Arithmetic Review

Convert 1/4 % to a decimal.

0.0025 (1/4=0.25, move decimal two places to the left)

Multiply 0.12 by 0.26

0.0312

Reduce 24/60 to lowest tests.

2/5

Mike's team won six games, which was thirty percent of the games they played. How many games did they play?

20 games (6 games = 30)(6+6+6=90%)(2 games 10%)(6+6+6+2=20)

200 students were surveyed. 130 said that they were registered voters and had voted in the last election. 30 said that they were registered, but had not voted. What percent of those surveyed were not registered voters?

20% (130+30=160)(200-160=40 not registered)(40/200=0.2=20%)

Divide 49,126 by 242

203

John can plant two rows of beans with 1/7 pound of seed. How many rows can he plant with 3/14 pound of seed?

3 rows

Denise is preparing for a marathon by running an average of 32 miles a week for four weeks. The first week she ran 28 miles, the second week she ran 31 miles, and the third week she ran 34 miles. How many miles does she need to run the fourth week to make her average of 32 miles per week?

35 (28+31+34=93)(93+x/4 (# of all values) = 32)(equation is 93+x/4 = 32)

Add: 1.98, 2.751, and 3.1

7.831

The map of Green County has a scale of 1 inch representing 20 miles. On the map, the distance between the towns of Hunterville and Bryant is 1 3/4 inches. How many miles apart are the towns?

35 (1 inch=20)(3/4=5+5+5)(15+20=35)

Find the value of 𝑥 in the following equation: 2/7 = 𝑥/42

12

3 3/8 ÷ 3/4

4 1/2

A survey of 200 students at a local community college revealed that 131 drove to school and 45 used the bus to get to school. What percent of those surveyed used another form of transportation (including walking) to get to school?

12% (131+45=176)(200-176=24 other transportation)(24/200=0.12)

Convert 1.2 to a percent.

120% (move two places to the right)

Mr. Thomas hired an electrician who charged $60 for the first hour of work and $45.50 for each hour or part of an hour after that. The electrician started his work at 10:00 a.m. and finished at 12:30 p.m. How much did Mr. Thomas owe the electrician for his work?

$151

Carol paid $3.64 per gallon for 13.4 gallon of gas. Across the street, gas sold for $3.59 per gallon. How much would Carol have saved if she had purchased her gas across the street

$0.67 (dont know how to solve)

Mike, Rachel and Denise have a lemonade stand. They sold 24 cups at $0.25 each. Their expenses were: lemons, $2.40, sugar, $0.45, cups, $0.30. How much will each of them make after their expenses?

$0.95

Josie bought a coat and a hat priced at $78.50 and $27.50, respectively. In addition to the cost of the garments, she paid 6% sales tax. What was her total bill?

$112.36

Carl needs seven 4 ft by 8 ft plywood sheets to finish a remodeling job. If each sheet costs $12.48 including tax, how much change would he receive from a $100 bill?

$12.64

Nancy makes $1200 a month. What will her salary be after she receives a 6% raise?

$1272 a month

A bookstore paid their part-time stockers $1400 per month. One month they were able to give each employee a 10% raise. Unfortunately, the following month they had to reduce the pay by 5%. What was the new monthly pay for the stockers?

$1463

Marsha is going to make 10 batches of cookies. Six of the batches she will make each use 2 1/3 cups of sugar. Each of the other 4 batches uses 1 1/2 cups of sugar. There are 10 cups of sugar in a 5 pound bag of sugar, which costs $1.25. How much will the sugar cost to make the cookies?

$2.50 (6x2 1/3= 6x7/3=42/3=14)(4x1 1/2=4x3/2=12/2=6)(total amount of cups = 20 so Marsha needs to by 2 5 pound bags)

If Michelle can purchase 6 cans of pop for $2.10, how much will 8 cans of pop cost?

$2.80

The price of a sweater is $42. If the price is reduced 20% during a sale, what will the sale price be?

$33.60

A stove was marked down 15% to a price of $433.50. What was the original price of the stove?

$510.00 ( steps in notes )

The booster club is making ham sandwiches for the school fair. If each sandwich takes 6 ounces of ham and a five pound can of ham costs the club $7.50, how much will it cost the club to buy enough ham for 120 sandwiches? (One pound - 16 ounces)

$67.50 (5 pounds = 80 ounces)(set up proportion: 1 sandwich/6 ounces = 120sandwiches/x ounces)(x=720 ounces/80 ounces=9 lbs)(7.50x9=67.50)

Calculate 12 − 6 × 4 + 5

-7

What number is 1.5% of 22?

0.33 (0.015 x 22 = 0.33)

Convert 3/8 to a decimal.

