LET Reviewer in General Education

LET Reviewer for General Education |

**PRACTICE TEST FOR GENERAL EDUCATION**

*MATHEMATICS*1. 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

2. What is the volume of a cube whose surface area is 54?

a. 54

b. 81

c. 27

d. 729

3. How many gallons of water will fill a fish tank that is 18 inches by 12 inches by 48 inches? (There are 231 cubic inches per gallon). Round your answer to the nearest gallon.

a. 45 gallons

b. 38 gallons

c. 47 gallons

d. 40 gallons

4. 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.

5. 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

6. Which of these weights is heaviest?

a. 2250 g

b. 2.5 kg

c. 4200 mg

d. 5 pounds

7. Which of the following is equal to 1000nm?

a. 1 mm

b. 1 cm

c. 1 µm

d. 1 dm

8. What is 3 m + 28 dm when converted to centimeters?

a. 480

b. 580

c. 4800

d. 5800

9. If a car travels 35 miles for every gallon of gasoline, how many kilometers will it travel for every liter of gasoline?

a. 14.9 km/L

b. 86.9 km/L

c. 9.26 km/L

d. 21.8 km/L

10. The readings on water meter in April and May are 417.8m3 and 430.4m3. If there is a basic charge of 23 pesos and the cost per m3 is 20 pesos, how much is the billing for water consumption between the two months?

a. P2,520

b. P272

c. P2,543

d. P275

11. The hypotenuse of a right triangle is 25 feet. If one leg is 24 feet, what is the length of the other leg?

a. 6 ft

b. 5 ft

c. 7 ft

d. 20 ft

12. What is the length of the diagonal BD of the rectangle pictured below?

b. 40

c. 30

d. 20

13. A rectangular lot is 5 meters wide and 12 meters long. How long is a path that cuts diagonally across the lot?

a. 13 meters

b. 15 meters

c. 17 meters

d. 7 meters

14. A dinner menu offers choices of 7 appetizers, 12 main dishes, and 6 desserts. How many ways can you choose one of each course?

a. 72

b. 504

c. 25

d. 84

15. How many four-digit numbers are there in which the tens digit is 8 and none of the digits is 9?

a. 210

b. 392

c. 504

d. 648

16. A certain bank issues 3-letter identification codes to its customers. If each letter can be used only once per code, how many different codes are possible?

a. 326

b. 78

c. 15,600

d. 17,576

17. Find the number of distinct permutations of the letters of the word ‘ANNUAL’.

a. 180

b. 270

c. 360

d. 720

18. In how many ways can 7 people seated around a circular table?

a. 49

b. 720

c. 5,040

d. 14

19. 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

20. A student has ten posters to pin up on the wall of her room, but there is space or only seven. In how many ways can she choose the posters to be pinned up?

a. 5040

b. 604,800

c. 120

d. 7

21. How many ways can a committee of 4 people be selected from a group of 7 people?

a. 35

b. 70

c. 140

d. 210

22. In a candy jar, there are 15 lemons, 12 chocolates, and 3 mints. If a candy is picked at random, what is the probability of not getting a mint?

a. 1/2

b. 9/10

c. 1/6

d. 1/10

23. If five fair coins are flipped, what is the probability that all five land on heads?

a. 1/32

b. 1/25

c. 1/5

d. 1/2

24. An integer between 100 and 999, inclusive, is chosen at random. What is the probability that all three digits of the number are different odd numbers?

a. 1/3

b. 1/15

c. 3/5

d. 1/10

25. A committee of 3 is to be selected from a group of 5 girls and 3 boys. What is the probability that two boys are selected?

a. 15/56

b. 8/56

c. 3/56

d. 5/56

26. What is the value of (16^(1/2))(16^(1/3))(16^(1/6))

a. 16^(1/36)

b. 2

c. 4

d. 16

27. The simplest expression for (2^40)/(4^20) is _____________.

a. 1

b. 4

c. (1/2)^20

d. 2^20

28. Which of the following is equivalent to 7^77 - 7^76?

a. 7^77 + 76

b. 7^77 – 76

c. 7^76 (6)

d. 7(77 -76)

29. Evaluate: 3^0 + 3^(-2) (3^4)

a. 82

b. 10

c. 9

d. 81

30. If 23x – 1 = 16, then x =

a. 1/3

b. 1/2

c. 1

d. 5/3

31. An online shop sells a certain calculator for P850 and charges P250 for shipping within Manila, regardless of the number of calculators ordered. Which of the following equations shows the total cost(y) of an order as a function of the number of calculators ordered (x)?

a. y= 850x + 250

b. x= 850y + 250

c. y= (850 + 250)x

d. y= 250x + 850

32. What is the domain of the function f(x) =((x-2)^3)/((x+2)^2)?

a. All real numbers.

b. {x | -2 < x < 2}

c. {x | x ≠ 2}

d. {x | x ≠ - 2}

33. What is the range of the function f(x) = √(x^2 - 4)?

a. All real numbers

b. All real numbers greater than or equal to 0.

c. All real numbers greater than or equal to 2.

d. All real numbers greater than or equal to 2 or less than or equal to -2

34. f(x) = -2x^2 – 3x, f(-5) =

a. -65

b. -35

c. 35

d. 85

35. If f(x) = x^2 – 5 and g(x) = x^2 + 5, what is the value of f(g(5))?

a. 50

b. 405

c. 600

d. 895

36. If f(x) = (4-3x)/2, then f^-1(x)=

a. (4-2x)/3

b. (2x-4)/3

c. (3x-4)/2

d. (2-3x)/4

37. Write the expression 4x^3 + x in factored form.

a. 4 (x^3 + 1)

b. 4x^2 (x + 1)

c. x (4x^2 + 1)

d. 4x (x^2 + 1)

38. 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

39. Which of the following is a factor of the equation x^2 – 2x – 24 = 0?

a. x – 4

b. x + 2

c. x + 4

d. x + 6

40. Write the following in factored form: 65y^3 – 35y^2 + 15y

a. 5 (13y^3 – 7y^2 + 3y)

b. 5 (13 – 7y^2 + 3y)

c. 5y (13y^2 – 7y + 3)

d. 5y (13 – 7y + 3)

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