SAE-Mathematics

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?

$72

What are the coordinates of the point plotted on the grid?

(-3, 2)

The center point of the circle is located at which point on the coordinate grid?

(-6, 4)

Two vertices of a triangle are plotted on the coordinate plane. Which of the following ordered pairs would result in the completed figure being a scalene triangle?

(2, -2)

Which equation illustrates the associative property of multiplication?

(aXb)c = a(bXc)

Which of the following is an equivalent measurement for 1.3 cm?

0.013 m

Which of the following numbers represents 75 thousandths?

0.075

A grocery store is selling individual bottles of water, and each bottle contains 750 millilitres of water. If 12 bottles are purchased, what conversion will correctly determine how many litres that customer will take home?

1,000 millilitres equals 1 litre

What is the next number in the following series: 1, 3, 6, 10, 15, 21,....?

28

A student was responsible for taking care of a plant over a 3 month period. The student measured and recorded the height of the plant at the end of each month as shown in the table.

2m + 7 = h

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?

3

Which of the following is NOT equivalent to 22/7?

3(7/1) + 1/7

The following circle graph shows the results of a survey of 150 students. How many students chose baseball as their favorite sport? Soccer 40% Football 32% Baseball 20% Basketball 8%

30

Using the following diagram, calculate the total circumference, rounding to the nearest decimal place: 5 cm is the radius

31.4 cm

A rectangle was formed out of pipe cleaner. Its length was 1/2 feet and its width was 11/2 inches. What is its area in square inches?

33 inch2

What is the area of the regular hexagon shown below? stop sign with a radius of 10.39, a side that measures 12

374.04

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

Which step should be done first to simplify the expression? 8a - 4a/2a - 16a X 8a + a

4a + 2a

Which of the following expressions best exemplifies the additive and subtractive identity?

5 + 2 - 0 = 5 + 2 + 0

What is the solution to (2 x 20) / (7 + 1) + (6 x 0.01) + (4 x 0.001)?

5.064

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.

510 cm2

Estimate the weight (mass) of an adult female.

55 kg

A teacher wants to 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 units3

A bottle of children's cough syrup would most likely have a capacity of

8 fluid ounces.

If Danny takes 48 minutes to walk 3 miles, how long should it take him to walk 5 miles maintaining the same speed?

80 min

Last year, the New York City area received approximately 27 3/4 inches of snow. The Denver area received approximately 3 times as much snow as New York City. How much snow fell in Denver?

83 1/4 inches

Which of the following could be used in the classroom to show 3/7 < 5/6 is a true statement?

a number line

What is the definition of a factor of the number 36?

a number that 36 can be divided by and have no remainder

Which statement is true about a triangular pyramid?

a triangular pyramid has 4 faces

A local school district requires all 5th graders to complete an untimed test containing 50 multiple choice mathematics problems. The tests are scored and the results are compared throughout the district. What component of mathematics fluency is most likely the goal of this type of assessment?

accuracy

Which important mathematical property is shown in the expression: (7 x 3) x 2 = 7 x (3 x 2)?

associative property

The diameter of a circle measures 5.75 centimeters. What tool could be used in the classroom to draw such a circle?

compass

A teacher is explaining a mental mathematics strategy to the class and says: Suppose we wanted to add 76 + 9. One way to do this addition problem is to think: 76 + 9 is the same as 76 plus 10 minus 1, because 10 minus 1 is 9. By adding 76 and 10, we get 86, then subtracting 1 gives the answer 85. This kind of thinking is also called "making 10." What type of strategy is being taught?

compensation

Which of the following figures is not a polygon?

cone

What unit of volume is used to describe the following 3-dimensional shape? a cube

cubic inches

Which of the following sequences is the most appropriate learning progression through the levels of geometric thinking?

descriptive, analytic, abstract

Carey bought 184 pounds of fertilizer to use on her lawn. Each segment of her lawn required 12 1/2 pounds of fertilizer to do a sufficient job. If a student were asked to determine how many segments could be fertilized with the amount purchased, what operation would be necessary to solve this problem?

division

Which item taught in the classroom would allow students to correctly find the solution to the following problem: A clock reads 5:00 am. What is the measure of the angle formed by the two hands of that clock?

each time increment on an analog clock measures 30 degrees

A student is making belts for some shorts. The student bought 66 inches of fabric which will be cut into 22-inch pieces. How many belts can be made with the fabric purchased? Which of the following describes the problem structure?

equal groups, measurement division

Students in the 3rd grade study multiplication in terms of equal groups, arrays, and area. What should students in the 4th grade be expected to do as the next step in this learning progression?

extend their concept of multiplication to make multiplicative comparisons

In a 4th grade mathematics meeting, two teachers are discussing ways to teach multiplication. Teacher A believes the class should be taught the standard algorithm as the best way to solve a multiplication problem. Teacher B believes the students should explore various multiplication strategies and decide which strategy is best for each problem. What component of math fluency is Teacher B promoting?

flexibility

A teacher cuts a pie into 6 equal pieces and takes one away. What topic would she be introducing to the class by using such a visual?

fractions

Which of the following are units that would be taught in a lecture covering the metric system?

kilograms, grams, kilometers, meters

Given the value of a given stock at monthly intervals, which graph should be used to best represent the trend of the stock?

