FTCE General Knowledge Test (GK) (828): Mathematics Subtest Practice & Study Guide Final Exam

Free Practice Test Instructions:

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!

Question 1 1.

What is the solution for following equation?


4x + 5 = 21

Question 2 2.

What are the solutions for x in the following equation?


3 × (5 - x) + (x + 2)2 = -6x + 7

Question 3 3. After watching a movie together at the cinema, Shaun and Bruce have decided to race to their respective homes to see who arrives first. The distance from the cinema to Bruce's house, 1 mile, is 1/4 of a mile shorter than the distance to Shaun's house. Shaun can run 4 miles per hour, which is twice as fast as Bruce. How much time will it take for Bruce to run home?

Question 4 4. What is the simplification of the following expression: -4 × (1/2x - 3/2) / (x - 3)

Question 5 5. A packaging technician is using calipers to measure the thickness of sheets of his packaging paper stock. The first sheet had a thickness of 0.048 millimeters, the second sheet 1.017 millimeters, the third sheet 1.03 millimeters, and the fourth sheet 0.0099 millimeters. Which sheet had the greatest thickness?

Question 6 6. Given the following expression: 3 × 2(12 + 4)2 / 4, which mathematical operation should be performed first to arrive at the correct answer?

Question 7 7. A fleet of four trucks must be filled with gasoline to prepare for the next day's deliveries. Each truck has a capacity of 20 gallons of gas. The fuel gauges on the four trucks indicate that they are 1/4 full, 1/8 full, 1/2 full, and 5/8 full, respectively. How much gasoline must be purchased to fill all four trucks?

Question 8 8. The Smallville police department compiled data on the number of traffic tickets they issued in 2017 per day of the week, as depicted in the following graph. Based on this data, on which day of the week is it least likely for Smallville's drivers to receive a traffic ticket?

Question 9 9. Two blue balls, five red balls, seven green balls, three black balls, and three yellow balls are in a bin inside a toy store. A customer wishes to obtain 1 ball from the bin. What is the probability that the customer will select either a blue or a yellow ball from the bin?

Question 10 10. A survey was conducted at a local mall in which 150 people were asked to identify their favorite brand of pizza. The results of the survey are presented in the table below. What is the relative frequency in which Dominos was selected as the favorite pizza?

Question 11 11. Fred is a student in a Social Studies class. In order for Fred to receive a C grade for the semester, he must score higher than an 80 on the final exam (out of a possible 1 to 100 score). What is the probability that Fred will NOT receive a C in the course?

Question 12 12. Tony's goal is to spend no more than 15% of his salary at fast-food restaurants. Last month Tony spent $300 on fast food. What is the minimum amount Tony's monthly salary must be if he met this goal?

Question 13 13. A farmer wishes to buy fencing to surround a 2-acre rectangular lot. If the length of one side of the lot (side 1) is 240 feet, how much fencing will he need to purchase?

Question 14 14. The surface area of a spherical children's ball is 16π centimeters. What is the volume of the ball?

Question 15 15. An architect drafted a scale drawing of a building on a 1:500 scale for his client. If the width of the model is 70 centimeters, what is the proposed width for the actual building?

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FTCE General Knowledge Test (GK) (828): Mathematics Subtest Practice & Study Guide Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!

FTCE General Knowledge Test (GK) (828): Mathematics Subtest Practice & Study Guide  /  FTCE Courses
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