Math Busters Reproducible Worksheets - Enslow Publishers

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Name __________________________________ Date ___________________

Commission and Income

a. Liz sold a house for $150,000. Her commission is 3%.

How much did she earn on the sale?

b. Emmanuel sold 5 acres of land for $35,000. His commission

was $1,225. What was his commission rate?

c. A fabric store sells sewing machines on a 5% commission.

Sandi sold a $1,600 machine. How much was her commission?

d. A sale of $2,500 paid $150 in commission. What is the

commission rate?

e. Dion earned $2,500 last year. If 35% was taken out in

deductions, what was Dion’s net income?

f. Mr O’Dell received a commission of $1,500. If 21% was taken out

in deductions, what was his net income?

g. Pippa’s commission was $15,000. $5,250 was taken out in

deductions. What percent was taken out in deductions?

h. Isabel earned $869. If 28% was deducted, what was her net

income?

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Name __________________________________ Date ___________________

Commission and Income

a. The amount of income before taxes and deductions is called

____________________ .

b. The amount of income after taxes and deductions is called

____________________ .

c. In one month, Fiona sold $900 in merchandise. She earned 5%

of her sales. What was the amount of her commission?

d. Moisha earned $2,520 on sales of $42,000.

What is the rate of commission?

e. Francis earned $210. If 20% is deducted, how much is her

net income?

f. Dominic sells appliances on commission.

In one week, he had $2560 in sales.
He earned 9% in commission.
How much was his commission? __________
His deductions came to 25%.
How much was deducted? __________
What was his net income? __________

g. Madeline earns a commission of 15%. She sold $1,200 in

merchandise. She has 32% in deductions.

What was her net income?

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Name __________________________________ Date ___________________

Tips

Use rounding to decide how much to tip. Show your work.

a. A family steak dinner came to $52.80. They wanted to tip

around 20%. About how much should the tip have been?

b. Bryce had lunch at an Italian restaurant. His bill was $15.23.

He wanted to tip around 15%. About how much should the

tip have been?

c. The Suttons took a group of people to dinner. The total bill

was $122.46. About how much is a tip of 15% on $122.46?

d. A hair coloring costs $32. About how much is a 15% tip on $32?

e. Dana and his son had dinner for $23.66. About how much is a

20% tip on their dinner?

f. Misha is a waitress. One patron always leaves at least a 15% tip.

If the bill is $43.62, what is about the least amount she should

expect?

g. Hugh spent $15.00 on a haircut. He left a 20% tip.

How much was the tip?

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Name __________________________________ Date ___________________

Tips

Use mental math to find the amount of each tip.

Cost of Service 10% tip 20% tip

a. $20
b. $100.00
c. $80.00
d. $35.00
e. $48.00
f. $125.00
g. $40.00
h. $500.00

i. Sally had a manicure that cost $50. She wants to leave a 15%

tip. She knows that 10% of 50 is $5. How can she quickly find

the correct amount to tip? How much should she tip?

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
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Name __________________________________ Date ___________________

Simple Interest

a. The amount of money in an account is called ___________ .

b. The percent that is paid on money in an account is called

___________ .

c. What is the formula for simple interest? ___________________

d. Find the simple interest on $1,000 at 5% for 2 years.

e. Find the simple interest on $500 at 4% for 1 year.

f. Find the simple interest on $1,400 at 2.25% for 3.5 years.

g. Find the simple interest on $1,800 at 3% for 10 years.

h. Find the simple interest on $300 at 1.5% for 1 year.

i. Find the simple interest on $650 at 6.5% for 3 years.

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
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Name __________________________________ Date ___________________

Simple Interest

a. Annual means ____ time(s) per year.

b. Semiannual means ____ time(s) per year.

c. Quarterly means ____ time(s) per year.

d. Monthly means ____ time(s) per year.

e. Find the semiannual simple interest on $1,800 at 3%.

f. Find the quarterly simple interest on $1,000 at 5%.

g. The Robinsons borrowed $28,000 at 8.5% for 5 years.

How much simple interest will they pay?

h. A 4-year loan of $8,000 has a simple interest rate of 7%.

How much interest will be paid?

i. Ivan put $620 in a savings account that pays 3.25%. How much

will his savings earn in one year?

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
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Name __________________________________ Date ___________________

Compound Interest

a. Find the compound interest on $600 for 3 years at
5% compounded annually. Show your work.

b. An account compounds quarterly at 4%. If the beginning
balance is $1,000, how much will be in the account at

the end of one year? Show your work. (Hint: Quarterly

means use 0.25 for the time at each compounding.)

