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Hesi math (part 2)

1.

A newspaper kiosk sells 10 varieties of newspapers from around the world. The average daily sales for some of the varieties are as follows:English language newspapers eight papers, sells 25 of each paper each dayFrench language newspapers two papers, sells one of each paper each dayKorean language newspapers one paper, sells 16 each dayJapanese language newspapers eight papers, sells 16 of each paper each day Russian language newspapers one paper, sells 22 each day How many of these newspapers are sold each day?

368

2.

A hospital day staff consists of 25 registered nurses, 75 unlicensed assistants, five phlebologists, six receptionists and office staff, and 45 physicians. One summer day the staff was at only 68% strength. How many people were working that day?

106

3.

A farmer raises chickens for eggs and meat. Any chicken that does not lay at least one egg a week is moved to the slaughterhouse. The farmer has 765 chickens that can lay one egg each day. Each day 80% of the chickens lay eggs. How many eggs does the farmer collect each day?

612

4.

Last night at the hospital 76 babies were born. Of the births, 45% were girls. How many boys were born last night?

42

5.

A shopper spends $75.64 at one store and $22.43 at the next store. The shopper started out with $100.00. How much money does the shopper have left?

$1.93

6.

A worker is filling out his timesheet. He worked 8 hours on Monday, 7 hours and 30 minutes on Tuesday, 8 3/4 hours on Wednesday, 4 hours on Thursday, and 8 1/4 hours on Friday. If he earns $14.35 per hour, what will be his gross pay for this week?

523.78

7.

If you lost 4% of your original weight of 168, what would you now weigh?

161.28

- To figure out what 4% is, 168 is multiplied by .04 to get 6.72.
- Then 6.72 is subtracted from 168 to get 161.28.

8.

Ratio and proportion: 0.8:10 :: x:100

x=8

- 0.8:10 :: x:100, multiple 0.8 and 100.
- Then divide 80 by 10 to get 8.

9.

Add: 9.98 + 0.065=

10.045

10.

Add: 6 + 12.55 + 5.022=

23.572

11.

Add: 23.5 + 7.025=

30.525

12.

Subtract: 32.21 - 4.68=

27.53

13.

Multiply: (99)(0.56)=

55.44

14.

Multiply: (7.2)(0.34)=

2.448

15.

Jack drove 2 hours on the highway at an average speed of 70 mph. Then he drove 3 hours around the city at an average speed of 25 miles per hour. How many total miles did Jack drive?

215 miles

- Multiple 70 and the 2= 140
- Then multiple 3 and 25 = 75
- 140 + 75= 215

16.

Last week Mike worked 40 hours at his regular rate of $12 an hour and 9 hours of overtime at his overtime rate of $18 an hour. How much total did he make last week?

$642

17.

Elf really likes fruit salad. He bought 5 pounds of apples at $1.05 per pound, 3 pounds of bananas at $0.65 per pound and 4 pounds of oranges at $1.20 per pound. How much did Al pay for his fruit?

$12

18.

Isaac buys a cell phone plan that is only $15 per month. The plan also charges $0.25 per text. Isaiah has 200 texts in a month. How much will he end up paying for his cell phone bill this month?

$65

19.

A certain taxi company charges a $3.50 flag drop fee, plus $1.50 per mile. How much would it cost to take a 12 mile cab trip to the airport.

$21.50

20.

Isaac purchases a quad on a payment plan. He pays $500 down and $45 a month for 24 months. What is the total he'll pay for the quad?

$1,580

21.

Fran drives 3 hours at 75 miles per hour. Jack drives 5 hours at 60 miles per hour. How much further did Jack go than Franny?

75 miles

22.

Johnny drove three hours before lunch at 65 miles per hour, then 4 hours after lunch at the same speed. How far did he travel?

455 miles

23.

Mikey, Bobby and Tim are roommates who all work at Burger Barn making $11.00 per hour. Mike worked 32 hours last week, Bob worked 35 hours and Terry worked 28 hours. How much did they earn combined?

$1045

24.

Gray drove 240 miles before lunch and 180 miles after lunch. If she maintained an average speed of 60 miles per hour, how many hours did she spend driving?

7 hours

25.

Jasmine can type 80 words per minute. If she has to type both a 2800 word document and a 400 word memo, how long will it take her?

40 minutes

26.

How many grams in 4 kilograms?

4000

27.

How many pints in 56 ounces?

3.5

28.

How many meters are in 3 kilograms?

3000

29.

How many ounces in 3/4 pints?

12

30.

How many litters are in 5000 milli?

5

31.

Frederica worked 7 hours on Monday and 6 1/2 hours each day from Tuesday through Friday. If she makes $10.45 an hour, what was her gross income for the week?

