Download MATH – SAT-C4MS-L1.0 Properties of Numbers

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1. (SATC4MSL1.0:Q1) True or False: All natural numbers are non-negative.
A) True
B) False
2. (SATC4MSL1.0:Q2) Which of the following are positive integers?
I. 2
II. 1/3
III. 0
IV. -3
V. π
A)
B)
C)
D)
E)
I, II, III, and IV
I, II, and III
I and III
I only
II only
3. (SATC4MSL1.0:Q3) True or False: All non-negative integers are natural numbers.
A) True
B) False
4. (SATC4MSL1.0:Q4) Which of the following are non-positive rational numbers?
I. -1
II. 0
III. -√2
IV. -√4
V. 1/3
A)
B)
C)
D)
E)
I, II, III, and IV
I, II, and IV
I, II and V
I, III, and IV
I, and V
5. (SATC4MSL1.0:Q5) What is 1/500 written as a decimal?
A)
B)
C)
D)
0.01
0.02
0.05
0.002
E) 0.005
6. (SATC4MSL1.0:Q6) Which of the following are multiples of 8?
I. 24
II. 36
III. 4
IV. 1,624
V. 3,001
A)
B)
C)
D)
E)
I, II, and III
I, II, and IV
I and IV
II and IV
I and V
7. (SATC4MSL1.0:Q7) The least common multiple of 10 and 18 is…
A)
B)
C)
D)
E)
2.
80.
90.
180.
360.
8. (SATC4MSL1.0:Q8) Which of the following is not a factor of 20,790?
A)
B)
C)
D)
E)
2
3
6
11
20
9. (SATC4MSL1.0:Q9) The greatest common factor of 874 and 1,995 is…
A)
B)
C)
D)
E)
3.
7.
15.
19.
23.
10. (SATC4MSL1.0:Q10) The correct prime factorization of 22,770 is…
A)
B)
C)
D)
E)
6 • 5 • 11 • 23.
2 • 3 • 5 • 11 • 23.
2 • 3 • 3 • 5 • 11 • 23.
2 • 3 • 3 • 3 • 5 • 7 • 11.
3 • 3 • 5 • 5 • 5 • 7 • 7.
11. (SATC4MSL1.0:Q11) Of the following pairs of numbers, which pair is mutually prime?
A)
B)
C)
D)
E)
43,010 and 150,423
3,705 and 7,116
99,009 and 144,177,345
68 and 13,247,352,132
22 and 319,209,649
12. (SATC4MSL1.1:Q1) What is the name of this set?
A)
B)
C)
D)
E)
Integers
Positive Integers
Nonnegative Integers
Nonpositive Integers
Negative Integers
13. (SATC4MSL1.1:Q2) What is the name of this set?
A)
B)
C)
D)
E)
0, -1, -2, -3, -4, ...
Integers
Positive Integers
Nonnegative Integers
Nonpositive Integers
Negative Integers
14. (SATC4MSL1.1:Q3) What is the name of this set?
A)
B)
C)
D)
E)
1, 2, 3, 4, ...
… -2, -1, 0, 1, 2 ...
Integers
Positive Integers
Nonnegative Integers
Nonpositive Integers
Negative Integers
15. (SATC4MSL1.2:Q1) What is the answer to the following expression? 4+10+6-9+1-10-11
A)
B)
C)
D)
E)
-9
9
0
5
None of the above
16. (SATC4MSL1.2:Q2) Find the sum. 5249 + 1129
A)
B)
C)
D)
16488
16508
16498
None of the above
17. (SATC4MSL1.2:Q3) Find the difference. 832 - 1097
A)
B)
C)
D)
E)
-255
-265
-200
-165
None of the above
18. (SATC4MSL1.3:Q1) What is the answer to the following expression?
A)
B)
C)
D)
E)
32.8 - 13.58
18.22
19.3
18.75
19.21
None of the above
19. (SATC4MSL1.3:Q2)
Which number is greater?
I) 0.0090909
II) 0.0090999
A) I
B) II
C) Both are equal
20. (SATC4MSL1.3:Q3)
…
A)
B)
C)
D)
E)
What is the next number in the following sequence?
7.5
8
7
9.5
None of the above
21. (SATC4MSL1.4:Q1) True or False.
1.5 is rational, because it can be written as the ratio 3/2.
A) True
B) False
22. (SATC4MSL1.4:Q2) True or False.