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.
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Name __________________________________ Date ___________________

Compound Interest

a. How many times will the interest compound in an
account that compounds quarterly for 10 years?

b. How many times will the interest compound in an
account that compounds monthly for 3 years?

c. Find the interest on $200 at 3% compounded
quarterly for 9 months. Show your work.

d. You deposit $500 in a 4% interest account that
compounds semiannually. At the end of 2 years, how
much will be in the account? Show your work.

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Answers
Ratios
Page 3: a. terms; b. 1:5, 1 to 5, or 1/5; c. 4 to 7; d. 10:33; e. 59/95;
f. 8 to 17, 8:17, 8/17; g. 17 to 25, 17:25, 17/25; h. 17 to 8, 17:8, 17/8;
i. 8 to 25, 8:25, 8/25

Page 4: (Ratio answers may be written in any form) a. 8; b. 2;
c. 3:13; d. 13:16; e. 5:8; f. 4:4; g. 9:12; h. 12:21; i. 21:5

Equivalent Ratios
Page 5: a–h. Answers may vary. Check individually.; i. 20:25,
possible answer 4:5; j. 8:4, possible answer 2:1; k. 4:6, possible
answer 2:3

Page 6: a–h. Answers may vary. Check individually.; i. 15:24,
possible answer 5:8; j. 12:28, possible answer 3:7; k. 90:270,
possible answer 1:3

Reducing Ratios
Page 7: a. 1, 2, 4, 5, 10, 20; b. 1, 2, 3, 4, 6, 8, 12, 24; c. 1, 2, 4; d. 4;
e. possible answer 10:7; f. possible answer 4:5; g. possible answer
2:3; h. 3 to 4; i. 5 to 6; j. 1 to 3; k. 4 to 3; l. 13 to 3

Page 8: a. 1, 2, 4, 8, 16, 32; b. 1, 2, 3, 4, 6, 8, 9, 12, 16, 24, 32, 48, 96;
c. 1, 2, 4, 8, 16, 32; d. 32; e. possible answer 1:3; f. possible answer
4:5; g. possible answer 1:15; h. 7 to 4; i. 8 to 9; j. 11 to 12; k. 4 to 5;
l. 1 to 3

Rates
Page 9: a. 65 mph; b. 30 mpg; c. $3 per lb; d. $30 per hour; e. $4
per gallon; f. 800 km per hour; g. $78 per room

Page 10: a. 3 mph; b. $0.05 per lb; c. 250 mph; d. $5 per hour;
e. 4 mph; f. $4 per lb; g. 30 words per minute

Ratios and Fractions
Page 11: a. 3, 6, 9, 12, 15, 18; b. 5, 10, 15, 20, 25, 30; c. 15; d. 4, 8, 12,
16, 20, 24; e. 10, 20, 30, 40, 50, 60; f. 20; g. 2 to 5; h. 7 to 10;
i. 5 to 3

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Page 12: a. 9 to 2; b. 3 to 2; c. 14 to 3; d. 11 to 1; e. 36 to 25; f. 28 to
99; g. 3 to 2; h. 25 to 42; i. 2 to 3; j. 7 to 24

Ratios and Decimals
Page 13: a. 1.2, 12, 120; b. 62.5, 625, 6,250; c. 115.62, 1,156.2, 11,562;
d. 75.68, 756.8, 7,568; e. 820.51, 8,205.1, 82,051; f. 121.4, 1,214,
12,140; g. 0.06, 0.6, 6; h. 601.8, 6,018, 60,180; i. 387.68, 3,876.8,
38,768; j. 0.0012, 0.012, 0.12; k. 220.58, 2,205.8, 22,058;
l. 41.75, 417.5, 4,175; m. 85.002, 850.02, 8,500.2; n. 8.63, 86.3, 863;
o. 2,007, 20,070, 200,700

Page 14: a. 4 to 1; b. 1 to 5; c. 2 to 1; d. 3 to 2; e. 1 to 50; f. 3 to 5;
g. 1 : 5; h. 5 : 1; i. 1 : 5; j. 3 : 10; k. 8 : 3; l. 50 : 1

Unit Ratios and Rates
Page 15: Decimals or fractions may be used in answers. a. 1 2/3
times as much blue.; b. 1.4 times as much rye.; c. 5 times faster.;
d. 1.8 times larger.; e. 3.5 times as much money.

