Gace Elementary Education Test Ii (002)
Questions And Answers With Verified
Solutions Well Elaborated
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?
A. One
B. Two
C. Three
D. Four - ANSWER✔✔ B. Two
-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. A protractor
B. A straightedge
C. A geoboard
D. A compass - ANSWER✔✔ A. A protractor
B. A straightedge
,D. A compass
-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?
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 - ANSWER✔✔ B. Using a
thermometer to illustrate extreme temperatures recorded at the South Pole
-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%
Violet 23%
Yellow 21%
Blue 20%
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?
A. 2/50
B. 4/50
C. 2/25
D. 4/50 - ANSWER✔✔ A. 2/50
-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
A. rounding down
B. expressing remainders
C. applying number sense
D. using fractions rather than decimals - ANSWER✔✔ C. applying number sense
-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?
A. Add 12
B. Add 24
C. Subtract 12
D. Subtract 24 - ANSWER✔✔ B. Add 24
-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?
A. Mode
B. Median
C. Mean
D. Range - ANSWER✔✔ A. Mode
-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.
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