FTCE: Subject Area K-6: Math problems

A sweater sells for $28. If it is on sale for 35% off, how much will be taken off the original price?

$9.80

An individual working for a certain company earned an hourly rate of $18.50 for the first 40 hours of work per week plus 1.5 times the hourly rate for each hour more than 40 hours. How much money will the individual earn for working 48 hours in a week?

$962

Which point is closest to the point located at (3.4)

(3,7)

A giant coordinate grid is painted on the playgroup at an elementary school. A student starts a point (-9,8). She walks in a straight horizontal line and then stops. Which point could she be at now?

(9,8)

Which of the following illustrates the associative property of addition?

(a + b) + c= a + (b +c)

What is the value of X that makes the equation true? (X+7)/6+(2X-8)/2= -4

-1

Which equation illustrates the additive inverse of property?

-10a + 10a = 0

Simplify the following: 96 / 4^2 + (4 x 2)- 15 - 3

-4

The temperature in northern Minnesota at 6.00 p.m. was 5 degrees below zero. By 7:00 p.m., the temperature had dropped another 3 degrees. What was the temperature at 7:00 p.m.?

-8 degrees

Section of this cake has been decorated with chocolate vanilla icing. What decimal best describes the area covered by chocolate icing?

.25

Which of the following numbers is the smallest?

0.09783 x 13

A jar contains five more quarters than dimes. If it contained a total of $2.30, which of the following equations can be used to determine the number of quarters in the jar?

0.10x + 0.25(x + 5)= 2.30

The entire figure represents one unit. The shaded portion of the figure illustrates which of the following? [This is a 10 x 10 grid with 3 vertical by 4 horizontal squares shaded]

0.12

In the latest census of a state, it was found that 62.4% of the population is Caucasian and 87.3% of the population was right handed. To estimate the proportion of Caucasian right handed people, which of the following will be the most appropriate mental computation?

0.6 x 0.9

The outside edge of the deck in which a 16' x 40' rectangular pool is centered measures 32' x 56'. To purchase the right amount of sealant for the dark area, Ms. Santia wants to determine the are of the decking. What is the are of the deck?

1,152 sq st.

Together, four students wrote a 60-page book. Sean wrote 1/4 of the book. Sara wrote 1/3 of the book, and Jermaine wrote 1/6 of the book. What fraction represents the portion of the book that Maria wrote?

1/4

Simplify the following: 90 - 60 - 30 + 10

10

Estimate the normal temperature of the human body

101 degrees Celsius

Find the sum of the angle measures of the interior angle of the octagon below

1080

Which of the following expressions is the correct way to use exponents to write one hundred thousand?

10^5

The total distance covered by 2 bikers during the first 21 minutes of a race are shown in the following graph. How long after the start of the race did one biker pass the other?

11 min

The perimeter of an isosceles triangle is 32 units. The length of the base is 8 units. What is the length of one of the equal sides?

12 inches

Which of the following is an appropriate translation for 12(x - 3)

12 times the quantity, x - 3

A family drove their car on a vacation last summer. In the first 8 hours, they traveled 500 miles. Due to the traffic and construction, they were only able to drive 300 miles in the next 6 hours. How much greater was their average speed in the first part of the trip than the second part of the trip?

12.5 miles per hour

Find the least common multiple of 8, 15, & 60

120

A pair of baseball team competed 2 innings of a game in 28 minutes. If the game continues at the same pace, how many minutes will it take to complete a 9 inning game?

126 minutes

A student working as a sales clerk at a local store earns $12 per hour and 3 percent commission of all sales made. If the student works for h hours and makes s dollars of sales, which of the following expressions represents the total amount of money the student earns?

12h + 0.03s

Two students start at the same point and run in opposite directions. The first student runs 10 feet per second to the left for 8 seconds. The second student runs 8 feet per second to the right for 7 seconds. How many feet apart are the two students after they both stop?

136 feet

If the patter continues, which of the following patterns would represent how many there are in the 8th step? Step 1: 1 Step 2: 3 Step 3: 5 Step 4: 7 Step 8: ?

15

A 3/16 section of a 40 acre garden is planted with green beans. Twice as much of the garden is planted with carrots. How many acres of the garden are planted with carrots?

15 acres

Estimate the length of a U.S. Dollar bill

15 cm

The altitude to the base of an isosceles triangle is 6. If each of the equal sides measures 10, find the length of the base.

16

Simplify the given expression 8X-4(2X-5)-2

18

What is the total measure of the interior angles of the geometric shape?

