GACE Practice Test 2 UPDATED Exam
Questions and CORRECT Answers
1/8 2/5 3/8 4/5 5/8
20% 30% 40% 50% 80%
How many fraction-percent equivalents are listed in the worksheet represented above?
One
Two
Three
Four - CORRECT ANSWER - Option (B) is correct. The question requires an
understanding of ways to help students develop a knowledge of fractions as numbers. 1/8 is
equivalent to 12.5%; 2/5 is equivalent to 40%; 3/8 is equivalent to 37.5%; 4/5 is equivalent to
80%; and 5/8 is equivalent to 62.5%.
Students in a fourth-grade class are learning how to copy line segments and angles from their
textbook onto a piece of paper. Which of the following tools is appropriate for the activity?
Select all that apply.
A protractor
A straightedge
A geoboard
A compass - CORRECT ANSWER - The correct answers are (A), (B), and (D). The
question requires an understanding of how to draw and identify lines and angles. A geoboard is
useful for illustrating concepts such as area and perimeter but is not useful for measuring angles.
A compass, a protractor, and a straightedge will be useful for the activity.
Which of the following activities will best help kindergarten students understand the concept of
negative numbers?
,Watching a needle on a dial that shows how fast a wheel is turning
Using a thermometer to illustrate extreme temperatures recorded at the South Pole
Moving the hands of a clock back an hour at the beginning of daylight saving time
Placing money from a change purse into a piggy bank - CORRECT ANSWER - Option
(B) is correct. The question requires an understanding of how to help students make sense of
numbers. Kindergarten students need a concrete model when first learning an abstract concept.
From the choices provided, a thermometer showing temperatures above and below zero will best
provide them with an appropriate model to learn about negative numbers.
Green 32%
Yellow 21%
Blue 20%
Violet 23%
Red ?
The circle graph above shows the distribution, in percents, of various colors of gems in a
collection. What fraction of the collection is red? - CORRECT ANSWER - Option (A) is
correct. The question requires an understanding of how to solve problems involving fractions. A
circle graph of percents represents 100% of a group. Based on the information provided, the total
percent of red gems is 4%, which is equivalent to 2/50.
The Evergreen Shoe Factory received an order for 100 pairs of shoes. The factory ships shoes in
cartons that each holds up to 12 pairs. How many cartons will the factory need to ship this order?
Most of the fourth graders who worked on the problem above gave answers such as 8 R4, 8.333,
and 8 1/3 . These responses suggest that the students need practice in
rounding down
expressing remainders
applying number sense
using fractions rather than decimals - CORRECT ANSWER - Option (C) is correct. The
question requires an understanding of equations and number operations. The responses indicate
, that the students do not know how to express a reasonable answer. Since the shoes are shipped in
cartons, the number of cartons should be expressed as a whole number and not in decimals,
fractions, or with a remainder.
Second-grade students are using a calculator to total the number of books in their classroom
library. At one point, they mistakenly subtract 12 instead of adding 12. The calculator display
shows a total of 57. What one operation can they do to correct the mistake?
Add 12
Add 24
Subtract 12
Subtract 24 - CORRECT ANSWER - Option (B) is correct. The question requires
knowledge of ways to help students develop an understanding of number operations. The
students must add the 12 books they inadvertently subtracted and then add the 12 they had
originally intended to add. This can be done all at once by adding 24 to the result displayed on
the calculator.
A retailer wants to determine the size most often purchased of a certain type of children's shoe to
ensure that enough of that item is available to meet consumer demand.Sizes sold last month: 2, 2,
2, 3, 5, 5, 7, 8.
A fifth-grade teacher poses the question above to the class during a lesson. The lesson most
likely addresses which of the following concepts?
Mode
Median
Mean
Range - CORRECT ANSWER - Option (A) is correct. The question requires an
understanding of how to represent and interpret data. The mode is the number that occurs most
often in a given set of numbers.
Which of the following activities requires a student to perform a mathematical computation at
the most concrete level?
