# LET Reviewer for GENERAL EDUCATION (MATHEMATICS)

LET Reviewer in General Education LET Reviewer for General Education
PRACTICE TEST FOR GENERAL EDUCATION
MATHEMATICS

1. If the price of round-trip fare to Malolos, Bulacan is P285, how much will it cost a family of four if the husband pays full fare, the wife pays ⅔ of full fare, and the two children each pay ½ of the regular price?
A. P 475
B. P 570
C. P 760
D. P 1140

2. What number subtracted from each of 71 and 58 will result in two perfect squares?
A. 22
B. 33
C. 35
D. 42

3. Jessica has 6 red t-shirts and 9 yellow t-shirts. If she picks one t-shirt at random, what is the probability that it will not be yellow?
A. 2/5
B. 9/15
C. 2/3
D. 3/15

4. The simplest expression for (2^40)/(4^20) is _____________.
A. 1
B. 4
C. (½)^20
D. 2^20

5. What percent of 4 is 3/5 of 8?
A. 48 %
B. 80 %
C. 83 1/3 %
D. 120 %

6. Three times the first of three consecutive odd integers is 3 more than twice the third. Find the third integer.
A. 9
B. 13
C. 11
D. 15

7. Which of the following is/are TRUE?
I. x^3 - y^3 = (x – y)(x^2 + y^2)
II. (5x – 2y)(5x – 2y) = 25x^2 – 20xy + 4y^2
III. x^2 + y^2 = (x + y)(x + y)

A. I only
B. I and III
C. II only
D. I and II

8. How many members of Set A are factors of any members of Set B?
SET A = {0,1,2,3,4,5}
SET B = {1,2,7,9,10}

A. 6
B. 5
C. 4
D. 3

9. A meter stick was cut into two pieces at the 64-cm mark. What is the ratio of the smaller piece to the largest piece?
A. 9:16
B. 16:25
C. 13:50
D. 9:25

10. The product of 2 whole numbers is 36, and their ratio is 1:4. Which of these is the smaller number?
A. 9
B. 3
C. 2
D. 12

11. Find, in feet, the amount of framing needed to frame a picture 8 ½ inches by 11 inches?
A. 3 ¼ ft
B. 2 ¼ ft
C. 4 ¼ ft
D. 5 ¼ ft

12. If a certain job can be finished by 18 workers in 26 days, how many workers are needed to finish the job in 12 days?
A. 24
B. 30
C. 39
D. 45

13. Which of these weights is heaviest?
A. 2250 g
B. 2.5 kg
C. 4200 mg
D. 5 pounds

14. A certain pole cast a shadow 24 feet long. At the same time another pole 3 feet high casts a shadow 4 feet long. How high is the first pole, given that the heights & shadows are in proportion?
A. 24 ft
B. 21 ft
C. 18 ft
D. 20 ft

15. What is the median of the following numbers 8, 5, 7, 5, 9, 9, 1, 8, and 10?
A. 5
B. 7
C. 8
D. 9

16. Which is the 10th term of the progression -8, -4, -2, ..., ___?
A. 1/66
B. 1/65
C. 1/63
D. 1/64

17. Two buses leave the same station at 9:00 pm. One bus travels north at the rate of 30 kph and the other travels east at 40 kph. How many kilometers apart are the buses at 10 pm?
A. 50 km
B. 70 km
C. 100 km
D. 140 km

18. A park has a triangular shape. It has a base of 12m and a height of 9m. What is its area?
A. 122 m^2
B. 108 m^2
C. 42 m^2
D. 54 m^2

19. Joel repacks a 60 kg sack of sugar into small packs of 750g. How many small packs can be made?
A. 90
B. 45
C. 75
D. 80

20. What is the value of (12 1/6) - (2 3/8) - (7 2/3) + (19 3/4)?
A. 21
B. 21 1/8
C. 21 7/8
D. 22

21. An employee earning P9,200 a month will receive a 15% increase next month. How much will his/her new salary be?
A. P10,500
B. P10,530
C. P10,530
D. P10,560

22. What is 3 m +.28 dm when converted to centimeters?
A. 480
B. 580
C. 4800
D. 5800

23. What is the smallest positive integer that has 6, 8 and 10 as factors?
A. 300
B. 240
C. 80
D. 120

24. If dosage of medicine is ⅔ milliliter, how many dosages can be given from a bottle containing 20 milliliters?
A. 13⅓
B. 19⅓
C. 20
D. 30

25. A box is 12 inches wide, 16 inches long and 6 inches high. How many square inches of paper would be needed to cover it on all sides?
A. 192 sq. in.
B. 900 sq. in.
C. 360 sq. in.
D. 720 sq. in.

