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Classify each of the following numbers as prime, composite or neither.

a) 28

b) 13

c) 171

d) 45

e) 2

f) 33

g) 240

h) 97

i) 5

j) 67

k) 0

l) 193


Answers

a) Composite

b) Prime

c) Composite

d) Composite

e) Prime

f) Composite

g) Composite

h) Prime

i) Prime

j) Prime

k) Neither prime nor composite

l) Prime

Write each of the following fractions in their lowest equivalent form (simplest form).

1) 57/159

2) 396/770

3) 322/1372

4) 58/435

5) 52/100

6) 2/26

7) 32/48

8) 17/85

9) 34/102

10) 27/36

11) 56/21

12) 350/45



Answers

1) 19/53
2) 18/35
3) 23/98
4) 2/15
5) 13/25
6) 1/13
7) 2/3
8) 1/5
9) 1/3
10) 3/4
11) 8/3
12) 70/9

What is the greatest common factor of

1) 57 and 159

2) 396 and 770

3) 1372 and 322

4) 435 and 58

5) 52 and 100

6) 26 and 2

7) 32 and 48

8) 85 and 17

9) 34 and 102

10) 27 and 36

11) 21 and 56

12) 45 and 350

13) 10, 50 and 130

14) 16, 64 and 36


Answers
1) 3
2) 22
3) 14
4) 29
5) 4
6) 2
7) 16
8) 17
9) 34
10) 9
11) 7
12) 5
13) 10
14) 4

What is the least common multiple (lowest common multiple) of

1) 15 and 60

2) 12 and 210

3) 9 and 14

4) 55 and 22

5) 4 and 98

6) 9 and 8

7) 9, 10 and 30

8) 2, 16, 14 and 56


Answers

1) 60

2) 420

3) 126

4) 110

5) 196

6) 72

7) 90

8) 112

Answer the following questions for each of the sequences below.

a) Is it an arithmetic sequence, a geometric sequence, or neither?
b) If it is an arithmetic sequence, what is the common difference? If it is a geometric sequence, what is the common ratio?
c) If it is an arithmetic or geometric sequence, what are the next three terms in the sequence?

1) 128, 64, 32, 16, 8, ...

2) -8, 4, 16, 28, 40, ...

3) 9, -6, 4, -2 2/3, 1 7/9, ...

4) 280, 140, 35, 5 5/6, 35/48, ...

5) 10, 10.3, 10.6, 10.9, 11.2, ...

6) -64, 32, -16, 8, -4, ...

7) 98, 84, 69, 53, 36, ...


Answers

1
a) This is a geometric sequence
b) The common ratio is 0.5
c) The next three terms in the sequence are 4, 2, 1.

2
a) Arithmetic
b) +12
c) 52, 64, 76.

3
a) Geometric
b) -2/3
c) -1 5/27, 64/81, -128/243.

4
a) Not an arithmetic or geometric sequence.

5
a) Arithmetic
b) +0.3
c) 11.5, 11.8, 12.1.

6
a) Geometric
b) -0.5
c) 2, -1, 0.5.

7
a) Not an arithmetic or geometric sequence.

Solve the following:

1) 3/11 divided by 66/9. Write the answer in simplest form.

2) 3/4 divided by 2/6. Write the answer as a mixed number.

3) 3/4 + 15/98. Write the answer in simplest form.

4) 7/9 - 1/8. Write the answer in simplest form.

5) 6 6/16 + 8 3/12. Write the answer as a mixed number.

6) -5/6 + 8/22. Write the answer in simplest form.

7) 2/17 x 3/6. Write the answer in simplest form.

8) -4/19 x -4/19. Write the answer in simplest form.

9) 4 1/7 x 13 13/20. Write the answer as a mixed number.

10) 14/23 + 19/23. Write the answer as a mixed number.

11) 7/9 + 9/10 + 28/30. Write the answer as a mixed number.




Answers

1) 9/242

2) 2 1/4

3) 177/196

4) 47/72

5) 14 5/8

6) -31/66

7) 1/17

8) 16/361

9) 56 11/20

10) 1 10/23

11) 2 11/18