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MATH MODULE SERIES 1 1.Which of the following quadratic equations will have two real and distinct roots? a. 6x2-5x + 4 = 0 b. 9x2-6x + 1 = 0 c. 6x2-61x +143 = 0 d. x2-22x + 121 = 0 2. Radicals can be added if they have the same radicand and the same a. coefficient b. b. exponent c. power d. order 3. Drawing a card from a deck of cards is called a. an event b. an outcome c. a trial d. an experiment 4. The set of integers does not satisfy the closure property under the operation of a. addition b. subtraction c. multiplication d. division 5. A number which can be expressed as the quotient of two integers is a. rational b. irrational c. natural d. prime 6. All board reviewees are not more than 25 years old. This statement implies that they are: a. less than 25 years old b. at least 25 years old

c. 25 years old or less d. 25 years old or more 7. The roots of the equation 6x2 – 61x + 143 = 0 are a. real and distinct b. real and equal c. complex and distinct d. complex and unequal 8. A set of elements that is taken without regard to the order in which the elements are arranged is called a: a. permutation b. combination c. progression d. probability 9. If the value of the discriminant of a quadratic equation is 1.25, then the roots of the equation are: a. real and equal b. real and unequal c. complex and unequal d. imaginary and distinct 10. Find the value of k that will make x2 – 28x +k a perfect square trinomial. a. 196 b. 169 c. 144 d. 121 11. In how many ways can a picture be painted by using two or more of 7 different colors? a. 120 b. 110 c. 128 d. 131 12. What is the probability of getting a number “4” thrice in five tosses of a die?

a. 0.0232 b. 0.0322 c. 0.3220 d. 0.2330 13. In how many ways can 8 persons be seated at a round table if a certain 2 are to sit next to each other? a. 1, 440 b. 1,008 c. 4, 140 d. 5, 040 14. If x:y:z =4: - 3:2 and 2x+4y-3z = 20, find the value of x. a. 6 b. –4 c. –8 d. 7 15. At a Math Contest, the judges eliminate 1/3 of the contestants after each half hour. If 81 contestants were present at the start, how many would be left after 2 hours? a. 18 b. 12 c. 16 d. 10 16. Getting an odd number by throwing a die is called: a. an experiment b. an outcome c. an event d. a trail 17. Two prime numbers, which differ by two, are called prime twins. Which of the following pairs of numbers are prime twins? a. (1,3)

b. (7,9) c. (13,15) d. (17,19) 18. The probability of A’s winning a game against B is 1/3. What is the probability that A will win at least two of a total of 3 games? a. 7/27 b. 8/27 c. 19/278 d. 15/27 19. The probability of drawing a black jack and an ace is succession from a deck of 52 cards a. 0.0003 b. 0.003 c. 0.003 d. none of the above 20. If P(n+1, 4) = 2P(n, 4) a. 4 b. –7 c. 10 d. 7 21. What is probability of getting the number “1” thrice when a die is tossed 5 times? a. 0.0233 b. 0.0223 c. 0.0355 d. 0.0322 22. In how many ways can 7 boys be seated in a row so that 3 boys are always seated together? a. 720 b. 360 c. 144 d. 270

23. Find the 100th term of the sequence 1.01, 1.00, 0.99, a. 0.02 b. 0.03 c. 0.04 d. 0.05 24. What is the probability of obtaining at least 4 tails when a coin is tossed five times? a. 0.1857 b. 0.1758 c. 0.1785 d. 0.1875 25. Mr. Diaz can finish a job in 9hrs. After working for 5 hrs, he decided to take a rest. Mr. Torres helped Mr. Diaz finished the job in 2 hrs and 20 minutes. How long would it take Mr. Torres to do the job alone? a. 3 hrs and 5 min b. 4 hrs and 10 min c. 5 hrs and 15 min d. 6 hrs and 20 min 26. Find 2 numbers whose sum is 12 and the sum of their squares is 74. a. 3 and 9 b. 4 and 8 c. 6 and 6 d. 7 and 5 27. Two jeepney start at the same point but are going in different directions. If jeepney A runs at the rate of 60 km/hr and jeepney B at 50 km/hr and both start at the same time, when will the two jeepney be 550 km apart? a. 4 hrs b. 5 hrs

