HESI A2 MATH VERSION 1 (with ANSWERS) Latest 2023/2024

HESI A2 MATH

 VERSION 1

(with ANSWERS)

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PRACTICE 1

1.Convert 5 3/4 to a decimal. Round to the nearest tenth.

A. 5.75

B. 5.7

C. 5.8

D. 6

2. A warehouse worker ships 25 boxes each day. Every box contains 3 shipping labels.

Inventory has 500 shipping labels. How many days will it take to use the inventory of shipping

labels? Round to the nearest whole.

A. 7 days

B. 8 days

C. 20 days

D. 6 days

3. Ratio and proportion. 6:10::24:x

A. 40

B. 25

C. 240

D. 4

4. A class of 25 students has 44% of boys. How many boys are there?

A. 10 boys

B. 11 boys

C. 9 boys

D. 13 boys

5. 3.44 divided by 0.6

A. 0.57

B. 5.73

C. 11.41

D. 2.33

6. Solve if x=11. x+44/2x

A. 55/22

B. 33

C. c

D. 13

7. 4 & 7/8 divided by 1 & 1/6

A. 4 & 5/28

B. 4 & 6/8

C. 4 & 7/8

D. 5 & 8/14

8. Add. 6 & 3/4 + 8 & 1/6

A. 35/6

B. 14 & 2/5

C. 14 & 11/12

D. 12 & 3/24

9. Solve for x. x/250=3/500

A. 1.5

B. 2.5

C. 1500

D. 25.5

10. A dice is rolled. What is the probability of getting 5?

A. 20%

B. 50%

C. 16.6%

D. 83.3%

11. Convert to metric: 7 gram = x mg

A. 700mg

B. 0.007 mg

C. 7,000 mg

D. 0.0007 mg

12. Sally eats 3/5 of her lunch. John eats 75%. Who ate more?

A. John

B. Sally

13. Add 1/4 + 3/8.

A. 4/12

B. 5/8

C. 1/2

D. 1/3

14. How many ounces in 8 & 1/4 pints?

A. 136 oz

B. 128 oz

C. 132 oz

D. 2.25 oz

15. Subtract 5/6 - 3/4.

A. 2/24

B. 1/12

C. 1

D. 1/2

16. Add 2/3 + 1/6 + 2/5.

A. 1 & 1/15

B. 2/5

C. 1/3

D. 1 & 7/30

17. A farmers production statistics finds that it takes 2 chickens to produce 6 eggs in 24 hours.

How many chickens will be needed to produce 24 eggs in 24 hours?

A. 12 chickens

B. 4 chickens

C. 3 chickens

D. 8 chickens

18. Subtract 28 & 3/4 - 5 & 5/6.

A. 22

B. 34 & 1/12

C. 23 & 1/2

D. 22 & 11/12

19. Add 7/8 + 9/10 + 6/5 as mixed.

A. 3 & 39/40

B. 3 & 22/23

C. 22/23

D. 2 & 39/40

20. A mother changes her baby 6 times a day. How many diapers will be needed in a year?

A. 2190 diapers

B. 2100 diapers

C. 2160 diapers

D. 2140 diapers

21. Subtract 2 & 5/8 - 7/8 and reduce.

A. 1 & 5/8

B. 1 & 6/8

C. 1 & 3/4

D. 1 & 1/4

22. A dice is rolled, what's the probability of an odd number?

A. 16.6%

B. 33%

C. 75%

D. 50%

23. 32 divided by 8/9.

A. 4 & 1/9

B. 4

C. 36

D. 28 & 4/9

24. 40.3 divided by 4.8.

A. 0.084

B. 84

C. 0.84

D. 8.4

25. Ratio and proportion 0.1:10::x:400

A. 5

B. 4

C. 50

D. 25

26. A cake provides 24 servings. How many cakes do you need for a class of 70 and staff of 3?

A. 4

B. 2

C. 5

D. 3

27. A female ran a 24 mile course. Her first 6 miles she ran in 1 hour. The second set of 6 miles

in 1.2 hours. The third set of 6 miles in 1.5 hours. The fourth set of 6 miles in 1.6 hours. How

long did it take her to complete the course?

A. 5 hours

B. 5.3 hours

C. 4 hours

D. 5.4 hours

28. What is 54% of $789.56??

A. $526.38

B. $426.37

C. $363.20

D. $426.36

29. 1/9 divided by 2/3

A. 1/6

B. 2/3

C. 3/18

D. 1/3

30. How many liters in 300 milliliters?

A. 0.03 liters

B. 3 liters

C. 0.3 liters

D. 3.30 liters

31. Ratio and proportion 18:x::10:300

A. 16.6

B. 180

C. 30

D. 540

32. Subtract 12 - 7 & 4/5.

A. 4 & 4/5

B. 5 & 4/5

C. 4 & 1/5

D. 5 & 1/5

33. Find x. 120:x::40:0.5

A. 60

B. 0.167

C. 1.5

D. 16

34. 5 & 3/4 divided by 1/2 reduce.

