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Equations,Ratio, Proportion, Percent and Interest Test
Name:_______________________
Solve:
1) 59 is 58% of what number?
2) What percentage of 81 is 13?
3) You and your friends order a meal for $155.79. How much should you leave (including tip) if
you want to leave a 18% tip?
4) You and your friends order a meal for $92.10. How much should you leave (including tip) if
you want to leave a 12% tip?
5) While shopping for a gift, you find the perfect pair of tennis shoes on sale for 90% off its
original $47.71 price. How much will you pay for the pair of tennis shoes?
6) While shopping for a gift, you find the perfect DVD on sale for 37% off its original $50.39
price. How much will you pay for the DVD?
7) Zina borrows $2350 at 6% simple interest per year. When Zina pays the loan back 6 years
later, what is the total amount that Zina ends up repaying?
8) Opal borrows $2590 at 2.9% simple interest per month. When Opal pays the loan back 8 years
later, what is the total amount that Opal ends up repaying?
9) Gina borrows $2720 at 16% interest compounded yearly. When Gina pays the loan back 6
years later, how much interest does Gina pay?
10) Tim borrows $3950 at 0.6% interest compounded monthly. When Tim pays the loan back 10
months later, how much interest does Tim pay?
11) A video game was originally priced at $10.38, and is marked down to $2.70. What is the
percentage decrease in price?
12) A skirt was priced at $2.01 last week. This week the same skirt is priced at $3.44. What is the
percentage increase in price?
13) A skirt was priced at $10.83 last week. This week the same skirt is priced at $4.73. What is
the percentage change in price?
14) A pair of sneakers was priced at $5.85 last week. This week the same pair of sneakers is
priced at $9.82. What is the percentage change in price?
15) Tim can travel 43 feet in 11 minutes. Please calculate Tim’s rate of speed. (round to 2
decimal places)
16) Dan found 60 lamps for $8. Please help Dan by figuring out the ratio. (round to 2 decimal
places)
17) A display case of gold chains are marked 9 for $61. If Peter wants to buy 144 gold chains,
how much will Peter spend (not including tax)?
18) A display case of video games are marked 31 for $5. If Lisa has $70, how many video games
can Lisa get? (Assume no tax or other fees.)
19) A aluminum bar 7 feet long weighs 21 pounds. What is the weight of a similar bar that is 3
feet 9 inches long?
20) If the ratio of grapes to walnuts to oranges is 9:3:11, how many grapes are there if the total
number of fruits is 161?
21) In a cafeteria, the ratio of the number of girls to the number of boys was 1:2. When 24 girls
entered the cafeteria, the new ratio of the number of girls to the number of boys became 2:1.
How many pupils were in the auditorium at first?
22) If Zach’s rent is $960 per month and Zach moved in on the 9
th
of July, what will Zach’s
prorated amount be?
Solve for x:
23) x − 8 = 1
24) x − 6 = -6
25) x + 7 = 9
26) x + 9 = -6
27) (x/3) = -7
28) (x/5) = 4
29) -8x = 32
30) -2x = 6
Solve:
31) It takes Yin 1 hours to paint a house and Erin 7 hours to do the same job. How many hours
would it take them to paint a house working together?
32) It takes Betty 3 hours to build a statue and Heather 3 hours to do the same job. How many
hours would it take them to build a statue working together?
33) Sara travels up a hill at 20 mph. and back down at 160 mph. What is the average speed for
the entire trip?
34) Lisa drives three laps around a track at 100, 80, and 60 km per hour. What is his average
speed?
35) Ursula is 5 years older than Larry. In 4 years Ursula will be twice as old as Larry is. How
old are they now?
36) Craig’s uncle at 25 years of age is 5 years more than 5 times as old as Craig. What is Craig’s
age?