Download Week Nine Cumulative Final Exam

Week Nine Cumulative Final Exam
Name: __________________________
1. Write 4  4  4  4  4 as a power of 4.
45
2. Write the number in expanded form.
684
6×100 + 8×10 + 4×1 = 600 + 80 + 4
3. Estimate the result in the following division problem. (Remember to round divisors to
the nearest ten and dividends to the nearest hundred.)
5,983 divided by 146
6,000 / 150 = 40
4. Jamal is fencing a rectangular field that measures 25 ft by 21 ft. How much fencing
should he buy?
Perimeter = 2 × 25ft + 2 × 21ft = 92 ft
5. Find the area of the figure.
A = (50 ft) (40 ft – 15 ft) + (15 ft ) (15 ft) = 1475 ft2
6.
Divide
6 2
 . Write the result in simplest form.
25 15
6 15 3 3 9
4
    1
25 2 5 1 5
5
7.
Estimate
19
1
3 .
20
9
1×3=3
8. A computer can execute 64 instructions per microsecond. How many instructions can it
execute in 10 minutes?
64 inst 106 s 60 s


10 min  3.84 1010 instructions = 38400000000 instructions
s
s
min
9.
The length of a rectangle is
7
32
yd, and its width is
yd. What is its area in square
8
49
yards?
7
32
4
A  ( yd )( yd )  yd 2
8
49
7
10. Find the greatest common factor of 30, 45, and 50.
30 = 2*3*5, 45=32*5, 50=2*52 The greatest common factor is 5.
11. Arrange the given fractions from smallest to largest.
5 1 1
, ,
8 9 15
1 1 5
, ,
15 9 8
12.
1
gallons each day driving to and from
2
work. How much should you budget for gasoline over the next month (about 20
workdays)?
Gasoline is about $2 per gallon. You use about 1
3 gallons
$2

 20 days  $60
2 day
gallon
13. Add.
1 3 14
 
4 10 15
15 18 56 89
29



1
60 60 60 60
60
14.
1
3
1
feet long, 2 feet long, and 7 feet long to frame
2
4
2
a doorway. If he started with 20 feet of molding, how much was left over?
Darren used pieces of molding 7
8
2
3
2
1
18  7  2  7  2 feet
4
4
4
4
4
15.
5
The interest rate on an equity line of credit was 7 % last month. This month the
8
3
interest rate is 9 %. How many percentage points has the interest rate increased?
8
11
5
6
3
8 7 1 1 %
8
8
8
4
16. Complete the following statement, using the symbol <, =, or >.
3.671 ___>__ 3.67
17. For the decimal 8.62354:
What is the place value of 5?
Ten-thousandths
18. Find the area of the figure.
A = ½ b h = ½ (9 ft) (4 ft) = 18 ft2
19. Rochelle purchased an appliance that cost $1,004.08 with interest included. She paid
$250 as a down payment and agreed to pay the remainder in 24 monthly payments.
What amount will she be paying per month?
$1004.08  $250
 $31.42
24
20. Find the perimeter of the figure. Use 3.14 for and round your answer to one decimal
place.
P = 11 in + 11 in + ¼ (2 ×11in) = 39.27 in
21. Which rates are equivalent?
D.
A)
B)
C)
D)
22.
18 27 3


24 36 4
18 U.S. dollars ? 27 U.S. dollars

24 Canadian dollars 48 Canadian dollars
18 U.S. dollars ? 54 U.S. dollars

24 Canadian dollars 60 Canadian dollars
18 U.S. dollars ? 45 U.S. dollars

24 Canadian dollars 48 Canadian dollars
18 U.S. dollars ? 27 U.S. dollars

24 Canadian dollars 36 Canadian dollars
2
1.8
Solve for the unknown: 3 
.
10
r
2
3
r  10 1.8, r  18   27
3
2
23. The width of a swimming pool is 18.5 ft, and the length is 10.75 ft. Write the ratio of
length to width as ratio of whole numbers.
10.75 43

18.5 74
24. Vivica washes 6 cars in 60 minutes. How many minutes does it take Vivica to wash one
car?
60 min
 10 min
6
25. Carlos works 8.25 h and receives $102.30 pay. What will he receive at the same rate if
he works if he works 14 h?
$102.30 x
$102.30

 $173.60
, x  14 
8.25
14
8.25
26.
2
Write 116 % as a fraction or a mixed number.
3
350
350
1
%
1
3
300
6
27. Estimate:
What is 78.8% of 700?
80% × 700 = 0.8 × 700 = 8 × 70 = 560
28. 97.5 is 39% of what number?
0.39 x = 97.5, x = 97.5 / 0.39 = 250
29. If $5,600 is deposited into an account paying 5% interest compounded annually (at the
end of each year), how much money is in the account after 3 years?
$5600 × (1.05)3 = $6482.70
30. Identify the base in the following application:
The sales tax rate in a state is 8%. If you pay a tax of $2.50 on an item that you
purchase, what is its selling price?
8% × x = $2.50, x = $2.50 / 0.08 = $31.25
31. Find the missing length of the right triangle.
202  482  2704  52
32. Measure the angle with a protractor.
60°
33. Which two triangles are similar?
a and c
34. Find the missing angle.
180° - 73° - 75° = 32°
35. my  37
Find the complement of y.
90° - 37° = 53°
36. Find the five-number summary of the following set of numbers.
0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27
0.08, 0.16, 0.18, 0.20, 0.22, 0.25, 0.27, 0.27, 0.28, 0.32
Minimum = 0.08
Lower quartile = 0.18
Median = (0.22 + 0.25) / 2 = 0.235
Upper quartile = 0.27
Maximum = 0.32
37. Fiona kept the following records of her phone bills for 12 months:
$55, $50, $64, $54, $71, $57, $55, $48, $66, $71, $59, $70
Find the mean and median of Fiona's monthly phone bills.
$48, $50, $54, $55, $55, $57, $59, $64, $66, $70, $71, $71
Mean = (48+50+54+55+55+57+59+64+66+70+71+71)/12 = $60
Median = (57+59)/2 = $58
Use the following to answer question 38:
38. Use the graph, showing the yearly food costs of a family.
What was the decrease in the cost of food from 2002 to 2003?
$11000 - $10500 = $500
39. Construct a box-and-whisker plot for the set of numbers.
348, 234, 146, 384, 247, 487, 276, 221, 303
146, 221, 234, 247, 276, 303, 348, 384, 487
146
227.5
276
366
487
40. The table below gives the number of older (age 65 and older) foreign-born residents of
the U.S. by region of birth in the year 2000.
Region
Europe
Latin America
Asia
Other areas
Population
1,200,000
970,000
690,000
240,000
Create a pie chart for the information.
Foreign-born residents of the U.S. by
region of birth in the year 2000
240000
8%
690000
22%
1200000
39%
Europe
Latin America
Asia
Other Areas
970000
31%
41. Perform the indicated operation.
–14  (–18)
–18  (–18)
 14  18 4
  undefined
 18  18 0
42. Determine the maximum and minimum values of the following set of numbers.
36
2 5
26
,  1,  , ,  5,
7
3 4
9
Minimum: -36/7
Maximum: 3
3, 
43. Evaluate – 82  – 89 .
82 – 89 = -7
44.
45.
12
.
0
Undefined
Divide
 1
Find the reciprocal of    (15).
 5
1
1

3
3