Ö7 is rational, because it can be written as the ratio 7/1.
A) True
B) False
23. (SATC4MSL1.4:Q3) True or False.
0.317 is rational, because it can be written as the ratio 317/1000.
A) True
B) False
24. (SATC4MSL1.5:Q1) True or False.
0.5, 2, 3.5, 6
Π is irrational, because you cannot write down a simple fraction that equals Pi.
A) True
B) False
25. (SATC4MSL1.5:Q2) True or False.
Ö99 irrational, because you cannot write the square root of 99 using a ratio of two numbers.
A) True
B) False
26. (SATC4MSL1.5:Q3) True or False.
Ö4 is irrational, because it can be written as 2.
A) True
B) False
27. (SATC4MSL1.6:Q1) True or False.
Whole numbers are real numbers.
A) True
B) False
28. (SATC4MSL1.6:Q2) True or False.
Rational numbers are real numbers.
A) True
B) False
29. (SATC4MSL1.6:Q3) True or False.
Imaginary numbers are real numbers.
A) True
B) False
30. (SATC4MSL1.6:Q4) True or False.
Irrational numbers are real numbers.
A) True
B) False
31. (SATC4MSL1.6:Q5) True or False.
Infinity is a real number.
A) True
B) False
32. (SATC4MSL1.7:Q1) If you are doing addition, what is the opposite of 3?
A)
B)
C)
D)
9
-3
-6
-9
33. (SATC4MSL1.7:Q2) Which of the following numbers is the smallest?
A)
B)
C)
D)
7
-8
-4
0
34. (SATC4MSL1.7:Q3) Which of the following lists of numbers are in order from greatest to
least?
A)
B)
C)
D)
-8, -9, -10, -11
9, 10, 11, 12
-9, -8, -7, -6
6, 8, 10, 12
35. (SATC4MSL1.7:Q4) A nationwide temperature reading in the winter is being observed by a
student with the temperatures recorded (shown below). Based on this data, in which of the following
cities is it coldest?
San Francisco: 49
Miami: 71
Seattle: -13
Boston: -27
A)
B)
C)
D)
San Francisco
Miami
Seattle
Boston
36. (SATC4MSL1.7:Q5) In the equation, which of the following components is negative?
12+9i
A)
B)
C)
D)
12
9
i
None of the above
37. (SATC4MSL1.8:Q1)Two numbers have a greatest common factor of 9, and a least common
multiple of 54. Which of the following is the pair of numbers?
A)
B)
C)
D)
9/18
9/27
18/27
27/54
38. (SATC4MSL1.8:Q2) Find the least common multiple of 9 and 4.
A)
B)
C)
D)
9
4
36
32
39. (SATC4MSL1.8:Q3) What is the greatest common factor of 18 and 64?
A)
B)
C)
D)
6
3
9
2
40. (SATC4MSL1.8:Q4) What two numbers have a greatest common factor of 8 and least
common multiple of 48?
A)
B)
C)
D)
E)
8 and 16
32 and 8
12 and 16
16 and 24
8 and 24
41. (SATC4MSL1.8:Q5) Find the GCF of 12 and 18.
A)
B)
C)
D)
2
3
4
6
42. (SATC4MSL1.9:Q1) Which of the following is a prime number?
A)
B)
C)
D)
4
8
7
All of the above
43. (SATC4MSL1.9:Q2) Which of the following when added together creates a prime number?
A) 1,3,4
B) 2,5,6
C) 2,4,8
D) 3,5,6
44. (SATC4MSL1.9:Q3) Numbers ending in which digit could be prime?
A)
B)
C)
D)
3
4
6
8
45. (SATC4MSL1.9:Q4) In which of these movies did aliens contact the earth with prime
numbers?
A)
B)
C)
D)
Contact
First Contact
Close Encounters of the Third Kind
The Day the Earth Stood Still
46. (SATC4MSL1.9:Q5) What is the 11th prime number?
A)
B)
C)
D)
11
89
53
31
[Answer Key]
1. A
2. D
3. B
4. B
5. D
6. C
7. C
8. E
9. D
10. C
11. A
12. B
13. D
14. A
15. A
16. B
17. B
18. E
19. B
20. A
21. A
22. B
23. A
24. A
25. A
26. B
27. A
28. A
29. B
30. A
31. B
32. B
33. B
34. A
35. D
36. D
37. C
38. C
39. D
40. D
41. D
42. C
43. B
44. A
45. A
46. D