T101 FINAL REVIEW SUPPLEMENT A
1. Find the 14th term of the arithmetic sequence 3, 6, 9, 12 . . .
2. The following sequence could be either arithmetic or geometric depending on the
numbers replacing the blanks. Find both possible sequences.
20, , 80, ,
3. List the next three terms to continue a pattern. (Finding differences may be helpful.)
5, 9, 16, 27, 43, 65, 94
4. Find the first five terms of the sequence whose nth term is n3 + 5.
5. How many dots will be in the sixth figure of this pattern?
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6. If
the pattern below is continued, what would be the total number of squares in
the 6th diagram?
If
this doesn’t print off well, the pattern is 1, 3, 6, …
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7. A store clerk sets up a display of soup cans in the form of a triangle, using 12 soup cans at the base and 1 at the top. (Only part of the display is shown below.)
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How many soup cans were used by the clerk to make the arrangement?
8. If U = {40, 41, 42, 43, 44, 45, 46}, A = {41, 43, 46}, and B = {41, 45}, find each of the following:
(a) 
(b)
(c)
(d)
9. If the universal set U = {27, 28, 29, 30, 31, 32, 33, 34}, A = {29, 30, 31, 33, 34}, and
B = {30, 31, 32, 33}, find each of the following:
(a) 
(b)
(c)
(d)
10. Write 1492 in Roman numerals. Use the following symbols: I, V, X, L, C, D, M
11. Rewrite the following division sentence as a multiplication sentence; then rewrite the
multiplication sentence as a new division
sentence. 
12. Identify
the property illustrated. 
13. If it takes 30 seconds to make each cut, how long will it take to cut 16 boards that are 15 feet
long into boards that are 5 feet long if only one board can be cut at a time? (Careful – make drawing)
14. Kathy's charge account has a starting balance of $617. She makes purchases of $80, $90, $55, and $26. She makes a payment of $23 and returns some merchandise for $41. What is her balance at this time?
15. Find the missing numbers.
88
2
7
+
79
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1447
16. I am thinking of a whole number. If I divide it by 11, then multiply by 15, then subtract 18, and
then add 60, I end up with 87. What was my original number?
17. Find -x when x = -3.
18. Add: 9 + (-14) + (-7) + 17 + (-12)
19. Use a property of subtraction to rewrite each of the following as a sum.
(a) 5 – 4 (b) -2 - (-3) (c) -2 – 2
20. During one week of activity the stock market had the following results at the end of five
consecutive days: down 11 points, up 19 points, down 12 points, up 28 points, and down
4 points. What was the net change at the end of the five day period?
21.
Simplify: 
22.
Simplify: 
23. In a chemical experiment the temperature is -48o C at 3:00 P.M. What is the temperature at
3:21 P.M. if the temperature increases 3o C per minute?
24. Classify each of the following as true or false:
(a) If a number is divisible by 8 and 2, then it is divisible by 16.
(b) If x | (a + b) then x | a or x | b.
(c) 0 | 4
25. Which of the following numbers are divisible by 3? 2448, 7367, 6353, 5175
26. Which of the following numbers are divisible by 8? 1014, 711, 4279, 135
27. Which of the following numbers are divisible by 11? 4942, 9092, 7436, 3749
28. Find all the factors of 33.
29. Write the prime factorization of 300.
30. What is the greatest prime number to consider to test whether or not 531 is prime?
31. Farmer Welch has 725 pear trees. He wants to plant them in rows that have the same number
of trees in each row. Since his property is approximately square, what are his best options?
32. At 12:00 P.M. David and Tanya are sitting in a class. Every 35 seconds David looks up to see
if Tanya is looking at him. Every 49 seconds Tanya looks up to see if David is looking at her.
If they immediately look back at their desks each time, how long will it be before they make
eye contact?
33. Han makes 63˘ profit on every box of candy he sells. On Friday he decides to spend all of his
profits on his friends. He buys each one a large soda at 112˘ each.. If he has no money left
over, what is the least number of friends Han might have?
34. Find the least number divisible by each natural number greater than 3 and less than 15.
35. Use <
or > to write a true sentence: 
36. Find a
number between the two given numbers.
