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Math Practice VI

Total questions: 60

Worksheet time: 2hrs 35mins

Name
Class
Date
1.

A beverage container holds 12 servings. If a serving size is 8 oz, how many oz does the container hold in all?

a)

20

b)

32

c)

48

d)

96

2.

Sales at 3 concession stands are $839., $527., and $726. What is the total amount in sales?

a)

$1,581

b)

$2,092

c)

$2,178

d)

$2,517

3.

A wooden flooring strip is 20 1/2 inches long. If you cut off 4 3/4 inches from one end, what will be the new length of the strip in inches?

a)

16 3/4

b)

16 1/4

c)

15 3/4

d)

15 1/4

4.

A box of cereal cost $4.69. The package label says that the box contains 19 servings. What is the cost of 1 serving to the nearest cent?

a)

$0.02

b)

$0.25

c)

$0.47

d)

$2.46

5.

From a total yearly budget of $360,000 the Kimball Foundation spends $30,000 on leasing office space. What is the ratio of dollars spent on office space to dollars spent on other costs?

a)

12:1

b)

11:1

c)

1:11

d)

1:12

6.

A worker can assemble 5 motors in 2 hours. Which of the expressions below could be used to find how long it would take the worker to assemble 50 motors.

a)

2 x 50/5

b)

5 x 50/ 2

c)

5/ 2 x 50

d)

2 x 5 x 50

7.

At a convention, Jim and his three friends each bought three raffle tickets. At the time of the drawing, 400 tickets had been sold. What is the probability that either Jim or one of his friends will win?

a)

3/100

b)

1/25

c)

3/50

d)

9/100

8.

Devon owns a house-cleaning company that has to give price quotes to potential clients. He figures out his price by assuming a $25.00 base charge and then adding 18.00 for each bathroom and $14.00 for every other room. If he uses P for price, B for Bath, and R for other Rooms, which formula represents the price quote formula?

a)

P = 25 +12 (BR)

b)

P = 25 +8B +4R

c)

P = 25 (4R +8R)

d)

P = (4)(8) (R+B) + 25

9.

What are the coordinates of C?

a)

(1,-5)

b)

(3, - 5)

c)

(-1, 5)

d)

( - 5, 3)

10.

F(x) = 2(x)2 - 3X +7, find F (2.5)

a)

5

b)

6

c)

8

d)

12

11.

Solve:

5X+8 < 3(X+2)

a)

X<-1

b)

X<-3

c)

X>1

d)

X> - 3/4

12.

Simplify:

(x6) (X5)

a)

2X11

b)

2X30

c)

X11

d)

X30

13.

If the area is 100π100\pi  , what is the diameter of a circle?  

a)

10

b)

20

c)

30

d)

40

14.

Jack struggled with his math class early in the year, but he has been working hard to improve his scores. There is one test left, and he's hoping that his final average will be 75. What score will he need to get an average of 75, if his following test scores were as follows:

Test 1 = 50%

Test 2 = 52%

Test 3 = 77%

Test 4 = 88%

Test 5 =91%

Test 6 = ?

a)

75%

b)

85%

c)

92%

d)

100%

15.

Solve if A = - 4 and B = 3 ab\left|a-b\right|  

a)

1

b)

3

c)

4

d)

7

16.

What is the correct graph shown for Y = 2X+1, if...?

Y =

-1

1

3

5

a)
b)
c)
17.

If there are 4 males in the room and 8 females, what is the probably that a male would be chosen out of a lottery if each person only had one ticket?

a)

1/2

b)

1/3

c)

2/3

d)

4/5

18.

What's the value of (2 X), if...

10X +2 = 7

a)

10

b)

-0.5

c)

5

d)

1

19.

A long distance runner does a first lap around a track in exactly 50 seconds. AS she tired, each subsequent lap takes 20% longer. How long is it for three laps?

a)

50 seconds

b)

60 seconds

c)

72 seconds

d)

182 seconds

20.

A number N is multiple by 3. The result is the same as when N is divided by 3. What is the value of N?

a)

-1

b)

-3

c)

3

d)

0

21.

According to the graph, which line has a negative slope?

a)

Line A

b)

Line B

c)

Line C

d)

All of them

22.

John buys 100 shares of stock at $100.00 per share. The price goes up 10%, at which point he choose to sell 50 shares. The, the prices droopy 10%, and he sells the rest of his remaining 50 shares. How much did he get for the last 50?

a)

5500

b)

5050

c)

4950

d)

5000

23.

