GED Mathematical Reasoning Practice Test 2 PDF

# GED Mathematical Reasoning ## Practice Test 2 ### Part 1 (Non-Calculator) - 5 questions - Total time for two parts (Non-Calculator, and Calculator parts): 115 Minutes - You may NOT use a calculator on this part. ### Part 2 (Calculator) - 41 questions - Total time for two parts (Non-Calculator,...

# GED Mathematical Reasoning ## Practice Test 2 ### Part 1 (Non-Calculator) - 5 questions - Total time for two parts (Non-Calculator, and Calculator parts): 115 Minutes - You may NOT use a calculator on this part. ### Part 2 (Calculator) - 41 questions - Total time for two parts (Non-Calculator, and Calculator parts): 115 Minutes - You may use a calculator on this part. ### Question 1 A rectangular swimming pool measures 25 feet by 50 feet. If there are approximately 0.3048 meters in 1 foot, which measurement is closest to the area of the pool in square meters? - A. 99.2m² - B. 106.15m² - C. 116.13m² - D. 133.32m² ### Question 2 John has completed 18 out of 25 problems in his physics homework. What percentage of the problems has John not yet completed? - A. 46% - B. 33% - C. 28% - D. 17% ### Question 3 Anna bought 12.9 gallons of juice. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of juice Anna bought? - A. 24.6L - B. 49.02L - C. 52.08L - D. 142L ### Question 4 If 3/7 of a tank contains 168 liters of water, what is the capacity of six such tanks of water? - A. 840 - B. 1,260 - C. 1,933 - D. 2,352 ### Question 5 The area of a circle is 36π. What is the diameter of the circle? - A. 4 - B. 8 - C. 12 - D. 16 ### Question 6 Which set of ordered pairs represents y as a function of x? - A. {(0,0), (5, 1), (-7.5, 3), (-7.5, -3)} - B. {(8,-1), (9, -2), (-9, -2), (10, -3)} - C. {(5.3,-1), (7.3, -2), (7.3, 2), (5.3, 1)} - D. {(8.1, 9), (2.1, 10), (7.1, 9), (2.1, 8)} ### Question 7 What is the slope of the linear function represented by the graph that passes through the points (-5, 3) and (4,9)? - A. -1/2 - B. -2/3 - C. 3/2 - D. 3 ### Question 8 A rectangular prism has dimensions of height 12 inches, width 6 inches, and length 10 inches. What is the total surface area of the prism in square inches? (Answer should be written in a box) ### Question 9 Sarah deposited $2,000 into two different savings accounts. Account A earns 3.5% simple interest per year and account B earns 3.5% interest compounded annually. If she does not make any additional deposits or withdrawals, what is the difference between the interest earned by account A and account B after 3 years? - A. $1.50 - B. $7.44 - C. $20.78 - D. $23.10 ### Question 10 The graph of line L represents y = 2x – 3. If the slope of line L is multiplied by -3 to create line M, which statement about the graphs of the two lines is true? - A. Line M intersects line L. - B. Line M is parallel to line L. - C. Line M is 9 units above line L. - D. Line M is 9 units below line L. ### Question 11 There are four places on the grid below: - G: Game store - F: Fire Station - B: Bank - H: Hospital **Which place on the grid appears to be located at (2,-3)?** - A. Fire Station - B. Game store - C. Bank - D. Hospital ### Question 12 What is the volume of the following cylinder? - A. 1,139.82 m³ - B. 310.86 m³ - C. 207.24 m³ - D. 103.62 m³ ### Question 13 What is the value of the expression 8 × 3.2? (Answer should be written in a box) ### Question 14 Graph the equation y = 2.5x - 1? - A. (Graph A) - B. (Graph B) - C. (Graph C) - D. (Graph D) ### Question 15 The area of a circle is less than 144π square inches. What could be the diameter of the circle? (Choose one or more possible options) - A. 26 in - B. 24 in - C. 36 in - D. 18 in - E. 16 in ### Question 16 Jason needs an 75% average in his writing class to pass. On his first 4 exams, he earned scores of 68%, 72%, 85%, and 90%. What is the minimum score Jason can earn on his fifth and final test to pass? (Answer should be written