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FTCE Math 6-12 Practice
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Avg score: 5% Most missed: “Simplify .”

FTCE Math 6-12 Test: Florida teacher certificate candidates are required to pass this test which covers mathematics for grades 6-12.

There are 75 multiple-choice questions, broken up into graphic, direct question, sentence completion, command, word problem, and selection items.

The FTCE Math 6-12 exam has ten competencies:

Algebra (13%)
Advanced Algebra (12%)
Functions (8%)
Geometry (15%)
Coordinate Geometry (6%)
Trigonometry (7%)
Statistics and Probability (10%)
Calculus (9%)
Mathematical Reasoning (5%)
Instruction and Assessment (15%)

FTCE Math 6-12 Practice
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25 Questions

1. Simplify .
2. The vertices of a polygon are  and  Which of the following describes the polygon most specifically?
3. Which of the following is true
4. Suppose the path of a baseball hit straight up from three feet above the ground is modeled by the first quadrant graph of the function
, where  is the flight time of the ball in seconds and  is the height of the ball in feet. What is the velocity of the ball two seconds after it is hit
5. Approximate the area  under the curve by using a Riemann sum with .
6. To the nearest hundredth, what is the area in square units under the curve  on [1,2]
7. Which of these represents the equation of a sphere which is centered in the -space at the point (1, 0, -2) and which has a volume of 36π cubic units?
8. Which of these does NOT simulate randomly selecting a student from a group of 11 students
9. Which of these statements is NOT necessarily true when
10. A circle is inscribed inside quadrilateral ABCD.
 is bisected by the point at which it is tangent to the circle. If  then
11. If  and  are inverse functions, which of these is the value of  when
12. Which of these would best illustrate change over time
13. Solve .
14. Identify the cross-section polygon formed by a plane containing the given points on the cube. 
15. Calculate .
16. In order to analyze the real estate market for two different zip codes within the city, a realtor examines the most recent 100 home sales in each zip code. She considered a house which sold within the first month of its listing to have a market time of one month; likewise, she considered a house to have a market time of two months if it sold after having been on the market for one month but by the end of the second month. Using this definition of market time, she determined the frequency of sales by number of months on the market. The results are displayed below. Which of the following is a true statement for these data?

17. For , what is ?
18. Which of these is the equation graphed below?
19. Which of these is the least biased sampling technique
20. Which of these is equivalent to  if
21. Line segment  has endpoints  and  If  is the translation of  along a diagonal line such that  is located at point  what is the area of quadrilateral ?
22. Which of these is a major contribution of the Babylonian civilization to the historical development of mathematics
23. A teacher wishes to divide her class of twenty students into four groups, each of which will have three boys and two girls. How many possible groups can she form
24. Solve .
25. Solve  for .