GED Math Practice Test 1 PDF

## 10 Full Length GED Math Practice Tests ### Practice Test 1 #### Part 1 (Non-Calculator). 1. Right triangle ABC has two legs of lengths 9 cm (AB) and 12 cm (AC). What is the length of the third side (BC)? - A. 6 cm - B. 8 cm - C. 14 cm - D. 15 cm 2. Which of the following valu...

## 10 Full Length GED Math Practice Tests ### Practice Test 1 #### Part 1 (Non-Calculator). 1. Right triangle ABC has two legs of lengths 9 cm (AB) and 12 cm (AC). What is the length of the third side (BC)? - A. 6 cm - B. 8 cm - C. 14 cm - D. 15 cm 2. Which of the following values for x and y satisfy the following system of equations? - (x + 4y = 10 - (5x + 10y = 20 - A. x = 3, y = 2 - B. x = 2, y = −3 - C. x = −2, y = 3 - D. x = 3, y = −2 3. −18 + 6 × (−5) − [4 + 22 × (−4)] ÷ 2 + 8 =? Write your answer in the box below: 4. A car is accelerating from rest at a constant rate. The equation v = 5t + 2 can be used to represent this situation, where v is the velocity of the car in meters per second and t is the time elapsed in seconds. Which statement best describes the velocity of the car, given this equation? - A. From a starting velocity of 2 meters per second, the car is accelerating at a rate of 5 meters per second per second. - B. From a starting velocity of 2 meters per second, the car is decelerating at a rate of 5 meters per second per second. - C. From a starting velocity of 5 meters per second, the car is accelerating at a rate of 2 meters per second per second. - D. From a starting velocity of 5 meters per second, the car is decelerating at a rate of 2 meters per second per second. 5. If you are driving at an average speed of 70 miles per hour on a journey that is 490 miles long, how many hours will it take you to arrive at your destination? - A. 6 hours and 30 minutes - B. 7 hours - C. 7 hours and 30 minutes - D. 8 hours and 30 minutes #### Part 2 (Calculator) 6. A cylinder has a height of 12cm and a radius of 5cm. What is the volume of the cylinder in cubic centimeters? - A. 300 cm³ - B. 785 cm³ - C. 942 cm³ - D. 1,178 cm³ 7. Jacob wants to open a savings account with a deposit of $2,000. He will not make any additional deposits or withdrawals after he opens the account. His bank offers two different savings accounts: - Account A pays 3.5% simple annual interest. - Account B pays 4.1% interest compounded annually. Which statement about these accounts at the end of 4 years is true? - A. Account A would earn Jacob about $106 more interest than Account B. - B. Account B would earn Jacob about $106 more interest than Account A. - C. Account A would earn Jacob about $69 more interest than Account B. - D. Account B would earn Jacob about $69 more interest than Account A. 8. The cost of gas for a car varies directly with the distance driven. The cost of gas for driving 500 miles was $50. What was the cost of gas for driving 250 miles? - A. $12.50 - B. $25 - C. $50 - D. $75 9. The price of a laptop was decreased from $800.00 to $680.00. By what percentage was the price of the laptop decreased? - A. 12.5% - B. 13% - C. 15% - D. 17.5% 10. A linear function passes through the points of (3,2) and (−2, −4). What is the y-intercept of the graph of this function? - A. 8/5 - B. -2 - C. 5/8 - D. -1 11. The perimeter of a rectangular yard is 72 meters. What is its length if its width is twice its length? Write your answer in the box below: 12. A student found a cylinder-shaped stone with a height of 15 inches and a diameter of 8 inches. Which equation can be used to find V, the volume of the stone in cubic inches? - A. V = π(8)²(15) - B. V = π(4)²(15) - C. V = π(8)(15) - D. V = π(4)(15) 13. Which measurements could represent the side lengths in meters of a right triangle? - A. 5m, 12m, 13m - B. 8m, 8m, 8m - C. 2m, 2m, 10m - D. 1m, 3m, 5m 14. Mark's job is to drive a truck for a company. Each month he is paid the same salary. He is also paid extra money for the number of miles he drives the truck each month. - In June Mark drove 850 miles and was paid a total of $4,200.00. - In July Mark drove 1,200 miles and was paid a total of $5,075.00. Which function can be used to find y, the total amount he is paid in a month if he drives x miles? - A. y = 2.50x - B. y = 5.00x - C. y = 2.50x + 2,075 - D. y = 2,075x + 2.50 15. Angle A and Angle B are complementary angles. The measure of angle A is 35°. The measure of angle B is (6y – 11)°. Which equation can be used to find the value of y? - A. 35 + (6y – 11) = 90 - B. 35 = 6y – 11 - C. 35 + (6y – 11) = 180 - D. 35 + (6y – 11) = 360 16. The average weight of 20 girls in a class is 60kg and the average weight of 30 boys in the same class is 62kg. What the average weight of all the 50 students in that class? Write your answer in the box below. (Round your answer to the hundredth place.) 