26. If x^2 is odd, which of these statements is true?
I. x is odd
II. x^2 is odd
III. x^2 + 1 is odd

A. I and III only
B. I and II only
C. I only
D. II only

27. What are the missing terms in the series 5, 10, 20 _____, 80, ____320?
A. 40, 160
B. 40, 120
C. 50, 120
D. 35, 135

28. Michael is 15 years older than his brother Rafael. However, y years ago Michael was twice as old as Rafael. If Rafael is now x years old and x > y, find the value of x-y.
A. 13
B. 14
C. 15
D. 16

29. Which of the following sets of numbers can be sides of a right triangle?
A. 4, 5, 6
B. 6, 6, 2, 3
C. 3, 6, 3
D. 2, 2, 3

30. Which of the following could be a factor of n (n+1) if n is a positive integer less than 3?
A. 3
B. 5
C. 8
D. 9

31. In a certain school, the ratio of boys to girls is 3 to 7. If there are 150 boys and girls in the school, how many boys are there?
A. 45
B. 105
C. 75
D. 90

32. In one senior class, ⅓ of the students are honor students. Of these honor students, 2/7 are varsity athletes. If there are four athletes in the class, how many students are there in the class?
A. 42
B. 52
C. 60
D. 84

33. If the variance of distribution is 25, then the standard deviation is ________.
A. 12.5
B. 30
C. 625
D. 5

34. How long will it take P10,000 to grow to P12,000 if it is invested at 9% compounded monthly?
A. 25 months
B. 18 months
C. 20 months
D. 15 months

35. The school cafeteria raised the price of a plate of rice from P8 to P10. If the same rate of increase was applied to a regular order of viand which used to cost P20, how much does an order of viand cost now?
A. P 22
B. P 24
C. P 25
D. P 26

36. A 737-model plane has 29 rows with 5 seats per row, except for the last three rows which had 3 seats each. What is the seating capacity of the plane?
A. 144
B. 145
C. 142
D. 139

37. The perimeter of an isosceles triangle is 42 in. The 2 equal sides are each 3 times as long as the third side. What are the lengths of these sides?
A. 18,21,3
B. 21,21,21
C. 6,6,8
D. 18,18,6

38. Julie spent one-sixth of her money in one store. In the next store, she spent three times as much as she spent in the first store, and had 80 pesos left. How much money did she have at the start?
A. P 240
B. P 252
C. P 300
D. P 360

39. How many ounces of pure acid must be added to 20 ounces of a solution that is 5% acid to strengthen it to a solution that is 24% acid?
A. 5
B. 6
C. 10
D. 2 1/2

40. If 50% of x is 20, what is 30% of x?
A. 30
B. 12
C. 20
D. 16

41. Kath’s grades in three math quizzes are 82, 78, 86. What grade should get in her next quiz to raise her average to 85?
A. 94
B. 90
C. 88
D. 87

42. P8,000 is invested at 12% simple interest. What is the amount at the end of 2 years?
A. P 8,960
B. P 8,240
C. P 9,600
D. P 9,920

43. Anthony has 5 action figures. In how many ways can he arrange the figures in his shelf?
A. 20
B. 25
C. 100
D. 120

44. Which of these numbers is greater than 1/4?
A. .04
B. (1/2)^2
C. 1/8
D. 1/0.04

45. A senior class of 50 girls and 70 boys sponsored a dance. If 40% of the girls and 50% of the boys attended the dance approximately what percent attended?
A. 44
B. 46
C. 42
D. 40

46. Give the factors of 2x^3 + 9x^2 + 9x
A. x(2x – 3)(x + 3)
B. x(2x + 3)(x + 3)
C. x(3x – 2)(x + 3)
D. x(2x + 3)(x – 3)

47. Joseph has more money than Mila but less than Billy. If the amounts held by Joseph, Mila and Billy are x, y and z respectively, which of the following is TRUE?
A. Z < X < Y
B. X < Z < Y
C. Y < X < Z
D. Y < Z < X

48. If x =-5, what is the value of (x^2 - 9)/(x + 3)?
A. -8
B. -6
C. 5
D. 7

49. What percent is 3/4 of 5/6?
A. 65%
B. 90%
C. 80%
D. 75%

50. A man started painting a wall at 9:00 AM and was able to finish painting 3/5 of it at 10:30 AM. Continuing at this rate, at what time will he finish painting the wall?
A. 11:35 AM
B. 11:30 AM
C. 12:30 AM
D. 12:15 AM