in a box) ### Question 17 A movie theater charges an entrance fee of $12.00 and $1.50 per ticket. Another movie theater charges an entrance fee of $8.00 and $2.00 per ticket. How many tickets must be purchased in order for the total cost at both theaters to be the same? - A. 2 - B. 8 - C. 15 - D. 16 ### Question 18 Two groups of students went to a theme park on the same day. - Group A bought 8 tickets and received a $96 discount. - Group B bought 4 tickets and received a $48 discount. - Both groups spent the same total amount of money on tickets. Given that the price of each ticket was the same. What was the cost of each ticket? - A. $12 - B. $8 - C. $6 - D. $4 ### Question 19 The two lines graphed on the coordinate grid each represent an equation. **Which ordered pair represents a solution to both equations?** - A. (-1,4) - B. (-5,4) - C. (-4,5) - D. (-6.5,0) ### Question 20 Triangle ABC is rotated 180° about the origin to form triangle A'B'C'. Which statement is NOT true? - A. The sum of the angle measures of triangle ABC is equal to the sum of the angle measures of triangle A'B'C'. - B. The angle measures of triangle ABC are greater than the corresponding angle measures of triangle A'B'C'. - C. Triangle ABC is congruent to triangle A'B'C'. - D. The area of triangle ABC is equal to the area of triangle A'B'C'. ### Question 21 Which of the following situations can be represented by the equation 6x + 20 = 10x? - A. Mia can knit 6 scarves per week, while Zoe can knit 10 scarves per week. How many weeks, x, would it take for Mia and Zoe to have knitted the same number of scarves? - B. Mia bought a new car and paid a deposit of $20. She then paid $10 per day to rent a parking lot. Zoe paid $6 per day to rent a parking lot. How many days, x, would it take for Mia and Zoe to pay the same amount of money? - C. Mia can run 6 laps per hour, while Zoe can run 10 laps per hour. Mia has already ran 20 laps. How many hours, x, would it take for Mia and Zoe to have run the same number of laps? - D. Mia can earn $10 per hour by tutoring. Zoe can earn $20 per hour by tutoring. Mia already has $6. How many hours, x, would Mia and Zoe need to tutor for them to have earned the same amount of money? ### Question 22 Which of the following graphs represents the compound inequality -hicx - 2< 4? - A. (Graph A) - B. (Graph B) - C. (Graph C) - D. (Graph D) ### Question 23 A ramp is in the shape of a right triangle. We know the lengths of two of its sides in meters. What is the length of the ramp in meters? - A. 25 - B. 14 - C. 13 - D. 12 ### Question 24 At a store, 8 notebooks cost $16. Each notebook has the same cost. Write an equation that represents the cost of each notebook at this store. (Answer should be written in a box) ### Question 25 Which graph best represents the solution set of x < 3 - 2y? - A. (Graph A) - B. (Graph B) - C. (Graph C) - D. (Graph D) ### Question 26 The mean of six numbers is 35. If a seventh number that exceeds 75 is added, then, which of the following could be the new average? (Select one or more appropriate choices) - A. 35 - B. 38 - C. 40 - D. 42 - E. 45 ### Question 27 Jasmine works as a delivery driver for a company. Each month she is paid the same salary. She is also paid extra money for the number of deliveries she makes each month. - In January Jasmine made 80 deliveries and was paid a total of $2,150.00. - In February Jasmine made 112 deliveries and was paid a total of $2,950.00. Which function can be used to find y, the total amount she is paid in a month if she makes x deliveries? - A. y = 150x - B. y = 25x - C. y = 25x + 150 - D. y = 150x + 25 ### Question 28 A researcher observed that as the amount of fruit consumed by children increased, the duration of cold treatment in children decreased. Which scatterplot could support this researcher's observation? - A. (Scatterplot A) - B. (Scatterplot B) - C. (Scatterplot