Download Blizzard Bag 2 Pre-Calculus and Algebra 2

Mrs. Carson - Pre-Calculus and Algebra 2 - Blizzard Bag Assignment 2
ACT Practice Factors/Divisors/Average/Integers
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1. The greatest common divisor of 84, 90 and 66 (that is the largest exact divisor of all three numbers) is:
a. 6
b. 12
c. 18
d. 36
e. 90
2. What is the greatest prime factor of 520?
a. 5
b. 7
c. 11
d. 13
3. What is the prime factorization of 75?
.
. 2
a. 3 5
b. 3 5
d. 3 5
.
c. 3 25
2.
e. 17
2.
2
e. 3 5
4. Two whole numbers have a greatest common factor of 6 and a least common multiple of 36. Which of the following pairs of
whole numbers will satisfy the given conditions?
a. 4 and 9
b. 9 and 12
c. 12 and 15
d. 12 and 18
e. 18 and 24
5. What is the smallest number greater than 1 that, when divided by 2,3,4,5 or 6, leaves a remainder of 1 in each case?
a. 7
b. 31
c. 61
d. 121
e. 721
6. What is the smallest positive whole number that is divisible with zero remainder by both 15 and 12?
a. 3
b. 20
c. 30
d. 60
e. 180
7. A positive number plus its square is equal to 56. What is the number?
a. 5
b. 6
c. 7
d. 8
e. 9
8. Michaela scored 70, 78, 91, 93 and 88 on her 5 math tests. What is her average for the 5 tests?
a. 79
b. 83
c. 84
d. 88
e. 91
9. Contributions to a charity are made by each of 6 companies as indicated in the table below.
Company
A
B
C
D
E
Contribution 0
300 300
180
270
in dollars
What is the average of the contributions made by the 5 companies?
a. $187.50
b. $210.00
c. $250.00
d. $262.50
e. $350.00
10. The average of a set of five integers is 16. When a sixth number is included in the set, the average of the set increases to
18. What is the sixth number?
a. 18
b. 20
c. 21
d. 24
e. 28
11. Jana’s average test score after 5 tests in chemistry was exactly 86 points, and she scored 78, 93, 84 and 88 points on the first 4 tests.
th
How many points did she score on the 5 test?
a. 69
b. 85
c. 86
d. 87
e. 90
12. What is the average of 3, 3, and 4?
a. 3
b. 3 1/3
c. 3 ½
13. A beaker of liquid cools from 19° to -6°. By how many degrees has it cooled?
d. 3 2/3 e. 4
a. 6°
b. 13°
c. 19°
d. 25°
e.26°
14. A thermometer indicates a temperature of -10°F. After 4 hours, the temperature has dropped 15°F. What is the new temperature, in
degrees Fahrenheit?
a. 25° b.5°
c. -5°
d.-15° e. -25°
15. Every day at 8:00 A.M. during a school week in January, Jim and Maya measured the outdoor temperature and recorded it in the table
shown below. For that school week, what was the average 8:00 A.M. temperature, in degrees Celsius?
Day
M
Tu
W
Th
F
Temperature °C
3°
-5°
-3°
5°
5°
a. 0°
b. 1°
c. 3°
d. 4°
e. 5°