c. 6 hrs d. 7 hrs 28. A man and a boy can dig a trench in 20 days. It would take the boy 9 days longer to dig it alone than it would take the man. How long would it take the boy to dig it alone? a. 54 days b. 45 days c. 35 days d. 36 days 29. The roots of the equation 2x2 – 3x + 20 = 0 are a. real and equal b. real and unequal c. complex and equal d. complex and unequal 30. If x3+3x2+(5+k)x+2-k is divided by x+1 and the remainder is 3, then the value of k is a. –5 b. –3 c. –2 d. –4 31. What is the sum of the prime numbers between 1 and 15? a. 38 b. 41 c. 39 d. 42 32. The sum of the integers that are exactly divisible by 15 between 288 and 887 is a. 21, 810 b. 22, 815 c. 23, 805 d. 23, 700

33. If 16 is 4 more than 3x, find the value of 2x-5. a. 5 b. 4 c. 3 d. 2 34. The 20th term of the progression 1, 4, 7, 10, .is a. 56 b. 57 c. 58 d. 59 35. Which of the following quadratic trinomial is NOT factorable? a. 6x2 + 5x - 4 b. 6x2 - 7x - 343 c. 6x2 - 52x - 60 d. 6x2 – 61 x + 143 36. The value of k for which the roots of 8x2+8kx+3k+2 = 0 are real and equal is a. 3 b. 1 c. 2 d. 4 37. If the radius of a circle is diminished by 20%, then its area is diminished by a. 25% b. 46% c. 52% d. 36% 38. Which of the following is an irrational number? a. 1.363636…. b. (16)3/4 c. 35 d. 0.75

39. Which of the following numbers is not a prime number. a. 2 b. 5 c. 9 d. 7 40. If i2=-1, then i7-i6+i5= a. i b. –I c. 1 d. –1 41. The degree of the polynomial f(x, y, z) = 7x3y2-4xz5+2x2y is a. 5 b. 6 c. 3 d. 4 42. Two sisters are 14 and 21 years old respectively. In how many years will the ratio of their ages be 3:4? a. 9 b. 8 c. 7 d. 6 43. If (n+3)! / (n+1)! = 20, find n. a. 3 b. 4 c. 5 d. 2 44. If x:6 = y:2 and x – y = 12, find y. a. 8 b. 2 c. 4 d. 6 45. Car A runs 30 km/hr less than Car B. Car A covers 250 km in the same time car B travels 400 km. Find the rate of each.

a. 50 km/hr and 80 kms/hr b. 60 kms/hr and 90 kms/hr c. 70 kms/hr and 100 kms/hr d. 809 kms/hr and 110 kms/hr 46. What is the probability of obtaining at least 4 heads when a coin is tossed 5 times? a. 0.1857 b. 0.1758 c. 09.1785 d. 0.1875 47. 2(2n+2)/2n+1-2n = a. 2 b. 4 c. 8 d. 16 48. The product of two irrational numbers is a. always irrational b. sometimes irrational c. never irrational d. rational 49. The least common multiple of (x-2)2 and x2+x-6 is a. x-2 b. (x-2)3(x+3) c. (x-2)2(x+3) d. (x+3)3 50. The length of a rectangle is increased by 50%. By what percent would the width have to be decreased to maintain the same area? a. 33 1/3 b. 50 c. 66 2/3 d. 150

ANSWERS FOR MATH MODULE SERIES 1

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34.

