Math Content Quiz
June is planning a vacation. The hotel costs $872.27, the rental car is $189.78, and she budgeted $250 for food. Estimate how much cash June will need to pay for hotel, car, and food.
$1250
Samantha bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
$15.75
The final cost of an item (with sales tax) is $8.35. If the sales tax is 7%, what was the pre-tax price of the item?
$7.80
(3 x 9) ^4 =?
(3 x 9) + (3 x 9) + (3 x 9) + (3 x 9)
What is 5 less than three times a number represented as?
(3x-5)
Perform the indicated operation: (-36)-11.
-47
For what value of x is the expression 5/x undefined?
0
How many lines of symmetry does the following figure have?
0
In a group of 120 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?
0.25
Two fair two-sided coins are tossed at the same time. What is the probability that only one head is obtained in each of the tosses?
0.5
Solve the following problem. Express the answer as a mixed number. 1.6 - 3/8 =?
1 (9/40)
Multiply 3/4 by 2/3. Show your answer in simplified form
1/2
A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 2?
1/3
What is the probability of rolling a 7 with a pair of dice?
1/6
Carlos wanted to bring cookies for the entire school. He is going to bring 400 cookies in bags. If each bag can hold 38 cookies, how many bags will he need?
11
What is the square root of 144?
12
Simplify: 6⋅2+3÷3.
13
Which answer choice is a rational number?
15/4
If the number 132/7 is desired to be represented as a mixed number, what would the mixed number look like?
18 6/7
On a coordinate graph, the points W(-2, 3), X(0, 3), Y(0, -6), and Z(-2, -6) are the vertices of a rectangle. What is the area of rectangle WXYZ?
18 units^2
Stacy went to the store to purchase a loaf of bread. She originally thought she had only $9.55 in nickels in her purse. She then discovered she had 10 extra nickels in her pocket. How many nickels did she originally have in her purse?
191
How many lines of symmetry do all non-square rectangles have?
2
Look at the following number: 1,015.82353276. What is the number in the hundredths place?
2
What is the GCF of 12, 30, 56 and 144?
2
Which of the following is correct?
2,365 > 2,340
Which of the following is not a natural number?
2-Jan
Which of the following numerals is the smallest?
2/5
What are two equivalent fractions for the fraction 1/4?
2/8, 5/20
How is the number 12 represented in Base 6?
20
Ben started working recently and received his first paycheck. He is attempting to decide on whether or not he should open a checking account or a savings account. The checking account offers a yearly interest payment of $50 for every $100 in the account above $5,000 at the end of the year. The savings account offers a yearly interest payment of 4% of the total in the account at the end of the year. If Ben is going to have $6,000 in the account at the end of this year, how much interest would he earn if he chooses the savings account?
240
Solve the following equation for 44-7x=3x+5+7x-4x?
3
What is the mode of the following data set? 4,12,3,15,8,3,9,9,8,10,12,14,3,2
3
What is 7.5 - 1/4 represented as a decimal?
3.25
Mike Trout had a batting average of approximately .300 during the 2014 baseball season. During a 25 game span during the season he ends up having 100 official at-bats. How many hits would you expect Mike Trout to get during this 25 game stretch?
30
The length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square feet, what is the area of the original rectangle?
300 square feet
Use the figure below to answer the question that follows. Given that the radius of circle shown is 6 units and that the circle is inscribed in the square, which of the following is the approximate area of the shaded region?
31 square units
Students are designing a class quilt using squares of fabric. Each day new squares are added to the design. The diagram below shows how the students are arranging the squares of fabric: If the pattern continues, what is the number of fabric squares needed for Friday's quilt?
32
What is the next number in the following sequence? 1, 1, 2, 3, 5, 8, 13, 21...
34
What is the result when 7x^5 and 5x^4 are multiplied together?