0.375 (3 divide by 8 = 0.375)

Convert 17/30 to a decimal

0.56̅ 𝐎𝐑 0.5666 ...

Divide 2.065 by 3.5

0.59

List the following numbers from smallest to largest: 1 1/5 , 125%, 7/5 , 1.3, 4/3

1 1/5 , 125%, 1.3, 4/3 , 7/5

5.02 × 21.9

109.938

Harry needs 3 1/2 cups of flour to make 3 dozen of his special recipe cookies. How many cups of flour does he need to make 10 dozen of the cookies? (State your answer as a mixed number.)

11 2/3 cups (cross multiply)(3 1/2 over 3 = x / 10)(3 1/2 = 7/2 x 10 = 70/2 = 35)(3x=35)(x=11.66...=11 2/3)

What percent of 4.2 is 5.46?

130% (set up proportion: 100%/4.2 = x%/5.46)(100x5.46=546/4.2=130)(x=130)

986 + 327

1313

Change 40/13 to a mixed number.

3 1/13

22.4 ÷ 0.16

140

Order the following from smallest to largest. 18/11 , 160%, 1 2/3 , 1.676767 ...

160%, 18/11 , 1 23 , 1.676767 ...,

To make slipcovers for 2 chairs, 6 ½ yards of fabric is required. How many yards are needed to make slipcovers for 5 chairs? Write answer as a mixed number.

16 ¼ (4 chairs = 13)(1 chair = 3 1/4)(6 1/2 / 2 = 3 1/4)

Subtract 378 from 567

189

Convert 2 5/7 to an improper fraction

19/7

What is the tenths digit in the number 3714.26?

2

Jane bought 10 pounds of potatoes. She gave 2 1/3 pounds to Tim. Jane, Mary and Hank shared what was left. How many pounds did each of them have?

2 5/9 pounds (subtract 2 1/3 from 10=7 2/3)(divide 7 2/3 and 3=2 5/9)

Subtract 4.78 from 7.02

2.24

Subtract 2.5614 from 5.047

2.4856

Forty percent of a class of fifty-five students is girls. How many girls are in the class?

22 girls (0.4x55=22)

The park district is subdividing 6 acres into individual garden plots for the city residents. if each plot is ¼ acre, how many plots will there be?

24 (6/1 ÷ 1/4)(6/1 x 4/1 = 24)

Convert 2.7% to a fraction.

27/1000 (move decimal place two places to left)(0.027=27/1000)

Divide 3/4 by 1/2

3/2 or 1 1/2

Convert 3.08 to a percent

308%

Subtract: 83 2/9 − 51 7/12

31 23/36

ABC Corporation has decided to increase the production of a wheel bearing by 7.5%. If it presently produces 440 bearings per day, how many will it produce in a seven day week?

3311 (440x7(days a week)=3,080)(3,080x0.075=231)(231+3,080=3,311)

Members of the French Club need to raise $288 for a field trip. They plan to sell candy bars for $1.50 each. If they pay $16.80 for a carton of 24 bars, how many candy bars do they have to sell to achieve their goal?

360 (DONT KNOW HOW TO SOLVE)

84 is 210% of what number?

40 (84 / 2.10 = 40)

Add 2/7 and 4/9

46/63

Convert 0.235 to a fraction.

47/200 (235/1000=simplified to 47/200)

Multiply 1 3/4 and 2 6/7

5

Add 3 2/9 and 2 5/8

5 61/72

Convert 1/20 to a percent

5% (1/20=0.05)(move decimal two places to the right for %)

Write the following number: five million three thousand twenty-four and two hundredths.

5,003,024.02

Multiply 5/8 and 4/9

5/18

307 × 174

53,418

11 7/12 − 4 5/6

6 3/4

Convert 4.8% to a fraction in lowest terms.

6/125 (4.8=0.048)(480/10,000, simplified = 6/125)

Dan's test average on 5 tests is 70. If he scored 85, 62, 78, and 65 on the first four tests, what was his score on the fifth test?

60

Divide 1 2/3 by 3 1/8

8/15

Carlos had scores of 68, 87, 75, and 84 on his first four exams in math class. He needs an average of 80 on five exams to earn a B in the class. How many points does he need to score on the fifth exam to receive a B in the course?

86

Dejonia has to make pillows that each require 22 inches of material that is 36 inches wide. She has a piece of material that is 198 inches long and 36 inches wide. How many pillows can she make with this piece of material?

9 (22x26=792)(198x36=7128)(7128/792=9)

John has to make a 430 mile auto trip with his three brothers. If each of John's brothers drives 112 miles, how far does John have to drive?

94 miles

29 − 24 ÷ 4 × 6

−7