The sides of a triangle are equal to the integral (necessary to make complete) number of units. Two sides are 4 units and 6 units long. Respectively, what is the minimal value for the triangles perimeter?

a)

12

b)

9

c)

11

d)

10

24.

A teacher has 3 hours to to grade all the papers submitted by 35 students in her class. She gets through five papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time?

a)

10%

b)

15%

c)

20%

d)

25%

25.

Determine the volume of a rectangular box if the length is equal to 5 inches, the hight to 7 inches, and the width to 9 inches.

a)

21 inches 3

b)

45 inches 3

c)

210 inches 3

d)

315 inches 3

26.

Fractions and decimals in order

Place fractions and decimals in order from smallest to largest.

1/4, 0.375 5/8, 0.35, 1/2

a)

1/4, 0.375, 5/8, 0.35, 1/2

b)

1/4, 5/8, 1/2, 0.375, 0.35

c)

1/4, .035, 0.375, 1/2, 5/8

d)

0.35, 0.375, 1/2, 1/4, 5/8

27.

Fractions and decimals in order

Between which pair of decimals should 19/50 be placed on a number line?

a)

0.3 and 0.4

b)

0.4 and 0.5

c)

0.5 and 0.6

d)

0.6 and 0.7

28.

Multiples and factors

Question:

Bill and Sue are running in a foot race. Bill can run around the track in 4 minutes. Sue can run around the track in 6 minutes. Bill and Sue started running at the same time. How many minutes will it be until they complete a lap at the same time.

a)

2

b)

10

c)

12

d)

24

29.

Simplify exponents

Simplify

(23 x 33) X (24 x 3)2

a)

27 x 35

b)

66 x 66

c)

27 x 33

d)

211 x 35

30.

Simplify exponents

Simplify

(23 x 33) X (24 x 3)2

a)

497664

b)

2592

c)

2176782336

d)

24192

31.

Distance between numbers on a number line

The points -8 and 10 are plotted on a number line. What is the distance, in units, between the two points?

a)

2

b)

8

c)

16

d)

18

32.

Whole numbers, fractions, and decimals problems
Compute and solve problems with whole numbers, fractions, and decimals
Simplify
12 +15÷3×6412\ +15\div3\times6-4   

a)

18

b)

22

c)

38

d)

50

33.

612×31÷26-\frac{1}{2}\times3-1\div2  

Whole numbers, fractions, and decimals problems
Compute and solve problems with whole numbers, fractions, and decimals
Simplify

a)

4

b)

7 3/4

c)

7 1/2

d)

4 1/2

34.

3x3+2x33x^3+2x^3  

Squares, square roots, cubes, and cube roots
Add

a)

5x35x^3  

b)

5x65x^6  

c)

5x95x^9  

d)

5x5x  

35.

Undefined expressions

Which expression is undefined in the set of real numbers?

a)

020^2

b)

40\frac{4}{0}

c)

4×0-4\times0

d)

404^0

36.

Unit Rates

A store charges $13.98 for a case of Spring Water.

Each case contains 2 packs of Spring Water.

Each pack contains 12 bottles of Spring Water.

What is the cost of each bottle of Spring Water?

a)

$6.99

b)

$0.58

c)

$1.17

d)

$1.16

37.

Objects Drawn to Scale

A scale drawing of a house uses a scale of 1/4 inch equals 1 foot. What is the length, in inches, of a line on the scale drawing that represents an actual length of 12 feet.

a)

48 inches

b)

12 inches

c)

3 inches

d)

36 inches

38.

Multiple-step problems that use ratios, proportions, and percentages.

Suppose you deposit $10,000 into the bank at an annual percentage rate (APR) of 6%. How much do you have 5 years later using simple interest?

a)

$13382.25

b)

$10,600

c)

$40,000

d)

$13,000

39.

Multiple-step problems that use ratios, proportions, and percentages.

Percent increase and decrease

The price of Mary's dinner before tax and tip was $12.99. Mary paid 6% tax, then added a 15% tip to the total. To the nearest cent, how much did Mary pay for her dinner?

a)

$15.83

b)

$15.72

c)

$15.84

d)

$15.70

40.

Multiple-step problems that use ratios, proportions, and percentages. Commissions

Levi earns a base salary of $275.00 every week with an additional 15% commission on everything he sells. Levi sold $7,775.00 worth of items. What was Levi's total pay last week?

a)

$391.63

b)

$1,207.50

c)

$1,400.00

d)

$1,441.25

41.

