American International College
EDC 508 Teaching Mathematic: Early Childhood, Elementary, Moderate Disabilities
SAMPLE COMPETENCY QUIZ WITH ANSWERS
July 7, 2010
QUIZ REQUIREMENTS: This competency quiz is adapted from 4th through 8th
grade MCAS test questions and is considered a prerequisite for success in EDC
508. This SAMPLE quiz is distributed at program orientation for your advance
study and preparation. The SAMPLE quiz shows the identical order of each
question and the same general format and content for each question. The
SAMPLE quiz will be reviewed briefly during class one. The actual quiz will be
taken during the SECOND class. As with the MCAS, calculators are not allowed.
A passing score of at least 85% (24 correct out of 28) must be reached by each
student. If students do not pass the quiz, they are urged to sign up for on-line
tutoring through the Aleks.com , seek private tutoring, or take the AIC Math
MTEL review courses offered at various sites. A second competency quiz will be
given on a subsequent night of class. Failure to pass the quiz with a score of at
least 85% at this time will result in an INCOMPLETE for the course and require
future testing to be arranged until 85% is reached.
1. In a certain shop, notebooks that normally sell $1.79 each are on sale at two
for $3.00. How much can be saved by purchasing 10 of these notebooks at
the sale price?
$2.90 *
2. Divide 4/5 by 2/3
3. What is the value of X if 3x2
1 and 1/5 *
= 27
4. Subtract 5 3/8 from 8 and 1/6
+ or - 3
*
2 19/24 *
5. If K is an even number, then which of the following statements is true:
a.
b.
c.
d.
3K is an odd number
K2 + 1 is an odd number *
(K + 3) is an even number
½ K (2K) is an odd number
6. The arithmetic average of X and Y is 12. If Z = 6, what is the average of X,
Y, and Z?
10
*
7. Sam’s printer prints 5 pages in the same amount of time that Heidi’s printer prints
8 pages. What is the total number of pages that Sam’s printer will print in the time
it takes Heidi’s printer to print 24 pages? 15 pages
8. If four integers (numbers) have an arithmetical average of 24, what is one set
of possible numbers?
21, 22, 26, 27 *
9. On a health exam with 60 test items, a student got 12 wrong. What is the
percentage grade for the test?
80%
*
10. A student’s date of birth is June 15, 1999. He is given an IQ test on
March 30, 2008. What is the student’s age on the date of the test?
8 yrs. 9 months 15 days
*
11. Raul chose a number. He multiplied it by 4 and added 66 to the product and
got an answer of 98. What was the original number he chose?
8*
12. What is the decimal equivalent of 4/5?
.80
*
13. If a student takes 2 minutes and 10 seconds to read a passage of 260
words, what is his/her rate of reading in words per minute (wpm)?
Formula:
wpm = (total words read / seconds) x 60
120 wpm *
14. If it takes Jim 15 minutes to walk one mile, what is his speed in mile per
hour?
4 mph *
15.
–12 + (44) =
32 *
16. What is the area of the figure below?
47 Sq. inches *
3"
"
5"
""
8"
9"
17. What is the measure of angle X ?
X
50 degrees *
140o
18. Find the area of the circle below.
A=
8 inches
r2
= 3.14
50.24 sq. inches
19. Which fraction has the greatest value?
a.
b.
c.
d.
e.
5/7
9/10 *
4/5
60/70
2/3
20. Which of the formulas below expresses the relationship between G and H?
G
2
19
10
5
49
H
6
40
22
12
100
a.
b.
c.
d.
e.
H = G+5
H = G+2 (2)
H = 3G + 5
H = 2G + 2 *
H = 4G – 5
21. In 45 days, it has rained 20 of those days. What is the ratio of rainy days to
dry days?
a. 5:4
b. 9:7
c. 5:9
d. 4:5 *
e. 6:5
22. How much is 1/4 of two million dollars?
$ 500,000
23. If: a + b = 14
a + b + b = 22
a + c + c = 16
What are the values of a, b and c?
(a = 6
24. What is the value of 83
*
b = 8 and c = 5 )*
512 *
25. What is the lowest common multiple (LCM) of 6 and 10
30 *
26. A box of light bulbs contains the following:
• 11 red light bulbs
• 12 blue light bulbs
• 8 green light bulbs
• 9 orange light bulbs
What percent of the light bulbs are green?
20% *
27. So far this semester, Heidi has earned quiz scores of 72, 91, and 84.
What is the lowest score she can get on the remaining quiz to earn a total
score of 85?
93 *
28. Look at the pattern. What is the next number in the sequence?
50, 44, 39, 35, ____
32 *