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Worksheets

6th Grade Section 3 Review

Total questions: 76

Worksheet time: 4hrs 40mins

Name
Class
Date
1.
Is 5 prime or composite? 
a)
Prime
b)
Composite
2.
A prime number
a)
has one factor
b)
has more than 2 factors
c)
has 100 factors
d)
has exactly 2 factors: 1 and the number
3.
2 x 2 x 2 is the prime factorization of
a)
6
b)
12
c)
22
d)
8
4.

Use a factor tree to find the prime factorization of 105

a)

7x5x3

b)

11x5x3

c)

7x5x2x1

d)

7x5x3x2

5.

Use a factor tree to find the prime factorization of 32

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

6.

Use a factor tree to find the prime factorization of 72

a)

2x2x2x3x3

b)

4x3x3x2

c)

4x2x2x2x2

7.

Abigail had 21 cupcakes. She gave 1/3 to her older sister. How many did she have left?

a)

7

b)

3

c)

21

d)

14

8.

Joseph had covered 1/4 of his bike course and had ridden 5km. How far was the total distance of the race?

a)

1.25km

b)

20km

c)

5km

d)

16km

9.

Aidan had brought 1/2 of his 20 action figures to school. How many action figures had he left at home?

a)

5

b)

10

c)

15

d)

20

10.

Kara has 36 animals at home. Two sixths of them were sick. How many were sick?

a)

2

b)

26

c)

12

d)

6

e)

30

11.
  7  3/15  -  3  4/5
a)
3  1/5
b)
3  4/5
c)
3  2/5
d)
3  3/5
12.
   6  1/4  -  2  6/8
a)
3  1/2
b)
3  3/4
c)
4  1/2
d)
4  1/4
13.
 4  2/6  -  1  2/3
a)
1  2/3
b)
2  2/3
c)
3  2/3
d)
4  2/3
14.
4  1/3  -  1  2/3
a)
1  2/3
b)
3  2/3
c)
2  2/3
d)
4  2/3
15.
7  2/7  -  3  5/7=
a)
2  4/7
b)
3  4/7
c)
4  4/7
d)
3  2/7
16.
5  3/5  -  1  4/5
a)
3  4/5
b)
3  3/4
c)
3  3/5
d)
4 3/5
17.
Reduce:  6/15
a)
2/5
b)
3/5
c)
4/9
18.
Reduce the fraction:
15/30
a)
1/2
b)
5/10
c)
3/15
d)
3/15
19.
Reduce:
25/75
a)
5/25
b)
5/15
c)
1/3
d)
1/25
20.
Reduce:
7/56
a)
1/7
b)
7/56
c)
1/6
d)
1/8
21.
Simplify the fraction: 
15/12
a)
4/3
b)
5/4
c)
5/3
d)
3
22.
Find the product.  Then, simplify.
a)
10/18
b)
5/9
c)
10/6
d)
15/12
23.
Find the product.  Then, simplify.
a)
2/24
b)
3/24
c)
1/12
d)
3/16
24.
What is 3/5 of 12/15
a)
36/15
b)
12/20
c)
12/25
d)
36/25
25.
Find the product.  Then, simplify.
a)
3/7
b)
2 1/4
c)
160/360
d)
4/9
26.
Change 5  3/4 into an improper fraction
a)
23/4
b)
4/23
c)
20/4
d)
5 4/3
27.
What is the reciprocal of 5?
a)
5/1
b)
1/5
28.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
29.
Find the quotient.
a)
1  1/4
b)
1
c)
1  1/5
d)
1  2/7
30.
Solve.
a)
2
b)
4
c)
1
d)
1/8
31.
1 ¼ × 2 ¾ =
a)
3 7/16
b)
1/2
c)
3/16
d)
4 1/4
32.
2 3/4 × 12 =
a)
33
b)
24 3/4
c)
24 1/3
d)
120
33.
2  ÷ 1/3
a)
2/6
b)
6
c)
1/3
d)
1/6
34.

 1 14 131\ \frac{1}{4\ }\cdot\frac{1}{3}  

(a)  

35.

 12÷1 14\frac{1}{2}\div1\ \frac{1}{4}  

(a)  

36.

 2÷372\div\frac{3}{7}  

(a)  

37.

 2 234 1102\ \frac{2}{3}\cdot4\ \frac{1}{10}  

(a)  

38.

What is the LCM of 5 and 17?

a)

85

b)

5

c)

3

d)

75

39.

What is the LCM of 2 and 14?

a)

28

b)

7

c)

14

d)

2

40.

What is the LCM of 6 and 15?

a)

15

b)

30

c)

3

d)

10

41.

What is the LCM of 4 and 6?

a)

12

b)

6

c)

2

d)

24

42.

Seth grows 9 carrots. Seth also grows 7 tomatoes. If each vegetable can sell for $2 each, how much money can Seth make?

a)

$18

b)

$14

c)

$32

d)

$16

43.

