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UPCAT, Mathematics, Practice Questions, , Set 1, , Directions: Choose the letter that corresponds to the correct answer., , 1. A scuba diver descends 80 feet, rises 25 feet, descends 12 feet, and then rises 52 feet where, he will do a safety stop for five minutes before surfacing. At what depth did he do his safety, stop?, A. -15, B. -14, C. 16, D. 14, , 𝑥, 2, , 2. Evaluate the algebraic expression 𝑦{( − 3) − 4𝑎} when, a=3, x=6, 1, y=, 2, , 𝑥, 2, 𝑥, 𝑦 {( −, 2, 𝑥, 𝑦 {( −, 2, 𝑥, , A. 𝑦 {( − 3) − 4𝑎} = −5, B., C., , 3) − 4𝑎} = −7, 3) − 4𝑎} = 5, , D. 𝑦 {( − 3) − 4𝑎} = −6, 2, , 3. If x is an even integer and y is an odd integer, which of the following must be an odd integer?, A. 2x + 2y, B. 2x – 2y, C. x + y + 1, D. x + y + 2, , 4. 35% of 15% of x is equivalent to which of the following?, A. 0.0525x, B. 0.125x, C. 0.25x, D. 0.525x, To get more UPCAT review, materials,, visit https://filipiknow.net/upcatreviewer/, , To God be the glory!

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Set 1, , UPCAT, Mathematics, Practice Questions, 5. If 60% of a number is 12, what is 165% of the same number?, A. 30, B. 31, C. 32, D. 33, , 4, 3, , 6. Solve the inequality × −5 > 𝑥 − 2., A. x > 3, B. x > 6, C. x > 9, D. x > 12, , 7. Solve this quadratic equation: 24x2 = 3(43x − 15)., 1, 3, 2, 8, , A. x = and x = 6, B. x = and x = -5, C. x = 3 and x =, 3, 8, , 1, 8, , D. x = and x = 5, , 8. The inequality corresponding to the statement: "the price is no less than 100 Dollars" is, A. x < 100, , B. x ≥ 100, , C. x ≤ 100, , D. x > 100, , 9. Which of these points DOES NOT lie on the graph of y = -x + 3?, A. (9,- 6), , B. (3,0), , C. (-2,5), , D. (2,2), , 10. Which of these relations DOES NOT represent a function?, A. {(2,3),(-4,3),(7,3)}, , B. {(0,0),(-1,-1),(2,2)}, , C. {(2,3),(-5,3),(2,7)}, , D. {(-1,3),(-5,3),(-9,0)}, , To get more UPCAT review, materials,, visit https://filipiknow.net/upcatreviewer/, , To God be the glory!

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UPCAT, Mathematics, Practice Questions, , Set 1, , 11. Which property is used to write:3(x y) = (3 x)y?, A. Commutative property of multiplication, , B. Multiplicative inverse property, , C. Distributive property, , D. Associative property of multiplication, , 12. Which of these values of x satisfies the inequality -7x + 6 ≤ -8, A. -2, , B. 0, , C. -7, , D. 2, , 13. The equation |-2x - 5| - 3 = k has no solution if k =, A. -5, , B. -3, , C. 7, , D. 0, , 14. If x > 0, which of the following must always be true?, I. √𝑥 < x, , II. x2 > x, , III. x2 > √𝑥, , A. I only, B. II only, C. III only, D. none of these, , 15. Find the value of k such that the quadratic equation 4x2 + 7x + 3 = 2k have equal roots., 3, 16, 5, B. 11, 2, C., 27, 1, , A., , D. -, , 32, , 16. What is the slope of the line containing (0,1) and (6,8)?, A., B., C., , 7, 6, 6, 7, 1, 2, , To get more UPCAT review, materials,, visit https://filipiknow.net/upcatreviewer/, , To God be the glory!

