HESI Math study guide

What time is 11:00 am in military time? a. 0100 hours b. 1100 hours c. 1200 hours d. 0200 hours

b. 1100 hours For am time, remove the colon.

Express 515 in Roman numerals a. CVI b. DCV c. DXV d. VDV

c. DXV 500=D 10=X 5=V 515=500+10+5=DXV

What number is CCLI? a. 1111 b. 1151 c. 151 d. 251

d. 251 C=100 L=50 I=1 CCLI=100+100+50+1=251

Multiply and reduce 54/55×5/9 a. 59/64 b. 270/495 c. 6/11 d. 5/9

Multiply the numerators (54×5=270) Multiply the denominators (55×9=495) The non-reduced fraction is 270/495, but it needs to be reduced. 270 & 495 are both divisible by 5, giving 54/99. 54 & 99 are both divisible by 9, giving 6/11, which cannot be reduced further. Alternative technique: Follow the steps above to get the fraction 270/495. Convert to a decimal. 270÷495=0.545455 Convert the answers to decimals and find the one that matches. 6÷11=0.545455 Be careful: 270/495 is on the list of answers, but it is wrong because it can be reduced.

Divide, express with remainder 188÷16 a. 1 3/4 b. 111 3/4 c. 10 3/4 d. 11 3/4

Using a calculator, perform 188÷16 to get 11.75. The whole number part of the answer is 11, so we can immediately choose answer d.

What time is 5:00 pm in military time? a. 1500 hours b. 1700 hours c. 0500 hours d. 0700 hours

b. 1700 hours For pm time, remove the colon and add 1200. 500+1200=1700

Subtract and express in reduced form 43/45−11/15 a. 10/45 b. 16/15 c. 32/30 d. 2/9

a. 10/45 Find least common denominator of 43/45 and 11/15 (45). Convert both fractions (43/45 and 33/45) and subtract them (10/45). Alternative technique: use calculator to convert fractions in problem to decimals and subtract them. 43÷45=0.955556 11÷15=0.733333 0.955556-0.733333=0.222222 Convert the answers to decimals and find the one that matches. 10÷45=0.222222

A bucket can hold 11.4 liters of water. A kiddie pool needs 35 gallons of water to be full. How many times will the bucket need to be filled to fill the kiddie pool? a. 12 b. 35 c. 11 d. 45

a. 12 Calculate how many gallons the bucket holds: 11.4 L × 1 gal/3.8 L = 3 gal How many buckets to fill the pool? 35÷3=11.67 Since this is more than 11 but less than 12, we have to fill the bucket 12 times.

The hospital has a nurse to patient ratio of 1:25. If there are a maximum of 325 patients admitted at a time, how many nurses are there? a. 13 nurses b. 25 nurses c. 325 nurses d. 12 nurses

a. 13 Set up the ratio as a fraction: 1 nurse ? nurses −−−−−−− = −−−−−−−− 25 patients 325 patients Cross-multiply: 1×325 = ? × 25 Divide both sides by 25: (1×325)÷25=(?×25)÷25 The 25s on the right side cancel, so (1×325)÷25=? ?=13

Convert 1300 hours into a 12-hour clock time. a. 1:00 pm b. 11:00 am c. 1:00 am d. 11:00 pm

a. 1:00 pm If the military time is greater than 1200, subtract 12 from the first two digits, add a colon, then the the last two digits, then pm.

Divide and reduce 4/13÷27/169 a. 52/27 b. 51/27 c. 52/29 d. 51/29

a. 52/27 4/13÷27/169 is the same as 4/13×169/27. Multiply the numerators and denominators to get 676/351. Convert to a decimal to get 1.92592593. Convert the answers to decimals, and choose the one that matches. 52÷27=1.92592593

Multiply and reduce 15/23×54/127 a. 810/2,921 b. 81/292 c. 69/150 d. 810/2929

a. 810/2,921 Multiply the numerators (15×54=810) Multiply the denominators (23×127=2,921) The non-reduced fraction is 810/2,921, which cannot be reduced further. Alternative technique: Follow the steps above to get the fraction 810/2921. Convert to a decimal. 810÷2921=0.277302 Convert the answers to decimals and find the one that matches. Only the original non-reduced fraction, 810/2921, matches, so that is our answer.

Convert 0830 hour into a 12-hour clock time. a. 8:30 pm b. 8:30 am c. 11:30 am d. 11:30 pm

b. 8:30 am If the military time is less than 1200, add a colon between the first two and last two digits, then am. If it starts with a 0, you can drop the 0.

