Majorship LET Reviewer

LET Reviewer for Mathematics |

**PRACTICE TEST IN MATHEMATICS**

1. Which of the following is not an irrational number?

a. π

b. sqrt(π^2)

c. (π^3)/(π^3)

d. (π^0)/π

2. Simplify: 6 – {3 – 2 [5 – (– 10)] + 7}

a. - 16

b. 16

c. -14

d. 26

3. How many integers between 1 and 150 are divisible by both 4 and 5?

a. 7

b. 8

c. 9

d. 10

4. If x/2 – x/6 is an integer, which of the following statements is true?

a. x is a multiple of 6

b. x is even

c. x is a multiple of 3

d. x is odd

5. Which of the following is the smallest prime number greater than 200?

a. 214

b. 205

c. 201

d. 211

6. What is the sum of the prime factors of 140?

a. 9

b. 12

c. 14

d. 15

7. What is the greatest number that can divide 48, 12 and 32 without a denominator?

a. 2

b. 4

c. 3

d. 6

8. What is the smallest positive integer that has 6, 8 and 10 as factors?

a. 300

b. 240

c. 80

d. 120

9. What is the smallest number which can be exactly divided by 18, 27 and 15?

a. 900

b. 27

c. 270

d. 3

10. John and Bob are cycling on a track. Bob completes one lap every 12 seconds, and John completes one lap every 15 seconds. When will Bob lap John, assuming that they started together?

a. after 45 seconds

b. after 3 minutes

c. after 2 minutes

d. after 1 minute

11. ││-3│-│-4│-│-5││=

a. 2

b. 4

c. 6

d. 12

12. What is the sum of the product and quotient of -5 and 5?

a. -26

b. -24

c. -1

d. 0

13. What part of an hour has passed from 2:48 pm to 3:20 pm?

a. 7/8

b. 1/3

c. 8/15

d. 8/25

14. Which of the following numbers satisfies the inequality 2/3 < 1/x < 3/4?

a. 3/5

b. 5/3

c. 7/10

d. 10/7

15. Which of the following lists the numbers 3/8, 4/11, and 5/13 in increasing order?

a. 3/8, 4/11, 5/13

b. 4/11, 3/8, 5/13

c. 5/13, 4/11, 3/8

d. 4/11, 5/13, 3/8

16. What is the value of 12 1/6 - 2 3/8 - 7 2/3 + 19 3/4?

a. 21

b. 211/8

c. 217/8

d. 22

17. Mr. Jimenez owns a 10 1/2 hectare tract of land. He plans to subdivide this tract into 1/4 hectare lots. He must first set aside of the total land for roads. How many lots will this tract yield?

a. 32

b. 35

c. 42

d. 45

18. 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 1/2 of the regular price?

a. P 475

b. P 570

c. P 760

d. P 1140

19. A carpenter wanted three pieces of wood each 1 5/8 feet long. If he planned to cut them from a 6-foot piece of wood, how much of the piece would be left?

a. 4 7/8 ft

b. 1 1/8 ft

c. 4 5/8 ft

d. 3 ft

20. In one senior class, 1/3 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

21. 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

22. If dosage of medicine is 2/3 milliliter, how many dosages can be given from a bottle containing 20 milliliters?

a. 13 1/3

b. 19 1/3

c. 20

d. 30

23. What is the average of 1/2, 1/4, and 1/3?

a. 13/24

b. 13/29

c. 13/36

d. 13/27

24. A scale replica of a building is 18 inches tall. If the actual height of the building is 36 feet, then the scale used between the model and the actual building is 1 inch = __________.

a. 1.5 ft

b. 2 ft

c. 18 ft

d. 24 ft

25. 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

26. Four mangoes cost P29.00. At what price will 2 1/2 dozen mangoes cost?

a. P 217.50

b. P 188.50

c. P 348.50

d. P 870.00

27. If a car travels 96 miles on 8 liters of gas, how far can the car travel on a full tank of gas that holds 20 liters?

a. 230 miles

b. 235 miles

c. 240 miles

d. 245 miles

28. A recipe which is good for 4 persons calls for 2/3 cup of milk. How much milk will be needed by a recipe for 6 persons?

a. 1 cup

b. 2 cups

c. 4 cups

d. 8 cups

29. If a baseball player hits 10 home runs in the first 45 games, at the same rate how many home runs can he expect to hit during the 162-game season?

a. 38

b. 42

c. 36

d. 40

30. 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

31. 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

32. 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

33. If P75.00 is shared among three children in the ratio of 3:7:15. What is the size of the smallest share?

a. P 35

b. P 25

c. P 15

d. P 9

34. An artist ordered cans of red paint, white paint, and green paint in the ratio 2 : 4 : 6, respectively. If he ordered a total of 24 cans of paint, how many cans of white paint did he order?

a. 4

b. 8

c. 12

d. 16

35. Three brothers inherited a cash amount of P 120,000 and they divided it among themselves in the radio of 5:2:1. How much more is the largest share than smallest share?

a. P15,000

b. P30,000

c. P60,000

d. P75,000

36. What percent of 4 is 3/5 of 8?

a. 48%

b. 80%

c. 83 1/3 %

d. 120%

37. If 50% of x is 20, what is 30% of x?

a. 30

b. 12

c. 20

d. 16

38. What percent of P340.00 is P30.60?

a. 9%

b. 8%

c. 7%

d. 6%

39. What percent is 3/4 of 5/6?

a. 65%

b. 90%

c. 80%

d. 75%

40. If the area of one circle is twice of another circle, what is the ratio in percent, of the smaller to larger circle?

a. 25%

b. 50%

c. 70%

d. 75%

41. In a group of 250 students, 40 are freshmen. What percentage of the group are freshmen?

a. 15

b. 16

c. 30

d. 40

42. 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

43. Employees at Highwire Musictown get a 20% discount on all purchases. If Luis buys three tapes at P7.49 each, how much will he have to pay after his employee discount?

a. P 16.98

b. P 17.98

c. P 18.98

d. P 19.98

44. An employee earning P9,200 a month will receive a 15% increase next month. How much will his/her new salary be?

a. P 10,500

b. P 10,530

c. P 10,580

d. P 10,560

45. 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

46. A store reduced the price of a computer by 20% and sold it for P56,400. How much did the computer originally for?

a. P 60,400

b. P 65,000

c. P 70,500

d. P 72,500

47. How much interest would be paid on a bank loan of P30,000 for 8 months at 12% annual interest?

a. P 2,400

b. P 2,800

c. P 3,240

d. P 3,600

48. You buy a refrigerator for P12,800.00 and make a down payment of P2,500.00. If you finance the remainder at 8% annually for three years, how much will you actually pay for the refrigerator?

a. P 12,190.00

b. P 10,300.00

c. P 15,272.00

d. P 12,772.00

49. 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

50. 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

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