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Advanced Number Theory Review

Total questions: 40

Worksheet time: 2hrs 52mins

Name
Class
Date
1.
Steven gives $5.29 to Margaret. If Steven started with $87.91, how much money does he have left?
a)
$82.57
b)
$82.62
c)
$83.57
d)
$62.82
2.
It rained 0.72 inches on Monday. On Tuesday, it rained 0.34 inches less than on Monday. How much did it rain on Tuesday?
a)
.38
b)
.37
c)
.39
d)
1.08
3.

A jeweler had a piece of silver that weighed 196.54 grams. She used 98.6 grams to make some jewelry. How many grams of silver did she have left?

a)

97.04 grams

b)

97.94 grams

c)

98.94 grams

d)

102.08 grams

4.

Stewart bought 3.26 pounds of bananas, 14.7 pounds of oranges, 8.632 pounds of grapes, and 0.986 pounds of kiwi to put in a fruit salad. How many pounds of fruit did Stewart buy?

a)

27.578 pounds

b)

25.758 pounds

c)

100.91 pounds

d)

10.091 pounds

5.
- 5.62 + (- 12.9)
a)
-6.91
b)
- 18.52
c)
6.28
d)
6.91
6.
- 2.09 - 15.271
a)
-17.361
b)
13.181
c)
17.361
d)
-13.181
7.
5.23 - (-9.1)
a)
-3.87
b)
3.87
c)
4.32
d)
14.33
8.
-51 + 81.623
a)
30.623
b)
-30.623
c)
132.623
d)
-132.623
9.

Oliver bought 7 bags of candy. Each bag costs $1.50. How much money did he have to pay?

a)

$7.50

b)

$8.50

c)

$10.50

d)

$105.00

10.

Leah wants to cut a rope that is 7.2 inches long into four equal pieces. How long was each piece of rope?

a)

1.4 inches

b)

2.4 inches

c)

1.8 inches

d)

2.2 inches

11.

Andrew is trying to save $ 20.45. He will save the same amount each day for five days. How much will Andrew need to save each day in order to meet his goal?

a)

2.3

b)

06.07

c)

04.09

d)

5.2

12.
Find the quotient
-3.6 ÷ .06
a)
-0.6
b)
6
c)
-60
d)
600
13.
Solve 0.729 ÷ 1.5
a)
0.473
b)
0.466
c)
0.486
d)
0.491
14.
-6.3(-0.6)
a)
-3.78
b)
5.76
c)
3.78
d)
-5.12
15.
The temperature was 3* C on Monday and was 7.5 degrees lower the next day. What was the temperature on Tuesday?
a)
10.5* C
b)
4.5* C
c)
-4.5* C
d)
-10.5* C
16.
2⁄5 ÷ 2⁄5 =
a)
4⁄10
b)
2⁄5
c)
1
d)
5
17.
51⁄2 ÷ 4⁄5 =
a)
67⁄8
b)
10
c)
44⁄10
d)
11⁄4
18.
3⁄4 ÷ 41⁄2 =
a)
27⁄8
b)
36⁄6
c)
1⁄6
d)
6
19.
a)
3/4  x  2/3  =  6/12
b)
1/3  x 1/4  = 2/12
c)
2/3  x 1/4  = 9/12
d)
2/3  x 1/4  = 2/12
20.

The Jackson family owns a 1/2 acre of waterfront property. They plan to divide it into three smaller lots and sell them. What is the size, in acres, of each smaller lot?

a)

1/6 acre

b)

1/5 acre

c)

2/3 acre

d)

1 1/2 acres

21.

Thomas is tiling the edge of his bathroom floor. The floor is 5 ft wide. Each tile covers 1/5 foot. How many tiles will Thomas need?

a)

1/10

b)

1

c)

25

d)

50

22.

Molly has 10 feet of ribbon. She is making ornaments. Each ornament uses 1/5 foot of ribbon. How many ornaments can Molly make?

a)

15

b)

50

c)

2

d)

1/2

23.

Eliza is building a fence that is 1/4 Mile. She plans to build it in 3 days. How long should the section of fence be that Eliza builds each day?

a)

1/7 mile

b)

3/4 mile

c)

1/12 mile

d)

12 miles

24.

George has ½ gallon of blue paint. He needs to paint 8 chairs. How much paint can George use on each chair?

a)

16 gallons

b)

4 gallons

c)

1/4 gallon

d)

1/16 gallon

25.
Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
26.
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
a)
55 minutes
b)
25 minutes
c)
60 minutes
d)
75 minutes
27.
Lisa is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?
a)
2
b)
12
c)
36
d)
6
28.

Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white

balloons, and 16 orange balloons. She wants each arrangement to have the same number of each

color. What is the greatest number of arrangements that she can make if every balloon is used?

a)

6

b)

2

c)

4

d)

8

29.
Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?
a)
1
b)
2
c)
3
d)
4
30.
Find the LCM of each set of numbers.
8, 12 
a)
48
b)
24
c)
76
d)
96
31.
What is the least common multiple (LCM) of 5 and 20?
a)
4
b)
5
c)
20
d)
100
32.
What is the least common multiple (LCM) of 2 and 3?
a)
6
b)
8
c)
20
d)
10
33.
What is the reciprocal of 12/7?
a)
7/12
b)
1  5/7
c)
3/6
d)
12/7
34.
What is the reciprocal of 2 1/4?
a)
9/4
b)
4/9
c)
2    2/8
d)
18/8
35.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
36.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

2 14/15

b)

4 7/12

c)

44/15

d)

2 13/15

37.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

3 1/7

b)

3 2/14

c)

44/14

d)

3 2/7

38.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

1 19/20

b)

1 18/20

c)

39/20

d)

1 9/10

39.

Change this Improper Fraction to a Mixed Number.

a)

5 1/3

b)

4 2/3

c)

6

d)

5 2/3

40.

Change this Mixed Number into an Improper Fraction.

a)

50/8

b)

20/8

c)

16/8

d)

12/8

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