A. 5 & 1/2

B. 2 & 3/8

C. 18

D. 11 & 1/2

35. Ratio and proportion 1.2:x::14:42

A. 2.4

B. 0.6

C. 1.2

D. 3.6

36. Find x 40:5=60:x

A. 12

B. 7.5

C. 1.5

D. 8

37. Ratio and proportion 15:2000::x:200

A. 7.5

B. 0.15

C. 7,777

D. 1.5

38. If quotient is 4, and 12 is the dividend, what is the divisor?

A. x

B. 12

C. 4

D. 3

39. Subtract 7 & 7/10 - 3 & 4/5

A. 11 & 5/10

B. 4 & 3/5

C. 3 & 9/10

D. 4 & 1/10

40. Change 0.26 to a fraction

A. 13/50

B. 26/100

C. 7/8

D. 2 & 6/10

41. Multiply 4/9 x 1 & 4/5 x 2/5

A. 1 & 32/45

B. 7/16

C. 8/25

D. 1 & 10/19

42. Add 2/3 + 4/9

A. 8/15

B. 9/9 = 1

C. 10/9 = 1 & 1/9

D. 6/12 = 1/2

43. Compare 0.045 is _____ to 0.054

A. Greater than

B. Less than

C. Less than or equal

D. Equal

44. Change 0.025 to a ratio

A. 400:1

B. 4:1

C. 1:40

45. Change 0.004 to a ratio

A. 1:250

B. 1:125

C. 4/1000

D. 2/500

46. Largest?

A. 3/8

B. 3/7

C. 3/9

D. 3/6

47. Subtract 3/5 - 2/7

A. 1/2

B. - 1/2

C. 3/35

D. 11/35

48. Covert 1/5 to a decimal.

A. 1.5

B. 0.5

C. 0.15

D. 0.2

49. Largest?

A. 0.667

B. 0.68

C. 0.6

D. 0.0688

50. A man is reading. He reads two chapters a day. How long will it take if there are 6 pages per

chapter and 798 pages total?

A. 66 & 1/2

B. 399

C. 75 & 1/2

D. 133

51. 0.9 divided 3

A. 0.9

B. 3

C. 0.3

52. Subtract 12.02 - 9.99

A. 2.03

B. 2.45

C. 2.13

D. 2.00

53. Convert 2100 to standard time

A. 12pm

B. 2 am

C. 9 pm

D. 2 pm

54. A label states 1 mil contains 500 mg. How many mils if there are 1.5 grams?

A. 9

B. 2

C. 3

D. 5

55. A mother is planning a birthday party. She will give each child 15 balloons. There are 50

balloons per packet. How many packets does the mother need if there will be 16 children?