Questions and CORRECT Answers
1/8 2/5 3/8 4/5 5/8
20% 30% 40% 50% 80%
How many fraction-percent equivalents are listed in the worksheet represented above?
One
Two
Three
Four - CORRECT ANSWER - Option (B) is correct. The question requires an
understanding of ways to help students develop a knowledge of fractions as numbers. 1/8 is
equivalent to 12.5%; 2/5 is equivalent to 40%; 3/8 is equivalent to 37.5%; 4/5 is equivalent to
80%; and 5/8 is equivalent to 62.5%.
Students in a fourth-grade class are learning how to copy line segments and angles from their
textbook onto a piece of paper. Which of the following tools is appropriate for the activity?
Select all that apply.
A protractor
A straightedge
A geoboard
A compass - CORRECT ANSWER - The correct answers are (A), (B), and (D). The
question requires an understanding of how to draw and identify lines and angles. A geoboard is
useful for illustrating concepts such as area and perimeter but is not useful for measuring angles.
A compass, a protractor, and a straightedge will be useful for the activity.
Which of the following activities will best help kindergarten students understand the concept of
negative numbers?
,Watching a needle on a dial that shows how fast a wheel is turning
Using a thermometer to illustrate extreme temperatures recorded at the South Pole
Moving the hands of a clock back an hour at the beginning of daylight saving time
Placing money from a change purse into a piggy bank - CORRECT ANSWER - Option
(B) is correct. The question requires an understanding of how to help students make sense of
numbers. Kindergarten students need a concrete model when first learning an abstract concept.
From the choices provided, a thermometer showing temperatures above and below zero will best
provide them with an appropriate model to learn about negative numbers.
Green 32%
Yellow 21%
Blue 20%
Violet 23%
Red ?
The circle graph above shows the distribution, in percents, of various colors of gems in a
collection. What fraction of the collection is red? - CORRECT ANSWER - Option (A) is
correct. The question requires an understanding of how to solve problems involving fractions. A
circle graph of percents represents 100% of a group. Based on the information provided, the total
percent of red gems is 4%, which is equivalent to 2/50.
The Evergreen Shoe Factory received an order for 100 pairs of shoes. The factory ships shoes in
cartons that each holds up to 12 pairs. How many cartons will the factory need to ship this order?
Most of the fourth graders who worked on the problem above gave answers such as 8 R4, 8.333,
and 8 1/3 . These responses suggest that the students need practice in
rounding down
expressing remainders
applying number sense
using fractions rather than decimals - CORRECT ANSWER - Option (C) is correct. The
question requires an understanding of equations and number operations. The responses indicate
, that the students do not know how to express a reasonable answer. Since the shoes are shipped in
cartons, the number of cartons should be expressed as a whole number and not in decimals,
fractions, or with a remainder.
Second-grade students are using a calculator to total the number of books in their classroom
library. At one point, they mistakenly subtract 12 instead of adding 12. The calculator display
shows a total of 57. What one operation can they do to correct the mistake?
Add 12
Add 24
Subtract 12
Subtract 24 - CORRECT ANSWER - Option (B) is correct. The question requires
knowledge of ways to help students develop an understanding of number operations. The
students must add the 12 books they inadvertently subtracted and then add the 12 they had
originally intended to add. This can be done all at once by adding 24 to the result displayed on
the calculator.
A retailer wants to determine the size most often purchased of a certain type of children's shoe to
ensure that enough of that item is available to meet consumer demand.Sizes sold last month: 2, 2,
2, 3, 5, 5, 7, 8.
A fifth-grade teacher poses the question above to the class during a lesson. The lesson most
likely addresses which of the following concepts?
Mode
Median
Mean
Range - CORRECT ANSWER - Option (A) is correct. The question requires an
understanding of how to represent and interpret data. The mode is the number that occurs most
often in a given set of numbers.
Which of the following activities requires a student to perform a mathematical computation at
the most concrete level?
