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The FTCE Math 6-12 (026) exam has 50 questions and runs 2 hours 30 minutes.
These 10 free FTCE Math 6-12 (026) questions are organized by exam domain, so you can see how each part of the FTCE Mathematics 6-12 (026) blueprint is tested. Reveal the answer and explanation under each question.
A retailer increases the price of an item by 25%. When the item does not sell, the retailer discounts the new price by 25%. Compared with the original price, the final price is:
Correct answer: A - 6.25% less than the original price
A chemist has 30 milliliters of a 20% acid solution. How many milliliters of a 50% acid solution must be added to produce a mixture that is 30% acid?
Correct answer: B - 15 milliliters
The graph of g(x) = f(x + 4) - 3 is obtained from the graph of f by which sequence of transformations?
Correct answer: D - A shift 4 units left and 3 units down
Which of the following represents the solution set of |2x - 5| > 9?
Correct answer: A - x < -2 or x > 7
A conical paper cup has a diameter of 6 centimeters and a height of 10 centimeters. What is its volume, to the nearest cubic centimeter?
Correct answer: A - 94 cubic centimeters
Two similar cylindrical storage tanks have volumes in the ratio 27 : 64. What is the ratio of their surface areas?
Correct answer: C - 9 : 16
Home prices in a neighborhood have a mean of $410,000 and a median of $325,000. Which conclusion is best supported by these values?
Correct answer: B - The distribution is skewed right, and the median better represents a typical price
At a high school, 120 students were surveyed. Of the 70 students who take a world language, 45 also play a school sport. Of the 50 students who do not take a world language, 20 play a school sport. If a surveyed student who plays a school sport is selected at random, what is the probability that the student takes a world language?
Correct answer: C - 45/65
If f(x) = (2x^3 - 5)^4, what is f'(x)?
Correct answer: D - 24x^2(2x^3 - 5)^3
A student simplifies sqrt(x^2 + 16) as x + 4. This error most likely reflects a misconception about:
Correct answer: A - Applying an operation distributively across addition
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