A. 17

B. 5

C. 6

D. 50

KEY ANSWERS

1. C. 5.8

2. A. 7 days

3. A. 40;

4. B. 11 boys

5. B. 5.73

6. D. 13

7. A. 4 & 5/28

8. C. 14 & 11/12

9. A. 1.5

10. C. 16.6%

11. C. 7,000 mg

12. A. John;

13. B. 5/8

14. C. 132 oz

15. B. 1/12

16. D. 1 & 7/30

17. D. 8 chickens

18. D. 22 & 11/12

19. D. 2 & 39/40

20. A. 2190 diapers

21. C. 1 & 3/4

22. D. 50%

23. C. 36

24. D. 8.4

25. B. 4

26. A. 4

27. B. 5.3 hours

28. D. $426.36

29. A. 1/6

30. C. 0.3 liters

31. D. 540

32. C. 4 & 1/5

33. C. 1.5

34. D. 11 & 1/2

35. D. 3.6

36. B. 7.5

37. D. 1.5

38. D. 3

39. C. 3 & 9/10

40. A. 13/50

41. C. 8/25

42. C. 10/9 = 1 & 1/9

43. B. Less than

44. C. 1:40

45. A. 1:250

46. D. 3/6

47. D. 11/35

48. D. 0.2

49. B. 0.68

50. A. 66 & 1/2

51. C. 0.3

52. A. 2.03

53. C. 9 pm

54. C. 3

55. B. 5

PRACTICE 2

1. 1 2/3 + 4/7. 2 5/21

2. 1.25 X 2.0 . 2.5

3. 8.08 change into a fraction. 8 2/25

4. Change 1/1000 to a ratio..... all u have to do is write 1:1000

5. 0.2 divided by 1.1. 0.18

6. How many fluid ounces are in 2 1/2 gallons. 320 oz

7. How many ml are in 6 liters. 6000ml

8. which fraction is equivalent to 7/28. 1/4

9. 5/12 x 4/9. 5/27

10. 1 1/2 divided by 2 . 3/4

11. 0.5:20 :: x:200 ( this is a proportion}. 5

12. 9:X :: 5:300. 540

13. 3:10 :: 12:X. 40

14. 7/8 + 9/10+ 6/5. 2 39/40

15. 1/5 to decimal 0.2

16. 32 divided by 8/9. 36

17. x:600 :: 4:20 120

18. 0.9 divided by 3 0.3

19. 3:5 :: x:10 6

20. 5 3/4 divided by 1⁄2. 11 1⁄2

21. 0.6: X :: 0.3:2 4

22.How many grams are in 4 kilograms 4000 grams

23.military time for 6 am 0600

24. 2100 in regular time 0900pm

25. 0.75 put into proportion and reduce to fraction 3⁄4

26. 0.12 change to percent 12%

PRACTICE 3

1. 12 5/6 divided by 4 2/3. 2 3⁄4

2. 5 1/3 + 3 1⁄2. 8 5/6

3. 240:x:80:0.8. 2.4

4. 32 divided 8/9. 36

5. 6g to mg. 6000 mg

6. 9/10- 2/5. 1⁄2

7. 5 3/4 divided 1⁄2. 11 1⁄2

8. 4/9x1 4/5x 2/5. 8/25

9. 1/4+3/8. 5/8

10. Sarah ran a 24 mile race. She ran 6 miles 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 or 5 1⁄2 hours

11. Two chickens lay 6 eggs in 24 hours. How many chickens will lay 24 eggs in 24 hours? 8 chickens

12. 7/8+ 9/10+6/5. 2 39/40

13. 0.9divided 3 0.3

14. Percentage word problem 54% of $789.56? $426.36

15. 0.5:20: x: 200. 5

16. 6 clients are throwing a party & each cake serves 24 servings & has a party of 70 & 3 staff. How

many cakes are needed? 4 cakes

17. x=11 x+44/2(x). 253

18. 2100 in military time? 9pm

19. A farmer has 240 acres under cultivation at the cost of $188.99 per acre. If he averages a yield of 60

bushels per acre, what profit is expected if the price per bushel is $5.67?

First figure out total cost cultivation. $189.99 per acre x 240 acres = $45,357.60. So basically it

costs the farmer $45,357.60 to maintain 240 acres. Next, figure out how much he earns per

bushel. 60 bushels per acre x 240 acres- 14,400 bushels total. 14,400 x $5.67 (cost per bushel) =

$81,648 $81,648 is how much he earns, but you have to subtract $45,357.60 because that’s how

much he is losing (spending) to maintain his farm

$81,648- $45,357.60 = $36,290.40

20. A man is reading a thick book. If he reads two chapters a day how long will it take him to read the

book if there are 6 pages per chapter & 798 pg? 66.5 (67 rounded)

21. 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 – 7days.

22. 12 1/8 - 9 1⁄2. 2 5/8

23. 2/3+1/6+2/5. 1 7/30

24. 22 4/13-21 2/3. 25/39

25. x:500:3:1000. 1.5

26. 2 5/8-7/8. 1 3⁄4

27. 12 5/6 divided 4 2/3. 2 3⁄4

28. 7 7/10 - 3 4/5. 3 9/10

29. A ride requires you to be 48 inches, what height would you have to be in feet to ride it. 4ft

30. The physician tells a woman who usually drinks 5 cup of coffee daily to cut down her consumption

by 75%. If this complaint is with physician's instructions, how many ounces of coffee is she allowed

daily? I got 3.75. The answer is 10. It's asking for ounces so you have to convert cups to ounces first. 5

cups times 8 ounces is 40 ounces. She's allowed 25%, so 40 ounces times .25= 10 ounces

31. A library contains 67, 982 books. The children's section represents 1/3 of the total books. Of the

remaining books, 75% are fiction. How many books are in the fiction section? 33,991

32. There is 48 students in a class. 7 out of 8 are females what percent are females. 87%

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

6190/ 216= 29 more teachers

34. A mom is planning a birthday and wants each kid to have 15 balloons. The balloons come in pack

of 50, how many packs will she need for 10 kids? 3 packs

35. A class has 25 students 44% of the students are boys. How many boys are in class? x/25 44%/100=

11 boys

36. A person Drove from 8am Tuesday to 5pm Wednesday. Total drive 396 miles. He has lunch for 30

mins on Tuesday and sleep overnight from 7pm Tuesday and go back to drive at 5am Wednesday. On

Wednesday he has 30 min for lunch. What is the average speed that he drives? 18 mph

37. 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? 50 miles x 3 hours= 150 60 miles x 2hours= 120 add both

numbers together 150 + 120= 270. 2nd step. Add the time 3+2= 5 hours. 3rd step. 270/5= 54 mph was

the average speed

38. Diaper Question A mother changes a baby diaper 6 times a day how many times does she change it

in a year?- 2190

39. How many ounces are in 3 gallons? 384 oz

40. 3km is equal to how many meters? 3000 m

41. 3/4 pints is how many ounces? 12 oz

1. Race question the 24 mile word math problem( Rounded to the tenths)

Sarah ran a 24 mile race. She ran 6 miles in 1.6 hours, 6 miles in 1.2 hours, 6 miles in 1.3 hours 6 miles in1.5

hours. How long did it take her to finish the race? 5 1⁄2 hrs

2. Cake question

There was a word problem that said 6 clients are throwing a party & each cake serves 24 servings & has a party

of 70 & 3 staff. How many cakes are needed? 4 cakes

3. The paper clip

An office worker mails 25 envelopes to customers each day. Every envelope contains 3 reports with a paper clip

containing 3 reports with a paperclip 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 0r 7 days