Lacy has 5 watermelons. Each watermelon has 9 seeds. If each seed can grow 2 watermelons, how many watermelons can Lacy grow?

a)

45 watermelons

b)

90 watermelons

c)

10 watermelons

d)

18 watermelons

44.

Alan paints 4 pictures. Each picture sells for $10. If one of the paintings was on sale and sold for $8, how much money did Alan make on all of his paitings?

a)

$40

b)

$32

c)

$80

d)

$38

45.

Rebecca ate 3 strawberries for breakfast. Each strawberry is 10 calories. Rebecca also ate 2 pancakes. Each pancake is 50 calories. How many calories did Rebecca eat altogether for breakfast?

a)

100 calories

b)

130 calories

c)

30 calories

d)

60 calories

46.

Mandy earns money by delivering groceries. She earned $4 on Monday, $7 on Tuesday, $5 on Wednesday, $4 on Thursday, and $5 on Friday. What is the average amount of money Mandy earned per day?

a)

3

b)

4

c)

5

d)

6

47.

Clayton plays basketball on a team. He has played three games so far. In the first game, he scored 10 points. In the second game, he scored 14 points. In the third game, he scored 6 points. What is Clayton’s average points per game?

a)

10

b)

11

c)

12

d)

13

48.

Jean loves to go bird watching. One day, she saw 7 birds. The next day, she saw 11 birds. The next day, she saw no birds. What is the average number of birds Jean saw each day?

a)

3

b)

4

c)

5

d)

6

49.

Harley read 5 books in January, 8 books in February, 4 books in March, and 7 books in April. What is the average number of books Harley read per month?

a)

3

b)

4

c)

5

d)

6

50.

Jenny read 12 pages on Monday, 25 pages on Tuesday and a couple of pages on Wednesday. On the average, she read 23 pages per day during these 3 days. How many pages did she read on Wednesday?

a)

25

b)

20

c)

30

d)

32

51.

Estimate. 571 x 43=

a)

24

b)

2,400

c)

24,000

d)

240,000

52.

Which is the most appropriate estimate for 4280 - 2753

a)

4300 - 2800

b)

4760 - 3160

c)

4000 - 2500

53.
Estimate the SUM:
9.1 + 7.9
a)
15
b)
17
c)
18
d)
2
54.
Estimate the DIFFERENCE: 
20.2 - 10.3
a)
10
b)
19
c)
22
d)
18
55.
Estimate the QUOTIENT: 
24.7  ÷  4.68
a)
7
b)
4
c)
5
d)
3
56.
ESTIMATE the PRODUCT
730 X 4=
a)
3,200
b)
280
c)
2,800
d)
28,000
57.
Is this a correct answer?
a)
Yes, the student correctly added.
b)
No, you cannot add unlike denominators
c)
No, 5 + 7 is not 12
d)
No, 2 + 3 is not 5
58.

(Choose one that is true) When you add or subtract fractions with unlike denominators you..

a)

Add both the numerators and denominators

b)

Change the denominator by picking a random number then divide

c)

Find the least common multiple of both denominators

d)

none of these are true

59.

What is the least common denominator for this problem? 3/16 + 2/4 =

a)

24

b)

8

c)

16

d)

32

60.
What is the least common denominator of 1/7 and 3/6?
a)
14
b)
21
c)
7
d)
42
61.
Solve:
½ + ⅖
a)
9/10
b)
1/2
c)
5/10
d)
4/10
62.

Solve:

8/9 - 1/3 =

a)

7/6

b)

5/9

c)

2/3

d)

8/27

63.
a)
1/12
b)
1
c)
2/35
d)
23/25
64.

Solve:

 716+38\frac{7}{16}+\frac{3}{8}  

a)

8/16

b)

10/16

c)

13/16

d)

10/24

65.

Which quadrant is the ordered pair, (3,5) ?

a)

I

b)

II

c)

III

d)

IV

66.

How many quadrants are on the coordinate plane?

a)

8

b)

2

c)

4

d)

1

67.

Where is the ordered pair (-6,-9) found?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

68.
The coordinate plane is divided by a horizontal number line called what? 
a)
y-axis
b)
origin
c)
x-axis
d)
quadrant
69.
The vertical number line in the coordinate plane is called what? 
a)
y-axis
b)
origin
c)
quadrant
d)
x-axis
70.
How do you correctly write an ordered pair?
a)
(y,x)
b)
(x,y)
c)
(0,0)
d)
(yy,x)
71.
If I want to plot point (4,9), I will go up 4 and over 9.
a)
TRUE
b)
FALSE
72.
Name the ordered pair for point C.
a)
(3,4)
b)
(4,3)
c)
(3,7)
d)
(4,7)
73.
Where is Point A on the coordinate plane?
a)
(7,4)
b)
(1,3)
c)
(9,3)
d)
(4,7)
74.
What is coordinate R?
a)
(2,5)
b)
(0,1)
c)
(2,3)
d)
(1,0)
75.
What is the ordered pair of point E?
a)
(2,5)
b)
(5,2)
c)
(-5,2)
d)
(5,-2)
76.

Which graph best matches this input/output table?

a)
b)
c)
d)