37. Write
two fractions equal to 
.
38.
Subtract: 
39. Kathy is
making horse feed by mixing 
pounds of rolled corn, 
pounds
of rolled barley,
and 
pounds of rolled oats. How
much feed did she make?
40. The
outside diameter of a pipe is 
of an inch. The inside
diameter is 
of an inch.
What is the thickness of pipe wall? (hint:draw a picture … diameter versus radius??)
41. A
business was owned by three cousins. One owned 
and
the second owned 
.
How much did the third cousin own?
42.
Multiply: 
43. Yoshi
found a board to make a shelf. It was 
feet
long. He needed 
of it for the shelf.
How long was the shelf?
44.
Divide:
45. Lee's
recipe requires 
cup of bran flakes. If he
has only a 
cup measure, how many
times will he need to fill it to make 
cup?
46. Joan purchased 30 yards of material to make stuffed animals for a spring carnival. Each
stuffed animal requires 
yards of material. How many
stuffed animals can Joan make
from the material?
47. Write in expanded form: 57.27
48. Simplify
and evaluate. 38 
36 
3
49. Carol has five times as much money as Nina, and Nina has $8 less than Lynn. If n
represents the amount Nina has, represent the total amount that Carol, Nina and Lynn
have together.
50. A teacher instructed her class as follows:
Take any number and subtract 12 from it. Now multiply that difference by 5. Next add 20,
and divide the sum by 5. If you now add 16 to the quotient and tell me the number, I will tell
you the number you started with. Show how it is possible for the teacher to find the starting
number.
51. Last week Mrs. Baker's cats got into Mrs. Murphy's chicken coop with her chickens. During
the commotion, I counted 26 heads and 60 feet. None of the animals was harmed. How many
of Mrs. Baker's cats were in the coop with how many of Mrs. Murphy's chickens?
52. Twenty acres are required to produce 125 bushels of cucumbers. At this rate, how many
acres would be required to produce 195 bushels of cucumbers?
53. A 20-oz bottle of gourmet popcorn oil sells for $1.68. A 60-oz bottle of generic popcorn oil
costs $2.71. Which is the better buy?
54. There is a law stating that "the ratio of width to length for the American flag should be 10 to 19."
Is a flag measuring 40 by 76 feet of the correct ratio?
T101 REVIEW SUPPLEMENT ANSWERS
1. a14 = 42 2. 20, 50, 80, 110, 140, and 20, 40, 80, 160, 320
3. 131, 177, 233 4. 6, 13, 32, 69, 130 5. 36
6. 21 7. 78
8. (a) {41,43,45,46 (b) {41} (c) {40,42,44} (d){40,42,43,44,45,46}
9. (a) {27, 28, 29, 30, 31, 32, 33} (b) {27, 28} (c) {27, 28} (d) {27, 28, 29, 32, 34}
10. MCDXCII
11. 1431 X 224 = 320, 544 12. Distributive property of multiplication
320, 544 
1431 =
224
over addition
13. 16 minutes 14. $804 15. 881 + 287 + 279
16. 33 17. 3 18. -7
19. (a) 5 + (-4) (b) -2 + 3 (c) -2 + (-2)
20. up 20 points 21. -26
22. -40 23. 15o C 24. (a) true (b) false (c) false
25. 2448, 5175 26. none of these numbers 27. 7436
28. 1, 3,
11,
33
29. 2 
2 
3
5
5
30. 23
31. 25 rows of 29 trees 32. 245 seconds 33. Spent $10.08; 9 friends
29 rows of 25 trees
34.
360,360
35.
>
36. Sample answer: 
37. Answers
may vary.
38. 
39. 
pounds
Samples: 
40. 
inch
Hint: ˝ of
41. 
42. 
difference of diameters
43. 
ft
44. 
45. 2 times
46. 33
stuffed animals
47. 5 
101
+ 7 
100 + 2 
10-1
+ 7 
10-2
48. 3 49. 7n + 8 dollars
50. To tell the student's number the teacher merely subtracts 8 from the student's answer
51. 4 cats and 22 chickens 52. 31.2 acres 53. the 60-oz bottle
54. Yes