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Set 1, , UPCAT, Mathematics, Practice Questions, D. 2, , 17. If a = 3c − 4 and b = 2(3 − c) what is 3b expressed in terms of a?, A. 10 – 2a, B. 5 – 2a, C. 10 - a, D. 5 – a, , 18. Which of the following cannot yield an odd integer when divided by 10?, A. The sum of two odd integers., B. The product of two prime numbers., C. The product of two odd integers., D. The sum of three consecutive integers., , 19. The value of 2-|-2| is, A. 4, , B. 0.25, , C. -4, , D. -0.25, , 20. If f(x) = 4x3 - 4x2 + 10, then f(-2) =, A. 26, , B. -38, , C. 10, , D. 38, , 21. In which quadrant do the lines x = 3 and y = -4 intersect?, A. I, , B. II, , C. III, , D. IV, , 22. Solve the inequality 3(1 − 3x) ≥ −3 (x + 27), A. 3 ≥ x, B. 7, C. 14x, D. 14 ≥ x, , To get more UPCAT review, materials,, visit https://filipiknow.net/upcatreviewer/, , To God be the glory!

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Set 1, , UPCAT, Mathematics, Practice Questions, B. -2 < k < 2, C. k < - 2 or k > 2, D. – 2 ≤ k ≤ 2, , 29. A company’s profits increased by 12% from 2010 to 2011 and by 18% from 2011 to 2012., By what percent did the company’s profits increase from 2010 to 2012?, A. 37%, B. 54%, C. 12%, D. 32%, , 30. Solve for x: 92x + 5 = 81x + 1, A. - 4, B. 4, C. 1, D. no solution, , 31. What is the average of the solution set of the inequality |−2x + 4| < 6?, A. -2, B. -3, C. 2, D. 3, , 32. A number, x, is decreased by 40% then increased by 25%. What is the final result in terms, of x?, A. 0.55x, B. 0.65x, C. 0.7x, D. 0.75x, , 33. The expression (x + y) [z − (x − y)] is equivalent to which of the following?, A. xz – x2 + 2xy + y2, To get more UPCAT review, materials,, visit https://filipiknow.net/upcatreviewer/, , To God be the glory!

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UPCAT, Mathematics, Practice Questions, , Set 1, , A. 0, B. 3, C. 16, D. 20, , 39. What are the x-intercepts of the function ƒ(x) = x³ + 3x² − x − 3 ?, A. -3, -1, 1, B. -3, 0, 1, C. 0, 3, D. -3, 0, , 40. Give the simplest form of, , 𝑡𝑎𝑛2 ө−𝑠𝑖𝑛2 ө, 𝑡𝑎𝑛2 ө 𝑠𝑖𝑛2 ө, , A. 0, B. 1, C. - 1, D. tan ө, , 41. If a = −1 and b = 4, what is the difference between a3b + 3b and a3b + 3b0?, A. 5, B. -3, C. 9, D. 6, , 1, 3, , 1, 4, , 42. 4xyz * 2x2y2 * z3 * y2 * z, The equation above is equivalent to which of the following?, 1, 3, 2, B. x3y5z5, 3, 3, C. x2y2z2, 3, 3, D. x4y2z2, 4, , A. xy3z3, , To get more UPCAT review, materials,, visit https://filipiknow.net/upcatreviewer/, , To God be the glory!

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UPCAT, Mathematics, Practice Questions, , Set 1, , 43. What is the solution set of | 2(x – 1) – 15 | = 7?, A. { 5 }, B. { 12 }, C. { 5,12 }, D. { -5,12 }, , 44. Which of these is true for all real numbers x and y such that x > 0 and y < 0?, A. xy > 0, B. x + y > 0, C. x2 + y2 > 0, D. x – y < 0, , 45. The chart below shows the monthly profits of 3 companies. What is the total profit, generated by Store X and Store Z in the month of March?, , A. 120,000, B. 140,000, C. 180,000, To get more UPCAT review, materials,, visit https://filipiknow.net/upcatreviewer/, , To God be the glory!

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Set 1, , UPCAT, Mathematics, Practice Questions, D. 200,000, , 46. If h(x) = 3x + 4, what is h(2x − 3)?, A. -6X + 5, B. 6X – 5, C. 5X – 2, D. 5X + 2, , 47. If -1 < a < b < 0, then which of the following has the greatest value?, A. b – a, B. a + b, C. a – b, D. 2b – a, , To get more UPCAT review, materials,, visit https://filipiknow.net/upcatreviewer/, , To God be the glory!