GACE Practice Test 2 Exam Questions
and Verified Detailed 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 - ✔✔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?
Page 1 of 53
©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025.
,Select all that apply.
A protractor
A straightedge
A geoboard
A compass - ✔✔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
Page 2 of 53
©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025.
,Placing money from a change purse into a piggy bank - ✔✔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? - ✔✔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.
Page 3 of 53
©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025.
, 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 - ✔✔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
Page 4 of 53
©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025.
and Verified Detailed 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 - ✔✔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?
Page 1 of 53
©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025.
,Select all that apply.
A protractor
A straightedge
A geoboard
A compass - ✔✔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
Page 2 of 53
©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025.
,Placing money from a change purse into a piggy bank - ✔✔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? - ✔✔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.
Page 3 of 53
©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025.
, 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 - ✔✔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
Page 4 of 53
©JOSHCLAY 2025/2026. YEAR PUBLISHED 2025.