Write 8% as a fraction in simplest form.

a)

0.08

b)

25/2

c)

2/25

d)

1 and 2/25

42.

27 is what percent of 30? If necessary, round your answer to the nearest tenth of a percent.

a)

111.1%

b)

0.9%

c)

1.1%

d)

90%

43.

Find the missing number that makes the fractions equivalent. 2/7 = ?/21

a)

8

b)

12

c)

6

d)

2

44.

A platter contains the following items. What is the ratio of peppers to peas?

a)

11:30

b)

30:11

c)

91:11

d)

30:91

45.

The table shows the number of several types of balls sold by a sporting goods store. What is the ratio of softballs to the total number of balls?

a)

3:65

b)

184:65

c)

184:3

d)

3:184

46.

Jon’s summer baseball league has 44 thirteen-year-olds and 36 fourteen-year-olds. Write the ratio of thirteen-year-olds to fourteen-year-olds in three different ways.

a)

11/9 , 11 to 9, 11:9

b)

9/11 , 9 to 20, 9:20

c)

9/20 , 9 to 11, 9:11

d)

11/20 , 11 to 20, 11:20

47.

Points J, K, and L are plotted on the coordinate grid.


What are the coordinates of the points on the coordinate grid?

a)

J (1, -4); K (3,0); L (-2, 3)

b)

J (-4, 1); K (0,3); L (3, -2)

c)

J (-4, 1); K (0,3); L (-2, 3)

d)

J (-4, 1); K (3,0); L (3, -2)

48.

Isabella saved $15,000 and bought a new car that cost $12,700. The insurance for the car will cost $600 per year. How many full years will Isabella be able to pay for car insurance with her remaining savings?

a)

3

b)

4

c)

21

d)

25

49.

Which expression matches this written description?


The quotient of the sum of 4 and 2 times a number, and the difference of 6 less than 3 times the same number.

a)
b)
c)
d)
50.

In a science experiment, the initial temperature was 55 degrees Fahrenheit, and each hour after, the temperature dropped by 4 degrees. Which expression represents the temperature, in degrees Fahrenheit, after t hours?

a)

55 - 4t

b)

55 + 4t

c)

4t + 55

d)

4t - 55

51.

A painter uses the expression 35h + 30c to determine how much he charges a customer for a job that takes h hours and c cans of paint. His last job required 3 cans of paint and took 15 hours to complete. How much did the painter charge?

a)

$540

b)

$555

c)

$615

d)

$630

52.

A sphere has a radius of 7.5 centimeters (cm).


To the nearest cubic centimeter, what is the volume of the sphere?

a)

236

b)

1,325

c)

1,766

d)

14,130

53.

The foundation of a building is in the shape of a rectangle, with a length of 20 meters (m) and a width of 18 m.


To the nearest meter, what is the distance from the top left corner of the foundation to the bottom right corner?

a)

19

b)

27

c)

36

d)

38

54.
The perimeter of a square flower bed is 100 feet. What is the area of the flower bed in square feet? 
a)
25
b)
100
c)
400
d)
625
55.
One of the first electronic computers was in the shape of a huge box. It was 96 feet long and 2.5 feet wide. The amount of space inside was approximately 3,000 cubic feet. How many feet high was the computer? 
a)
1.25
b)
12.50
c)
27.60
d)
125.00
56.
What is the area of the hatched shape in the figure below? All corners are right, AB = 3, AD = 6, GH = 1 and EG = 1.
a)
15
b)
17
c)
18
d)
19
57.

A square has sides that measure 5 inches. The square is then divided in half vertically and horizontally, creating 4 smaller squares. What would the perimeter of the 4 smaller squares be inches)?

a)

5

b)

6.25

c)

25

d)

40

58.

To rent a community center for a school prom costs a base fee of $550 and an additional fee of $6 per person in attendance. The organizers expected 350 attendees, but in fact a total of 377 people attended. How much greater was the actual fee than the fee the organizers had expected to pay?

a)

162

b)

712

c)

2,262

d)

2,812

59.

The line graph shows the monthly payroll at a large construction company.


In which month did the monthly payroll decrease the most?

a)

February

b)

March

c)

June

d)

July

60.

How many dollars were spent for labor?

a)

$9,600

b)

$48,000

c)

$960,000

d)

$96,000

e)

$4,800