4. Word problem (something 1ml= 500 how much is 1.5mg) 3 mils

5. 77/6 x 3/14 = 11/4 = 2 3/4

6. 77/10- 19/5 = 39/10 = 3 9/10

7. 12-7 4/5 (option is choose was 5 4/5?) = 4 1/5

8. If a dice is rolled 1time what is the percent rolling a 5? 16.67%

9. if a dice is rolled 1 time what is the percent rolling an even number? 50%

10. Sally ate 0.35 of her lunch john ate 75%. Who ate more? Answer: John ate more

11. Diaper Question

A mother changes a baby diaper 6 times a day, how many times does she change it in a year? 6x365= 2190

12. Balloons question

A mom is planning a birthday and wants each kid to have 15 balloons. The balloons come in a pack of 50, How

many packs will she need for 10 kids? 3 packs

13. Driving questions

A person drove from 8am Tuesday to 5pm Wednesday. Total drive 396 miles. He has lunch for 30 mins on

Tuesday, sleeps at 7pm and goes back to drive at 5am Wednesday. On Wednesday he has 30 min for lunch.

What is the average speed that he drives?

● Tuesday 8am-7pm = 11 hrs drive - 30 minute lunch = 10.5 hrs

● Wednesday 5am-5pm = 12 hrs drive - 30 minute lunch = 11.5 hrs

● Total hrs drive = 10.5 hrs + 11.5 hrs = 22 hrs (time)

● D (distance) = R(avg rate of spd) x T (time)

● 396 = R(22hrs) = 18 mph

14. Cat question

There are 7 girls and each girl has 7 cats, how many legs are in the group? 210 legs

15. If Alice consumes two times as many calories as Claire, and Claire consumes 2,500 calories a day. How

many calories does Alice consume a week? If Alice consumes twice as many calories as Claire, and Claire

consumes 2,500 every day, then Alice will consume 5,000 per day. The question asks how many calories Alice

will consume in a week, so: 5,000*7= 35,000 calories

35,000 calories

16. Train A leaves the station at 1:45 traveling at a constant speed of 65 mph. If it arrives at its destination at

3:15, how many miles did it travel? If the train leaves at 1:45 and arrives at 3:15 it has been traveling for 1.5

hours. to find how far it has traveled, we multiply by the speed: 1.5*65=97.5

97.5 miles

17. Leslie is blowing up one of her favorite photographs to hang on her wall. If the photo's original length and

height were 8 inches and 15 inches, and the new height is 4 feet, how many feet must the new picture be? 2.1 ft

18. If Larry can wash 50 cars in 20 minutes, how many minutes will it take him to wash 80 cars? 32 mins

19. A runner leaves his house at 7:45 for a morning run. If he travels at an average speed of 6 mph and gets

back home at 10:00, how many miles did he run? If the runner is out from 7:45 to 10:00, he runs for 2:15.

2;15= 2.25 hours. Since he travels at an average of 6mph, his total travel distance is 2.25*6= 13.5 miles.

13.5 miles

20. A bowling team consists of 34 members, and 18 are male. If 4 females leave the team, what percent of the

remaining members are male? 60%

21. If Andy runs five times as long as Jake and Jake runs 24.5 miles each week, how many miles does Andy run

in a day? 5 x 24.5 miles/week = 122.5 miles/week. 122.5/7 days = 17.5 miles/day

22. Two workers can finish building a play set in 18 hours. How long will it take 4 workers to build 3 play sets?

If 2 workers can finish a play set in 18 hours, it would take half the time, or 9 hours, to finish the play set with 4

workers. It would then take 93 hours to finish building 3 play sets: 9 hours x 3 playsets=27 hours.

23. If Randy sells 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, on

average, how many does Randy sell each month?

 If Randy sels 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, then

randy sells 8*690=5,520 vacuum cleaners per year. So: 5,520/12 months = 460 vacuum cleaners per month

460 vacuums/month

24. A marathon runner is training for his next race. On his daily run he completes 21.6 mile and burns 2,274

calories. What is his rate of calories burned per mile? 2,274/21.6 = 105.28 rate of calories burned per mile

25. A baker can bake 4 cakes with 10 cups of sugar. If he has a 30 cup bag that is 1/2 full, how many cakes can

he bake? If the 30c bag of sugar is 1/2 full, there are 15c left. If the baker can bake 4 cakes with 10 c, he can

bake 2 with 5. therefore he can bake 2*3 = 6 cakes

26. Two buildings in downtown Chicago stand across the river from each other. The first building's height is

1,700 feet and it casts a shadow that is 525 feet long. If the second building's height is 1,450 feet, how long will

its shadow be at the same time of day (round to the nearest foot)?

If the height of the first building is 1,700ft while its shadow is 525ft, and the second building's height is 1,450ft

tall, it sets up this proportion: 1,700/525=1,450/x. By cross multiplying and solving for x we find:

1,700x=761,250; x=448ft long

*hint for temp question use this formula: 5(F)= 9(c) + 160 ( plug in the number and solve)

A saying to help you remember the formula 5finger= 9cat has 9 lives +160

26. If 6 textbooks cost $354 , how much do 13 textbooks cost? if 6 textbooks cost $354, then 1 textbook costs:

$354/6= $59. Since 1 textbook costs $59, 13 textbooks will cost $59*13= $767

27. Jessie can answer multiplication problems at a rate of 6 problems every 20 seconds. If she has a 10 minute

test with 175 questions on it, will she finish in time? If Jessie can answer 6 questions in 20 seconds, and there

are 60 seconds in a minute, she can answer 36=18 questions each minute. Since the test is 10 minutes long, she

can answer 1018=180 questions. therefore, YES, she will finish the 175 question test and could even complete

5 more.