35x^9
What is the value of the 4 in the number 36,179.405?
four tenths
Students in Ms. Lopez's class are solving this problem by the discovery method: A sheet of paper 16 by 30 inches has squares of side x cut out from the corners as shown in the diagram below. The paper is folded on the dotted line to create a rectangle solid. The volume of the solid is V= x(30-2x)(16-2x) Which of the following activities is most effective in helping students understand how length, width, and height contribute to the volume of a rectangle solid?
have students cut out squares of various sizes, bend up the sides, and determine the volume of the resulting shape
The main advantage of using hands-on activities in mathematics is to?
lead the students to active learning ad quite them to construct their own knowledge
A function defined by the equation f(x)= 5mx + b?
liner function
Which of the following statement best represents the value of manipulatives as part of an instructional strategy?
manipulative can be used to teach mathematics in grades Pre-K to high school
You and your family go out to dinner one night. At the end of the meal you receive a bill for the meal. The total bill, before tax, is $78.60. Assuming tax for the meal is 5%, what would you need to do first in order to find out the amount of tax you need to pay?
multiply the total by 0.05
Equity is one of the six principles of mathematics. Identify the statements that best describe this principle.
provide individual students the support needed to be successful in class
Given similar polygons with corresponding sides measuring 6 inches and 8 inches, what is the area of the smaller polygon if the area of the larger is 64 in^2?
36in^2
John makes $5,000 per month after taxes. His monthly rent is $1,200, his car payment is $600, his utilities are $500, his student loan payments are $1,400, and his food bill is $400. If John wants to put 10% of his money into a savings account each month, how much will John have left over after deducting everything?
400
A right triangle has a hypotenuse with a length of 53 inches. One leg of the triangle measures 28 inches. What is the length of the second leg of the triangle?
45 inches
Crystal needs to buy bread for her party. She knows that one loaf will feed 8 people, and there are 371 people coming to her party. How many loaves of bread does she need to buy?
47
What is another way to write 4 x 4 x 4?
4^3
John makes $5,000 per month after taxes. His monthly rent is $1,200, his car payment is $600, his utilities are $500, his student loan payments are $1,400, and his food bill is $400. If John wants to put 10% of his money into a savings account each month, how much will John put into savings each month?
500
Four bottles of the same brand of dish detergent are offered for sale as follows: 32.4 fluid ounces for $3.97; 56 fluid ounces for $5.97; 16.2 fluid ounces for $2.87; and one containing 73.8 fluid ounces for $8.37. Which bottle size would save the most money per ounce?
56 fl.oz
Dana uses 2 gallons of milk in 3 weeks. How many gallons of milk would she use in 9 weeks?
6
How many faces does a cube have?
6
Which of the following sets of numbers is not an integer followed by its square?
6,32
What is the next term in the following sequence? { 0.005, 0.3, 0.18, 1.08...}
6.48
A card is drawn from a standard deck of cards, what is the probability that the card is a queen or a black four?
6/52
A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?
60 miles per hour
Jason can run a distance of 50 yards in 6.5 seconds. At this rate, how many feet can he run in a time of 26 seconds?
600
In a bag there are 12 green marbles, 11 red marbles, and 7 blue marbles. What is the probability of drawing a blue marble?
7/30
On Halloween the local grocery store offered a sale on bags of candy. The 72 - ounce bags were regularly $8.95 each and were discounted to $5.99 each on purchases of 2 bags. The 36-ounce bags of candy were regularly priced $5.49 but were $3.99 each on purchases of 4 bags. The 18-ounce bags of candy were regularly priced $4.49 per bag and were discounted to $2.89 per bag on purchases of 8 bags. For a purchased of 288 ounces of candy, which option provided the best value? (The sale price on each option extends for multiples of the required amount of bags only)
72-ounce bag
Daniel bought a total of 20 game cards, some of which cost $0.25 each and some of which cost $0.15 each. If Daniel spent $4.20 to buy these cards, how many $0.15 cards did he buy?
