FTCE K-6 MATH Problems
Jamal's grandfather has written in his journal that the family had purchased a land for ten thousand one hundred and eleven. Write this amount in standard form
$10,111.00
An 8-foot square floor is to be covered with square tiles measuring 8 inches on each side. If each tile costs 50 cents, how much will it cost to tile the floor? a) $32 dollars b) $64 dollars c) $72 dollars d) $96 dollars
$72
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
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 equation illustrates the additive inverse of property?
-10a + 10a = 0
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 -5-3 = -8
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 represents 75 thousandths?
0.075
An 8800 square foot of a highway is supposed to be resurfaced. Which of the following is an appropriate conversion into miles?
1 2/3 miles
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 area of the decking. What is the area of the deck?
1,152 sq st. 16*40 - 32*56
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
A family's annual income is 25,000. If the family spends 30% on food and 10% on clothing, how much of the annual income was spent on food and clothing?
10,000
A student brought a small apple for lunch. Which measurement would best describe the mass of the small apple?
100 grams
A regular polygon has 5 sides. Find the measure of an interior angle of the polygon.
108
Find the sum of the angle measures of the interior angle of the octagon below
1080 n-8 * 180 = 1080
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 500/8 - 300/6 = 12.5
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
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
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 3/16 = 7.5 * 2 =15
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
What is the total measure of the interior angles of the geometric shape?
180
Estimate the average height of an adult male
180 cm
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
Simplify the expression (-9)(-3)-[4-(3-6)]
20
Estimate the length of a new pencil
20 cm
Company XYZ has a total monthly payment of 6894 of which 1447.74 is for employee fringe benefits. What percent of the total payroll goes for fringe benefits?
21%
Estimate the mass of a slice of bread
25 g
A teacher went to the store to buy treats for her classroom. At the store, she found the following deals. Which deal is the best buy?
26 treats for 4 dollars
A group of volunteers is 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
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 cold medicine. How many capsules can he make?
280
A living room is two times as long and one and one-half times as wide as a bedroom. The amount of carpet needed for the living room is how many times greater than the amount of carpet needed for the bedroom? 1 1/2 2 3 3 1/2
3
Which equation illustrates the property of the identity element of addition?
3 + 0= 3
Mr. Singh sells ground cinnamon. He has a 1.5 lbs bag. How many 8 oz. bags does he have?
3 1.5oz = 24lb/8 =3
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 = 2.25 OR 2 1/4
Which of the following is NOT equivalent to 22 over 7?
3(7/ 1) + 1 1/ 7
Calculator using scientific notation will display 3,200,000 as which of the following?
3.2 x 10^6
The smallest state in the United States is Rhode Island, which measurement is closest to the area of Rhode Island?
3000 square kilometers
Find the greatest common factor of 34, 102, & 170
34
The probability of newlyweds honeymooning out of state is 40%. What are the odds in favor of the couple staying in-state for their honeymoon?
3:2
Which of the following sets of numbers is ordered from least to greatest?
3^-2, 0.3, 33%, 1/3
A contractor is tilling a bathroom with an area of 36 sq ft. How many square yards of the area is he working on?
4 sq. yds.
To complete a quilt 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 is 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
A group of students is working on a project. They complete 30% percent 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
Mrs. Michaels has installed a new and more powerful sprinkler system, but the new system will go 20 meters farther than the old system with a radius of 50 meters as pictures below. What is the circumference of the spraying area of the new system?
439.6 meters 20+50= 70*3.14*2
A rectangular polygon has eight sides. Find the measure of an exterior angle of the polygon
45
Burritos are served with various choices of each of 3 layers of toppings. Customers may choose one of the following as the base: beans, beef, chicken. They may choose one vegetable topping: Lettuce, tomatoes, onions, or olives. They may also choose one condiment topping: sour cream, guacamole, cheese or salsa. How many different burritos can be made from all these choices?
