GACE PRACTICE TEST 2 | COMPLETE STUDY GUIDE, PRACTICE QUESTIONS &
ANSWERS 2026/2027
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 - ANS ✔✔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 - ANS ✔✔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 - ANS ✔✔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? - ANS ✔✔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 - ANS ✔✔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 - ANS ✔✔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 - ANS ✔✔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?
Adding 2+42+4
Joining two blocks and four blocks
Adding two apples and four apples using pictures of the apples
Solving x+4=6 - ANS ✔✔Option (B) is correct. The question requires an understanding of how to
help students develop a basic concept of number operations. Teachers must understand the
skills students need to perform specific mathematical tasks, as well as the proper order for
introducing concepts. In this question, the most concrete task is the one that engages the
students in physical manipulation (joining two blocks and four blocks).
19+17+15+13+7+5+3+119+17+15+13+7+5+3+1
A teacher writes an addition problem on the board and asks students to think of other ways to
write the sum, using a different operation. Which of the following represents the sum of the
numbers shown using multiplication?
4×18
4×19
4×20
4×21 - ANS ✔✔Option C is correct. The question requires knowledge of ways to help students
develop an understanding of number operations. The numbers can be added in pairs, with the
ANSWERS 2026/2027
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 - ANS ✔✔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 - ANS ✔✔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 - ANS ✔✔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? - ANS ✔✔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 - ANS ✔✔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 - ANS ✔✔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 - ANS ✔✔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?
Adding 2+42+4
Joining two blocks and four blocks
Adding two apples and four apples using pictures of the apples
Solving x+4=6 - ANS ✔✔Option (B) is correct. The question requires an understanding of how to
help students develop a basic concept of number operations. Teachers must understand the
skills students need to perform specific mathematical tasks, as well as the proper order for
introducing concepts. In this question, the most concrete task is the one that engages the
students in physical manipulation (joining two blocks and four blocks).
19+17+15+13+7+5+3+119+17+15+13+7+5+3+1
A teacher writes an addition problem on the board and asks students to think of other ways to
write the sum, using a different operation. Which of the following represents the sum of the
numbers shown using multiplication?
4×18
4×19
4×20
4×21 - ANS ✔✔Option C is correct. The question requires knowledge of ways to help students
develop an understanding of number operations. The numbers can be added in pairs, with the
