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Fractions
Math
Grade 6 Math
Middle School Math

 

Name _____________________________
Date ___________________
Number Theory
Classify each number as prime or composite.
1.         85
Prime
Composite
2.         24
Prime
Composite
3.         19
Prime
Composite
4.   * This is a pre-made sheet.
Use the link at the top of the page for a printable page.
5.         10
Prime
Composite
6.         4
Prime
Composite
7.         83
Prime
Composite
8.         94
Prime
Composite

Complete each divisibility table. Write yes if the number is divisible by the given number. Write no if it is not divisible by the given number.
9.         480
by 4  ________
by 7  ________
by 8  ________
by 9  ________
by 10  ________
10.         378
by 3  ________
by 5  ________
by 6  ________
by 7  ________
by 10  ________
11.         7,441
by 2  ________
by 3  ________
by 5  ________
by 8  ________
by 10  ________
12.         1,733
by 2  ________
by 3  ________
by 4  ________
by 6  ________
by 11  ________

Use the clue to fill in the missing digit.
13.   The number 1150 is divisible by 15.
14.   The number 406 is divisible by 8.
15.   The number 154 is divisible by 14.
16.   The number 1 is divisible by 7.
17.   The number 94 is divisible by 19.
18.   The number 65 is divisible by 5.
19.   The number 409 is divisible by 17.
20.   The number 04 is divisible by 4.

List all of the factors of each number.
21.   23

22.   36

23.   12

24.   56

25.   79

26.   31

27.   42

28.   29

29.   99

30.   34

31.   39

32.   95


 

Key #2
Find the prime factorization of each number.
33.   32

34.   64

35.   11

36.   72

37.   96

38.   70

39.   39

40.   65

41.   82

42.   20

43.   89

44.   22


Find the greatest common factor of each set of numbers.
45.   45 and 95

46.   60 and 48

47.   82 and 20

48.   52 and 64

49.   50, 30, and 35

50.   59 and 57

51.   7, 84, and 21

52.   36 and 45

53.   10 and 90


Find the least common multiple.
54.   2 and 10

55.   7 and 9

56.   6, 9, and 18

57.   6 and 12

58.   6 and 15

59.   6, 18, and 42

60.   4 and 10

61.   13 and 22

62.   5 and 9


Complete.
63.   Identify a number that is divisible by 8, 6, 4, 16, and 12, which is not divisible by 18, 7, 9, 5, and 15. Describe how you found the number.

64.   A strange signal sequence has been detected by radio astronomers. They have recorded a signal consisting of an alternating series of ones and negative ones {1, -1, 1, -1, 1, -1,}. Scientists want to understand the meaning of this signal. They look for patterns. The first term of the sequence is 1. What will the 341th term be? How do you know? Describe a rule to figure out the answer for the xth number.


 


Answer Key


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Fractions
Math
Grade 6 Math
Middle School Math