Page 16: a. $6.50 per hour; b. 23.4 miles per gallon; c. $4.50 per
lb; d. 65.4 miles per hour; e. $1.50 per can; f. 46 km per hour

The Better Buy
Page 17: a. $0.60; b. $0.55; c. $3.30 for 6 cans.; d. 60-tablet bottle;
e. package of 20; f. Lori; g. Answers will vary.

Page 18: a. Individually at 12 ears for $3.00; b. Michelle; c. Miguel;
d. Rodger; e. 2-liter bottle; f. They rode at the same speed.; g. Cody

Distance, Rate, and Time
Page 19: a. 50 mph; b. 1.4 miles per minute; c. 30.5 km per hour;
d. distance = rate x time; e. 520 miles; f. 2 miles; g. 150 km

Page 20: a. 630 miles; b. 440 miles; c. 320 km; d. 3 miles; e. 13.5
miles; f. 60 miles; g. 310 miles; h. 60 km; i. 94 km

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Proportions
Page 21: a. not proportional; b. not proportional; c. not
proportional; d. proportional; e. proportional; f. proportional;
g. proportional; h. not proportional; i. proportional; j. proportional;
k. not proportional; l. proportional

Page 22: a. not proportional; b. proportional; c. not proportional;
d. proportional; e. proportional; f. proportional; g. proportional;
h. not proportional; i. proportional; j. proportional; k. not
proportional; l. proportional

Solving Proportions
Page 23: a. 12; b. 16; c. 2; d. 4; e. 1; f. 2; g. 6; h. 6; i. 5; j. 4; k. 9; l. 1;
m. 60/5 = ?/60, 720 candy bars; n. 1/5 = 8/?, 40 seconds

Page 24: a. 2; b. 16; c. 36; d. 12.8; e. 1; f. 2.4; g. 6; h. 20; i. 5; j. 2.5;
k. 8.25; l. 4; m. 10/80 = 15/?, 120 pounds; n. 8/18 = ?/45, 20 ounces

Ratios in Geometry
Page 25: a. ratio; b. 10 m; c. 12; d. 1.5; e. 15; f. 15 feet

Page 26: a. 165 inches; b. 24 feet; c. 20 inches

Scale Drawings and Models
Page 27: a. smaller; b. larger; c. scale; d. 200 km; e. 24 inches;
f. 16 cm

Page 28: a. 8 inches; b. 0.1 inches; c. 15 inches; d. 75 miles

The Golden Ratio
Page 29: Answers may vary. Check student understanding. a. Yes;
b. No; c. No; d. Yes; e. No; f. No; g. About 14 feet; h. About 40 feet

Page 30: Answers may vary. Check student understanding.

Alternate Proportions
Page 31: a. 2 and 8, 5 and 20; b. 8 and 5, 4 and 2.5; c. 3 and 5,
9 and 15; d. 5 and 10, 9 and 18; e. 8 and 24, 1 and 3; f. 5 and 6, 25
and 30; g. 2/8 = 5/20; h. 8/5 = 4/2.5; i. 3/5 = 9/15; j. 5/10 and
9/18, not true

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Page 32: a. 7 and 21, 6 and 18; b. 6 and 8, 15 and 20; c. 12 and 4, 9
and 3; d. 1 and 4, 12 and 48; e. 5 and 8, 10 and 16; f. 7 and 12, 21
and 36; g. 7/21 = 6/18; h. 6/8 = 15/20; i. 12:4 = 9:3; j. 1:4 = 12:48;
k. 5:8 = 10:16; l. 7:12 = 21:36

Percents and Ratios
Page 33: a-b. Check graphs; c. 18%; d. 43%; e. 150%; f. 62%;
g. 86/100; h. 73/100; i. 180/100; j. 40/100; k. 1/100; l. 55/100;
m. 327/100; n. 0.6/100

Page 34: a. 16%; b. 837%; c. 130%; d. 92%; e. 19/100; f. 853/100;
g. 27/20; h. 1/4; i. 1/20; j. 7/10; k. 6 to 25; l. 89%; m. 34%

Percents, Fractions, and Decimals
Page 35: a. 43/50; b. 2/25; c. 3 2/5; d. 19/20; e. 53/100; f. 1/5;
g. 1 43/100; h. 1 1/100; i. 0.86; j. 0.08; k. 3.4; l. 0.95; m. 0.53;
n. 0.2; o. 1.43; p. 1.01; q. 61%; r. 7%; s. 125%; t. 240%; u. 90%; v. 37%;
w. 75%; x. 2%; y. 60%; z. 32%; aa. 50%; bb. 12.5%

