Practice Test: Mathematics Flashcards
Which of the following is equivalent to 1/200?
1/2 or 1% (5% = 1/20, 2% = 4/200, 0.200 = 0.2 = 2/10)
Mr. G had 30 pencils for his students. Three students wanted two pencils each. Then, a new student came to school that day and he wanted three pencils. Then, one of the first three students gave their two pencils back. how many pencils did Mr. G have left to pass out? Which formula provides the correct solution to the problem?
30 - (3 x 2) - 3 + 2
*Which of the following illustrates the property of reciprocals?
the product of 31 and 1/31 equals 1 (property of reciprocals states that any number (a) multiplies by 1 divided by that number (1/2) equals 1)
Mr. R teaches 3rd grade. his students’ averages for last year are plotted on the graph. Which conclusion can be drawn from the data?
the greatest gains from 1st quarter to 4th quarter were made in history (see graph)
A school wants to create a vegetable garden for students as an applied science project. The school principal wants you to go see a supplier in order to order a fence for it. The garden is 30 feet wide and 44 feet long; however, there will be a gate which is 4 feet wide. How many feet of fending are needed?
144 feet
perimeter = 2(30) + 2(40) = 148
gate = 4 feet
148 - 4 = 144
*A certain kind of bacteria moves slowly, taking steps that have a distance of 0.0000002 feet each. If the bacteria take 4,250,000,000 steps, how far will it travel?
850 feet
Total distance = size of step x number of steps D = 0.0000002 x 4,250,000,000 D = (2 x 10^-7) x (4.25 x 10^9) D = (2 x 4.25) x (10^-7 x 10^9) D = (8.50) x (10^2) D = 8.5 x 100 D = 850 feet
Principal S passes Mr. C’s classroom and sees the following written on the board: PEMDAS and Please Excuse My Dear Aunt Sally. Principal S concludes that the focus of the lesson is _______.
order of operations
PEMDAS
(parentheses, exponents, multiplication, division, addition, subtraction)
Ms. B gives an exam to her class. The scores are as follows: 75, 80, 95, 90, 70, 65, 80, 100, 60, 80, 90, 70, 55, 50. Which of the following statements are true?
The median is 80; the mode is 80; the mean is 76
A principal is walking past a teacher’s classroom and overhears him say the following: “So the numbers in this set have exactly two whole-number factors-1 and the number itself.” When the principal peeks into the door, she sees the numbers 2, 3, 5, 7, 11, 13 , 17 written on the board. Which Sunshine State Math Standard is the teacher addressing?
determine the prime factorization of numbers (numbers w/exactly two whole-number factors that are 1 and the number itself is the definition of prime numbers)
*Six students at the Florida Virtual School sign up for a group project. Since they don’t know each other, the teacher suggests that each student call the other students individually to get to know each other. How many phone calls will there be?
15 (5 + 4 + 3 + 2 + 1 = 15)
*Absolute standard deviation is a measure of _________.
variability
Results showed that 31 students at West High School failed the FCAT test. If that represents about 5.5% of the students, what is the population of the school?
564 students
0.055x = 31 31/0.05 = 563.63
*Which is the correct sequence (largest to smallest) for the following measurement abbreviations?
km (kilometer), m (meter), dm (decimeter), cm (centimeter), mm (millimeter)
Which shape is smooth with no edges?
ovoid
*Ms. P’s students are at a pictorial level in terms of development. What is an example of something that her students might be using in math class?
drawings
Learner-centered instruction is based on ______ theories.
constructivist
Ms. F is teaching her students about volume. What would be a good manipulative for her to use?
capacity contrainers
What is a learning progression?
concepts and procedural steps in math that occur over time
*How many thousands are in a million?
1,000
1,000 = 10^3
1,000,000 = 10^6
10^6/10^3 is 10^3 or 1,000
A teacher wants to do small group projects in her class and needs to buy supplies. Each group will do the same project. What information does she need to determine the cost of the project supplies for the class?
total cost supplies for one project and number of groups
*A farmer picked twice as many oranges in the afternoon than he picked in the morning. During the whole day he picked 360 oranges. How many oranges did he pick in the morning and how many in the afternoon?
120 morning, 240 afternoon
x + 2x = 360
3x = 360
x = 120
2x = 240
((6^{2})^{4} = )
(6^{8})
exponent outside of parenthesis indicates multiplication, 2 x 4 = 8
Ms. G is using a strategy that involves a “teaching pint.” What strategy is Ms. Green using?
math workshop (modeled on the reading workshop model which includes a teaching point)
What’s the difference between collaborative and cooperative learning?
Cooperative learning is more structured than collaborative learning (cooperative learning, assigns roles and responsibilities)