28. A bookstore has 50% more fantasy books than biographies. What is the ratio of fantasy books to

biographies? If there are 50% more fantasy books than biographies, then we can create false numbers and say

that if there are 100 biographies, there will be 150 fantasy books. The ratio of fantasy books to biographies,

then, is 150: 100. dividing by 50, the ratio simplifies to 3:2

MATH WORD PROBLEMS

1. 1. Mia walks away from her desk to refill her 1-liter water bottle. On the way back to her desk Mia

bumps into Mike and spills water on him. She still has 771 mL left. How many milliliters of water

did Mia lose?

1L = 1000 mL.

1000mL - 771mL = 229 mL of water is lost.

2. Elizabeth has 1 liter of soda. She shares it with three of her friends. She gives 300 mL to William, 200

mL to Paul, and 250 mL with Tasha. How many milliliters of soda do Elizabeth have left for herself?

1L = 1000 mL.

300 mL + 200 mL + 250mL = 750 mL.

1000 mL - 750 mL = 250 mL of soda is left for herself

3. Leo has lunch in the cafeteria every day with his 2 best friends. For lunch they each get a 300 mL

carton of milk. Leo’s friend Lexi does not like milk, so she gives him her carton of milk. Jade also

gives him half of her carton because she is full. How many milliliters of milk does Leo have?

Each has 300 mL of milk. Lexi does not drink milk, so she gave Leo her milk (300 + 300 = 600

mL). Jade gave Leo half of her carton (300/0.5 = 150 mL). So now Leo has (600 +150) 750 mL

of milk.

4. Diara is working on her science fair project. She is building a windmill waterfall. Diara needs a total

of 2.5 L of water to complete her project. She already has four 250 mL containers and one 500 mL

container. How many more milliliters does Diara need to complete her project?

2.5 L x 1000mL/1L = 2500mL

(4 x 250 mL containers = 1000 mL) + (1 x 500 mL container = 500 mL) = 1500 mL

2500 mL - 1500 mL = 1,000 mL more to complete her project

5. Penny, Louise, and Christina have planned to sneak up and pour water on their friend Lorraine. They

have six containers total. Three containers have 250 mL of water, two have 700 mL of water, and one

has 550 mL of water. How many liters of water do they have?

1L = 1000 mL

Poured water total = 6 containers

(750 mL) + (700 mL) + (550 mL) = 2070 mL

2070 mL x (1L/1000mL) = 2.07 L

6. Johnny, Mark, and Anthony fill up some water balloons. Each water balloon holds 300 mL of water.

They throw four balloons at their friend Theodore and three at Julie. Lillian sees what they are doing

and pops the remaining three balloons, so they cannot throw any at her. How many liters of water

were in the balloons?

Each water balloon = 300 mL water

Theodore = 4 balloons = 4 x 300 = 1200 mL

Julie = 3 balloons = 3 x 300 = 900 mL

Lillian = pops 3 balloons = 3 x 300 = 900 mL

1200 + 900 + 900 = 3000 mL

3000 mL x (1L/1000 mL) = 3 L

7. Lindsay and Maize go for a hike. During the hike Lindsay misguides them and they end up lost. They

each have 1 liter of water. Maize drinks all but 467 mL of his water. How many milliliters of water

does Maize have left?

1 L = 1000 mL

Each have 1 liter of water

Maize drinks 467 mL of water

1000 mL - 467 mL = 533 mL

8. Benjamin has 2 liters of water. He only drinks 4 mouthfuls of water every hour. If a mouthful is

50 mL, how many hours will his water last?

1 L = 1000 mL

Benjamin = 2 liters of water and drank 4 mouthful of water/hr

2 L = 2000 mL

Mouthful = 50 mL

4 x 50 = 200 mL/hr

2000/200 = 10 hrs

9. Phil, Raymond, and Hannah want to make ice cream. They will need to buy 1 liter of cream. They

only sell cream in 200 mL containers at the store. How many containers will they need?

1 L = 1000 mL

1 container = 200 mL

1000/200 = 5 containers of ice cream

10. 10. Ethan and Charlotte go to the store to buy water guns. Ethan’s water gun holds 1.25 liters of water.

Charlotte’s water gun holds 1.75 liters of water. How many milliliters of water will they need to fill up

both guns?

1 L = 1000 mL

Ethan’s water gun = 1.25 L of water

Charlotte’s = 1.75 L

1.25 + 1.75 = 3 L

3 L x (1000 mL/1L) = 3,000 mL

Units of Capacity

1 cup (c) 8 fluid ounces (fl. oz.)