8 cards
What is the median of the following data set? 4, 12, 3, 15, 8, 3, 9, 9, 8, 10, 12, 14, 3, 2.
8.5
Use the data below to answer questions The following are the percentages that were earned on a fifth-grade math exam: 78, 84, 86, 90, 93, 90, 87, 64, 98, 74, 73, 72, 98, 81, 77 Find the median of the given test scores?
84
What is the approximate volume of the following cylinder? r=6m h=8m
904m^3
Mrs. Cameron plans to buy carpeting for her living room floor. The room is a rectangle measuring 14 feet by 20 feet. She wants no carpet seams on her floor even if that means that some carpeting will go to waste. The carpeting she wants comes in 16-foot-wide rolls. What is the minimum amount of carpeting that will have to be wasted if Mrs. Cameron insists upon her no-seams requirement? A. 40 ft2 B. 60 ft2 C. 80 ft2 D. 100 ft2
A
Which of the following is equivalent to 17(64+82)−43? A. 34(73) - 43 B. 64×34 C. 64×33 D. 17(128)−12
A
Mrs. Williams is teaching a measurement unit to her kindergarten class by measuring the lengths of various classroom objects. Which of the following would be an appropriate tool for Mrs. Williams to provide to her students to use as a measurement device?
All of the above
Which of these numbers or number representations are irrational numbers? Which of these numbers or number representations are irrational numbers? Select all that apply. A. π B. 2√ C. e≈2.71828182845... D. 58 Select all that apply
All of the answers A,B,C,D
What is the correct expansion of (a + b)3 A) a3 + b3 B) a3 + 3a2b + 3ab2 + b3 C) a3 + 6a3b3 + b3 D) 3a2 + 3b
B
A kindergarten teacher is planning a unit on measurement. Which measuring tools should she use to introduce the unit?
Body parts, such as hands and feet
Identify the next logical pattern of shapes that comes in this sequence:∘∘⋄∘∘⋄⋄∘∘⋄⋄⋄∘∘... A. ∘⋄⋄∘ B. ∘⋄∘⋄ C. ⋄⋄∘∘ D. ⋄⋄⋄⋄
D
Which of the following is a nonlinear function? A) f(x)=3x-1 B) f(x)=x C) f(x)= x/5 D) f(x)= x/5 - square root of x
D
In each of the figures shown above, made up of circles, rectangles, triangles, and parallelograms, the shaded area represents a region in which flowers will be planted costing $ 2.50 per square foot. Which of them costs under $300 to plant the flowers? Select all that apply
Figure A, D, E
The concept of the zero evolved in India but was also developed, disconnected by the?
Mayans
A pre-kindergarten teacher is sitting at a table with a small group of students. The teacher pours out a cup of blocks and asks a student to count the blocks with his fingers. The teacher is most likely assessing which skill?
One-to-one correspondence
Pairs of students take turns throwing a die. Each time the die is thrown, each student enters that number into one of four boxes he has drawn on his paper. After throwing the die four times, the students compare numbers. Whoever has the smallest four-digit number wins the game. This game will help students develop their understanding of:
Place Value
The following four people are waiting in line at the post office: Marcie made a graph showing the relationship between the age and the height of the four people. Which point on the graph represents the teen girl?
Point B
While teaching his class, Mr. Diaz asks Rebecca, a first grader, to answer a math question. After about 10 seconds, Rebecca answers the questions correctly. Mr. Diaz has done a good job of?
employing a wait time strategy
Which of the following shapes contains only one obtuse angle?
Scalene triangle
Which of the following describes an advantage of the metric system over the customary system?
