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FTCE Subject Area Test Mathematics Review Detailed Questions And Expert Answers
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FTCE Subject Area Test Mathematics Review Detailed Questions And Expert Answers
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FTCE Subject Area Test Mathematics ReviewDetailed Questions And Expert Answers
Which of the following is equivalent to 1/200?
A. 1/2 of 1%
B. 5%
C. 2%
D. 0.200 - ANS (A) Choice B is incorrect because 5% = 1/20. Choice C is incorrect
because 2% = 4/200. Choice D is incorrect because 0.200 = .2 = 2/10.
Mr. Green had 30 pencils for his students. Three students wanted two pencils
each. Then, a new student came to the 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. Green have left to pass out? Which formula provides the
correct solution to the problems?
A. 30 - (3 x 2) -3 + 2
B. 30 - 3 x 2 + 3 - 2
C. 30 x (3 - 2 - 3 ) + 2
D. 30 + 3 x (2 + 3) + 2 - ANS (A) Mr. Smith starts with 30 pencils. Giving pencils out
implies subtraction. Three students get 2 pencils each -(2 x 3). The new student
gets 3 pencils. (-3) One of the first students gives his back to Mr. Smith (+2). The
correct formula would be 30 - (3 x 2) -3 + 2.
, Which of the following illustrates the property of reciprocals?
A. Multiplying 23/16 by 16/23 gives the same product as multiplying 16 by 23.
B. The numbers 65, 70, and 12 can be added together in any order, and the sum
will always be the same.
C. The sum of 102 and 9 is the same as the sum of 9 and 102.
D. The product of 31 and 1/31 equals 1. - ANS (D) The property of reciprocals
states that any number (a) multiplied by 1 divided by that number (1/a) equals 1.
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 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 fencing are needed?
A. 1320 feet
B. 148 feet
C. 144 feet
D. 132 feet - ANS (C) This problem is asking for perimeter. The formula for
perimeter of a rectangle is 2L + 2W or 2(44) + 2(30) = 148; however, the size of the
gate (4 feet) must be subtracted 148-4 = 144.
A certain kind of bacteria moves very 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?
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