FTCE General Knowledge Test- Math with answers

FTCE GENERAL
KNOWLEDGE TEST

M AT H E M AT I C S

GENERAL INFORMATION

• 100 minutes Percentage of Subtest
• 45 questions 17% = (7-8 questions)
21% = (9-10 questions)
Subtest 29% = (13 questions)
Knowledge of number sense, concepts and operations 33% = (14-15 questions)
Knowledge of geometry and measurement
Knowledge of algebraic thinking and the coordinate plane
Knowledge of probability, statistics, and data interpretation

• 69% to pass = 31 questions

TEST-TAKING TIPS

• Guess Away and “Stay in your Lane”
• Eliminate as many choices as possible
• Review all answer choices before you answer
• If possible, and if time allows, plug your answer in to

confirm your answer
• Watch the clock
• Pay attention to limiters (not, least, except, etc.)

PRACTICE TEST

• 33 minutes
• 15 questions
• 69% = 11 questions correct

Question Answer Subtest
Number
B Knowledge of number sense, concepts, and operations
1 A Knowledge of number sense, concepts, and operations
2 C Knowledge of geometry and measurement
3 D Knowledge of geometry and measurement
4 C Knowledge of geometry and measurement
5 C Knowledge of algebraic thinking and the coordinate plane
6 A Knowledge of algebraic thinking and the coordinate plane
7 D Knowledge of algebraic thinking and the coordinate plane
8 C Knowledge of algebraic thinking and the coordinate plane
9 A Knowledge of probability, statistics, and data interpretation
10 B Knowledge of probability, statistics, and data interpretation
11 C Knowledge of probability, statistics, and data interpretation
12 C Knowledge of probability, statistics, and data interpretation
13 B Knowledge of probability, statistics, and data interpretation
14 C Knowledge of probability, statistics, and data interpretation
15
Passing = 69% or 11 questions correct

NUMBER 1

NUMBER 2

You purchase a house for $124,000 and the next year sell it for $150,000.What
would be the percent of increase or decrease?

A. 21% increase B. 21% decrease C. 17% increase D. 17% decrease

NUMBER 3

A swimming pool is 15 by 30 feet and a consistent 5 feet deep.You are
painting the walls and floor of the pool. If a gallon of paint covers 250
square feet, how many gallon cans would you need to buy?

A. 2 gallons
B. 3 gallons
C. 4 gallons
D. 5 gallons

NUMBER 4

Suppose a person 2m tall casts a shadow 1m long when a tree has an
8m shadow. How high is the tree?

A. 8m
B. 10m
C. 14m
D. 16m

NUMBER 5

You are putting the contents of two boxes into one larger box to mail to your
son at college. One box is 2 cm x 4 cm x 10 cm, and the other is 6 cm x 4 cm x
12 cm.The bigger box is 14 cm x 10 cm x 4 cm. How will the contents of the
two smaller boxes fit into the larger box?

A. No, you need 10 more cubic cm of space.
B. Yes, you will have 100 cubic cm left over in the box.
C. Yes, you will have 192 cubic cm left over in the box.
D. No, you need 16 more cubic cm of space.

NUMBER 6

What is the reflection of point A across
the y-axis?

A.(3, 2)
B.(-2, -3)
C.(-2, 3)
D.(-3, -2)

NUMBER 7

Which ordered pair is not a solution to the inequality: < 1 − 5?
2

A. (4, 8)
B. (32, 10)
C. (10, -1)
D. (6, -5)

NUMBER 8

What is the next number in the pattern: 1, 8, 27, 64, …

A. 101
B. 71
C. 83
D. 125

NUMBER 9

Some dogs and people are in a kennel. If we counted 30 heads and 104
legs in the kennel, which systems of equations could we use to determine
the number of dogs (d) and people (p) are present?

A. d + p = 2p +4d
B. 2p + 4d = 30 +104 and d + p = 30
C. d + p = 30 and 2p + 4d = 104
D. d + p = 104 and 2p + 4d = 30

NUMBER 10

Which measure of central tendency would reflect most positively in your
interest in applying for a job at a company with the following salaries?

$150,000 $75,000 $50,000 $25,000 $25,000 $25,000

A. Mean and mode
B. Mean and median
C. Median only
D. Mean only

NUMBER 11

You have 6 red marbles, 8 blue marbles, and 3 green marbles in a bag.What is the
probability that you will draw a green marble?

A. 1
3

B. 3
17

C. 1
17

D. 3

NUMBER 12

Heather bought 5 new books. In how many different orders can
Heather read her 5 books?

A. 25
B. 60
C. 120
D. 100

NUMBER 13

Using the following data: 12, 13, 9, 3, 5, 3, 4; which of the following is
NOT true?

A. Mode = 3
B. Median = 5
C. Mean = 11
D. Range = 10

NUMBER 14

Most accidents occur between:

A. 6 and 10 A.M.
B. 6 and 10 P.M.
C. 2 and 6 P.M.
D. 2 and 6 A.M.

NUMBER 15

Terence wants to find the average height of a student in his high
school.Which of the following would be the best choice for a
sample?

A. The 17 students in his math class
B. All of the 10th grade girls
C. 15 students from each of the grades 9 through 12
D. The 30 players on the varsity and junior varsity basketball teams

BONUS 

Simplify: 3(2 + 6)2 ÷ 6