HESI A2 ENTRANCE MATH EXAM QUESTIONS & ANSWERS 2024 UPDATE

HESI A2 ENTRANCE MATH EXAM QUESTIONS & ANSWERS 2024 UPDATE 1. Question: Solve for x: 3x + 7 = 16 A) x = 3 B) x = 4 C) x = 5 D) x = 6 2. Question: What is the value of 5² - 3²? A) 4 B) 6 C) 16 D) 10 3. Question: If a triangle has angles measuring 30°, 60°, and 90°, what type of triangle is it? A) Equilateral B) Isosceles C) Scalene D) Right 4. Question: What is 20% of 80? A) 16 B) 32 C) 64 D) 160 5. Question: If a rectangle has a length of 8 units and a width of 4 units, what is its perimeter? A) 12 units B) 16 units C) 24 units D) 32 units 7. Question: Solve for y: 2y - 5 = 11 A) y = 3 B) y = 8 C) y = 10 D) y = 9 8. Question: What is the square root of 144? A) 12 B) 14 C) 16 D) 18 9. Question: A car travels at a speed of 60 miles per hour. How far will it travel in 3 hours? A) 120 miles B) 150 miles C) 180 miles D) 200 miles 10. Question: If 2x + 5 = 17, what is the value of x? A) 6 B) 7 C) 8 D) 9 11. Question: What is 25% of 200? A) 25 B) 50 C) 75 D) 100 12. Question: Solve for x: 4(x + 3) = 32 A) x = 4 B) x = 5 C) x = 6 D) x = 7 13. Question: A rectangle has a length of 10 inches and a width of 6 inches. What is its area? A) 36 square inches B) 48 square inches C) 56 square inches D) 60 square inches 14. Question: If a box contains 12 red balls and 8 blue balls, what is the probability of picking a red ball? A) 40% B) 50% C) 60% D) 70% 15. Question: If 3x - 4 = 8, what is the value of x? A) x = 4 B) x = 6 C) x = 7 D) x = 8 16. Question: What is the perimeter of a square with sides measuring 5 inches each? A) 15 inches B) 20 inches C) 25 inches D) 30 inches 17. Question: Simplify: 2(3x - 5) + 4x A) 10x - 10 B) 10x - 2 C) 6x - 2 D) 6x - 10 18. Question: If a triangle has sides measuring 3 cm, 4 cm, and 5 cm, what type of triangle is it? A) Equilateral B) Isosceles C) Scalene D) Right 19. Question: What is 30% of 150? A) 30 B) 45 C) 50 D) 60 20. Question: Solve for y: 3y + 8 = 20 A) y = 4 B) y = 6 C) y = 7 D) y = 9 21. Question: What is the volume of a cube with edges measuring 4 inches each? A) 16 cubic inches B) 32 cubic inches C) 48 cubic inches D) 64 cubic inches 22. Question: If 4x + 7 = 31, what is the value of x? A) x = 6 B) x = 7 C) x = 8 D) x = 9 23. Question: What is the area of a triangle with base 6 units and height 8 units? A) 12 square units B) 24 square units C) 30 square units D) 48 square units 24. Question: If a bag contains 5 green marbles and 3 blue marbles, what is the probability of picking a blue marble? A) 20% B) 30% C) 40% D) 50% 25. Solve for x: 2x + 5 = 11 Answer: x = 3 26. Simplify: 4/7 * 14/21 Answer: 2/3 27. Find the perimeter of a rectangle with length 8 cm and width 5 cm. Answer: Perimeter = 2(8) + 2(5) = 26 cm 28. Solve the equation: 3(y - 4) = 15 Answer: y = 9 29. Evaluate: 5^2 - 3(4 + 2) Answer: 25 30. If a triangle has angles A, B, and C, and angle A = 40 degrees and angle B = 60 degrees, find angle C. Answer: Angle C = 80 degrees (sum of angles in a triangle is 180 degrees) 31. Solve for z: 2z/3 = 8 Answer: z = 12 32. Calculate the area of a circle with radius 6 cm. (Use π = 3.14) Answer: Area = πr^2 = 3.14 * 6^2 = 113.04 cm² 33. Solve the inequality: 2x + 7 < 15 Answer: x < 4 34. A box contains 24 red balls and 36 blue balls. What fraction of the balls are red? Answer: 24/(24 + 36) = 2/3 35. If 3x + 4 = 16, find the value of x. Answer: x = 4 36. Solve the proportion: 5/8 = y/16 Answer: y = 10 37. Find the volume of a rectangular prism with length 4 cm, width 6 cm, and height 3 cm. Answer: Volume = length * width * height = 4 * 6 * 3 = 72 cm³ 38. Simplify: (2/3)^3 Answer: 8/27 39. Solve for a: 2(a - 3) = 5 Answer: a = 4 40. If a square has a side length of 9 cm, what is its perimeter? Answer: Perimeter = 4 * side length = 4 * 9 = 36 cm 41. Solve the equation: 2y - 7 = 11 Answer: y = 9 42. Find the missing angle in a right-angled triangle if the other two angles are 30 degrees and 60 degrees. Answer: The missing angle is 90 degrees (sum of angles in a triangle is 180 degrees) 43. Simplify: 3/5 * 15/4 Answer: 9/4 44. If a car travels at a speed of 60 km/h for 3 hours, how far does