ratios among units of the same type
Interrelatedness – Different types of units are defined in terms of each other, using simple relationships.
B5. distort scale, 3-D effects, pictorial embellishments
B6 sampling bias, people lie, biased questions
B8 Probability is a part-whole comparison of the number of ways event E can happen compared to the cardinality of the sample space. Odds for an event are the number of ways event E can happen compared to the number of ways not-E can happen – it is a part-part comparison.
C1. x = 55C2. 51 boysC3. a. line graph, b. histogram, c. circle graph
C4. Graph – ask about if you have problems.
C5. a. mode = 8, median = 7.5
mean = 7.2, range = 4
b. histogram
C6. 210 ways, 35 ways
C7. a. 3/8b. 15/36 = 5/12
C8. a. 3/10 b. 8/10 = 4/5C9. 4.4 cmC10. 24530 miles
C11. $80C12. a. 64/729b. 1/21