[ LET 44 ] 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 smallest prime number?

A) 2
B) 3
C) 5
D) 7

2. What is the greatest common divisor (GCD) of 28 and 42?

A) 14
B) 6
C) 21
D) 28

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

A) 15
B) 20
C) 25
D) 30

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

A) 28
B) 20
C) 28
D) 30

5. What is the next prime number after 11?

A) 12
B) 13
C) 14
D) 15

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

A) 10
B) 20
C) 15
D) 12

7. Which number is neither prime nor composite?

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

8. What is the value of 7 squared?

A) 42
B) 49
C) 56
D) 64

9. How many positive divisors does the number 12 have?

A) 4
B) 5
C) 6
D) 7

10. What is the prime factorization of 60?

A) 2 × 3 × 5
B) 2² × 3 × 5
C) 2 × 3² × 5
D) 2 × 3 × 2 × 5

11. What is the sum of all prime numbers less than 10?

A) 15
B) 17
C) 18
D) 20

12. What is the number of primes between 1 and 50?

A) 12
B) 15
C) 15
D) 18

13. Which of the following numbers is a twin prime?

A) 4 and 5
B) 11 and 13
C) 17 and 19
D) 29 and 31

14. What is the least integer that is a multiple of both 6 and 8?

A) 18
B) 24
C) 30
D) 36

15. What is the Euler's Totient Function value of 9?

A) 6
B) 4
C) 2
D) 3

16. How many prime numbers are there between 1 and 100?

A) 25
B) 30
C) 28
D) 22

17. What is the product of the first four prime numbers?

A) 210
B) 200
C) 250
D) 280

18. Which of the following numbers is a Carmichael number?

A) 561
B) 1105
C) 1729
D) 2047

19. Which of the following is the largest prime factor of 56?

A) 2
B) 7
C) 4
D) 14

20. What is the sum of the digits of 123456789?

A) 34
B) 45
C) 36
D) 40

21. What is the smallest perfect number?

A) 12
B) 28
C) 6
D) 496

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

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

23. What is the prime factorization of 30?

A) 2 × 5 × 3
B) 3 × 5 × 2
C) 2 × 3 × 5
D) 2 × 2 × 7

24. What is the largest prime number less than 20?

A) 17
B) 19
C) 13
D) 16

25. Which of the following is an example of a composite number?

A) 11
B) 13
C) 10
D) 7

26. What is the result of 10 mod 3?

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

27. What is the largest perfect square less than 100?

A) 81
B) 64
C) 100
D) 36

28. How many distinct prime factors does 60 have?

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

29. What is the value of 2 raised to the power of 10?

A) 1024
B) 512
C) 256
D) 2048

30. Which of the following numbers is a prime cube?

A) 27
B) 64
C) 8
D) 125

31. What is the greatest common divisor (GCD) of 48 and 18?

A) 9
B) 6
C) 12
D) 8

32. What is the least common multiple (LCM) of 4 and 6?

A) 12
B) 24
C) 36
D) 48

33. What is the remainder when 23 is divided by 4?

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

34. Which of the following is a prime number?

A) 21
B) 19
C) 9
D) 15

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

A) 5040
B) 720
C) 40320
D) 100

36. What is the smallest prime number greater than 50?

A) 53
B) 51
C) 52
D) 59

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

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

38. How many sides does a hexagon have?

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

39. What is the 10th Fibonacci number?

A) 55
B) 34
C) 45
D) 21

40. What is the smallest odd prime number?

A) 3
B) 2
C) 5
D) 7

41. Which of the following is a perfect square?

A) 18
B) 21
C) 16
D) 24

42. What is the next prime number after 7?

A) 9
B) 11
C) 13
D) 17

43. Which of the following is an example of a prime number?

A) 2
B) 9
C) 8
D) 4

44. What is the least common multiple (LCM) of 3 and 5?

A) 15
B) 30
C) 20
D) 10

45. How many prime numbers are there between 10 and 50?

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

46. What is the square root of 144?

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

47. Which of the following is an even number?

A) 2
B) 7
C) 9
D) 15

48. How many degrees are in a right angle?

A) 90 degrees
B) 180 degrees
C) 45 degrees
D) 360 degrees

49. What is the prime factorization of 60?

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

50. What is the area of a circle with a radius of 7?

A) 49π
B) 14π
C) 21π
D) 7π

Result

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