C, 6X2-61X+143 = 0 D, order D, an experiment D, division B, irrational C, 25 years old or less A, real and distinct B, combination B, real and unequal A, 196 A, 120 B, 0.0322 A, 1,440 C, -8 C, 16 C, an event D, (17, 19) A. 7/27 C, 0.003 D, 7 D, 0.0322 A, 720 A, 0.02 D, 0.1875 C, 5 hrs and 15 min D, 7 and 5 B, 5 hrs B, 45 days D, complex and unequal C, -2 B, 41 D, 23, 700 C, 3 C, 58

35. C, 6x2-52x-60 36. C, 2 37. D, 36% 38. C, 35 39. C, 9 40. B, -I 41. C, 3 42. D, 6 43. D, 2 44. D, 6 45. A, 50kms/hr and 80 kms/hr 46. D, 0.1875 47. C, 8 48. B, sometimes irrational 49. C, (x-2)2(x+3) 50. A, 33 1/3

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c. 25 years old or less d. 25 years old or more 7. The roots of the equation 6x2 – 61x + 143 = 0 are a. real and distinct b. real and equal c. complex and distinct d. complex and unequal 8. A set of elements that is taken without regard to the order in which the elements are arranged is called a: a. permutation b. combination c. progression d. probability 9. If the value of the discriminant of a quadratic equation is 1.25, then the roots of the equation are: a. real and equal b. real and unequal c. complex and unequal d. imaginary and distinct 10. Find the value of k that will make x2 – 28x +k a perfect square trinomial. a. 196 b. 169 c. 144 d. 121 11. In how many ways can a picture be painted by using two or more of 7 different colors? a. 120 b. 110 c. 128 d. 131 12. What is the probability of getting a number “4” thrice in five tosses of a die?

a. 0.0232 b. 0.0322 c. 0.3220 d. 0.2330 13. In how many ways can 8 persons be seated at a round table if a certain 2 are to sit next to each other? a. 1, 440 b. 1,008 c. 4, 140 d. 5, 040 14. If x:y:z =4: - 3:2 and 2x+4y-3z = 20, find the value of x. a. 6 b. –4 c. –8 d. 7 15. At a Math Contest, the judges eliminate 1/3 of the contestants after each half hour. If 81 contestants were present at the start, how many would be left after 2 hours? a. 18 b. 12 c. 16 d. 10 16. Getting an odd number by throwing a die is called: a. an experiment b. an outcome c. an event d. a trail 17. Two prime numbers, which differ by two, are called prime twins. Which of the following pairs of numbers are prime twins? a. (1,3)

b. (7,9) c. (13,15) d. (17,19) 18. The probability of A’s winning a game against B is 1/3. What is the probability that A will win at least two of a total of 3 games? a. 7/27 b. 8/27 c. 19/278 d. 15/27 19. The probability of drawing a black jack and an ace is succession from a deck of 52 cards a. 0.0003 b. 0.003 c. 0.003 d. none of the above 20. If P(n+1, 4) = 2P(n, 4) a. 4 b. –7 c. 10 d. 7 21. What is probability of getting the number “1” thrice when a die is tossed 5 times? a. 0.0233 b. 0.0223 c. 0.0355 d. 0.0322 22. In how many ways can 7 boys be seated in a row so that 3 boys are always seated together? a. 720 b. 360 c. 144 d. 270

23. Find the 100th term of the sequence 1.01, 1.00, 0.99, a. 0.02 b. 0.03 c. 0.04 d. 0.05 24. What is the probability of obtaining at least 4 tails when a coin is tossed five times? a. 0.1857 b. 0.1758 c. 0.1785 d. 0.1875 25. Mr. Diaz can finish a job in 9hrs. After working for 5 hrs, he decided to take a rest. Mr. Torres helped Mr. Diaz finished the job in 2 hrs and 20 minutes. How long would it take Mr. Torres to do the job alone? a. 3 hrs and 5 min b. 4 hrs and 10 min c. 5 hrs and 15 min d. 6 hrs and 20 min 26. Find 2 numbers whose sum is 12 and the sum of their squares is 74. a. 3 and 9 b. 4 and 8 c. 6 and 6 d. 7 and 5 27. Two jeepney start at the same point but are going in different directions. If jeepney A runs at the rate of 60 km/hr and jeepney B at 50 km/hr and both start at the same time, when will the two jeepney be 550 km apart? a. 4 hrs b. 5 hrs

c. 6 hrs d. 7 hrs 28. A man and a boy can dig a trench in 20 days. It would take the boy 9 days longer to dig it alone than it would take the man. How long would it take the boy to dig it alone? a. 54 days b. 45 days c. 35 days d. 36 days 29. The roots of the equation 2x2 – 3x + 20 = 0 are a. real and equal b. real and unequal c. complex and equal d. complex and unequal 30. If x3+3x2+(5+k)x+2-k is divided by x+1 and the remainder is 3, then the value of k is a. –5 b. –3 c. –2 d. –4 31. What is the sum of the prime numbers between 1 and 15? a. 38 b. 41 c. 39 d. 42 32. The sum of the integers that are exactly divisible by 15 between 288 and 887 is a. 21, 810 b. 22, 815 c. 23, 805 d. 23, 700