The metric system is easier to use and conversion within the metric system is consistent
In probability, the same space represents:
a list of all possible outcomes of an experiment
What is an algorithm?
a step-by-step procedure for solving problems
Mr. Michaels begins teaching his students the principles of addition. Before beginning his lessons, he must ensure that:
all of the above
Mickey Sanders, a fifth grade student, attempted to solve a multi-step mathematical problem but he missed the answer. The answer was supposed to be $2,502, and he arrived at a totally different number. The teacher asked him to review the problem, but he still could not find the reason why he missed the answer. He insisted that his answer is right, and some of the other students seem to be in agreement with him. What might be the next step for the teacher?
ask Mickey to explain the process he followed to solve the problem
In the early grades, mathematic and spatial reasoning are introduced in learning centers through the use of manipulatives. What is the main advantage of using learning centers to introduce mathematics and spatial reasoning?
children explore and learn reasoning skills indirectly using concrete objects in informal settings
The relations given below demonstrate the following addition and multiplication property of real numbers: a + b = b + a ab = ba
commutative
As a formative assessment, Mr. Williams asked his students to create and draw a map of the town. Johana and Giovani drew complementary angles for their roads. Which of the following statements should the students include in their angle explanations?
complementary angles are made of two angles whose sum is 90 degrees
What measurement principle do children in Pre-K through kindergarten sometimes have difficulty with?
conservation
Word Problem: Tripti has 10 apples and 20 oranges. Tripti's mother doubles the total number of apples and oranges she has. Meanwhile, Gahn's mother gives Gahn twice as many apples and twice as many oranges as Tripti started with. A teach creates the world problem shown above for a math lesson. Based on the word problem, the lesson will most likely cover which of the following mathematical properties?
distributive property
In the Texas curriculum, the teaching of place value is required in which of the following?
first grade
Carlos wants to bring cookies for each student in his entire elementary school. He knows there are 800 students in the school. HIs teacher asks him to make sure he buys enough bags to carry all of the cookies, assuming each bag can hold 38 cookies. Carlos goes to the store and buys 20 bags, then brings the cookies to school the next day. He finds out that he doesn't have enough cookies for all the students at the school. Which of the following is Carlos most likely to have done to obtain the incorrect number of bags?
rounded 38 to 40
A four-year-old child has mastered counting to 10 using blocks. One day, the teacher decided to challenge the child and gave him 10 blocks of two different colors, and asked the child to count to ten again. At the end, the teacher asked the child, how many blocks do you have? How many are blue and how many are red? The child responded by counting the blocks again. What developmental issue is the child lacking?
the ability to understand that number stand for a given quantity
Mary did comparison shopping on her favorite brand of coffee. Over half of the stores priced the coffee at $1.70. Most of the remaining stores priced the coffee at $1.80, except for a few that charged $1.90. Which of the following statements is true about the distribution of prices?
the mean is greater than the mode
A newscaster commenting on President Obama's interest in opening American markets to more Asian trade indicated that at the beginning of his presidency, Obama had opposed this idea, but now he was promoting it. To conceptualize this change of heart, he suggested that President Obama had undergone a 306- degree change in his stance. From a mathematical point of view, what is the problem with this characterization of the Obama policy?
the use of the 360-degree allusion implies that the president has not changed his policy at all
While students in a sixth-grade class work in small groups on an ungraded discovery activity involving linear functions, the teacher circulates through the class asking individual students questions such as, "Why did you choose to assign the height variable to the vertical axis? and "What happens to the graph if you use different-sized cups for the experiment?" Based on the scenario, which of the following is a primary purpose of these questions?
to gauge student progress in developing conceptual understanding gin a way that will not penalize the student
Mr. Johnson guides children to notice the shapes and characteristics of the objects in the classroom and the physical features of the classroom. Students began noticing the angles and shapes of the desks, the writing board, the corners of the classroom and the tiles on the floor.What was the main purpose of this kind of activity?
to make students aware of the concepts in geometry and how it impacts our lives
The use of digital cameras, balanced metric weight sets, and virtual manipulatives available on the Internet is most appropriate for children in which of the following grade levels?
upper elementary
Students are shown this Input-Output table: This function is written as:
x + 5 = y