$345

First figure out how many hours she worked all week. 7 + 6.5 + 6.5 +6.5 + 6.5 =33 hours in all.

Now multiply that by $10.45 per hour: $10.45 x33= $345.85 Then round to the nearest whole number to get $345

32.

2/3 + 4/9

1 1/9

33.

Express 0.608 as a percent

60.8%

34.

5 1/3 + 3 1/2

8 5/6

35.

7 7/10 - 3 4/5

3 9/10

36.

2 5/8 - 7/8

1 3/4

37.

Convert 1/5 to a decimal

0.20

38.

Add 2/3 + 1/6 + 2/5=

1 7/30

39.

How many gallons are in 576 fluid ounces

4.5

40.

Sally was able to eat 5/8 of her lunch. John ate 75% oh his lunch. Who ate more of their meal?

John

41.

12 5/6 ÷ 4 2/3=

2 3/4

42.

5 1/3 + 3 1/2=

8 5/6

43.

9/10 -2/5=

1/2

44.

1\4+3/8=

5/8

45.

5 3/4 ÷ 1/2=

11 1/2

46.

4/9 × 1 4/5 × 2/5

8/25

47.

Sarah ran a 24 mile race. She ran 6 mile in 1 hours,6 miles in 1.2 hours,6 miles in 1.5 hours,6 miles in 1.6 hours. How long did it take her to finish the race?

5.3 which also could be written 5 1/2

48.

Two chickens lay 6 eggs in 24 hours. How many chickens will lay 24 eggs in 24 hours?

8 chickens

49.

7/8+9/10+6/5=

2 39/40

50.

0.9 ÷3=

0.3

51.

Percentage word problem 54% of 789.56

$426.36

52.

0.5:20:×200

5

53.

x=11×+44/2 (x)

253

54.

A farmer has 240 acres under cultivation at the cost of 188.99 pee acre. If he averages a yield of 60 bushels per acre,what profit is expected if the price per bushel is $5.67?

36,290.40

55.

A man is reading a thick book. if he reads two chapters a day how long it will take him to read the book if there is 6 pages per chapter & 798 pg?

66.5 (67 rounded )

56.

An office worker mails 25 envelopes to customers each day. Every envelope contains 3 reports with a paper clip on each one. The supply of paper clips is provided in boxes of 500. How many days will it take for the clerk to use up one box of paper clips?

6.66

57.

A ride requires you to be 48 inches, what height would be in feet to ride it?

4ft

- 48/12 feet

58.

A library contains 67,982books. The children's section represent 1/3 of the totalbooks. Of the remaining books, 75% are fiction. How many books are in fiction section?

33,991

59.

There is 48 students in a class. 7 out of 8 are females what percent are females?

87%

60.

There is a school that has 6,190 students. There is already 216 teachers, how many more teachers are needed?

29 more teachers

- 6190/216

61.

A person Drove from 8am Tuesday to 5pm Wednesday. Total drive 396 miles. He have lunch for 30 min on Tuesday and sleep overnight from 7pm Tuesday and go back to drive at 5am Wednesday. On Wednesday he have 30 min for lunch. What is the average speed that he drives?

54

62.

John drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. What was his average speed for the whole journey?

54mph

- 50 miles × 3 hours=150 60 miles × 2 hours=120 add both numbers together 150+120=270. 2nd step Add the times 3+2=5hours.3rd step 270/5= 54mph

63.

A mother changes a baby diaper 6 times a day how many times does she change it in a year?

2190

64.

x:500:3:1000

1.5

65.

2 5/8-7/8

2 5/8- 7/8=

(2-1=1) then...

5/8+ 8/8= 13/8

13/8 - 7/8= 6/8

8 8 8

6 divided by 2= 3

8 divided by 2= 4

Now add the one to get= 1 3/4

66.

_3_- _2_=

20 20

1/20

67.

28/37- 17/37=

11/37

68.

For a recipe, there are 3 eggs needed for every pound of cake needed. How many pounds of cake can be made if there are 40 eggs?

13 pounds of cake

69.

Evaluate: x^4 − y if x = 3 and y = 20

61

70.

What is 70% of 65?

45.5

71.

Subtract: 1001 − 99 =

902

72.

Add: 9.43 + 11.3 =

20.73

73.

Multiply: (226)(55.3) =

12,497.8

74.

How many millimeters are there in 5 meters?

5,000 ml

75.

Divide: 223 ÷ 65 =

3.4

76.

How many yards are in a mile?

1,760

77.

A rat can finish a maze in about 3 minutes. If a small backpack is put on the rat so it reduces its speed by 50%, how much longer will it take the rat to finish the maze?