1 pint (pt) 2 cups (c)

1 quart (qt) 4 cups (c)

1 quart (qt) 2 pints (pt)

1 gallon (gal) 4 quart (qt)

IV Xtra Large Corn Dog Meal

1. 1 2/3 + 4/7. 2 5/21

2. 1.25 X 2.0 . 2.5

3. 8.08 change into a fraction. 8 2/25

4. Change 1/1000 to a ratio..... all u have to do is write 1:1000

5. 0.2 divided by 1.1. 0.18

6. How many fluid ounces are in 2 1/2 gallons. 320 0z

7. How many ml are in 6 liters. 6000ml

8. which fraction is equivalent to 7/28. 1/4

9. 5/12 x 4/9. 2 4/9

10. 1 1/2 divided by 2 . 3/4

11. 0.5:20 :: x:200 ( this is a proportion}. 5

12. 9:X :: 5:300. 540

13.3:10 :: 12:X. 40

14. 7/8 + 9/10+ 6/5. 2 39/40

15. 1/5 to decimal 0.2

16. 32 divided by 8/9. 36

17. x:600 :: 4:20 120

18. 0.9 divided by 3 0.3

19. 3:5 :: x:10 6

20. 5 3/4 divided by ½ 11 ½

21. 0.6: X :: 0.3:2 4

22. How many grams are in 4 kilograms 4000 grams

23. military time for 6 am 0600

24. 2100 in regular time 0900pm

25.0.75 put into proportion and reduce to fraction ¾

26. 0.12 change to percent 12%

1. 12 5/6 divided by 4 2/3. 2 ¾

2. 5 1/3 + 3 ½. 8 5/6

3. 240:x:80:0.8. 2.4

4. 32 divided 8/9. 36

5. 6gm to mg. 6000 mg

6. 9/10- 2/5. ½

7. 5 3/4 divided ½. 11 ½

8. 4/9x1 4/5x 2/5. 8/25

9. 1/4+3/8. 5/8

10. Sarah ran a 24 mile race. She ran 6 miles 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 or 5 ½ hours

11. Two chickens lay 6 eggs in 24 hours. How many chickens will lay 24 eggs in 24 hours? 8 chickens

12. 7/8+ 9/10+6/5. 2 39/40

13. 0.9divided 3 0.3

14. Percentage word problem 54% of $789.56? $426.36

15. 0.5:20: x: 200. 5

16. 6 clients are throwing a party & each cake serves 24 servings & has a party of 70 & 3 staff. How many

cakes are needed? 2 3/4 cakes

17. x=11 x+44/2(x). 253

18. 2100 in military time? 9pm

19. A farmer has 240 acres under cultivation at the cost of $188.99 per 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

First figure out total cost cultivation. $189.99 per acre x 240 acres = $45,357.60

So basically it costs the farmer $45,357.60 to maintain 240 acres. Next, figure out how much he earns

per bushel. 60 bushels per acre x 240 acres- 14,400 bushel total. 14,400 x $5.67 (cost per bushel) =

$81,648

$81,648 is how much he earns, but you have to subtract $45,357.60 because that’s how much he is

losing (spending) to maintain his farm

$81,648- $45,357.60 = $36,290.40

20. 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)

21. 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 – 7days.

22. 12 1/8 - 9 ½. 2 5/8

23. 2/3+1/6+2/5. 1 7/30

24. 22 4/13-21 2/3. 25/39

25. x:500:3:1000. 1.5

26. 2 5/8-7/8. 1 ¾

27. 12 5/6 divided 4 2/3. 2 ¾

28. 7 7/10 - 3 4/5. 3 9/10

29. A ride requires you to be 48 inches what height would you have to be in feet to ride it. 4ft

30. The physician tells a woman who usually drinks 5 cup of coffee daily to cut down her consumption by 75%.

If this complaint with physician's instructions, how many ounces of coffee is she allowed daily? I got 3.75. The

answer is 10. It's asking for ounces so you have to convert cups to ounces first. 5 cups times 8 ounces is 40

ounces. She's allowed 25%, so 40 ounces times .25= 10 ounces

31. A library contains 67, 982 books. The children's section represents 1/3 of the total books. Of the remaining

books, 75% are fiction. How many books are in the fiction section? 33,991

32. There is 48 students in a class. 7 out of 8 are females what percent are females. 87%

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

6190/ 216= 29 more teachers

34. A mom is planning a birthday and wants each kid to have 15 balloons. The balloons come in pack of 50,

how many packs will she need for 10 kids? 3 packs

35. A class has 25 students 44% of the students are boys. How many boys are in class? x/25

44%/100= 11 boys

36. A person Drove from 8am Tuesday to 5pm Wednesday. Total drive 3 9 6 miles. He have lunch for 3 0 mins

on Tuesday and sleep overnight from 7pm Tuesday and go back to drive at 5am Wednesday. On Wednesday he

have 3 0 min for lunch. What is the average speed that he drives?

