# Qualifying Exam For Instructors - Part 4 - Mathematics

30 Questions | Total Attempts: 204  Settings  The series of examinations you are about to take tests your stock knowledge on general subjects. These exams contain questions based on the following subjects: Language Proficiency, Math, Science, Reading Comprehension, Abstract Reasoning, and Essay Writing. Cheating is NOT allowed. You should not seek help from anyone or use any form of technology to find the answer. You are not allowed to retake the exam.

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• 1.
Which of the following is a natural number?
• A.

-4

• B.

1/2

• C.

6

• D.

4.5

• 2.
Convert 0.4545454545... to its fraction form.
• A.

9/20

• B.

5/11

• C.

3/7

• D.

4/9

• 3.
Which is NOT the correct notation for 13%?
• A.

13 x 0.01

• B.

13 x (1/10)

• C.

0.13

• D.

13/100

• 4.
During a sale, the price of a jacket decreased from P1,200.00 to P1,020.00. What was the percent of decrease?
• A.

15%

• B.

20%

• C.

18%

• D.

25%

• 5.
Simplify.
• A.

64

• B.

16

• C.

8

• D.

4

• 6.
If h represents the number of hours Priscilla spends reading, then which expression represents twice the number she spends reading, plus 11 more hours?
• A.

(2 + 11) x h

• B.

(h / 2) + 11

• C.

2 x h + 11

• D.

2 + (11 / h)

• 7.
Which of the following numbers has a remainder of 11 when divided by 19?
• A.

518

• B.

452

• C.

408

• D.

562

• 8.
A palindromic number is one which reads the same forwards as backwards. If 32,123 is multiplied by certain single digit numbers, then the answers are also palindromic. What are those numbers?   I.    1 II.    2 III.    4
• A.

I only

• B.

II and III only

• C.

I and II

• D.

I, II, and III

• 9.
A group of people is selected so that four of them have names that start with the letter A, four have names that start with the letter B, and so on throughout the alphabet. If all of them were to stand in alphabetical order, then with what letter would be the name of the 87th person start?
• A.

T

• B.

U

• C.

V

• D.

W

• 10.
If the symbol &[A,B] means taking the square of the sum of each of the squares of A and B, then what is &[3,4]?
• A.

5

• B.

25

• C.

49

• D.

625

• 11.
A line passes through the points (-6,4) and (6,16). Which of the following is an equation for that line?
• A.

-6x + 4y = b

• B.

16y = 4x

• C.

4x - 6y = 10

• D.

X + 10 = y

• 12.
Solve for x and y.
• A.

X = 3; y = -4

• B.

X = 3; y = 4

• C.

X = -3; y = -4

• D.

X = -4; y = -3

• 13.
Simplify.
• A.

13/2

• B.

7

• C.

15/2

• D.

8

• 14.
How many different 4-digit license tags can be printed if the first digit cannot be zero, and no digit may be used more than once?
• A.

9,999

• B.

5,040

• C.

4,536

• D.

3,024

• 15.
• A.

(x - 4) / 9

• B.

(x + 4) / 9

• C.

(x + 4) x 9

• D.

(x - 4) x 9

• 16.
Find all zeros of the function.
• A.

1/2, 1/3, 2

• B.

-1/3, -2, 2

• C.

-1/2, 0, 2

• D.

2/3, -2, 2

• 17.
Find the center of the circle from the given equation.
• A.

(-3,2)

• B.

(-3,-2)

• C.

(-2,3)

• D.

(-2,-3)

• 18.
Solve for x.
• A.

X = 1/3

• B.

X = 3

• C.

X = 1/6

• D.

X = 6

• 19.
Find the fifteenth term of the arithmetic sequence: 1, 5/4, 3/2, 7/4, ...
• A.

17/4

• B.

9/2

• C.

11/2

• D.

21/4

• 20.
Simplify.
• A.

5

• B.

32

• C.

9

• D.

16

• 21.
Which of the following may be the lengths of the sides of a triangle?
• A.

1 - 3 - 5

• B.

4 - 5 - 9

• C.

4 - 5 - 6

• D.

2 - 6 - 10

• 22.
What is the degree measure of an exterior angle of a regular nonagon?
• A.

40 degrees

• B.

90 degrees

• C.

140 degrees

• D.

360 degrees

• 23.
Find the area of a triangle whose two smaller sides are 10 and 17 units long, and whose altitude to the longest side is 8 units long.
• A.

126 square units

• B.

84 square units

• C.

189 square units

• D.

63 square units

• 24.
What happens to the area of a square if each side is increased by a factor of sqrt(2).
• A.

It is doubled.

• B.

It is halved.

• C.

It is multiplied by sqrt(2).

• D.

It is divided by sqrt(2).

• 25.
A rectangle is inscribed in a circle. If the lengths of the sides of the rectangle are 8 cm and 14 cm, then what is the area of the circle?
• A.

65pi square centimeters

• B.

85pi square centimeters

• C.

130pi square centimeters

• D.

170pi square centimeters