Express 111 in Roman numerals a. CCI b. CXI c. DDI d. DXI

b. CXI 100=C 10=X 1=I 111=100+10+1=CXI

A National Hockey League store in the state of Michigan advertises 50% off all items. Sales tax in Michigan is 6%. How much would a hat originally priced at $32.99 and a jersey originally priced at $64.99 cost during this sale? Round to the nearest penny. a. $97.98 b. $103.86 c. $51.93 d. $48.99

c. $51.93 Add the original costs of the two items. $32.99+$64.99=$97.98 Find the 50% discount (50%=0.50) $97.98×0.50=$48.99 Subtract the discount from the original amount: $97.98-$48.99=$48.99 Now find the sales tax (6%=0.06) $48.99×0.06=$2.9394, round to $2.94 Add the sales tax to the base price: $48.99+$2.94=$51.93

Divide and reduce 26/55÷26/11 a. 52/11 b. 26/11 c. 1/5 d. 2/5

c. 1/5 26/55÷26/11 is the same as 26/55×11/26. The 26s cancel, giving 11/55. Both are divisible by 11, so that reduces to 1/5.

Solve for x: 2x/5−1=59 a. 60 b. 145 c. 150 d. 115

c. 150 2x/5−1=59 Add 1 to both sides: 2x/5=60 Multiply both sides by 5: 2x=300 Divide both sides by 2: x=150

Subtract and express in reduced form 23/24−1/6 a. 22/18 b. 11/9 c. 19/24 d. 4/5

c. 19/24 Find least common denominator of 23/24 and 1/6 (24). Convert both fractions (23/24 and 4/24) and subtract them (19/24). Alternative technique: use calculator to convert fractions in problem to decimals and subtract them. 23÷24=0.958333 1÷6=0.166667 0.958333-0.166667=0.791666 Convert the answers to decimals and find the one that matches. 19÷24=0.791667 (close enough match)

Add and express in reduced form 5/12 + 4/9 a. 9/17 b. 1/3 c. 31/36 d. 3/5

c. 31/36 Find least common denominator of 5/12 and 4/9 (36). Convert both fractions (15/36 and 16/36) and add them (31/36). Alternative technique: use calculator to convert fractions in problem to decimals and add them. 5÷12=0.416667 4÷9=0.44444 0.416667+0.44444=0.861111 Convert the answers to decimals and find the one that matches. 31÷36=0.861111

Add and express in reduced form 14/33 + 10/11 a. 2/11 b. 6/11 c. 4/3 d. 44/33

c. 4/3 Find least common denominator of 14/33 and 10/11 (33). Convert both fractions (14/33 and 30/33) and add them (44/33). 44 and 33 are both divisible by 11, so 44/33 reduces to 4/3. Alternative technique: use calculator to convert fractions in problem to decimals and add them. 14÷33=0.424242 10÷11=0.909090 0.424242+0.909090=1.333333 Convert the answers to decimals and find the one that matches. 4÷3=1.333333 Be careful: 44/33 is on the list of answers, but it is wrong because it can be reduced.

Store brand coffee beans cost $1.23 per pound. A local coffee bean roaster charges $1.98 per 1½ pounds. How much more would 5 pounds from the local roaster cost than 5 pounds of the store brand? a. $0.55 b. $1.55 c. $1.45 d. $0.45

d. $0.45 Calculate the cost of five pounds of store brand: $1.23 per pound × 5 pounds = 6.15 Calculate the cost of one pound of local: $1.98 per 1½ pounds means $1.98÷1½=1.32 (per means ÷). Now calculate the cost of 5 pounds of local: $1.32×5 pounds=$6.60. The price difference is $6.60-$6.15=$0.45.

Paint Inc. charges $2000 for painting the first 1,800 feet of trim on a house and $1.00 per foot for each foot after. How much would it cost to paint a house with 3,125 feet of trim? a. $3125 b. $2000 c. $5125 d. $3325

d. $3325 1800 feet costs $2000. 3125-1800=1325 additional feet costs $1325 ($1 per foot). $2000+$1325=$3325

What number is MCDXXXII? a. 142 b. 1642 c. 1632 d. 1432

d. 1432 M=1000 C=100 D=500 X=10 I=1 Since the "CD" has a smaller number (100) in front of a larger number (500), you subtract the smaller number from the larger one. This gives you: MCDXXXII=1000+400+10+10+10+1+1=1432

Divide, express with remainder 1,202÷44 a. 27 2/7 b. 2 7/22 c. 7 2/7 d. 27 7/22

d. 27 7/22 Using a calculator, perform 1,202÷44 to get 27.318. The whole number part of the answer is 27, so we can immediately eliminate b. and c. Is the decimal part of the answer, 0.318, closer to the fraction 2/7 or 7/22? 2÷7=0.2857 7÷22=0.3182 7/22 is closer to 0.318, so the answer is 27 7/22

A hospital has a bed to room ratio of 2:1. If there are 145 rooms, how many beds are there? a. 145 beds b. 2 beds c. 90 beds d. 290 beds

d. 290 beds Set up the ratio as a fraction: 2 beds ? beds −−−−− = −−−−−−− 1 room 145 rooms Cross-multiply: 2×145= ? × 1 2×145= ? ?=290