37. 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? 50 miles x 3 hours= 150 60 miles x 2hours= 120 add both numbers

together 150 + 120= 270. 2nd step. Add the time 3+2= 5 hours. 3rd step. 270/5= 54 mph was the average speed

38. Diaper Question A mother changes a baby diaper 6 times a day how many times does she change it in a

year?- 2190

39. How many ounces are in 3 gallons? 384

40. 3km is equal to how many meter? 3000

41. 3/4 pints is how many ounces? 12

1. Race question the 24 mile word math problem( Rounded to the tenths)

Sarah ran a 24 mile race. She ran 6 miles in 1.6 hours, 6 miles in 1.2 hours, 6 miles in 1.3 hours 6 miles in1.5

hours. How long did it take her to finish the race? 5 ½ hrs

2. Cake question

There was a word problem that said 6 clients are throwing a party & each cake serves 24 servings & has a party

of 70 & 3 staff. How many cakes are needed? 2 ¾ cakes

3. The paper clip

An office worker mails 25 envelopes to customers each day. Every envelope contains 3 reports with a paper clip

contains 3 report with a paper clip on each one. The supply of paper clip 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 0r 7 days

4. Word problem (something 1ml= 500 how much is 1.5mg) options5,3,......

5. 77/6 x 3/14

6. 77/10- 19/5

7. 12-7 4/5 (option is choose was 5 4/5?)

8. If a dice is rolled 1time what is the percent rolling a 5? 16.67%

9. if a dice is rolled 1 time what is the percent rolling an even number? 50%

10. Sally are 0.35 of her lunch john ate 75%. Who ate more? Answer: John ate more

11. Diaper Question

A mother changes a baby diaper 6 times a day, how many times does she change it in a year? 6x365= 2190

12. Balloons question

A mom is planning a birthday and wants each kid to have 15 balloons. The balloons come in pack of 50, How

many packs will she need for 10 kids? 3 packs

13. Driving questions

A person drove from 8am Tuesday to 5pmWednesday. Total drive 396 miles. He have lunch for 30 mins on

Tuesday and go back to drive at 5am Wednesday. On Wednesday he have 30 min for lunch. What is the average

speed that he drive?

14. Cat question

There is 7 girls and each girl has 7 cats, how many legs are in the group? 210 legs

15. If Alice consumes two times as many calories as Claire, and Claire consumes 2,500 calories a day. How many

calories does Alice consume a week? 35,000

16. Train A leaves the station at 1:45 traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15,

how many miles did it travel? 97.5

17. Leslie is blowing up one of her favorite photographs to hang on her wall. If the photo's original length and

height were 8 inches and 15 inches, and the new height is 4 feet, how many feet must the new picture be? 2.1

18. If Larry can wash 50 cars in 20 minutes, how many minutes will it take him to wash 80 cars? 32

19. A runner leaves his house at 7:45 for a morning run. If he travels at an average speed of 6 mph and gets back

home at 10:00, how many miles did he run? 13.5

20. A bowling team consists of 34 members, and 18 are male. If 4 females leave the team, what percent of the

remaining members are male? 60%

21. If Andy runs five times as long as Jake and Jake runs 24.5 miles each week, how many miles does Andy run

in a day? 17.5

22. Two workers can finish building a play set in 18 hours. How long will it take 4 workers to build 3 play sets?

27

23. If Randy sells 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, on

average, how many does Randy sell each month? 460

24. A marathon runner is training for his next race. On his daily run he completes 21.6 mile and burns 2,274

calories. What is his rate of calories burned per mile? 105.28

25. A baker can bake 4 cakes with 10 cups of sugar. If he has a 30 cup bag that is 1/2 full, how many cakes can he

bake? 6 cakes

26. Two buildings in downtown Chicago stand across the river from each other. The first building's height is

1,700 feet and it casts a shadow that is 525 feet long. If the second building's height is 1,450 feet, how long will

its shadow be at the same time of day (round to the nearest foot)? 448

*hint for temp question use this formula:

5(F)= 9(c) + 160 ( plug in the number and solve)

A saying to help you remember the formula 5finger= 9cat has 9 lives +160

Convert Units Word Problems

1. James has 14,500 g of sand in his sandbox. He brings home another 7,400 g of sand from the beach

to add to his sandbox. How many kilograms of sand does James have in his sandbox now?

2. Coach Kelly brought 32 L of water to the football game, she divided the water equally between 8

water bottles. How many milliliters of water did Coach Kelly put in each water bottle?

3. The library is 14.2 km away from Daniel’s apartment. The bus takes Daniel 11.15 km of the way to

the library. He has to walk the remaining distance. How many meters does Daniel have to walk?

4. Emma bought two 2-liter bottles and one 1-liter bottle of fruit punch for her movie night. She wants to

make sure she has enough so she and her 6 friends can each have at least 2 glasses of fruit punch.

Each glass holds 360 milliliters. How many milliliters of fruit punch does Emma need for her movie

night?

5. Jemma filled one-fourth of a barrel with compost on Saturday. Then she filled the remaining space

with 4200 g of compost on Sunday. How many kilograms of compost are in the barrel?

6. Sam wants to make fruit punch for her party. The recipe calls for 1 liter of ginger ale, 2,000

milliliters of mixed berry juice and ½ liter of orange juice. Sam wants to double the recipe. How

many liters of fruit punch will Sam have to serve at her party?

7. A newborn infant weighs 112 oz but hospital regulations require the weight to be recorded in

kilograms. What is the baby's weight in kilograms?

8. An American man is weighed at a physician's office in France (not knowing the scale is a kg scale).

He is surprised when his weight is 96 (kg). What is his weight in pounds?