48
Which step should be done first to simplify the expression? 8a − 4a ÷ 2a − 16a • 8a + a
4a ÷ 2a
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 calculator using scientific notation would display 0.000507 as which
5.07 x 10^-4
An athelete swam 100 yards in 52 seconds. To the nearest 10th, what was the average number of feet per second traveled?
5.8 feet per second
A student types 3750 word report in 1 hour and 15 min. Find the average words per minute?
50 wpm
A student types 3750 words report in 1 hour & 15 min. Find his average words per minute?
50 wpm 3750/75 = 50
A right prism of height 15 cm has bases that are right triangles with legs 5 cm and 12 cm. Find the total surface area of the prism. a) 315 cm2 squared b) 480 cm2 squared c) 510 cm2 squared d) 570 cm2
510 cm2
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
The weekly wages of 7 employees are shown as follows: 180, 240, 360, 714, 300, 256, and 180. Find the range
534
Find the sum of the interior angles of the polygon shown in the figure (a pentagon that looks like a house)
540
Estimate the weight (mass) of an adult female.
55 kg
A customer decides to give a tip to a waitor of only one coin randomly selected from 8 coins from his pocket. What are the odds of him giving the waiter a quarter is he has 3 quarters, 2 half dollars, 1 dime and 2 pennies?
5: 3
A teacher wants to build a scale model of the Earth and Pluto to compare their sizes. The Earth has a diameter of approximately 8000 miles and Pluto has a diameter of approximately 1500 miles. If the teacher builds a model of Earth with a diameter of 32 inches, what should be the diameter of her model of Pluto?
6 inches
A rectangular prism has a length of 3 units, width of 4 units, and a height of 5 units. What is the volume of this prism?
60 units cubed
The expression (5^2)^2 is equivalent to
625
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?
640
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
A bottle of children's cough syrup would most likely have a capacity of
8 Fluid ounces
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
A school purchased computers for students to use at the cost of $824.06 each. The ratio of students available for each computer is 8.682 students. Which of the following would be the most appropriate mental computation?
800/9
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
Find the greatest common factor of 36, 135, 144
9
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
Simplify the expression. 90 − 60 ÷ 30 + 10
98
The following stem and leaf plots show 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
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
The number of loaves of bread sold is inversely related to the cost of a loaf of bread. if the cost doubles, the number of loaves of bread sold will...
Drop by half
The Ramirez Family panned for gold on their recent vacation to California then recorded their findings in this chart with a family member and his/her corresponding number of ounces of gold Luis: 14/10 Maria: 1.87 Norma: 6.24 Gabriela: 16/6 Which of the family members received the second-largest ounces of gold?
Gabriela
A sixth-grade teacher is plotting the vertices of a rectangle on a coordinate grid. The first 3 points he plots are (3, 1), (- 1, 1) and(-1, - 1). In what quadrant should the last vertex be plotted?
IV
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
The following measurements show the rainfall in Center City over the course of a week 4 cm, 5 cm, 4 cm, 0.1 cm, 0.25 cm, 0 cm, 2 cm If the chamber of commerce would like to portray Center City as a city of low rainfall, the best statistical measure to advertise would be
Median
Which of the following letters is an example of point rotational symmetry?
N
Select the perpendicular pair of lines
NM-KL
What is the 1st operation performed to simplify the following operation? 1/2 + 15/16 ------------/ 5/8 1-3/4
Subtract 3/4 from 1
Which of the following figures has at least online of symmetry?
The figure that be split evenly down the middle ________ |_______>
Which of the following statements is true about this set of numbers? (4,16,12,8,14,6)
The mean is the same as the median
Which equation illustrates the distributive property?
X(Y+Z)=XY+XZ
Which graph represents a solution set of this inequality? 2x-5>13
X>9
Which of the following figures is a trapezoid?
_____ |_____\
A student travels m miles to visit a family member during a holiday vacation. If it takes the student 5 hours to arrive, which of the following expressions represents the average rate of speed, in miles per hour that the student traveled?
m/5
Compare the two triangles:
rotation
Given a rectangular solid as shown in the diagram, which formula is a correct representation for its total surface area?
s = 2xz + 2yz +2xy