17. In the following parallelogram, find the value of x: - A. 40 - B. 45 - C. 50 - D. 55 18. A student traveled a distance of 78 miles in 156 minutes. Which function has a slope that best represents this rate? - A. y = 2x - B. y = 0.5x - C. y = x + 3 - D. $y =\frac{1}{3}x$ 19. A pizza is cut into 8 parts. William and his sister Ella ordered two pizzas. William ate 1/2 of his pizza and Ella ate 3/8 of her pizza. What part of the two pizzas was left? - A. 1/3 - B. 1/2 - C. 3/8 - D. 5/8 20. A fashion designer created a sketch of a dress using a scale in which 1 centimeter represents 2 inches. The actual length of the dress is 60 inches. What the length of the dress in the sketch, in centimeters? - A. 30 cm - B. 60 cm - C. 120 cm - D. 240 cm 21. Mount Kilimanjaro in Tanzania can be modeled as a cone with a diameter of 18 miles and a height of 3.6 miles. Which measurement is closest to the volume of Mount Kilimanjaro in cubic miles? - A. 183 mi³ - B. 305 mi³ - C. 509 mi³ - D. 813 mi³ 22. Which set of ordered pairs represents a function where y is a function of x? - A. {(4,7), (2,4), (1,2), (1,5)} - B. {(-7,2.9), (−15,5.9), (-15,8.9), (-7,11.9)} - C. {(11,5), (5,3),(12,4), (6,5)} - D. {(√1, -3), (√2, -4), (√1, −5), (√1, −7)} 23. The figure below consists of a triangle and a trapezoid. What is the area of the figure in square meters? - A. 120 - B. 200 - C. 211 - D. 271 24. Which loan option would result in the least amount of total interest paid by a customer who borrows $12,500 to buy a car? - A. A 4-year loan with a 6.2% annual simple interest rate - B. A 5-year loan with a 5.2% annual simple interest rate - C. A 6-year loan with a 4.7% annual simple interest rate - D. A 3-year loan with an 8.4% annual simple interest rate 25. The graph models the value of a car over a 12 -year period. Which equation best represents the relationship between x, the age of the car in years, and y, the value of the car in dollars over this 12-year period. - A. y = -0.004x + 11,000 - B. y = 250x + 8000 - C. y = -0.002x+ 11,000 - D. y = -250x + 11,000 26. The average of 13, 15, 20 and x is 25. What is the value of x? Write your answer in the box below. 27. A new washing machine comes packaged in a box shaped like a rectangular prism. The base of the box measures 3 feet by 6 feet. The total surface area of the box is 126 square feet. What is the height of the box in feet? - A. 3 ft - B. 4 ft - C. 5 ft - D. 6 ft 28. What value of x makes the following equation true? $ \frac{48}{6} = \frac{5}{x-1} $ - A. $ \frac{1}{8} $ - B. $ \frac{13}{4} $ - C. $ \frac{13}{24} $ - D. $ \frac{13}{24} $ 29. What are the slope and the y-intercept of the graph of the linear function shown on the grid? - A. Slope = 1/2 , y-intercept = 1/2 - B. Slope = -1/2 , y-intercept = 2 - C. Slope = 1/4 , y-intercept = 3 - D. Slope = -1/2 , y-intercept = -2.5 30. A fish tank currently contains 60 liters of water. The amount of water in the tank will increase at a constant rate of 3 liters per day. Which function can be used to find t, the total number of liters of water in the tank after d days? - A. t = 3d + 60 - B. t = −3d + 60 - C. t = 60d + 3 - D. t = −60d +3 31. The following numbers show the diagonal lengths of TV screens at a store in feet. Which TV screen has the smallest diagonal length in feet? - A. W - B. X - C. Y - D. Z 32. The area of a lake is 6,750,000 square meters. How is this number of square meters written in scientific notation? - A. 6.75 × 10⁶ - B. 6.75 × 10³ - C. 6.75 × 10⁻³ - D. 6.75 × 10⁻⁶ 33. Which of the following coordinates could belong to the points situated on the line 3x - y = 5? (Mark one or more feasible options) - A. (1,−2) - B. (2,4) - C. (2,1) - D. (-1,8) - E. (1,−5) 34. Find the value of x? (2)³ + (−3)² + 2x − 6 = 11 - A. 6 - B. 4 - C. 2 - D. 0 35. Which one is not true for the function g(x) = 3x² − 6x? - A. The axis of symmetry of the function g is x = 1. - B. The zeros are 0 and 2. - C. The correct factors of g are x and x − 2. - D. The axis of symmetry of the function g is y = −3. 36. In five successive hours, a car traveled 40km, 45km, 50km, 35km and 55km. In the next five hours, it traveled with an average speed of 50km per hour. Find the total distance the car traveled in 10 hours. - A. 425 km - B. 450 km - C. 475 km - D. 500 km 37. Which Venn diagram best represents the relationship between real number, rational number and integers? 38. The mean of seven numbers is 35. If an eighth number, which is greater than 50, is included, then what could be the possible new average? (Choose one or more suitable options) - A. 34 - B. 35 - C. 36 - D. 37 - E. 38 39. The perimeter of the trapezoid below is 40 cm. What is its area? Write your answer in the box below. 40. A company plans to ship 3,000 packages of toys. The company randomly selects 150 packages and finds that eight packages have a missing item. Based on this data, how many packages out of the 3,000 should be predicted to have a missing item? - A. 140 - B. 150 - C. 160 - D. 180 41. How many positive integers satisfy the inequality x + 5 < 21 - A. 10 - B. 12 - C. 14 - D. 15 42. According to the model, what value of x makes the equation true? 43. Follow the scatter plot, which conclusion is best supported by the scatterplot? - A. As the days pass in the exhibition, the sales coffee cups increase. - B. As the days pass in the exhibition, the sales coffee cups decrease. - C. As the days pass in the exhibition, the sales coffee cups remain the same. - D. There is no relationship between the days pass in the exhibition and the sold coffee cups. 44. In a jar, there are only green beads and yellow beads. The proportion of green beads to yellow beads is 3:4. What could be the overall number of beads in the jar? (Pick one or more appropriate options) - A. 304 - B. 420 - C. 510 - D. 603 - E. 700 45. Which point on the number line represent the values √6? 46. The expression of volume of the square pyramid is $ \frac{1}{3} (x^2)(9) $. Which square pyramid has a volume equal to the value of this expression? ## End of GED Mathematical Reasoning Practice Test 1.