Page 36: a. 0.15; b. 3/20; c. 30%; d. 3/10; e. 67%; f. 67/100; g.
220%; h. 2.2; i. 0.52; j. 13/25; k. 7.5%; l. 0.075; m. 87.5%; n. 1/2 of
the goats; o. 0.25

Percents and Proportions
Page 37: a. 25.6; b. 12.5; c. 19.6; d. 36 e. $9; f. $204.80;
g. 6 students

Page 38: a. $25; b. $798.40; c. 22 problems; d. $3,150;
e. 8 comedies; f. $3

The Percent Equation
Page 39: a. 6; b. 511; c. 44; d. 45; e. 8.1; f. 1.6; g. 9 students;
h. $23.52

Page 40: a. 63; b. 1.92; c. 32; d. 124; e. 3; f. 4; g. 36 members;
h. 60 cargo planes; i. $2.25

Percents Greater Than 100%
Page 41: a. 86; b. 90; c. 182; d. 1,112.5; e. 128; f. 512; g. 88; h. 344;
i. $258; j. 72 people

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Page 42: a. 62; b. 110.5; c. 251; d. 92; e. 76; f. 245; g. 1,290.5; h. 186;
i. 150 baskets; j. 7.5 hours

Relating Numbers by Percents
Page 43: a. 80%; b. 60%; c. 70%; d. 75%; e. 50%; f. 120%; g. 20%;
h. 40%; i. 175%; j. 85%

Page 44: a. 20%; b. 70%; c. 30%; d. 87.5%; e. 50%; f. 45%

Finding the Total
Page 45: a. 40; b. 80; c. 220; d. 350; e. 300; f. 360; g. 180; h. 200;
i. $220; j. 96 miles

Page 46: a. 2,400; b. 2,300; c. 170; d. 350; e. 40; f. 32; g. 30;
h. 36; i. $52; j. $128; k. 60 grams of fat.

Percent of Change
Page 47: a. 40% increase; b. 12.5% increase; c. 20% increase;
d. 50% increase; e. 42% increase; f. 100% increase

Page 48: a. 25% decrease; b. 60% decrease; c. 12.5% decrease;
d. 10% decrease; e. 40% decrease; f. 30% decrease;
g. 25% decrease; h. decrease; i. increase

Sales Tax and Discounts
Page 49: a. $0.54; b. $1,265; c. $24.61; d. $86; e. $1.50; f. $0.90;
g. $427.50; h. $6,480

Page 50: a. $1.33, $20.33; b. $12.60, $132.60; c. $7, $87; d. $10.50,
$310.50; e. $6.28, $131.88; f. $3.15, $55.65; g. $3.41, $65.41; h. $96,
$384; i. $125, $375; j. $9.90, $89.10; k. $50.70, $118.30; l. $637.50,
$212.50; m. $2.85, $16.15; n. $15, $35

Commission and Income
Page 51: a. $4,500; b. 3.5%; c. $80; d. 6%; e. $1,625; f. $1,185;
g. 35%; h. $625.68

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Page 52: a. gross income; b. net income; c. $45; d. 6%; e. $168;
f. $230.40, $57.60, $172.80; g. $122.40
Tips
Page 53: Answers may vary from those given due to rounding.
a. $10; b. $2; c. $18; d. $5; e. $5; f. $6.50; g. $3
Page 54: a. $2, $4; b. $10, $20; c. $8, $16; d. $3.50, $7; e. $4.80,
$9.60; f. $12.50, $25; g. $4, $8; h. $50, $100; i. Answer may vary.
Possible answer: 5% is half of 10%. Since 10% is $5, 5% is $2.50.
Sally can quickly see that 15% of $50 is $7.50. She should tip
$7.50.
Simple Interest
Page 55: a. principal; b. interest; c. interest = principal x rate x
time; d. $100; e. $20; f. $110.25; g. $540; h. $4.50; i. $126.75
Page 56: a. 1; b. 2; c. 4 d. 12; e. $27; f. $12.50; g. $11,900; h. $2,240;
i. $20.15
Compound Interest
Page 57: a. $94.58; b. $1,040.60
Page 58: a. 40; b. 36; c. $4.53; d. $541.21

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