33. If 16 is 4 more than 3x, find the value of 2x-5. a. 5 b. 4 c. 3 d. 2 34. The 20th term of the progression 1, 4, 7, 10, .is a. 56 b. 57 c. 58 d. 59 35. Which of the following quadratic trinomial is NOT factorable? a. 6x2 + 5x - 4 b. 6x2 - 7x - 343 c. 6x2 - 52x - 60 d. 6x2 – 61 x + 143 36. The value of k for which the roots of 8x2+8kx+3k+2 = 0 are real and equal is a. 3 b. 1 c. 2 d. 4 37. If the radius of a circle is diminished by 20%, then its area is diminished by a. 25% b. 46% c. 52% d. 36% 38. Which of the following is an irrational number? a. 1.363636…. b. (16)3/4 c. 35 d. 0.75

39. Which of the following numbers is not a prime number. a. 2 b. 5 c. 9 d. 7 40. If i2=-1, then i7-i6+i5= a. i b. –I c. 1 d. –1 41. The degree of the polynomial f(x, y, z) = 7x3y2-4xz5+2x2y is a. 5 b. 6 c. 3 d. 4 42. Two sisters are 14 and 21 years old respectively. In how many years will the ratio of their ages be 3:4? a. 9 b. 8 c. 7 d. 6 43. If (n+3)! / (n+1)! = 20, find n. a. 3 b. 4 c. 5 d. 2 44. If x:6 = y:2 and x – y = 12, find y. a. 8 b. 2 c. 4 d. 6 45. Car A runs 30 km/hr less than Car B. Car A covers 250 km in the same time car B travels 400 km. Find the rate of each.

a. 50 km/hr and 80 kms/hr b. 60 kms/hr and 90 kms/hr c. 70 kms/hr and 100 kms/hr d. 809 kms/hr and 110 kms/hr 46. What is the probability of obtaining at least 4 heads when a coin is tossed 5 times? a. 0.1857 b. 0.1758 c. 09.1785 d. 0.1875 47. 2(2n+2)/2n+1-2n = a. 2 b. 4 c. 8 d. 16 48. The product of two irrational numbers is a. always irrational b. sometimes irrational c. never irrational d. rational 49. The least common multiple of (x-2)2 and x2+x-6 is a. x-2 b. (x-2)3(x+3) c. (x-2)2(x+3) d. (x+3)3 50. The length of a rectangle is increased by 50%. By what percent would the width have to be decreased to maintain the same area? a. 33 1/3 b. 50 c. 66 2/3 d. 150

ANSWERS FOR MATH MODULE SERIES 1

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34.

C, 6X2-61X+143 = 0 D, order D, an experiment D, division B, irrational C, 25 years old or less A, real and distinct B, combination B, real and unequal A, 196 A, 120 B, 0.0322 A, 1,440 C, -8 C, 16 C, an event D, (17, 19) A. 7/27 C, 0.003 D, 7 D, 0.0322 A, 720 A, 0.02 D, 0.1875 C, 5 hrs and 15 min D, 7 and 5 B, 5 hrs B, 45 days D, complex and unequal C, -2 B, 41 D, 23, 700 C, 3 C, 58

35. C, 6x2-52x-60 36. C, 2 37. D, 36% 38. C, 35 39. C, 9 40. B, -I 41. C, 3 42. D, 6 43. D, 2 44. D, 6 45. A, 50kms/hr and 80 kms/hr 46. D, 0.1875 47. C, 8 48. B, sometimes irrational 49. C, (x-2)2(x+3) 50. A, 33 1/3

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