3 minutes

78.

A nurse's schedule is written in military time, and shows their shift is from 1500 to 0100. When will they get off work?

A little bit after midnight

79.

Convert 26° Celsius to Fahrenheit.

78.8° F

80.

Convert 104° Fahrenheit to Celsius.

40° C

81.

Multiply: (0.67)(0.09) =

0.060300

82.

A nurse working at a medical clinic earns $17.81 per hour. The nurse works three 8-hour shifts and one 12-hour shift every week, and is paid weekly. Weekly deductions are: federal tax $102.80, state tax $24.58, federal insurance $18.13, and family health insurance $52.15. What is the nurse's take-home pay each week?

$443.50

83.

There are 48 students studying foreign language at the community college. If the only two foreign languages offered are French and Spanish, and 28 students are studying French, which of the following represents the ratio of students studying Spanish to the total number of foreign language students?

5/12

84.

A truck driver traveled 924 miles from 8 am tuesday to 5 pm Wednesday. During that time he stopped 30 minutes for lunch and gas at 1pm tuesday and then stopped that night a 7pm and was back on the road a 5am wednesday morning then stopped 30 minutes at 1pm wednesday for lunch and gas. What was his average speed?

=42mph

- His average speed is the total distance driven divided by the total time of driving. The total distance is given, 924 miles.Total time gone from 8am Tuesday to 5pm Wednesday is 33 hrs. However, you have to subtract the 30mins, or 1/2hr, from Tuesdays' 1pm break, the time from 7pm Tues. to 5am Wed., 10hrs, and the 30min break, 1/2hr, at 1pm Wed.Total distance=924 milesTotal driving time=33-1/2-10-1/2 =33-10-1 =22hrsAverage speed=distance/time =924/22 =42miles/hr

85.

20.3 x 2 =x

40.6

86.

Express 0.608 as a percent

60.8%

87.

2/3 + 4/9=

1 1/9

88.

17/25 - 3/5=

2/25

89.

5 1/3 + 3 1/2

8 5/6

90.

3 gallons is equal to how many ounces

384

91.

Solve: 2 − 8 ÷ (2^4 ÷ 2) =

x = 36

92.

Joe makes $20 an hour and Tim makes $30 an hour. How many hours more than Tim must Joe work to earn the same amount Tim makes in 4 hours?

- 2 hours

93.

Solve the proportion (find the value of x):

9:14 :: x:56

94.

Solve for x:

3(x − 4) = 18

x = 10

95.

There are 6,657 marbles in a jar. Approximately 34% are white, and the rest are black. How many black marbles are there?

4,394

96.

At a comic book store, Robert purchased three comics for $2.65 each. If he paid with a $20 bill, how much change did he receive?

$12.05

97.

Multiply: (44.44)(55.55) =

2,468.64

98.

Add: 1.332 + 0.067

1.399

99.

Subtract: 8,674.5 − 998.9 =

7,675.6

100.

How many ounces are in a ton?

32,000 ounces (oz)

101.

Fahrenheit to Celsius=

(F - 32) x 5 / 9

- Subtract 32 from the given number
- Next, multiply by 5
- Then, divide by 9

102.

Fahrenheit to Celsius=

(F-32) / 1.8

103.

Celsius to Fahrenheit

C x 9 / 5 + 32

- Multiply the given number by 9
- Next, divide by 5
- Last, add 32

104.

Celsius to Fahrenheit

C x 1.8 + 32

105.

1 c =____f

33.8 f

106.

25 c =____f

77 f

107.

28 c =____f

82.4

108.

35 c =____f

95 f

109.

73 f =____c

22.78 c

110.

114 f = ____ c

45.56

111.

38 f = ____ c

3.33

112.

86 f = ____ c

30

113.

19 c = ____ f

66.2

114.

7 c = ____ f

44.6

115.

100 f = ____ c

37.78

116.

44 c = ____ f

111.2

117.

21 c = ____ f

69.8

118.

68 f = ____ c

20

119.

45 f = ____ c

7.22

120.

30 c = ____ f

86

121.

21 c = ____ f

69.8

122.

13 c = ____ f

55.4

123.

89 f = ____ c

31.67

124.

31/54 - 5/9=

1/54

125.

1 9/10 -1/5=

1 7/10

126.

15 7/18 - 3/9=

15 1/18

127.

25 1/7 - 12 5/7=

25 3/7

128.

30 1/2 - 13 3/4=

16 3/4

129.

Alan is making a table. The table will be 6 1/2 feet long and 4 feet wide. The board for the table is 7 7/8 feet long and 4 feet wide. How much of the board will Alan need to cut off?

