GACE II

How many fraction–percent equivalents are listed in the worksheet represented above?

• One

• Two

• Three

• Four

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

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

The circle graph above shows the distribution, in percents, of various colors of gems in a collection. What fraction of the collection is red?

• 2/50 

• 4/50

• 2/25

• 4/25

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 813 . These responses suggest that the students need practice in

rounding down 

• expressing remainders

• applying number sense

• using fractions rather than decimals

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

"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

Which of the following activities requires a student to perform a mathematical computation at the most concrete level?

• Adding 2+4

• Joining two blocks and four blocks

• Adding two apples and four apples using pictures of the apples

• Solving x+4=6

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?

• 4×18

• 4×19

• 4×20

• 4×21

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 830 from 915, and you have the answer! It’s 85 minutes.” For which of the following reasons is the student incorrect?

• The student did not consider how fast the train was traveling.

• The student used an inappropriate number-base system to calculate elapsed time. 

• The student did not consider the distance between the cities.

• The student made a subtraction error in calculating elapsed time.