180

What is the value of 1 3/4 / 2/3?

2 5/8

What is the prime factorization of 30?

2 x 3 x 5

Which of the following expressions has the greatest value?

2.0/0.6

Simplify the expression (-9)(-3)-[4-(3-6)]

20

Estimate the length of a new pencil

20 cm

A 4th grade teacher is preparing a diagnostic test on multiplication for use in mathematics class. Which set of multiplication examples is presenting in order of increasing difficulty from left to right?

22 x 4;13 x 6;35 x 5;246 x 3

A pitcher of water starts with 3896 milliliters of water. During lunch, 1.50 liters of water is poured from the pitcher. How many mililiters of water are still in the pitcher?

2396 mL

Estimate the area of a teachers table cloth

24 ft^2

Simplify 4 + 3(5 - 2)+ 3 x 2^2

25

A group of volunteers are clearing brush away from an overgrown park. The park covers 3 1/4 acres. If the group clears 1/2 acre every 4 days, how many days will it take them to clear the entire park?

26.0

During a certain time perios, 2,000,000 oz of gold was produced in the United States. Use the following graph to determine the amount of gold produced in Arizona and Colorado. [Arizona 8%, Colorado 5%]

260,000

Gold mining in the US Dakota 29% Nevada 32% Utah 18% Colorado 5% Arizona 8% Other 8% During a time period 2,000,000 ounces of gold are produced in the U.S. Use the above graph to determine the amount of gold produced in Arizona and Colorado

260,000 oz

A pharmacist has 14 gm of aspirin he needs to add 50 mg of each capsule of a cold medicine. How many capsules can he make?

280

Which equation illustrates the property of the identity element of addition?

3 + 0= 3

A student ran an average of 6 miles per hour for 30 minutes. How many miles did he run?

3 Miles

Which of the following expressions gives the solution to the statement below? A recipe for making 2 dozen cookies requires 3/4 cup of sugar. To make 6 dozen cookies, how much sugar is needed?

3 x 3/4

Calculator using scientific notation will display 3,200,000 as which of the following?

3.2 x 10^6

Two yellow and three red marbles are placed in a box. One marble is drawn and a second is drawn without replacing the first. What is the probability that both will be red? Yellow Red 2/5 3/5

3/10

The smallest state in the United States is Rhode Island, which measurement is closest to the area of Rhode Island?

3000 square kilometers

Which of the following is the next term in the sequence? 1,3,7,15,____

31

Find the greatest common factor of 34, 102, & 170

34

Which of the following strategies for computing 38 + 27 illustrates compensation?

38+2=40 -> 40+27=67 -> 67-2=65

Which of the following sets of numbers is ordered from least to greatest?

3^-2, 0.3, 33%, 1/3

To complete a quit design, Dehlia needs two sets of right triangles. The first set has sides with lengths of 3 inches, 4 inches, and 5 inches. If the length of each side of the larger pieces is double the length of the shorter pieces, how much greater will the area of the larger pieces be than the area of the smaller pieces?

4 times

Ahmet is making a stem and leaf plot of the high temperatures for the past week. He recorded the temperatures as follows 4 0 5 25668 6 1144479 7 2 Which temperature would be considered an outlier for the data given?

40

A group of students are working on a project. They complete 30% of the project in 12 hours. If they continue to work at the same speed, how many hours will it take the group to finish the project?

40 Hours

Students were asked to solve the following problem using the distributive property 42 x 8. Which of the following does not involve a correct application of the distributive property?

40 x 16 - 2 x 2

A person who weighs 168 pounds on Earth would weigh 28 on the moon. How many pounds would a 30-pound on Earth weigh on the Moon?

5

A student starts walking on a large grid at the point (5,-1) and moves in a vertical direction exactly 5 unite up. At what point will the student be 5 unites above the starting point?

5,4

A calculator using scientific notation would display 0.000507 as which

5.07 x 10^-4

A student types 3750 words report in 1 hour & 15 min. Find his average words per minute?

50 wpm

At an all school event, the teachers want to demonstrate how long a kilometer is by having children make a human chain. If the arm span of a average child is about 100 cm, approximately how many children are needed to stretch the length of a playing field that is about 0.5 kilometers long?

500

The following amounts are the weekly wages of 7 employees of a company. $180, $240, $360, $714, $300, $250 Determine the ranges of the wages

534

A calculator uses scientific notation and displays 7,000,000 as which of the following

7 x 10

A homeowner decides to install a swimming pool in her backyard. The pool has a volume of 1000 cubic feet. Given that one cubic foot has a capacity of about 7.48 gallons, how many gallons of water does the pool hold?

