[ LET 45 ] Board Licensure Examination for Professional Teachers REVIEWER - Mathematics

Professional Education.

Instructions:

Please answer each question to the best of your ability. Each question is multiple choice, and only one answer per question is correct. Select the most appropriate answer from the options provided. There are 50 questions in total.

When you have completed all questions, click the "Submit" button at the bottom of the page to see your score. Good luck!

1. What is the prime factorization of 84?

A) 2 x 3 x 14
B) 2 x 2 x 3 x 7
C) 2 x 42
D) 3 x 28

2. What is the greatest common divisor (GCD) of 36 and 60?

A) 12
B) 6
C) 18
D) 30

3. Which of the following numbers is a prime number?

A) 51
B) 77
C) 89
D) 100

4. What is the least common multiple (LCM) of 8 and 12?

A) 48
B) 24
C) 16
D) 36

5. What is the remainder when 37 is divided by 5?

A) 4
B) 2
C) 3
D) 1

6. Which of the following is not a prime number?

A) 5
B) 15
C) 23
D) 29

7. What is the smallest prime number greater than 10?

A) 11
B) 13
C) 12
D) 14

8. What is the sum of the first five prime numbers?

A) 28
B) 28
C) 25
D) 22

9. What is the prime factorization of 100?

A) 5 x 20
B) 2 x 2 x 5 x 5
C) 10 x 10
D) 4 x 25

10. Which of the following is an example of an irrational number?

A) √2
B) 3.14
C) 0.5
D) 4

11. How many prime numbers are there between 1 and 20?

A) 8
B) 7
C) 9
D) 10

12. What is the prime factorization of 36?

A) 2 x 2 x 3 x 3
B) 2 x 18
C) 3 x 12
D) 4 x 9

13. What is the least common multiple (LCM) of 15 and 25?

A) 50
B) 75
C) 100
D) 30

14. What is the GCD of 48 and 180?

A) 12
B) 24
C) 6
D) 36

15. How many positive divisors does the number 30 have?

A) 4
B) 8
C) 6
D) 10

16. What is the result of 2 raised to the power of 10?

A) 512
B) 1024
C) 256
D) 128

17. Which number is both a perfect square and a perfect cube?

A) 64
B) 36
C) 49
D) 81

18. What is the next prime number after 29?

A) 31
B) 30
C) 32
D) 33

19. What is the sum of the angles in a triangle?

A) 180 degrees
B) 360 degrees
C) 90 degrees
D) 270 degrees

20. What is the Fibonacci sequence's third term?

A) 2
B) 1
C) 3
D) 5

21. What is the greatest prime number less than 50?

A) 43
B) 47
C) 41
D) 37

22. How many zeros are at the end of the number 1000?

A) 2
B) 3
C) 4
D) 1

23. What is the sum of the first 10 natural numbers?

A) 45
B) 55
C) 60
D) 50

24. Which of the following numbers is divisible by 3?

A) 123
B) 124
C) 125
D) 126

25. What is the next number in the sequence: 2, 4, 8, 16, ...?

A) 32
B) 64
C) 48
D) 40

26. What is the value of 7! (7 factorial)?

A) 5040
B) 5040
C) 4200
D) 6000

27. How many prime numbers are there between 10 and 30?

A) 5
B) 7
C) 8
D) 6

28. Which of the following is a composite number?

A) 7
B) 13
C) 9
D) 19

29. What is the result of 15 mod 4?

A) 3
B) 1
C) 2
D) 0

30. What is the 20th term in the Fibonacci sequence?

A) 6765
B) 4181
C) 3778
D) 987

31. What is the sum of the digits of the number 2024?

A) 8
B) 7
C) 6
D) 5

32. How many edges does a cube have?

A) 10
B) 12
C) 8
D) 6

33. What is the square root of 144?

A) 12
B) 10
C) 14
D) 16

34. Which of the following is a prime number?

A) 17
B) 21
C) 27
D) 33

35. What is the product of the first five prime numbers?

A) 210
B) 2310
C) 120
D) 300

36. How many digits are in the number 1000?

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

37. What is the least common multiple (LCM) of 4 and 5?

A) 15
B) 20
C) 10
D) 25

38. What is the GCD (greatest common divisor) of 36 and 48?

A) 6
B) 12
C) 18
D) 24

39. What is the sum of the first 5 prime numbers?

A) 22
B) 28
C) 30
D) 26

40. Which of the following numbers is a perfect square?

A) 49
B) 50
C) 48
D) 51

41. What is the smallest prime number?

A) 2
B) 3
C) 1
D) 5

42. What is the largest two-digit prime number?

A) 97
B) 89
C) 91
D) 95

43. What is the 10th Fibonacci number?

A) 34
B) 55
C) 50
D) 21

44. What is the value of 8^2?

A) 64
B) 32
C) 80
D) 72

45. How many prime factors does 60 have?

A) 4
B) 3
C) 5
D) 2

46. What is 15% of 200?

A) 30
B) 25
C) 20
D) 35

47. What is the area of a rectangle with length 10 and width 5?

A) 50
B) 55
C) 60
D) 45

48. If a triangle has sides of length 3, 4, and 5, what is its area?

A) 6
B) 12
C) 9
D) 15

49. What is the perimeter of a rectangle with length 10 and width 5?

A) 30
B) 40
C) 20
D) 50

50. What is the volume of a cube with side length 3?

A) 27
B) 24
C) 30
D) 33

Result

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