C) - D. (Scatterplot D) ### Question 29 John's parents invested $4,000 in a savings account with a 5.25% annual simple interest rate. They did not make any additional deposits or withdrawals. What is the interest earned on the account at the end of 10 years? - A. $21,000 - B. $2,100 - C. $210 - D. $21 ### Question 30 In a chemical solution that contains 15% salt, there are 60g of salt. What is the weight of the solution? - A. 200g - B. 300g - C. 400g - D. 500g ### Question 31 Given the sphere below, which measurement is closest to the volume of the sphere in cubic centimeters? - A. 11,488.2cm³ - B. 22,976cm³ - C. 91,905.7cm³ - D. 45,952.9cm³ (Diagram showing the volume of the sphere needs to be included here, which I can't do.) ### Question 32 Which equation represents the function that passes through the points (-1,-1) and (2,4)? - A. y = -x + - B. y = - C. y = -x + - D. y = x + ### Question 33 A student solved the equation x² = 200 to find the length of the diagonal of a square in centimeters. Which measurement is closest to x, the length of the diagonal of this square, in centimeters? - A. 14.14in - B. 19.8in - C. 20in - D. 200in ### Question 34 Find the value of x that satisfies the equation -9x + 6 = -3x – 6. - A. -2 - B. -1 - C. 1 - D. 2 ### Question 35 On the number line, two numbers are shown. Which value is located between these two numbers on the number line? - A. - B. √18 - C. π - D. ### Question 36 Which graph represents y as a function of x? - A. (Graph A) - B. (Graph B) - C. (Graph C) - D. (Graph D) ### Question 37 Which equation is true when x = 2? - A. 2x + 4 =8 - B. 4x - 6 = 10 - C. 5x + 3 = 14 - D. 3x + 7 = 16 ### Question 38 Find the value of x according to the following model. - A. x = - B. x = - C. x = - D. x = ### Question 39 The price of a laptop is $648 plus 5% sales tax. What is the sales tax on this laptop in dollars and cents? (Answer should be written in a box) ### Question 40 Jenny needs a $3,000 loan in order to buy a motorcycle. Which loan option would allow her to pay the least amount of interest? - A. A 12-month loan with a 5.00% annual simple interest rate - B. A 18-month loan with a 4.75% annual simple interest rate - C. A 24-month loan with a 4.50% annual simple interest rate - D. A 36-month loan with a 4.25% annual simple interest rate ### Question 41 The following triangles are similar. Which proportion can be used to calculate the length of the side DE? - A. - B. - C. - D. ### Question 42 Tom has $800 in his savings account and he deposits $25 each week for x weeks. Rachel also opens a savings account with $0 and deposits $30 each week for x weeks. Which inequality represents the situation when the amount of money in Tom's account is greater than the amount of money in Rachel's account? - A. $25x < $30x - $800 - B. $25x > $800 + $30x - C. $30x > $25x - $800 - D. $30x < $800 + $25x ### Question 43 In the figure below, the radius of the small circle is 5cm and the diameter of the big circle is 20cm. What is the area of the shaded part? - A. 25πcm - B. 75πcm - C. 100πcm - D. 125πcm ### Question 44 The area of a circle is less than 36 square meters. What could be the circumference of the circle? (Choose one or more suitable options) - A. 6π m - B. 10π m - C. 14π m - D. 28π m - E. 36π m ### Question 45 John and Dean both work for a company. John's starting salary is $35,000 per year and he will receive a salary increase of $2,000 per year. Dean's starting salary is $45,000 per year and he will receive a salary increase of $1,500 per year. Find the number of years it will take for John's salary to be equal to Dean's salary. - A. 5 years - B. 10 years - C. 15 years - D. 20 years ### Question 46 A bag is filled with numbered cards from 1 to 15 and one is picked out at random. What is the probability that the card picked is number 8? - A. - B. - C. 2/15 - D. 1/15 *** **End of GED Mathematical Reasoning Practice Test 2.**