7,480 gallons

An individual leaves home for work at 7:52 a.m. and arrives home from work at 4:31 p.m. How much time elapsed before the individual returned home?

8 hours 39 minutes

To estimate the fish population in a lake, a game warden caught and tagged 200 fish. After several months, the game warden caught a sample of 80 fish and 25 of those had been tagged. What would be a reasonable estimate for the fish population in the lake?

800

A recipe for 24 oz hamburger will make 8 oz serving of chili. How many ounces of hamburgers will be needed to make 28 servings of chili?

84

A student is building a skateboard ramp to do tricks. For every 4 inches of height, the ramp needs to be 2-foot long. If he wants the ramp to be 1 1/2 feet hight, how many feet long does the ramp need to be?

9

Find the greatest common factor of 36, 135, 144

9

A shorebird researcher recorded a 0.0933 increase in the number of piping plovers from one year to the next. Which percentage represents this increase

9 1/3%

A family is adding a walkway around their 12 foot by 8 foot rectangular swimming pool. Because of existing shrubbery, the total area of the project including the pool cannot exceed 190 square feet. How many square feet are left for the walkway?

94 ft^2

The following stem and leaf plots shows the best temperatures of 25 healthy adults. What is the median temperature of the adults in this data set? 96: 9 97: 00129 98: 001114566667899 99: 0011

98.5 degrees Fahrenheit

Which of the following figures is an obtuse triangle?

A triangle with one angle greater than 90 degrees

Which of the following statements is true?

A+B=C if and only if B=C-A

An elementary school is collecting soda cans to raise money for a school project. The students collected 23 cans the first week. In the second week, they collected 42 more cans than the first week. For the remaining weeks they collected 42 more cans each week than the previous week. Which of the following charts shows the data they recorded?

Chart C

The 5th grade classes at an elementary school set a goal to read 250 books by the end of the school year. According to the following table. Which class is closest to the goal after 3 months?

Class D

The table below shows the reading goals for a group of students who read a total of 250 books a year. Which of the following classes has performed best in terms of reaching the 3 month goal? Class Portion of Goal Met at 3 Months A 33% B 3/8 C 0.3 D 2/5

D

Two match boxes can be stacked in two different ways as shown in figures A and B. The bases are identical. Which of the following statements is correct?

Figure A has more outer surface area than figure B

Which of the following is true about the number 1103211

It is divisible by 3 and 9

Four students were shopping at a mall. Lisa purchases a $20.00 shirt at 10% off. Tim purchases a $20.00 shirt at 20% off. Tina purchases a $25.00 at 40% off. Joe purchases a $25.00 shirt at 30% off. Who paid the most for the shirt?

Lisa

Identify the pattern in the following sequence 1,4,2,8,4,16,8

Multiply one term by 4 and divide the next term by 2

Which of the following letters is an example of point rotational symmetry?

N

Identify the coordinates of the verticies of polygon ABCD

Option D (1, -3)

A sweater is marked 25% off the original price. Which expression represents the cost of the sweater after mark down?

P-0.25P

Which of the following is the next term in the sequence? C,G,K,O___

S

A student is attempting to solve the following expression 4x(3-1)+24/2^3 He states that the answer is 5 and shows the steps below in his notebook Results after Step 1..........4x4+24/2^3 Results after Step 2.........4x4+24/8 Results after Step 3.........16+24/8 Results after Step 4.........40/8 The students incorrect answer results from an error in which of the following steps?

Solving the expression in parenthesis in Step 1

A student solves the following problems and makes an error at one of the steps. Determine at which step did the student first make the error. 32+4-5x2=9+4-5x2........step 1 (9+4-5)x2......step 2 (13-5)x2.........step 3 8 x 2...............step 4

Step 2

Which of the following figures has at least online of symmetry?

The figure that be split evenly down the middle ________ |_______>

Triangle Z W V has two congruent sides as marked. What are the two- congruent angles?

WZV and ZVW

Which equation illustrates the distributive property?

X(Y+Z)=XY+XZ

What is an appropriate interpretation of the multiplication expression 4x?

X+X+X+X

Which graph represents a solution set of this inequality? 2x-5>13

X>9

Which of the following figures is a trapezoid?

_____ |_____\

In general division can be defined by which equation, assuming b does not equal 0

a /b=c IF AND ONLY (c)(b)=a

In general, multiplication can be defined by the equation ab-c, if and only if

b=c/a, a not equal to 0