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Mixed Spiral Review #1

Total questions: 40

Worksheet time: 2hrs 8mins

Name
Class
Date
1.

Martha has 90 red tiles and 72 yellow tiles. She wants to place the tiles in rows using one color for each row without having any tiles left over. Each row must have the same number of tiles. What is the greatest number of tiles Martha can use for each row?

a)

6

b)

9

c)

18

d)

30

2.

Machines S and T were both cleaned this week.

  • Machine S is cleaned every 12 weeks.

  • Machine T is cleaned every 8 weeks.

What is the fewest number of weeks that will pass before both machines are cleaned again in the same week?

a)

16

b)

24

c)

36

d)

48

3.
Multiply.
a)
11 3/4
b)
10 2/36
c)
47/4
d)
423/36
4.
Multiply.  Be sure to simplify your answer when possible.
a)
18 4/14
b)
23
c)
18 2/7
d)
322/14
5.
a)

2 132\ \frac{1}{3}

b)


12\frac{1}{2}

c)

3 233\ \frac{2}{3}

d)

22

6.
a)

456\frac{45}{6}

b)

7 367\ \frac{3}{6}

c)

2 7102\ \frac{7}{10}

d)

2710\frac{27}{10}

7.

Robin has 3 3/4 feet of ribbon on one spool and 2 7/8 feet of ribbon on another spool. She plans to use 2/3 feet of ribbon to wrap packages. How many packages can Robin wrap?

(a)  

8.

Josh went fishing and caught five bass and four trout. The bass weighed an average of 4.96 pounds and the trout weighed 3.76 pounds. What was the total weight of the fish that Josh caught.

(a)  

9.

Mini candy bars come in 10.48-ounce bags. At a party, the boys had 3.75 bags of candy bars and the girls had 2.6 bags of candy bars. How many ounces did the boys and girls have in total?

a)

6.35-ounces

b)

1.65-ounces

c)

12.052-ounces

d)

66.548-ounces

10.

A chef ordered thirty-six eggs for the restaurant. 1/12 of the eggs were used for a chocolate brownie special and 1/4 of the eggs were used for cooked breakfasts. From the remainder, 1/2 of the eggs were used for the meringue. How many eggs were left?

(a)  

11.

A restaurant owner orders new plates and spoons.

•Plates are sold in packages of 9

•Spoons are sold in packages of 12

The restaurant owner orders an equal number of plates and spoons. What is the least number of packages of plates and spoons that should be ordered to have an equal number of plates and spoons?

a)

The owner will need to purchase 6 packages of plates and 4 packages of spoons.

b)

The owner will need to purchase 4 packages of plates and 3 packages of spoons.

c)

The owner will need to purchase 8 packages of plates and 6 packages of spoons.

d)

The owner will need to purchase 5 packages of plates and 3 packages of spoons.

12.

Determine the greatest common factor.

56 and 84

(a)  

13.

Determine the lowest common multiple.

36 and 18

(a)  

14.

There are two busses that stop at a hotel to pickup guests.

•Bus #1 makes a stop at the hotel every 6 hours.

•Bus #2 makes a stop at the hotel every 4 hours.

•They both start at the same hotel at 9:00am

At what time will the busses be at the hotel at the same time again?

a)

1:00 p.m.

b)

3:00 p.m.

c)

5:00 p.m.

d)

9:00 p.m.

15.

3.3 x 5.9

a)

1.947

b)

19.47

c)

194.7

d)

15.27

16.

Tristan earns $8.50 per hour. This week he worked 7 hours. How much did he earn this week?

a)

$62.00

b)

$56.00

c)

$59.50

d)

$58.00

17.

Evaluate

42.72÷1.2=42.72\div1.2=  

a)

3.56

b)

356

c)

0.356

d)

35.6

18.

Which of the following numbers are on opposite sides of zero on the number line?

a)

0 and 2

b)

4 and 3

c)

5 and -6

d)

-7 and -8

19.

Which situations can be described with a negative number? Select all that apply.

a)

Jason’s bank account showed a deficit of $20.

b)

The capitol building in Tallahassee, Florida is 345 feet

c)

The world record pole vault is 6.22 meters by Armand Duplantis.

d)

S.S. Edmund Fitzgerald rests at a depth of about 530 feet

e)

The greatest depths of the Grand Canyon lie more than 6,000 feet below its rim.

20.

In 2007, West Yellowstone, Montana had a one-day low temperature of  -51 degrees Fahrenheit. What change in temperature, in degrees Fahrenheit, would bring the outside temperature to 0 degrees Fahrenheit?

a)

-50

b)

-51

c)

0

d)

51

21.

Which of the following is equal to -25? Select all that apply.

a)

|-25|

b)

(-25)

c)

|25|

d)

Opposite of 25

e)

-|-25|

22.

A group is racing to grab a flag that is in the center of a field. Some of the participants are coming from the right and other from the left. The following are the locations of the participants in relation to the flag.

•James is -20 meters.

•Franklin is 15 meters.

•Marcus is 8 meters.

•Nicholas is -5 meters.

Who is the closest to the flag?

a)

James

b)

Franklin

c)

Marcus

d)

Nicholas

23.

Which of the following inequalities are true? Select all that apply.

a)

|9| > 10

b)

|-9| < 9

c)

|-10| > |9|

d)

|-9| > -|9|

e)

-|-10| < |-10|

24.

Sandy and Rebecca are out scuba diving.

•Rebecca was located 8 feet in the boat.

•Sandy was at -60 feet

How far apart are Rebecca and Sandy?

_ feet

(a)  

25.

Evaluate the following.

-67-29

(a)  

26.

Determine the quotient of -195 and 13.

a)

15

b)

2,535

c)

-15

d)

-2,535

27.

Determine the product of -23 and -48.

a)

-71

b)

1104

c)

71

d)

-1104

28.

The point A has a coordinate of (-5, 7). Write the coordinate of the point that is a reflection of A across the y-axis.

a)

(-5, -7)

b)

(5, -7)

c)

(5, 7)

d)

(7,-5)

29.

Determine the distance between (-3, -7) and (-3, -16).

_ units

(a)  

30.

A bedroom has a perimeter of 52 feet. A diagram is drawn of this where each square is one foot. The coordinates are (-10,9), (10, 3), (4, 9), and (4, -3).

What is the area of the bedroom floor?

(a)  

31.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
32.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
33.

G is plotted at (3, -2) and is reflected across the y-axis. Which ordered pair below shows this reflection?


*Use the coordinate plane to help you.

a)

(3, 2)

b)

(-3, -2)

c)

(2, 3)

d)

(-2, 3)

34.

A is plotted at (-6, -1) and is reflected across the x-axis Which ordered pair below shows this reflection?

a)

(1, 6)

b)

(6, 1)

c)

(-6, 1)

d)

(-1, -6)

35.

The point (-2, -3) is in which quadrant?

a)

1

b)

2

c)

3

d)

4

36.

The point (8, 15) is in which quadrant?

a)

1

b)

2

c)

3

d)

4

37.

The point (-3, 6) is located in which quadrant?

a)

1

b)

2

c)

3

d)

4

38.

The point (8, -6) is located in which quadrant?

a)

1

b)

2

c)

3

d)

4

39.
What is the absolute value of |572|.
a)
275
b)
-572
c)
57
d)
572
40.
The absolute value of zero is zero because...
a)
Zero is not a number.
b)
Zero is 0 distance from zero.  It is neither negative or positive.