9. John eats 2 sandwiches daily every weekday. He likes to toast each slice of bread in a pan with 1

tablespoon of olive oil. How many days will a 60-ounce bottle of olive oil last him?

10. John rode 2 kilometers on his bike. His sister Sally rode 3000 meters on her bike. Who rode the

farthest? How many kilometers did they ride?

11. Skylar goes to a pumpkin patch and picks out a pumpkin that weighs 6,000 grams. How many

kilograms is the pumpkin?

12. If a gallon of kerosene costs $4.95 and a quart of kerosene costs $1.79, how much is saved by buying

the kerosene in gallons instead of quarts, if a person needs 3 gallons of kerosene?

13. Gina mixed paint to make her favorite shade of purple. She filled up 1/3 of the container with red

paint. Then she filled the remaining space with 4 L of blue paint. How many milliliters of paint did

Ginamix?

14. Helen needs to buy cord to make necklaces. She compared prices at five different stores. She made a

table that shows the length and price of cord at each store. Which store has the best deal?

Cord Length Cord Cost

Store A 70 cm $7.05

Store B 140 cm $13.95

Store C 0.7 m $6.99

Store D 1400 mm $15.00

Store E 1.4 m $14.95

15. A carpenter had a board that was 5.28 m long. She used her circular saw to cut 46 cm off the end of

the board. How many cm long was the board after the carpenter cut it?

16. A local hospital recently conducted a blood drive. They collected a total of 112 pints of blood from

donors. How many gallons of blood did they collect?

17. Mr. Lee should have a fluid intake of 2 liters. He has drunk the following: 300ml of coffee twice,

200ml of tea, 150ml of orange juice and 400ml of water. How much more fluid should Mr. Lee take

to reach the 2 liters required?

18. Your patient drinks 15 ounces of orange juice. You need to enter her intake in mL. How many mL of

orange juice did she consume?

19. Monica wants to bake a cake for her best friend’s birthday party tonight. Monica has 2 pints of

milk. The recipe calls for 1 gallon of milk. How many more pints of milk does Monica need?

20. Scott needs to measure 12 pints of juice, but he only has a 1-cup measuring cup. How many cups

will he need to pour?

21. Karen has 3 quarts of apple juice. To equally pour 32 cups of apple juice for her preschool class

she needs 2 gallons of apple juice. How many more quarts does Karen need?

22. In August Teresa bought a 21-pound bag of dog food. Her dog ate 4/7 of the food in one month.

How many ounces of food did the dog eat daily?

23. Tobias had a 10-ounce glass of milk with his breakfast this morning. He drank all but 1/4 of the

glass. How many mL of milk did he drink?

24. Randy just cleaned his 100-gallon fish tank and wants to fill it back up with water. He has already

put 157 quarts of water in the tank. How many more quarts will he need to fill the tank

completely?

25. Bethany bought 13 quarts of orange juice to make mimosas for her bridesmaid brunch this weekend.

One mimosa calls for 1 cup of orange juice. After the party was over Bethany had 8 pints of orange

juice left. How many mimosas were made?

26. Chad was not feeling well. He wanted to draw a hot bath to soak in. His bathtub has a

capacity of 64 gallons. How many quarts of water will it take to fill up his bathtub?

27. Katie is a manager at a local restaurant. She needs to place her weekly order for chicken. Last week

Katie placed an order for 2456 ounces of chicken. The restaurant used all but 568 ounces of chicken.

How many pounds of chicken did the restaurant use last week? How many pounds of chicken were

wasted?

28. Eric wanted to start drinking more water daily, so he bought a new water bottle to carry with him

wherever he goes. The water bottle holds 17 ounces. His dietitian recommended that he drink half

his weight in ounces daily. If Eric weighs 272 pounds, how many times daily will he need to refill

his water jug?

29. Felica made a 1-liter protein shake by blending 2 cups of almond milk, 1 pint of water, 1 banana, 1

tbsp of peanut butter, and 2 tablespoons of protein powder. Felica drank all but 232 mL of the protein

shake. How many mL did Felica drink?

`

30. Doris recently came down with a cold. Her doctor prescribed her a 12-fluid ounce bottle of cough

syrup to take as needed. The directions say to take 15 mL twice daily. Doris uses a tablespoon to

take her doses. After 9 days Doris feels well enough to stop taking the medicine. How many

tablespoons are left in the bottle

ANSWERS

1. 21.9 kilograms

2. 4,000 milliliters

3. 3,050 meters

4. 5,040 milliliters

5. 5.6 kilograms

6. 8 liters

7. 3.18 kilograms

8. 211.2 pounds

9. 30 days

10. Sally, 3 kilometers

11. 6 kilograms

12. $6.63

13. 6,000 milliliters

14. Store B

15. 482 centimeters

16. 14 gallons

17. 650 mL

18. 450 mL

19. 6 pints

20. 24 cups

21. 5 quarts

22. 6.4 ounces

23. 225 mL

24. 243 quarts

25. 36 mimosas

26. 256 quarts

27. 118 pounds used, 35 pounds, 8 ounces wasted

28. 8

29. 768 mL

30. 6 tablespoons