it travel? Answer: Distance = speed * time = 60 * 3 = 180 km 45. Solve for x: 3x - 2 = 13 Answer: x = 5 46. Calculate the area of a triangle with base 8 cm and height 10 cm. Answer: Area = (1/2) * base * height = (1/2) * 8 * 10 = 40 cm² 47. Solve the inequality: 4y + 6 > 18 Answer: y > 3 48. Find the circumference of a circle with diameter 10 cm. (Use π = 3.14) Answer: Circumference = π * diameter = 3.14 * 10 = 31.4 cm 49. A recipe calls for 2 cups of flour to make 12 cookies. How many cups of flour are needed to make 36 cookies? Answer: 6 cups 50. If 2/5 of a number is 16, what is the number? Answer: The number is 40. 51. Solve for b: 4b/5 = 12 Answer: b = 15 52. Express 0.75 as a fraction in simplest form. Answer: 3/4 53. Find the surface area of a cube with a side length of 3 cm. Answer: Surface Area = 6 * side length^2 = 6 * 3^2 = 54 cm² 54. Solve the equation: 5a - 8 = 7 Answer: a = 3 55. Simplify: 6/9 Answer: 2/3 56. If the perimeter of a square is 20 cm, what is the length of one side? Answer: Side length = Perimeter/4 = 20/4 = 5 cm 57. Solve for x: 2(x + 3) = 14 Answer: x = 5 58. Calculate the area of a trapezoid with bases 5 cm and 8 cm, and height 6 cm. Answer: Area = (1/2) * (base1 + base2) * height = (1/2) * (5 + 8) * 6 = 39 cm² 59. Solve the inequality: 3z - 7 < 11 Answer: z < 6 60. A rectangular garden has a length of 12 meters and a width of 8 meters. What is the area of the garden? Answer: Area = length * width = 12 * 8 = 96 m² Bonus quizzes 1. What is 25% of 80? a) 20 b) 40 c) 60 d) 100 Correct Answer: a) 20 2. Solve for x: 2x + 5 = 15 a) x = 5 b) x = 10 c) x = 15 d) x = 20 Correct Answer: b) x = 5 3. If a rectangle has a length of 10 inches and a width of 5 inches, what is its area? a) 15 square inches b) 25 square inches c) 50 square inches d) 100 square inches Correct Answer: b) 25 square inches 4. What is the square root of 64? a) 4 b) 8 c) 16 d) 64 Correct Answer: b) 8 5. If a shirt originally costs $40 and is discounted by 20%, what is the discounted price? a) $8 b) $32 c) $36 d) $44 Correct Answer: c) $36 6. Solve the equation for x: 3x - 7 = 17 a) x = 6 b) x = 8 c) x = 10 d) x = 12 Correct Answer: b) x = 8 7. What is 3/4 written as a decimal? a) 0.25 b) 0.50 c) 0.75 d) 1.00 Correct Answer: c) 0.75 8. If 8 cookies cost $4, how much would 12 cookies cost? a) $3 b) $6 c) $8 d) $12 Correct Answer: b) $6 9. What is 20% of 150? a) 15 b) 20 c) 30 d) 40 Correct Answer: c) 30 10. Solve for x: 2(x + 3) = 16 a) x = 4 b) x = 5 c) x = 6 d) x = 7 Correct Answer: c) x = 5 11. What is the perimeter of a rectangle with length 12 inches and width 8 inches? a) 16 inches b) 20 inches c) 24 inches d) 32 inches Correct Answer: c) 40 inches 12. If a car travels 240 miles in 4 hours, what is its average speed? a) 40 mph b) 60 mph c) 80 mph d) 120 mph Correct Answer: b) 60 mph 13. What is 3/5 as a percentage? a) 30% b) 40% c) 50% d) 60% Correct Answer: d) 60% 14. Solve for x: 3x - 5 = 7 a) x = 4 b) x = 5 c) x = 6 d) x = 7 Correct Answer: c) x = 4 15. If a pizza has 8 slices and 2/4 of it is eaten, how many slices are left? a) 2 b) 4 c) 6 d) 8 Correct Answer: c) 6 16. What is 0.75 written as a fraction in simplest form? a) 3/4 b) 4/5 c) 5/6 d) 6/7 Correct Answer: a) 3/4 17. If a triangle has a base of 6 inches and a height of 8 inches, what is its area? a) 12 square inches b) 24 square inches c) 32 square inches d) 48 square inches Correct Answer: b) 24 square inches 18. Solve for x: 4x + 10 = 30 a) x = 5 b) x = 10 c) x = 15 d) x = 20 Correct Answer: a) x = 5 19. What is 0.3% written as a decimal? a) 0.003 b) 0.03 c) 0.3 d) 3 Correct Answer: b) 0.03 20. A box contains 24 chocolates. If 1/3 of the chocolates are eaten, how many chocolates are left? a) 8 b) 12 c) 16 d) 20 Correct Answer: b) 16 21. What is the volume of a cube with side length 4 inches? a) 8 cubic inches b) 16 cubic inches c) 32 cubic inches d) 64 cubic inches Correct Answer: b) 64 cubic inches 22. If a shirt costs $20 and is on sale for 25% off, what is the sale price? a) $5 b) $10 c) $15 d) $20 Correct Answer: c) $15 23. Solve for x: 2x - 3 = 9 a) x = 3 b) x = 6 c) x = 9 d) x = 12 Correct Answer: b) x = 6