A student has a bag containing 96 hard candies and wants to give an equal number of them to each of 6 friends. Which of the following mathematical operations would be most useful for the student to use when determining how many candies each friend should receive?
B. This question requires the examinee to demonstrate knowledge of operations. The operation of division can be defined as partitioning a certain number of items into a specified number of groups in order to determine how many items each group contains.
A member of a local environmental group uses a spreadsheet to track the amount of paper, plastic, glass, and aluminum a community recycles each month, as shown below. The spreadsheet software can automatically create several types of graphs from the data. Which of the following types of graphs would be most appropriate for visually representing the percentages of the various recycled materials relative to the total amount recycled?
a. Circle Graph
b. Line Graph
c. Bar Graph
d. Scatter Plot
a. This question requires the examinee to apply knowledge of graphs to represent real-world situations. A circle graph is used to compare the parts of a whole and the area of each sector is proportional to the fraction or percentage of the area of the circle that it represents.
[0, 1, 5, 14, 30, 55, . . . ] Which of the following numbers would appear next in the patterned sequence above?
C. This question requires the examinee to recognize patterns in numbers. In the pattern given, the differences between the successive terms in the pattern are 1, 4, 9, 16, and 25, which are the squares of the first 5 integers. To determine the next term, the square of 6, or 36, must be added to 55 to get 91
Two rectangles, A and B, are similar. Rectangle A has a length of 100 centimeters and a width of 50 centimeters. If the area of rectangle B is 200 square centimeters, what is its perimeter?
a. 40 centimeters
b. 60 centimeters
c. 80 centimeters
d. 120 centimeters
B. This question requires the examinee to solve problems involving perimeter. If rectangles A and B are similar, the length and width of rectangle B must be proportional to the length and width of rectangle A. In addition, the product of the length and width of rectangle B must equal 200 square centimeters. If the length of rectangle B is 20 centimeters and its width is 10 centimeters, both of these conditions are met. Therefore, the equation representing the perimeter of rectangle B is 20 + 10 + 20 + 10 = 60.
The waxy layer covering the exoskeleton of an insect is an adaptation that primarily aids in which of the following functions?
a. absorbing oxygen
b. avoiding detection by predators
c. minimizing water loss
d. blocking ultraviolet radiation
C. This question requires the examinee to apply knowledge of the characteristics of living organisms. In terrestrial insects, the waxy layer of the exoskeleton acts as a waterproof barrier that keeps water in and prevents insects from becoming dehydrated.
Which of the following shows the relative positions of the sun, Earth, and moon during a solar eclipse?
A. This question requires the examinee to recognize the effects of the relative positions of the sun, Earth, and moon. A solar eclipse can only occur when the moon moves directly between the sun and Earth, casting its shadow over part of Earth.
The relationship between form and function is a common theme in science. For example, the specific type of chemical bonding between copper atoms is what is responsible for the high electrical conductivity and ductility of this metal. Which of the following is another example of this relationship?
a. the expression of human genes in bacterial cells
b. the differences in weathering patterns caused by wind and water
c. the shape of plant leaves in the understory of a tropical rain forest
d. the jigsaw puzzlelike characteristics of the continents
C. This question requires the examinee to recognize the relationship between form and function. Plant leaves in the understory of a tropical rain forest are usually large in order to capture as much sunlight as possible, and they often have drip tips to help excess precipitation run off.
In dramatic literature, which of the following is a common characteristic of plays that are classified as tragedies?
a. a story line that ridicules a situation in society for the purpose of improving it
b. stock characters who represent particular personality types
c. a clear and unchanging view of right and wrong
d. a main character who makes an error that leads to inevitable consequences
D. This question requires the examinee to identify basic terms associated with drama. Tragedy is a serious dramatic form that has a sorrowful or disastrous conclusion in which a central character suffers some misfortune that is logically connected to the character's actions.
The table shows the percent change in a Consumer Price Index from the previous year for 1996 and 1997. Which category shows the greatest change from 1995 to 1996?
A. Public transportation
B. Private transportation
D. Apparel & Upkeep
D. Apparel & Upkeep
Use the diagram to find the area of the rectangle. Give your answer in lowest terms.
The area of the rectangle is _______ square foot.
Correct answer is 3/49
Convert to decimal notation.
5.913 x 10^-8
Students use 24 squares to see how many different rectangles they can make. This activity is most appropriate for exploring which of the following concepts?
Find the value of 2x − 5y if x = −4 and y = −2.
The bottom one. I can't see the graphic in this editing; i forget if it had a number / letter selection. its 50, 57, 64,71,78,85
Which of the following is a product of photosynthesis?
- carbon dioxide
Most of the energy captured by photosynthesis is stored in:
- carbon dioxide.
A combination of three or more tones sounded at the same time is an example of:
Work songs, combined with spirituals and ballads, evolved into a type of music called:
While singing a song with a class, a fourth-grade teacher has students sing part of the song very softly and then increase the volume to produce a rousing final chorus. Which of the following elements of music is best exemplified in this situation?
In two- and three-dimensional art, the space between and around shapes and forms is the:
Which of the following types of dance is primarily characterized by rhythmic footwork?
Which of the following is the best example of feedback in a system?
- A person perspires during exercise and body temperature is lowered as a result.
- A bicycle tire sitting in the sun expands as it is heated.
- A potted plant wilts as its soil dries out.
A person perspires during exercise and body temperature is lowered as a result.
A group of students recorded the number of each type of bird observed outside the classroom window. Which of the following types of graphs should the students use to visually represent the percentage of each type of bird compared to the total number of birds observed?
- bar graph
- circle graph
- line graph
The heat from a toaster oven warms the wall several inches behind it. This is an example of which of the following types of energy transfer?
Which of the following types of rock is formed directly from the cooling of magma?
Scientists believe that a mass of molten metal is present in Earth’s:
Which of the following is an example of a physical change?
A roasting marshmallow turns brown and black.
A piece of iron rusts when it is left outdoors.
Liquid water changes to solid water as it is cooled.
Liquid water changes to solid water as it is cooled.
Which of these planets is most similar to Earth in terms of size, density, and chemical composition?
Put in order from most general to least general:
Family, Genus, Phylum, Species, Class, Order, Kingdom