line graph

Which measure for the center of a small sample set is most affected by outliers?

mean

The math supervisor polled the teachers in the school district concerning which day of the week to hold a staff development workshop. The results showed that 20% of the teachers preferred Monday. 15% preferred Tuesday, 10% preferred Wednesday, 25% preferred Thursday, and 30% preferred Friday. To decide which day to hold the workshop, which statistic should the supervisor use?

mode

A teacher is showing students how to evaluate 5 x 6 + 4/2 - 1. Which operation should be completed first?

multiplication

What operation are students taught to repeat to evaluate an expression involving an exponent?

multiplication

Joshua has collected 12,345 nickels over a span of 8 years. He took them to bank to deposit into his bank account. If the students were asked to determine how much money he deposited, for what mathematical topic would this problem be a good introduction?

multiplying decimals

What is the probability of randomly picking the winner and runner-up from a race of 4 horses and distinguishing which is the winner?

1/12

A student brought a small apple for lunch. Which measurement would best describe the mass of the small apple?

100 grams

Simplify the following expression. 30/(7-2) x 2

12

The perimeter of a 6-sided polygon is 56 cm. The length of three sides are 9 cm each. The length of two other sides are 8 cm each. What is the length of the missing side?

13 cm

Which common denominator would be used to evaluate 2/3 + 4/5?

15

Rewriting mixed numbers as improper fractions can help students perform operations on mixed numbers. Which of the following is a mixed number?

16 1/2

What is the solution to 9 x 9/9 + 9 - 9/9?

17

Which of the following represent one hundred eight-two billion, thirty-six thousand, four hundred twenty-one and three hundred fifty-six thousandths?

182,000,036,421.356

Katie works at a clothing company and sold 192 shirts over the weekend. 1/3 of the shirts that were sold where patterned, and the rest were solid. Which mathematical expression would calculate the number of solid shirts Katie sold over the weekend?

192 x (1 - 1/3)

A piggy bank contains 12 dollars' worth of nickels. A nickel weighs 5 grams, and the empty piggy bank weighs 1050 grams. What is the total weight of the full piggy bank?

2,250 grams

The area of a given rectangle is 24 centimeters. If the measure of each side is multiplied by 3, what is the area of the new figure?

216 cm2

A solution needs 5 mL of saline for every 8 mL of medicine given. How much saline is needed for 45 mL of medicine?

225/8 mL

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

Simplify the expression. 90-60/30+10

98

Which of the following shapes is on the missing side?

A

On an old map, a student circled the Sun. In which quadrant is the Sun located?

II

A 6th 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

A student answers a problem with the following fraction: 3/15. Why would this be considered incorrect?

It is not simplified. The correct answer would be 1/5.

Which of the following would be an instance in which ordinal numbers are used in the classroom?

Matthew finished second in the spelling bee.

Which of the following formulas would correctly calculate the perimeter of a legal-sized piece of paper that is 14 inches long and 8 1/2 inches wide?

P = 14 + 8 1/2 + 14 + 8 1/2

Which of the following is the correct order of operations that could be used on a difficult math problem that contained grouping symbols?

PEMDAS - parentheses, exponents, multiplication, division, addition, subtraction

If a student evaluated the expression (3 + 7) - 6/2 to equal 2 on an exam, what error did she most likely make?

She performed the operations from left to right instead of following order of operations.

Which of the following statements is true about the two lines below?

The two lines are neither parallel nor perpendicular.

Which of the following is the definition of a prime number?

a number greater than zero that factors only into itself and 1

A student is struggling to progress through the descriptive level of geometric thinking. Which of the following skills is considered the most basic in the levels of geometric thinking?

recognizing and identifying shapes

Which of the following concepts is recommended to be taught first in the development of fractional understanding for students?

representing fractions with area models

Which four-sided shape is always a rectangle?

square

Which of the following polygons can be classified as regular? triangle square pentagon or star

square

Kruti just purchased 3 shirts, 1 skirt, and 2 pairs of shoes. She would like to compute the change she would receive from a $100 bill. Which operation should she use last?

subtraction

Students should line up decimal places within the given numbers before performing which of the following?

subtraction

What other operation could be utilized to teach the process of dividing 9453 by 24 besides division?

subtraction

3/4 of a pizza remains on the stove. Katie eats 1/3 of the remaining pizza. In order to determine how much of the pizza is left, what topic must be introduced to the students?

subtraction of fractions with like denominators

If a teacher was showing a class how to round 245.2678 to the nearest thousandth, which place value would be used to decide whether to round up or round down?

ten-thousandth

An angle measures 54 degrees. In order to correctly determine the measure of its complementary angle, what concept is necessary?

two complementary angles sum up to 90 degrees

A 4th grade student is experiencing difficulty in understanding the concept of place value. Which of the following is the best strategy for reteaching the concept?

using counters and a chart to display numbers

A kindergarten class is learning about addition without regrouping. Which of the following strategies would be most appropriate to begin teaching students how to add two digits?

using realistic examples in a familiar context

A cereal box has a base 3 inches by 5 inches and is 10 inches tall. Another box has a base 5 inches by 6 inches. What formula is necessary for students to use to find out how tall the second box would need to be in order to hold the same amount of cereal?

volume of a rectangular solid