Gace Practice Test 2 with Complete
Solutions
Two - ANS-1/8 - 20%
2/5 - 30%
3/8 - 40%
4/5 - 50%
5/8 - 80%
How many fraction-percent equivalents are listed in the worksheet represented above?
A. One
B. Two
C. Three
D. Four
a). A protractor
b). A straightedge
d). A compass - ANS-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?
A. A protractor
B. A straightedge
C. A geoboard
D. A compass
Using a thermometer to illustrate extreme temperatures recorded at the South Pole -
ANS-Which of the following activities will best help kindergarten students understand
the concept of negative numbers?
A. Watching a needle on a dial that shows how fast a wheel is turning
B. Using a thermometer to illustrate extreme temperatures recorded at the South Pole
C. Moving the hands of a clock back an hour at the beginning of daylight saving time
D. Placing money from a change purse into a piggy bank
2/50 - ANS-Green 32%
Yellow 21%
Blue 20%
Violet 23%
The circle graph above shows the distribution, in percents, of various colors of gems in
a collection. What fraction of the collection is red?
A. 2/50
B. 4/50
C. 2/25
,D. 4/25
Applying number sense - ANS-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?
Question:
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
A. rounding down
B. expressing remainders
C. applying number sense
D. using fractions rather than decimals
Add 24 - ANS-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?
A. Add 12
B. Add 24
C. Subtract 12
D. Subtract 24
Mode - ANS-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?
A. Mode
B. Median
C. Mean
D. Range
Joining two blocks and four blocks - ANS-Which of the following activities requires a
student to perform a mathematical computation at the most concrete level?
A. Adding 2+4
B. Joining two blocks and four blocks
C. Adding two apples and four apples using pictures of the apples
D. Solving x+4=6
4 x 20 - ANS-19+17+15+13+7+5+3+1
Question:
, 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?
A. 4×18
B. 4×19
C. 4×20
D. 4×21
The student used an inappropriate number-base system to calculate elapsed time. -
ANS-A fourth-grade class is discussing the problem shown.
Sid is traveling by train from Little City to Big City. The train departs Little City at 8:30
A.M. and arrives in Big City at 9:15 P.M. How long does it take the train to travel from
Little City to Big City?
Question:
During the discussion, one student says, "All you have to do is subtract 8:30 from 9:15,
and you have the answer! It's 85 minutes." For which of the following reasons is the
student incorrect?
A. The student did not consider how fast the train was traveling.
B. The student used an inappropriate number-base system to calculate elapsed time.
C. The student did not consider the distance between the cities.
D. The student made a subtraction error in calculating elapsed time
Mile - ANS-Which of the following is a nonmetric unit of measurement?
A. Square meter
B. Kilogram
C. Centimeter
D. Mile
Making a table - ANS-Answer the question by clicking on the correct response.
Luis, Kristina, Mallory, and Hasan are four friends with pets. One has a horse, one a
cat, one a white mouse, and one a rabbit. Mallory is allergic to cats and does not have
one. Luis has the smallest pet, and Hasan's pet sleeps standing up. Kristina does not
have a rabbit. What is each friend's pet?
A fourth-grade math teacher presents the problem above to the class. Which of the
following problem-solving strategies is most likely to help the students solve the
problem?
A. Making a table
B. Looking for a pattern
C. Working backward
D. Eliminating unnecessary information
Solutions
Two - ANS-1/8 - 20%
2/5 - 30%
3/8 - 40%
4/5 - 50%
5/8 - 80%
How many fraction-percent equivalents are listed in the worksheet represented above?
A. One
B. Two
C. Three
D. Four
a). A protractor
b). A straightedge
d). A compass - ANS-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?
A. A protractor
B. A straightedge
C. A geoboard
D. A compass
Using a thermometer to illustrate extreme temperatures recorded at the South Pole -
ANS-Which of the following activities will best help kindergarten students understand
the concept of negative numbers?
A. Watching a needle on a dial that shows how fast a wheel is turning
B. Using a thermometer to illustrate extreme temperatures recorded at the South Pole
C. Moving the hands of a clock back an hour at the beginning of daylight saving time
D. Placing money from a change purse into a piggy bank
2/50 - ANS-Green 32%
Yellow 21%
Blue 20%
Violet 23%
The circle graph above shows the distribution, in percents, of various colors of gems in
a collection. What fraction of the collection is red?
A. 2/50
B. 4/50
C. 2/25
,D. 4/25
Applying number sense - ANS-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?
Question:
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
A. rounding down
B. expressing remainders
C. applying number sense
D. using fractions rather than decimals
Add 24 - ANS-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?
A. Add 12
B. Add 24
C. Subtract 12
D. Subtract 24
Mode - ANS-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?
A. Mode
B. Median
C. Mean
D. Range
Joining two blocks and four blocks - ANS-Which of the following activities requires a
student to perform a mathematical computation at the most concrete level?
A. Adding 2+4
B. Joining two blocks and four blocks
C. Adding two apples and four apples using pictures of the apples
D. Solving x+4=6
4 x 20 - ANS-19+17+15+13+7+5+3+1
Question:
, 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?
A. 4×18
B. 4×19
C. 4×20
D. 4×21
The student used an inappropriate number-base system to calculate elapsed time. -
ANS-A fourth-grade class is discussing the problem shown.
Sid is traveling by train from Little City to Big City. The train departs Little City at 8:30
A.M. and arrives in Big City at 9:15 P.M. How long does it take the train to travel from
Little City to Big City?
Question:
During the discussion, one student says, "All you have to do is subtract 8:30 from 9:15,
and you have the answer! It's 85 minutes." For which of the following reasons is the
student incorrect?
A. The student did not consider how fast the train was traveling.
B. The student used an inappropriate number-base system to calculate elapsed time.
C. The student did not consider the distance between the cities.
D. The student made a subtraction error in calculating elapsed time
Mile - ANS-Which of the following is a nonmetric unit of measurement?
A. Square meter
B. Kilogram
C. Centimeter
D. Mile
Making a table - ANS-Answer the question by clicking on the correct response.
Luis, Kristina, Mallory, and Hasan are four friends with pets. One has a horse, one a
cat, one a white mouse, and one a rabbit. Mallory is allergic to cats and does not have
one. Luis has the smallest pet, and Hasan's pet sleeps standing up. Kristina does not
have a rabbit. What is each friend's pet?
A fourth-grade math teacher presents the problem above to the class. Which of the
following problem-solving strategies is most likely to help the students solve the
problem?
A. Making a table
B. Looking for a pattern
C. Working backward
D. Eliminating unnecessary information
