Prof. Israel N. Nwaguru
MATH 0306
CHAPTER 6 - REVIEW
WORKOUT EACH PROBLEM NEATLY AND ORDERLY ON SEPARATE SHEET
THEN CHOSE THE BEST ANSWER
TO EARN ANY CREDIT, YOU MUST SHOW
STEPS LEADING TO THE ANSWER
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Find fractional notation for the ratio. You need not simplify.
1) 8 to 3
Answer:
8
3
2) A baseball team has played 7 games so far this season. The team won 5 games. What is the ratio of games
won to games played so far?
Answer:
5
7
Find the rate as a ratio of distance to time.
3) 48 km, 6 hr
Answer: 8
km
hr
Determine whether the two pairs of numbers are proportional.
4) 25, 30 and 3, 5
Answer: No
Solve. Give your answer as a mixed number if appropriate.
x
5
=
5)
24 12
Answer: 10
Find decimal notation.
6) 43%
Answer: 0.43
7) 200%
Answer: 2.0
Find decimal notation for the number in percent notation.
8) At State University, 43% of the students are female.
Answer: 0.43
1
Give three kinds of notation for the percent.
9) 27%
Answer:
27
1
; 27 ×
; 27 × 0.01
100
100
10) 130%
Answer:
130
1
; 130 ×
; 130 × 0.01
100
100
Find percent notation.
11) 0.722
Answer: 72.2%
12) 4.3
Answer: 430%
13) 3
Answer: 300%
14) 0.00017
Answer: 0.017%
Find percent notation for the number in decimal notation.
15) Rainfall decreased by 0.283 this year.
Answer: 28.3%
16) Sales this year were 5.3 times last year's sales.
Answer: 530%
Find percent notation.
61
17)
100
Answer: 61%
18)
3
10
Answer: 30%
19)
17
20
Answer: 85%
20)
3
16
Answer: 18.75%
2
21)
86
100
Answer: 86%
Find percent notation for the fraction notation in the sentence.
11
of his income. What percent of his income goes to pay the rent?
22) Bob's rent is
20
Answer: 55%
23)
21
of the residents of Ashville exercise regularly.
25
Answer: 84%
24)
49
of those diagnosed with a certain disease survive at least five years.
50
Answer: 98%
The pie chart gives the fraction of a companies total yearly sales by employee.
25) What percentage of yearly sales were attributed to Sue?
Answer: 21%
Find fraction notation and simplify.
26) 425%
Answer:
17
4
27) 0.8%
Answer:
1
125
3
28) 60%
Answer:
29)
3
5
1
%
11
Answer:
1
1100
1
30) 53 %
3
Answer:
8
15
Use the information from the bar graph to determine the answer.
31) Bob has 5 apples trees in his yard and picks all of the apples from the trees. The following bar graph gives
the percentage of the total crop associated with each tree.
48%
22%
17%
8%
5%
Write the fraction notation for the percentage of apples that came from Tree #2.
Answer:
2
25
Find fraction notation for the percent in the problem.
32) An employee had 2% deducted from his paycheck for deposit in the company 401K plan.
Answer:
1
50
33) A bowl of oatmeal supplies 15% of the minimum daily requirement of an essential vitamin.
Answer:
3
20
4
Supply the missing numbers.
34)
FRACTION DECIMAL PERCENT
NOTATION NOTATION NOTATION
91.6%
Answer:
11
12
0.916
35)
FRACTION DECIMAL PERCENT
NOTATION NOTATION NOTATION
0.88
Answer:
22
25
88%
Translate to an equation. Do not solve.
36) What is 14.4% of 86?
Answer: n = 0.144 · 86
37) 54% of 74 is what?
Answer: 0.54 · 74 = y
Solve the problem. Round your answer to two decimal places if necessary.
38) What is 0.6% of 1000?
Answer: 6
39) What is 8.2% of 47?
Answer: 3.85
Solve the problem. Round to the nearest unit.
40) 24 is 6% of what?
Answer: 400
41) 50% of what is 80?
Answer: 160
Solve the problem. Round your answer to the tenth of a percent.
42) What percent of 2365 is 24?
Answer: 1.0%
Solve.
43) The parking lot at a grocery store has 50 cars in it. 14% of the cars are blue. How many cars are blue?
Answer: 7 cars
44) On a test of 65 items, Jennifer got 13 correct. What percent were incorrect?
Answer: 80%
5
Solve the problem.
1
45) A computer printer costs $570. If the sales tax rate is 7 %, how much tax is charged and what is the total
2
price? Round your answers to the nearest cent.
Answer: $42.75, $612.75
46) A picture costs $320. The sales tax is $28.80. What is the sales tax rate and what is the total price paid?
Answer: 9%, $348.80
47) The price of a necklace is $18.99. If the salesperson's rate of commission is 10%, how much commission is
earned on the sale of the necklace? Round to the nearest cent.
Answer: $1.90
48) Ellen sells $340 worth of clothes and earns $30.60 in commission. What is the commission rate?
Answer: 9%
Find the missing values.
49) Marked Price Rate of Discount Discount Sale Price
$40.80
20%
Answer: $8.16, $32.64
Find the simple interest. Round your answer to the nearest cent.
50) Principal = $440
Rate = 9%
1
Time in years = 2
2
Answer: $99.00
6