1 3/8 ft

130.

1/12 + 5/12=

1/2

131.

7/21 + 10/21=

17/21

132.

1/2 + 4/5=

1 3/10

133.

5/7 + 3/14=

13/14

134.

7 1/8 + 2 4/12=

9 11/24

135.

5 1/9 + 1 4/9=

6 4/9

136.

12 1/21 + 3 1/3=

15 8/21

137.

Mary is going to make a birthday cake. She will need 1 2/3 cups of sugar for the cake and 2 1/2 cups for the frosting. How many cups of sugar will Mary need to make and frost the birthday cake.

4 1/6

138.

Example: 5/12 x 1/10=

5/12 multiply 2= 10/24

1/8 multiply 3= 3/24

10/24 + 3/24= 7/24

- Addition fractions with unlike denominators, find the LCD by listing the multiple of each denominator.
- If the denominator (bottom number is changed, the numerator must also be changed by the same number.

139.

Example: 1/5 x 7/10=

1/5 x 2 top and bottom = 2/10

7/10 x 2= 14/20

_2_+ _7_= _9_

10 10 10

- Subtracting fractions with unlike denominators, find the LCD by listing multiples of each number.
- What is changed at the bottom must be changed at the top of a fraction.
- Subtract the new numerators: 10-3= 7

140.

Example: 5 2/3 - 3 4/5=

5 2/3 multiply 5= 10/15

(5-1=4) 10/15 + 15/15= 25/15

4 25/15+ 3 12/15= 1 13/15

- Burrowing whole numbers from whole numbers, find the LCD.
- 10 cannot subtract from 12; therefore 1 must be borrowed from the whole number making it 4, and the borrowed number must be added to the

141.

Example: 20/13=

1 7/13

- For multiplying improper fractions multiple top times top and bottom times bottom.
- To change a improper fraction into a mixed number, divide the numerator(top) by the denominator (bottom).
- 13/20= 1 7/13

142.

Example: 4/5 x 1/2=

4/10

- Multiply the numerators together: 4x1
- Multiply the denominators together: 5x2
- Reduce the product by using the greatest common factor: 4/10 divided by 2 top and bottom = 2/5

143.

Example: 5 x 4/13 =

5/1 x 4/13= 20/13 = 1 7/13

- Make the whole number 5 into a far action by placing 1 as the denominator.
- Multiply the numerators together: 5x4
- Multiply the denominators together: 1x13
- Change the improper fraction into a mixed number.

144.

Example: 2 1/8x 7 5/6=

2 1/8 x 7 5/6=

8 6

17/8 x 47/6= 799/48

799/48= 16 31/48

- Change the mixed numbers into improper fractions. 8x2+1= 17 and 6x7+5=47
- Multiply the numerators and denominators together: 17x47=799 and 8x6=48
- Change the improper fraction into a mixed number: 48/799

145.

3/5 x 2/3=

2/5

146.

7/9 x 1/9=

7/81

147.

6 x 4/5=

4 4/5

148.

2 1/7 x 1 3/4=

3 3/4

149.

1 2/5 x 5=

7

150.

4 4/5x 1 4/6=

8

151.

3 1/3 x 2=

6 2/3

152.

1 8/12 x 4 1/2=

7 1/2

153.

Alex had six friends who each give him 2 3/4 pieces of gum. How many pieces of gum does Alex have now?

16 1/2

154.

Example: 1/2 / 3/8=

1/2 / 3/8 = inverse (3/8) to 8/3

- Then multiple 1/2 x 8/3= 8/6
- Change the improper fraction into a mixed number: 3 divided 8
- 3 2/2

155.

Example: 1 5/6 / 3/4=

1 5/6 / 3/4= 2 4/9

- Change the mixed number into an improper fraction: 1 5/6= 11/6
- (6x1+5=11)
- Inverse the second fraction: 3/4 to 4/3
- Multiply the 11/6 x 4/3= 44/18
- Change the improper fraction into mixed number, then reduce the mixed number: 2 8/18 divided by 2 top and bottom = 2 4/9

156.

4/5 / 1/7=

5 3/5

157.

12/15 / 3/5=

1 1/3

158.

7/8 / 1/6=

5 1/4

159.

1 / 1/5=

5

160.

8 / 1/4=

32

161.

2 1/4 / 1/4=

9

162.

10 / 3 1/3=

3

163.

12 1/3 / 2=

6 1/6

164.

Danial has 11 1/4 cups of chocolate syrup. He is going to make chocolate sundaes for his friends. Each sundae will have 3/4 cup of chocolate. How many sundaes can Danial make?

15